[ƒ(3x) dx = 29. If f is a continuous function and F'(x) = f(x) for all x, then f(3x) dx = 1 O (A) F(15) - F (3) ○ (B) F(5) - F(1) O (C) (C) F (15) - F(3) O (D) 3F (15) - 3F(3)

Q: If f(x) is continuous on (-10,-3)such that, -10 -3 -10 I f(x) dx= 35; f(x)dx=71 find f(x)dx -5 -5 -3

A: In this question give that f(x) is a continuous function (-10,-3) find value of integration. Here i…

Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

A:

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: dx -= In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) A + - B 6. + 3 D + 6 + -15 -15 -15

A:

Q: If F(x) = (x − 1) 2 + 1; Evaluate F′(−1), F′(0), F′(2)

A:

Q: Find  f −1(x). f(x) = x2 + 1,    x ≥ 0

A:

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

A:

Q: Let f(x) and g(x) be defined as follows: f(x) = 2x+ 1, g(x) = /x-3 What is (fog)(x)?

A:

Q: let f(X)=5x +(-3) find the largest & sothat [fx)-F(a]]<E when(x-a/<8

A:

Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: 1. Use forward and backward difference approximations of O(h) and a centered difference…

A:

Q: If f(t) = (1 + 0.04)t, what is f(0)?

A: note that (any number)0 =1

Q: Find (|x+1|dx -3

A:

Q: Determine F(x) = J (x+1)dx x3+3x2+7x+5

A:

Q: Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

A: Consider the given function fx=xx2+x

Q: F(x) = 2ln(x). What is F′(2)?

A: we have to find derivative of f(x) at x=2where f(x) is given by

Q: x2 (C) S²_₁₁√x+2 -1 dx

A: To find ∫-17x2x+2dx