Determine x = f(t) for dx (t² + 6t). dt = 6x + 6, t> 0; f(1) = 9.

Q: s(t) = (3t1/2+2)(5t1/3+1). Find the derivative of the function using the product rule and simplify…

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Q: d_(F(x*)) d dt dx dx 16

A: To find- solve the given equation.

Q: = 5x- 14/15 dx Find the function y(x) satisfying and y( - 1) = - 7.

A: Given, dydx=5x-1415   and  y(-1) = -7

Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

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Q: Suppose Find the value of f(82). f(82) = dx f(x) = 10, f(0) = 22.

A: I am attaching image so that you understand each and every step.

Q: Compute for y = [x² + 2] y = 3 1 x2 dy dx x³ + 2x + 1 (x - 1)² 3 X

A: Given that a function  and we find derivative of this function with respect to x. Here we use…

Q: Differentiate the function f(t) = t (11t+ 2). Answer f'(t) =

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Q: T/2 V1+cosx dx T/3

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Q: Suppose Find the value of f(10). f(10) = _. d _ƒ(x) = 6x, f(1) = 8. dx

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Q: f(x) dx = 18 and f(x) dx = 3.7, find f(r) dr.

A: using property of definite integration

Q: (m) y = f (n) y = f x +3 V1-x² dx x² + 10x + 30 2 -dx.

A: Solve the following

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.