Questions (930)

# Question Topic Actions
701
Find dy/dx if y = xtan x
MTH 102 Past Questions View
702
Simplify ∫ (4x-5) / (x2 - x - 2) dx
MTH 102 Past Questions View
703
Find dy/dx if y = e2x log(x+6)
MTH 102 Past Questions View
704
Find dy/dx if y = esin 2x / cos 2x
MTH 102 Past Questions View
705
Evaluate ∫ 1 / (x2 + 4x + 7) dx
MTH 102 Past Questions View
706
Evaluate ∫ cos3x dx
MTH 102 Past Questions View
707
Differentiate y = log(x3 - x) + 73x
MTH 102 Past Questions View
708
Find dy/dx if y = xtanx
MTH 102 Past Questions View
709
If y = e2x log(x+6), find dy/dx.
MTH 102 Past Questions View
710
Evaluate ∫ (e2x + e-2x)/(e2x - e-2…
MTH 102 Past Questions View
711
Evaluate ∫ 1/(x2+4x+7) dx
MTH 102 Past Questions View
712
Simplify ∫ ex sinx dx
MTH 102 Past Questions View
713
Differentiate the function y = log(x3 - x) + 7(3/5)x with…
MTH 102 Past Questions View
714
Find dy/dx if y = xtanx.
MTH 102 Past Questions View
715
Simplify the integral ∫ (4x-5)/(x2-x-2) dx.
MTH 102 Past Questions View
716
If y = e2x log(x+6), find dy/dx. (Assume log denotes natural logarit…
MTH 102 Past Questions View
717
If y = esin2x / cos2x, find dy/dx.
MTH 102 Past Questions View
718
Simplify the integral ∫ 3x2ex3 dx.
MTH 102 Past Questions View
719
Find dy/dx if y = loge(cosx).
MTH 102 Past Questions View
720
Evaluate the integral ∫ cos3x dx.
MTH 102 Past Questions View
721
Find dy/dx if 3x2y + xy2 = 5.
MTH 102 Past Questions View
722
Obtain d/dx [ln(x2 / (x2+1))].
MTH 102 Past Questions View
723
If y = ∫f(x)dx + C, then ∫f(x)dx is called the _____
MTH 102 Past Questions View
724
Differentiate the implicit functions x2 siny - e2y cosx =…
MTH 102 Past Questions View
725
Simplify the integral ∫ ex sinx dx.
MTH 102 Past Questions View
726
Differentiate y = log(x3 - x) + 7(3x/2) with respe…
MTH 102 Past Questions View
727
Evaluate ∫ (e2x + e-2x) / (e2x - e-2x…
MTH 102 Past Questions View
728
Simplify ∫ 3x2 ex3 dx
MTH 102 Past Questions View
729
Find dy/dx if 3x2y + xy2 = 5
MTH 102 Past Questions View
730
Obtain d/dx ln(x2 / (x2 + 1))
MTH 102 Past Questions View
731
If y = ∫f(x)dx + C, then f(x) is called the -----
MTH 102 Past Questions View
732
Differentiate the implicit functions x2sin y - e2ycos …
MTH 102 Past Questions View
733
Evaluate ∫ Cos(ln x) / x dx
MTH 102 Past Questions View
734
Simplify ∫ ex sin x dx
MTH 102 Past Questions View
735
Simplify ∫ (4x-5)/(x2-x-2) dx
MTH 102 Past Questions View
736
If y = esin2x/cos2x, find dy/dx.
MTH 102 Past Questions View
737
Simplify ∫ 3x2ex3 dx
MTH 102 Past Questions View
738
Find dy/dx, if y = loge cos x
MTH 102 Past Questions View
739
Evaluate ∫ cos3x dx
MTH 102 Past Questions View
740
Find dy/dx if 3x2y + xy2 = 5.
MTH 102 Past Questions View
741
Obtain d/dx [ln(x2/(x2+1))]
MTH 102 Past Questions View
742
If y = ∫f(x)dx + C, then f(x)dx is called the _____.
MTH 102 Past Questions View
743
Simplify ∫ ln x dx
MTH 102 Past Questions View
744
Evaluate the integral ∫ (e2x + e-2x) / (e2x - …
MTH 102 Past Questions View
745
Find d/dx(ln(x³) + ln(7x))
MTH 102 Past Questions View
746
Find the first derivative of sec⁻¹ (5x) with respect to x?
MTH 102 Past Questions View
747
The direction of field at any point can be determined by drawing a?
PHY 102 Past Questions View
748
A capacitor has a capacitance of 4.0 µF. The resistor has a resistance of 2.5 M…
PHY 102 Past Questions View
749
The direction of the electric field at any point can be determined by drawing a:
PHY 102 Past Questions View
750
Evaluate the integral: ∫ x/(x-1) dx
MTH 102 Past Questions View
751
Given that a is a positive constant, evaluate the definite integral: ∫a
MTH 102 Past Questions View
752
Find the integral: ∫ (cos x / sin² x - 2e2x) dx
MTH 102 Past Questions View
753
Given that f(x) = (x-2)/(1-3x), What is f(0)?
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?
MTH 102 Past Questions View
756
The curve y=11-12x+6x²-x³ has one of the following,
MTH 102 Past Questions View
757
If the average cost per unit atom is given by the function C(q) = 1000 - 24q + …
MTH 102 Past Questions View
758
The equation of the tangent of the curve y² = 3x² + 1 is ?
MTH 102 Past Questions View
759
The equation of the normal of the curve y² = 3x² + 1 is ?
MTH 102 Past Questions View
760
Evaluate lim x→0 (ax - 1) / x
MTH 102 Past Questions View
761
The function f(x) = 1/x is discontinuous at the point?
MTH 102 Past Questions View
762
Find d/dx (ln(x²/(x+1)))
MTH 102 Past Questions View
763
What is d/dx (-ln(cos x))
MTH 102 Past Questions View
764
Find the derivative of y = e2x ln(x + 6)
MTH 102 Past Questions View
765
Evaluate the integral: ∫ (x / (x-1)) dx
MTH 102 Past Questions View
766
What is the limit: limx→0 (x / √(1-cos x))?
MTH 102 Past Questions View
767
Find the derivative of y = ln(x2/(x+1)).
MTH 102 Past Questions View
768
Given that y = e1-2x, evaluate y' at x = 1/2.
MTH 102 Past Questions View
769
Integrate ∫ ecos x sin x dx.
MTH 102 Past Questions View
770
The function y = x3 + 6x2 - 15x + 5 has a maximum value o…
MTH 102 Past Questions View
771
The function y = x3 + 6x2 - 15x + 5 has a minimum value o…
MTH 102 Past Questions View
772
Find the derivative of y = sec ax.
MTH 102 Past Questions View
773
The motion of a particle from O, is described by the equations S = (2/3)t3…
MTH 102 Past Questions View
774
The motion of a particle along a straight line is specified by the equation x =…
MTH 102 Past Questions View
775
The second derivative of 3 sin 2x is
MTH 102 Past Questions View
776
Find the area between the curve y = x2 and the x-axis between x…
MTH 102 Past Questions View
777
The differential equation (y'')2 + (y')3 - 3xy' = 2y is o…
MTH 102 Past Questions View
778
What is d/dx (tan-1(ax))?
MTH 102 Past Questions View
779
Differentiate the implicit function 3(x + y) + 2xy = cos x.
MTH 102 Past Questions View
780
Evaluate ∫ x/(x-1) dx.
MTH 102 Past Questions View
781
Find ∫ (cos x / sin2 x - 2e2x
MTH 102 Past Questions View
782
Find the derivative of y = 3 log(x - 1).
MTH 102 Past Questions View
783
Find the derivative of y(x) = log2 x
MTH 102 Past Questions View
784
Evaluate ∫ a sec ax tan ax dx.
MTH 102 Past Questions View
785
If y = √sin x, find …
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.
MTH 102 Past Questions View
789
The function y = x3 + 6x2 - 15x + 5…
MTH 102 Past Questions View
790
The function y = log x / x has the maximum val…
MTH 102 Past Questions View
791
If y = (3x - 2)(3 - x), find y = sec ax.
MTH 102 Past Questions View
793
The differential equation (y'')2 + (y')3<…
MTH 102 Past Questions View
794
The differential equation (y'')2 + (y')3<…
MTH 102 Past Questions View
795
Find the integral: ∫ (cos x / sin² x - 2e^(2x)) dx
MTH 102 Past Questions View
796
Given that f(x) = (x-2) / (1-3x), what is f(0)?
MTH 102 Past Questions View
797
The curve y = 11 - 12x + 6x² - x³ has one of the following:
MTH 102 Past Questions View
798
Evaluate lim x→0 (a^x - 1) / x
MTH 102 Past Questions View
799
Find d/dx (ln(x² / (x+1)))
MTH 102 Past Questions View
800
Find the derivative of y = e^(2x) ln(x + 6)
MTH 102 Past Questions View