Given f(x) defined as Evaluate the integral of 12 f(x)dx. f(x) = 3 64 1 -3 ≤ x < 0, 0≤x≤ 4, otherwise.

Q: Consider the function f(x) where. 2x²-x +3. if x>2 jf x=2 if x<a f(x) = 4 4-X Is the function…

A: Solution:

Q: Let f(x)=xsinx+V1-x Evaluate f'(-). Select one: а. 2 b. 0 C. d. 3

A: According to product rule of differentiation and according to power rule of differentiation .

Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: Consider the following. f(x) = 2x/ 16 – x², [-4, 4]

A:

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 3x + 7 on the…

A:

Q: - Calculate Rg for f(x) = 10 − x over [3,5].

A:

Q: x+3 4) Evaluate f dx x+1

A:

Q: Define Sx² – 5 if x 1 Calculate f(2).

A:

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: Consider the following function and closed interval. g(x) = (x² – 9)²/3, [-5, 4]

A:

Q: 4x f (x)=- x2 +4 %3D

A: f(x)=-4xx2+4

Q: C. L-1 9s² +25

A: Since all the questions are different and not related to each other, as per the guidelines I am…

Q: determine at which points, the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q is continuous.

A: Given To evaluate the points where the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q    is…

Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

A:

Q: '(x) = ( 13 + x1, (x-1)², x x

A: T(x)=|3+x|x&lt;-1(x-1)2x≥-1

Q: Find the open intervals on which the function f(x)=x+6*sqrt(5−x) is increasing or decreasing.

A: Given, f(x)=x+65-x

Q: Find the absolute extrema of the following function on the indicated interval.  f(x)=x^3+2x^2-3x+4…

A:

Q: Integrate the following function f(x)= 6x- + 2x – 5 dr

A:

Q: 2x : 1 3 is not one to one True False

A: Given: The function f(x)=2x : 1≤x≤3x   :  x&gt;3

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: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

A:

Q: Let f(x) = 11 + 5 f- (2) =

A: Given  f(x) = 11x + 5 To find  f-1(x)