Given that 4 ≤ f(x) ≤ 6 for 2 ≤ x ≤ 5, estimate the value of [ f(x) dx D≤ ²} 1 2 f(x)dx:

Q: let f(x)= X be 1 213 (-√5 < X<√) Y.V Pind P{/X/7/1.5},

A:

Q: Find the c value satisfying MVT for f(x) = 3x² + 2 in 1 < x < 5

A: Given: fx=3x2+2 in interval 1&lt;x&lt;5

Q: x=5, evaluate: a. 12 b. Jasnde d. f19f(x)-12g(x)|dx

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: IS The function f(x)=\x3 Find The value of K, to continue The Function Con tinuous in intervaln X-2…

A: Answer

Q: 9. If f is continuous and | f(x) da = 3, find æf(x?) dx.

A: We have to evaluate the given definite integral using the other definite integral.

Q: r what value of a is the function f (t) = 08 O-15 O -30 O 24 t -a, -10 < t ≤ 3 t² + 8t, 3 < t < 10…

A:

Q: Given that 2 < f(x) <4 for 1 <x< 2, estimate the value of | f(x)dx f(x)dx <

A: Since we have 2≤f(x)≤4 for 1≤x≤2, we have to estimate the value of ∫12f(x)dx.

Q: Is the following true or false?

A:

Q: Given that 7 ≤ f(x) ≤ 9 for -2 ≤ x ≤ 2, estimate the value of ≤ [² f(x)d f(x)dx ≤ f [ ²³ f ( ²…

A:

Q: The table gives the values of a function obtained from an experiment. Use the table to estimate f(x)…

A:

Q: 3. Let h(x) = (f og)(x). Given f(x) = 3x2 +5 and g(x) = Vx – 3. a. Evaluate h(4). b. Determine fx).

A:

Q: If # f(x) > 48 for x [2,10], then b [ f(a) da ≥ 384, where a =2 and b = 10. a Select one: O True O…

A: First I have written a property of integral and easily find the True is correct option.

Q: Assuming 0 &lt; c &lt; d, find the value of b (in terms of c and d ) for the function given

A: given: 0&lt;c&lt;d. the given integral is∫cdx+bdx=0 ∫cdx+bdx=0x22+bxcd=0d22+bd-c22+bc=0

Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

Q: [ f(x) dx 3 Given that 1 ≤ f(x) ≤ 4 for 3 ≤ x ≤ 7, estimate the value of ] ≤ [ f(x)da <

A: Estimated value formula m(b-a)&lt;=int_a^b f(x) dx&lt;= M(b-a)

Q: 2. For f (x) 1, g (x) = 1 + Vx, find the domain and range of f / g, and g/f

A: Given: fx=1, gx=1+x

Q: Given that 7 < f(x) < 9 for 3 < x< 4, estimate the value of f(x)dx 曲 S f(x)dx <

A: Explained below

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

A:

Q: complete the following table for y = f(x) = 3x² and the indicated value of a = 2 h AN -0.1 -0.01…

A:

Q: The Range of y = [2x + 1] is Z, TO F

A: As given function is Greatest Integer Function and we Know that greatest integer function is…

Q: Find f(fF())

A:

Q: . A function f(x) has the following properties: (=) de = 4, f(2)dz = 6, f(2)dz S r(2) dz = -2, […

A: a) We divide the integral into three subintegrals

Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Suppose that f(x,y)= [15x²y ; 0<x<y<1 0; otherwise.

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: Let f'(x) = x*+4x³ + 2x² + 12x+1. a. For what values of x is f(x) concave up? (Blank 1) b. For what…

A: The given first derivative function is

Q: If f is a positive function and f"(x) < 0 for a < xs b, show that T, < f(x) dx < M,

A: f is a positive function and f''(x)&lt;0 for a≤x≤b This tells us that f is concave down over the…

Q: Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

A: In this we have to do the integral of given function so I'm providing hand written solution for this