15. If x = t^2 -1 and y = t^4 - 2t^3, then, when t = 1, d^2y/dx^2= O 1/2 O 1/5 0 1 O 3

Q: h(x)=5x^2 -2x^3 +1 what is h'(2)? a.-5 b.-8. c.-4 d.-8

A: The given function is

Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

Q: if y = secx prove that y^2+y=2y^3

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: ex dx 4 e* - 1)

A: Here we integrate the function.

Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: If y=x^9 -x^1/2, find (d^2y)/(dx^2)

A:

Q: Gen sol. y’’ +6y’+9y=t^-2 * e^-3t

A:

Q: Question 3.5: Calculate o dz. Question 3.6: Calculate o 1 - dz .

A:

Q: (4x'y² -2xy)dx + (3x'y' -x*)dy = o

A:

Q: find (d/dx)(3x^4+x^(1/5)/x^2-4)

A: Obtain the derivative of the function as follows.

Q: integrate a^x dx

A:

Q: 8x V a8 + 5 dx =.

A:

Q: Find d^2y/dx^2  Sinx+cosy=1

A:

Q: 9/ (4x’y² - 2xy)dx + (3xʻy* - x*)dy = o

A:

Q: S2xe dx

A:

Q: For each of the following y, find the d^2y/dx^2

A: We know, d/dx (xn)= nxn-1, for any real number n. d/dx(u(x)v(x))= v(x)*d/dx(u(x))+u(x)*d/dx(v(x))

Q: calculate  d^2y/dx^2 for y=e^7-2x + 12

A:

Q: Find dim(Q(a)), where

A:

Q: find d^2y/dx^2: y^3=4x^6

A:

Q: Evaluate y''' or d^3y/dx^3 of the function (1/3)x^3 + (1/3)y^3 = (1/3)^2  when x = 0

A: Given, 13x3+13y3=132.   The objective is to find y''' at x=0.   Now, 13x3+13y3=132y=91-3x333

Q: How can I rewrite this 0.9x^(-0.1) y^(0.1) / 0.1x^(0.9) y^(-0.9) into this: 9y/x

A:

Q: A particle is moving in such a way that its displacement xcm from the origin after t seconds is…

A:

Q: solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

A:

Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

A:

Q: find d^2y/dx^2 for y^2 + 2y=2x+1

A: Consider the function,

Q: 1−xy)^−2dx+[y^2+x^2(1−xy)^−2]dy=0;y(2)=1

A: