31. If f(x)=-1)*(x- 2)* 5* k find: f '(5) = ? k=1 (-1)* 3* a) E 5* k=1 b) (-1)*3* 5* k k=1 (-1)* 3k-1 5k 00 c) k=1 (-1)*3*-1 5*k d) k=1

Q: h(띠)= Jo 2+t+2 h(피) t2 +t+2 2)

A:

Q: 23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of the following…

A: Given:

Q: = E R is ² +1' 38. The range of the function y A. -Sus} B. -}

A:

Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

A:

Q: Determines the speed at which the two cars approach or move away from each other 0.5 hours later.…

A: The distance function d between two cars is given, we have to find at time t = 0.5 whether the car…

Q: 2+x 5. Given f(x) =<tX Find X-4 %3D a) fe) b) f(a+1) c) f(x) + f(h)

A:

Q: f(x)= 4x + 2 Domain = {-3, -1, 0, 2, 3} List the range }

A: The given function fx=4x+2 Domain -3, -1, 0, 2, 3 We have to find the range of the function.

Q: If f(x) - 5', show that f(x + h) – f(x) 5" h h

A: given that f(x)=5^x

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

A:

Q: 3. Find f'(x) for f(x) = 3x-4 2x+3

A:

Q: 4- 2. -2. -4 -6 10

A: Question is based on Observation of given graph.

Q: 17. Given f (x) = -4, find f-(x). b. d. C. a. d.

A: The given function is

Q: In Exercises 29-32, the graph of a function f(y) is given. Sketch the phase line for the autonomous…

A: As shown in figure f(y) is zero at the point y=a,b,c,d

Q: 119. If f(x) = a*, show that f(A + B) = f(A) • f(B).

A: Given: fx=ax For finding fA+B, we put x=A+B in given expression and simplify it

Q: 3. 5. 17. (f+g) (x) (f-g) (x) (fg) (x) If f(x) = 4x² + 3x -1 and g(x) = -8x + 5, find: (f+g) (-1)…

A: Since you have posted question with multiple parts. As per guidelines, we are supposed to answer…

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: 2 9. If f(x) =-(x- 5), determine the following %3D 3 f(17)- f(8) а) 17-8 (12)- f (4) b) 12 - 4

A: The given function    f(x)=23x-5

Q: If f(2) = 5 and f'(x) ≥ 2 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ► 20 X

A:

Q: point) If ƒ(5) = -3, g(5) = -4, f'(5) = -2, and g'(5) = -2, find the values of the following: %3D (f…

A:

Q: 2) Find of y = क सम्माय 2) r*+1)(2x+3)

A: Simplify the given expression and take log on both sides.…

Q: f"(x) = 2x + 5 and f'(-2) = 4 and f(-2) = -4. Find f'(x) = x^2+5x+10 and find f(2) = 76/3

A:

Q: y=ー-x+5 3 y=-x+7

A: This question is based on Substitution.

Q: 4 and a = 6. 3 Find (f)'(a) for the function f (x) = x²

A:

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.