Find the function y in terms of x, given that y = – 1 when x = 2, if dy/dx = 3 - 2x Choices: y = 3x - (2/3) x^2 - (2/3) y = 3x - (2/3) x^2 + (5/3) None of the choices

Q: Differentiate the function f(t) = t^3 − it^2 when t = 2

A: Here, f(t)=t3-it2⇒f'(t)=3t2-i(2t)⇒f'(t)=3t2-2ti

Q: 2 ~² S-₁ (2-x²)²³ - (x²)² dx = π

A:

Q: Differentiate the function. h(t) = √t-8e* h'(t)

A:

Q: X 2 Find x² +1 -dx

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 two positive numbers so that the sum of the first and twice the second is 100 and the product…

A: Let two positive numbers are x and y. Given that the sum of the first and twice the second is 100 .…