Q1. For the function f(x) = 3x² + 5x – 1, determine the required average and instantaneous rates of change. c) instantaneous rate of change at x = 2 using an interval strategy. (Use h = 0.01)

Q: Find d/dx (arcsin (π/x^2))

A:

Q: Solve the initial value problem. 1 dy y cos 0 Ꮎ ᏧᎾ 4 y + 1 . y(x) = 1

A:

Q: Use implicit differentiation and solve for dy/dx if 6x+(x^3)y+3y^2=10.

A: The technique of implicit differentiation allows us to find the derivative of y with respect to x…

Q: 700x+30,000y=9xy-0.0004x^2-7y Find the rate of change of the number of hours with respect to the…

A:

Q: A television camera at ground level is 2000 ft away form a launching pad of a space rocket that is…

A:

Q: Integrate xtanx with respect to x

A: We have to solve this integral by  Integration by parts rule, Formula is  ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: Find the derivative. ( cos ft dt x10 COS^/

A:

Q: arcsin(4x) arccos (x)

A:

Q: 7. Calculate the instantaneous rate of change for the function y = xe* when x = 2.

A: The given function is:

Q: Evaluate (from 1 to 3) ∫(x^2+2)/x dx

A: