Objective Questions
All objective questions for MTH 102
Questions (930)
| # | Question | Topic | Actions |
|---|---|---|---|
| 701 |
Find dy/dx if y = xtan x
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MTH 102 Past Questions | View |
| 702 |
Simplify ∫ (4x-5) / (x2 - x - 2) dx
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MTH 102 Past Questions | View |
| 703 |
Find dy/dx if y = e2x log(x+6)
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MTH 102 Past Questions | View |
| 704 |
Find dy/dx if y = esin 2x / cos 2x
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MTH 102 Past Questions | View |
| 705 |
Evaluate ∫ 1 / (x2 + 4x + 7) dx
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MTH 102 Past Questions | View |
| 706 |
Evaluate ∫ cos3x dx
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MTH 102 Past Questions | View |
| 707 |
Differentiate y = log(x3 - x) + 73x
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MTH 102 Past Questions | View |
| 708 |
Find dy/dx if y = xtanx
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MTH 102 Past Questions | View |
| 709 |
If y = e2x log(x+6), find dy/dx.
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MTH 102 Past Questions | View |
| 710 |
Evaluate ∫ (e2x + e-2x)/(e2x - e-2…
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MTH 102 Past Questions | View |
| 711 |
Evaluate ∫ 1/(x2+4x+7) dx
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MTH 102 Past Questions | View |
| 712 |
Simplify ∫ ex sinx dx
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MTH 102 Past Questions | View |
| 713 |
Differentiate the function y = log(x3 - x) + 7(3/5)x with…
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MTH 102 Past Questions | View |
| 714 |
Find dy/dx if y = xtanx.
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MTH 102 Past Questions | View |
| 715 |
Simplify the integral ∫ (4x-5)/(x2-x-2) dx.
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MTH 102 Past Questions | View |
| 716 |
If y = e2x log(x+6), find dy/dx. (Assume log denotes natural logarit…
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MTH 102 Past Questions | View |
| 717 |
If y = esin2x / cos2x, find dy/dx.
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MTH 102 Past Questions | View |
| 718 |
Simplify the integral ∫ 3x2ex3 dx.
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MTH 102 Past Questions | View |
| 719 |
Find dy/dx if y = loge(cosx).
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MTH 102 Past Questions | View |
| 720 |
Evaluate the integral ∫ cos3x dx.
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MTH 102 Past Questions | View |
| 721 |
Find dy/dx if 3x2y + xy2 = 5.
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MTH 102 Past Questions | View |
| 722 |
Obtain d/dx [ln(x2 / (x2+1))].
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MTH 102 Past Questions | View |
| 723 |
If y = ∫f(x)dx + C, then ∫f(x)dx is called the _____
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MTH 102 Past Questions | View |
| 724 |
Differentiate the implicit functions x2 siny - e2y cosx =…
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MTH 102 Past Questions | View |
| 725 |
Simplify the integral ∫ ex sinx dx.
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MTH 102 Past Questions | View |
| 726 |
Differentiate y = log(x3 - x) + 7(3x/2) with respe…
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MTH 102 Past Questions | View |
| 727 |
Evaluate ∫ (e2x + e-2x) / (e2x - e-2x…
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MTH 102 Past Questions | View |
| 728 |
Simplify ∫ 3x2 ex3 dx
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MTH 102 Past Questions | View |
| 729 |
Find dy/dx if 3x2y + xy2 = 5
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MTH 102 Past Questions | View |
| 730 |
Obtain d/dx ln(x2 / (x2 + 1))
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MTH 102 Past Questions | View |
| 731 |
If y = ∫f(x)dx + C, then f(x) is called the -----
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MTH 102 Past Questions | View |
| 732 |
Differentiate the implicit functions x2sin y - e2ycos …
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MTH 102 Past Questions | View |
| 733 |
Evaluate ∫ Cos(ln x) / x dx
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MTH 102 Past Questions | View |
| 734 |
Simplify ∫ ex sin x dx
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MTH 102 Past Questions | View |
| 735 |
Simplify ∫ (4x-5)/(x2-x-2) dx
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MTH 102 Past Questions | View |
| 736 |
If y = esin2x/cos2x, find dy/dx.
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MTH 102 Past Questions | View |
| 737 |
Simplify ∫ 3x2ex3 dx
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MTH 102 Past Questions | View |
| 738 |
Find dy/dx, if y = loge cos x
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MTH 102 Past Questions | View |
| 739 |
Evaluate ∫ cos3x dx
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MTH 102 Past Questions | View |
| 740 |
Find dy/dx if 3x2y + xy2 = 5.
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MTH 102 Past Questions | View |
| 741 |
Obtain d/dx [ln(x2/(x2+1))]
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MTH 102 Past Questions | View |
| 742 |
If y = ∫f(x)dx + C, then f(x)dx is called the _____.
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MTH 102 Past Questions | View |
| 743 |
Simplify ∫ ln x dx
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MTH 102 Past Questions | View |
| 744 |
Evaluate the integral ∫ (e2x + e-2x) / (e2x - …
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MTH 102 Past Questions | View |
| 745 |
Find d/dx(ln(x³) + ln(7x))
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MTH 102 Past Questions | View |
| 746 |
Find the first derivative of sec⁻¹ (5x) with respect to x?
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MTH 102 Past Questions | View |
| 747 |
The direction of field at any point can be determined by drawing a?
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PHY 102 Past Questions | View |
| 748 |
A capacitor has a capacitance of 4.0 µF. The resistor has a resistance of 2.5 M…
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PHY 102 Past Questions | View |
| 749 |
The direction of the electric field at any point can be determined by drawing a:
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PHY 102 Past Questions | View |
| 750 |
Evaluate the integral: ∫ x/(x-1) dx
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MTH 102 Past Questions | View |
| 751 |
Given that a is a positive constant, evaluate the definite integral: ∫a
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MTH 102 Past Questions | View |
| 752 |
Find the integral: ∫ (cos x / sin² x - 2e2x) dx
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MTH 102 Past Questions | View |
| 753 |
Given that f(x) = (x-2)/(1-3x), What is f(0)?
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MTH 102 Past Questions | View |
| 754 |
Given that f(x) = (x-2)/(1-3x), What is f⁻¹(x)? |
MTH 102 Past Questions | View |
| 755 |
Find the derivative of y = ln ax?
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MTH 102 Past Questions | View |
| 756 |
The curve y=11-12x+6x²-x³ has one of the following,
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MTH 102 Past Questions | View |
| 757 |
If the average cost per unit atom is given by the function C(q) = 1000 - 24q + …
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MTH 102 Past Questions | View |
| 758 |
The equation of the tangent of the curve y² = 3x² + 1 is ?
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MTH 102 Past Questions | View |
| 759 |
The equation of the normal of the curve y² = 3x² + 1 is ?
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MTH 102 Past Questions | View |
| 760 |
Evaluate lim x→0 (ax - 1) / x
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MTH 102 Past Questions | View |
| 761 |
The function f(x) = 1/x is discontinuous at the point?
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MTH 102 Past Questions | View |
| 762 |
Find d/dx (ln(x²/(x+1)))
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MTH 102 Past Questions | View |
| 763 |
What is d/dx (-ln(cos x))
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MTH 102 Past Questions | View |
| 764 |
Find the derivative of y = e2x ln(x + 6)
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MTH 102 Past Questions | View |
| 765 |
Evaluate the integral: ∫ (x / (x-1)) dx
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MTH 102 Past Questions | View |
| 766 |
What is the limit: limx→0 (x / √(1-cos x))?
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MTH 102 Past Questions | View |
| 767 |
Find the derivative of y = ln(x2/(x+1)).
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MTH 102 Past Questions | View |
| 768 |
Given that y = e1-2x, evaluate y' at x = 1/2.
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MTH 102 Past Questions | View |
| 769 |
Integrate ∫ ecos x sin x dx.
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MTH 102 Past Questions | View |
| 770 |
The function y = x3 + 6x2 - 15x + 5 has a maximum value o…
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MTH 102 Past Questions | View |
| 771 |
The function y = x3 + 6x2 - 15x + 5 has a minimum value o…
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MTH 102 Past Questions | View |
| 772 |
Find the derivative of y = sec ax.
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MTH 102 Past Questions | View |
| 773 |
The motion of a particle from O, is described by the equations S = (2/3)t3…
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MTH 102 Past Questions | View |
| 774 |
The motion of a particle along a straight line is specified by the equation x =…
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MTH 102 Past Questions | View |
| 775 |
The second derivative of 3 sin 2x is
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MTH 102 Past Questions | View |
| 776 |
Find the area between the curve y = x2 and the x-axis between x…
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MTH 102 Past Questions | View |
| 777 |
The differential equation (y'')2 + (y')3 - 3xy' = 2y is o…
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MTH 102 Past Questions | View |
| 778 |
What is d/dx (tan-1(ax))?
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MTH 102 Past Questions | View |
| 779 |
Differentiate the implicit function 3(x + y) + 2xy = cos x.
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MTH 102 Past Questions | View |
| 780 |
Evaluate ∫ x/(x-1) dx.
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MTH 102 Past Questions | View |
| 781 |
Find ∫ (cos x / sin2 x - 2e2x
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MTH 102 Past Questions | View |
| 782 |
Find the derivative of y = 3 log(x - 1).
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MTH 102 Past Questions | View |
| 783 |
Find the derivative of y(x) = log2 x
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MTH 102 Past Questions | View |
| 784 |
Evaluate ∫ a sec ax tan ax dx.
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MTH 102 Past Questions | View |
| 785 |
If y = √sin x, find …
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MTH 102 Past Questions | View |
| 786 |
If y = eax2+b, find |
MTH 102 Past Questions | View |
| 787 |
Using the substitution t = tan(x/2), solve |
MTH 102 Past Questions | View |
| 788 |
Integrate ∫ ecos x sin x dx.
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MTH 102 Past Questions | View |
| 789 |
The function y = x3 + 6x2 - 15x + 5…
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MTH 102 Past Questions | View |
| 790 |
The function y = log x / x has the maximum val…
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MTH 102 Past Questions | View |
| 791 |
If y = (3x - 2)(3 - x), find y = sec ax.
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MTH 102 Past Questions | View |
| 793 |
The differential equation (y'')2 + (y')3<…
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MTH 102 Past Questions | View |
| 794 |
The differential equation (y'')2 + (y')3<…
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MTH 102 Past Questions | View |
| 795 |
Find the integral: ∫ (cos x / sin² x - 2e^(2x)) dx
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MTH 102 Past Questions | View |
| 796 |
Given that f(x) = (x-2) / (1-3x), what is f(0)?
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MTH 102 Past Questions | View |
| 797 |
The curve y = 11 - 12x + 6x² - x³ has one of the following:
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MTH 102 Past Questions | View |
| 798 |
Evaluate lim x→0 (a^x - 1) / x
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MTH 102 Past Questions | View |
| 799 |
Find d/dx (ln(x² / (x+1)))
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MTH 102 Past Questions | View |
| 800 |
Find the derivative of y = e^(2x) ln(x + 6)
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MTH 102 Past Questions | View |