(Initial-value Problem) Find the function f(x) that satisfies 5 f(1) = 12 . √x Then, enter the value of ƒ(4) . (Enter your answer as a decimal as needed. Do not do any rounding.) f'(x) = and

Q: After a recent flood the water level of a river is 43 feet, measurements show that it is receding at…

A: Given, W = fd = -3d +43  We have to find the formula for inverse function

Q: Find the derivative of the function. 9 + 7x - 6/x y =

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Q: f(x) = 3x².³√x² + 5t +e" find the derivative

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Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: Water is leaking from a tap at a rate of x cm³/min. (a) Write down an expression for the time taken…

A:

Q: a critical point of fif either f'(c) = 0 orf'(c) does not exist. ) is an absolute maximum value of…

A: Solution is here

Q: Consider the following. f(x) = (a) f(x) = −4x³ + 7x4 − 9x +3 (b) Evaluate each of the following.…

A: Given: To Find: (a) To find (b) To evaluate .

Q: onsider the function F(x)=(2x2-50)/ (x-5). If we require the values of F(x) to be within e…

A: Explanation of the answer is as follows

Q: Find the derivative the following functions. a) h(x) = 4√√x+3x8 +5ex + π² x³-6x²+8x b) g(x) x²-2x =

A: The given functions are The aim is to find the derivative of the given functions.

Q: 1. Consider the function g(x) = x3 +3x2 +1. (i) Find the derivative g (x) = ?? (ii) Factor the…

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Q: х2-х-6 9. Given the function f (x) = Determine the following: х2+2х-8' i. Graph

A: sketch the graph of given function

Q: f(5) = 4 f'(5) = 2 g(5) = 1 g(5) = 4

A: