Given that 5 ≤ f(x) ≤ 6 for 3 ≤ x ≤ 6, estimate the value of r6 [ f(x) dx 6 [° 3 f(x) dx ≤

Q: By the power rule, True False d dx [2] · 2x−1 =X.

A:

Q: 4 For what value(s) of x is the function f(x) 2x? - 6х NOT continuous? A. x = 0 and x = 3 B. x = 3…

A: To find- For what value(s) of x is the function fx = 42x2 - 6x NOT continuous? x = 0 and x = 3 x =…

Q: For what value of the constant c is the function f continuous at 6 where if b ≤ 6 Jcb + 9 c(b)² 9 if…

A:

Q: Let X have a p.d.f. fx(x) = {} -1 < x < 2, otherwise. Find the p.d.f. of Y = X².

A: Given X have a p.d.f and Y=

Q: Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

A: Given:        ∫02x2+1dx       n=4 , a=0, b=2   Midpoint Rule…

Q: Find all the numbers for which f(x)20 if ƒ(x)= x* +2.x² +x² – 2x – 2. a. x>1. b. 지2-1. c. -1<x<1. d.…

A: First, draw the graph of f(x)=x4+2x3+x2-2x-2 . If the graph of f(x) is above the X-axis for the…

Q: Show that f dx = xV-1 + C

A: If ∫f(x)dx=F(x)+C, then it can be written that f(x)=ddxF(x). Here, f(x) is the derivative of F(x)…

Q: p) Determine | (hVx +r) dx (where h, r are real numbers).

A:

Q: 05. What is the positive interval for y =l-3x - 6| + 2? A. (-∞, –2) B. (-2, +∞) C. (-∞, +∞) D.…

A:

Q: Use the comparison theorem to compare Enter your answer using either ≤ or >. F = = [₁* (√x + I + 2)…

A: We will use comparison theorem to compare the given two Integrals.

Q: Find the values of a and b that makes the following function differentiable. S(2) – {3e¬3 la(6 – 2)²…

A: Given fx=3ex-3      if x&lt;3a6-x2+b   if x≥3

Q: 4. Evaluate Si (+) dydz

A: the given integral is ∫14∫12xy+yxdydx therefore,…

Q: On what interval(s) is the function y = –2x² + 3x/3 both increasing and concave down?

A:

Q: 口[ A 9. Fill in the table of values. f(x) > V+2 2 f(x) = Vx+2 -3 -2 -1 6. a. 1 b.-2 С. -1 d. 2 e. 3…

A: A

Q: /| r? dr dy ; N: 1 + y < 4r, I< 2, y 2 0

A:

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

A:

Q: Based on your knowledge of sequence that has been covered in the course ECON1003, classify the…

A: The given sequence 28, 21, 15, 10, 6,...... We have to determine whether the series is an arithmetic…

Q: b) Is f x(x² + 1)dx = ( + x) + C true or false? show me

A:

Q: Given the following function: f(x) = 2x For g(x) f(x) dx, determine g(x).

A: Given,       fx=2x       gx=∫fxdx

Q: 5. Assume that V × F = V × G. What is the most general relationship between F and G ?

A: ∇ x F = ∇x G =&gt; ∇ x (F - G) = 0

Q: Which of the following functions is differentiable for all values of x? a. fAx) = 2r' + 5x² b.…

A: Given problem:-

Q: x²-x 2)) S dx =? |x-1|

A:

Q: -6 (18 x x 4 + ²) bx² Y ។ 'F' 8.

A:

Q: Given that 2 ≤ f(x) ≤ 3 for −2 ≤ x ≤ 2, estimate the value of 2 -2 f(x)da < -2 f(x) dx

A: Given that 2≤fx≤3 for -2≤x≤2.   To estimate: The value of ∫-22fx dx

Q: Consider the function f(x) = 1/8 for 0 ≤ x ≤ 8. Find P(2.5 < x < 7.5). Do not round.

A: Given, f(x) = 1/8 for 0 ≤ x ≤ 8

Q: 1. Let f (x, y) = 3+ /1+x – y² a. Find f(0,0) b. Find the range of f. c. Find and sketch the domain…

A:

Q: 32. (Refer to the graph of f below) On which interval is f concave upward? y4 y= f(x) -2 6 x 8 -2…

A: The solution are next step