dy in terms of t: Differentiate parametrically to find dx y= 2t2 +4 t - 1 X = A [4t(t – 1)²] В [-4t(t – 1)²] © [-2tt – 1)²] [2t(t – 1)²] E None of the others

Q: Evaluate 6x² (x³ – 1) dx

A: Given,          ∫036x2x3-1dx

Q: find dy/dx : y =3√tan3xx2

A:

Q: Y-(92x²2x) (4x + 92x²) Find the dy

A: Product Rule of differentiation : du.vdx=udvdx+dudxv. dxndx=n.xn-1

Q: Give the relation ln(y)+y=x2 find dy/dx

A:

Q: y=(4x -5x +6)(e-sin 2x), then find dy at x 0.

A:

Q: Find the differential dy of the function y=-2²-3x - 2. Select one: O a. (-x-3)dx. O b. (-2x - 3)dx O…

A: dxndx=nxn-1d(constant)dx=0

Q: Find an expression for dy/dx. y= (u+5)(u-5) u= x2  + 7

A: Given expression are  y=u+5u-5=u2-52                                Using a+ba-b=a2-b2=u2-25…

Q: Integrate the following functions [(-2x² – 9x – 7)dx [(4x° – 9)* (20x“ )dx. i. ii. ji.

A:

Q: (x²–3)(x²+2) 1. dx x1 2. S a x-8 dx X-2

A:

Q: Find dy/dx if y = 3(x² − 2x)(6 + x5). O 21x6-36x5+ 36x - 36 21x6 + 36x5 + 36x - 36 O 21x6-36x5 + 36x…

A: Solve for the differentiation

Q: 2. (x+53y)e dydx %3D -1J0

A:

Q: In question (c), please use the computed result to explain why Dx=c is inconsistent

A:

Q: 10. Use the graph to fill in the information: Intervals of Increase Intervals of Decrease Positive…

A:

Q: Use dy/dx = -Fx/Fy to find dy/dx. 7tan-1(x2y) = x + xy2

A: The given equation Let

Q: Evaluate the to -y dxd

A: Given that, the integral is ∫01∫01-y2x2+y2dxdy. Obtain the value of ∫01-y2x2+y2dx.…

Q: O Find (a) |VT-x)/x dx, (c) (4-x*y² dx. Ans, ía) 1/60, (/) x/2. (c) 31

A:

Q: Find dy/dx.  Y3 + (y+2)2 - 1 - x2 = x

A: Expand the left hand side expression and isolate the variables x and y.…

Q: (c) Find the value of √a²-x² Sa giving your answer in terms of a. 1+ 2(x + y) x² + y² dx dy,

A:

Q: Determine for the following function: dy dx y=xヤ ヤャ (3lnx) 十++ 2(3lnx +1) ++e (3lnx + 1) 2(3lnx)

A: dy/dx = ?

Q: (X²y² + 1)dx +2x²dy =0 use the substitute xy=u

A:

Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

A:

Q: y = (3 – 4x)+/²(7 – 5x²)+/a dy dx

A: This can be solved as follows:

Q: dy dx = 2x2-5vxy = 4y2

A: 2x2-5xy=4y2We have to find the dydx

Q: Evaluate the six trigonometric functions of 0. 19. (-2, 3)

A: See below the calculation

Q: Trace the curve y? = (x - 1)(2x + 3)(3x – 1). %3D

A: Trace the curve y2=(x-1)(2x+3)(3x-1)

Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

A:

Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: (x+2)3 ln z y 3= (x² + 1)'/2 ° 25. Find y' when

A:

Q: f(3x . dx + 1) when f(u) = sin(u). Calculate d f(3x² + 1) = dx

A: f(u)=sin(u) To find: ddxf(3x2+1)