Determine c and d so that f(x) is continuous if C = 15/2 d = 3/2 3x² + cx + d f(x) = -3 dx² + 6x + c x <-1 X = -1 x>-1

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: find (f o g) (2): f(x) = x^2 + 1, g(x) =x -1

A: (f o g) (2) = f(g(2)) So we will find g(2) by plugging x=2 in g(x) g(x)=x-1 g(2)=2-1 g(2)=1

Q: f(x) = 3x² - 2x-2, [-1,2]

A: To determine if the function   is continuous over the interval [−1,2], we need to check three…

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

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

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Q: use the second derivative test to find the local exterma of the function f(x) =x3 -9x2-48x+72 on R

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Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

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Q: Differentiate

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Q: Differentiate the function In x f(x) = In 2x +3, x>0

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Q: Differentiate. f(x) %3Dx =x° +x' d dx (x)] =

A: ddxxn = n·xn-1

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(-3)) B. f(h(7))…

A: I have given the answer in the next step. Hope you understand that

Q: Q.1) Show that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find the corresponding analytic…

A: It is given that ;         u = 3x2y+2x2-y3-2y2 And we have to show that u is harmonic  and to find…

Q: why does F(r(t))=-r/(1+(a-1)t)^3/2 instead of r^3? does |r| just equals to 1+(a-1)t?

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: Let f(x) 14x + 10 f(z) =

A: Given function :

Q: Let f(x) = f(-1) = = f(-5) = f(-6) = 8x - 2, -x², X ≤ -5 X > -5' Find f(-1), f(-5), and f(-6).

A: Solve the given function

Q: Let f(x) = 7+ /6x – 8. Find f(x). f (2). f (x) =

A: For finding inverse function swap the variable and equation solve for x

Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

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