Given the piecewise function defined below, determine the value of | f (x)dx in simplest form. (32? + 3 f (x). for x < 2 |3x2 – 5 for x > 2

Q: Find the domain of the function    f(x)= 31x/x-3

A: For any rational function the denominator can not be 0.

Q: ber} c) = V52 − 3 -

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Q: f(x) = +x* – x' x² + 2x – 1 4 - - -

A: Given: fx=14x4-23x3-12x2+2x-1

Q: 8-4 Identify all the points of discontinuity of the function ()%D 4)/(4x3-x)]. Classify each type of…

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Q: 16. f" (x) = x² + p3 %3D

A: The given function is f''x=x2+x3. The function f(x) can be obtained by integrating the given…

Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: Let f(x) = 3-4x. Find f(-2). f(-2)% =

A: Let f(x) = 3 - 4x, We have to find the value of f(-2)

Q: Find f(x) for the following function: f(x) 4 + 6 f(x) =

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Q: Let f(x) = 10 − 3x2. Find each function value. a. f(2)   b. f(−4)   c. f(x − 1)

A: Since, we have f(x)=10-3x2(a)f(2)=10-3(2)2 ⇒f(2)=10-3(4)=10-12⇒f(2)=-2

Q: Find intervals of increasing or decreasing for f(x)= 2x² +3x – 36x. Show me your table.

A: Differentiate the function fx with respect to x. f'x=6x2+6x-36

Q: Differentiate the function. f(x) = 16{x – 3 +2x

A: Given   f(x) = 16 x4-3+2x     now differentiating 1 w.r.t. 'x ' , we get    f'(x) = ddx16x14-3+2x…

Q: Plot the functions x, x2, exp(-x), exp(-x2) on a single graph for x between 0 and 5. Repeat the…

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Q: За - 1, Find an expression for the indicated function if f (x) g (x) = -3x², and h (x) = 4+ x2. Show…

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Q: Evaluate the function f(x) = 5 - 7x at the given values of theindependent variable and simplify; a.…

A: The given function is f(x)=5-7x