Question 3 Suppose that f satisfies | f(x) dx = 6 and 1| f(x)dx= –4. Calculate -5 (2.x + 10 – f(x)) da.

Q: Write as a single interval form (interval sign with b on top and a on bottom) f(x) dx: (interval…

A: The given information is “(interval sign with 2 on top -2 on bottom) f(x) dx + (interval sign with 5…

Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

Q: 5. Simplify the difference quotient f(a+h)-f(a) for the function f(x)%3D 3x+4 Use %3D h correct…

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Q: 3. Consider the following table of values for two functions f and g: X 1 2 3 4 f(x) 2 4 1 3 f'(x)…

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Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: By carefully showing all your steps, differentiate the function f(x) = (tan−¹(x + √√x)) 4

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Q: Is f (x) = ( ½) x increasing or decreasing?

A: Given: fx=12xIncreasing Function:    If  f'x>0  for every x on some interval I, then fx is…

Q: x + 4 6. Let f(x) find the following: x - 3 a) f(2) b) f(4) c) domain of f

A: Use the value of x for finding the function.

Q: A function f is defined by f(x) = 3x + 1. Find the following. (a) f(0) (b) f(4) f(-2)

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Q: Suppose a car drives north on I-95 starting from Miami. Let f(t) denote thenumber of miles from…

A: f(5) − f(3)/5 − 3 represent displacemennt/time taken from 3hours to 5 hours i.e. 2 hours

Q: Find f(x) if f (x) = x/x given f(1) = 2. %3D

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Q: Pleased show step-by-step

A: The given function is

Q: ex - 32 √x +x 22

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Q: (#9) S x2 dx V16-x²

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Q: (0) On the interval [6, 9], / f(x) dr %3D

A: Integration of f(x) on the interval [6,9] is given by:

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: . Let h (x) = f (x) + g (x). Find a. h' (1), b. h' (3) , and c. h' (4).

A: Given Data: Function: h(x)=f(x)+g(x) The derivative of function h(x) with respect to x is,…

Q: Can f(z) = | Re (z2) | + i.Im (-z) be derived from the function z=0? Show it.

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Q: What input is NOT allowed for f(x)= 1/5x-25

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Q: Differentiate the following and simplify. Show all work, thank you! Part ( a) and (b).

A: