9. If 3f(x) dx = 12, ſ,f(x) dx = 6, and S, g(x) dx = 2, find the values of the following. %3D f(x) dx f(x) dx b. a. d. (-пg(x)) dx g(x) dx c. ( f(x) + g(x) dx e.

Q: Suppose that w varies directly as x and the square of y and inversely as the square oot of z. If x…

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Q: Find P(2 < X < 5) using the cumulative function given by

A: The P(a ⩽ X &lt; b) can be obtained using cumulative function as P(a ⩽ X &lt; b)= F(b) - F(a)

Q: If y = ws determine the percentage change in y when w increase by 2%, s decrease 2. d* by 3% and d…

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Q: E n Σ(x − x) = (n − 1)σ. - -

A:

Q: 6. If f(x)dx = 5, S f(x)dx = 2, and f f(x) dx = -1, find , f)dx. %3! %3D a. -2 b. 2 С. —3 d. 3

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Q: If f(x) = x(e*+4æ) , then f'(x) = (A) (e + 4) In(x) + e+4x (B) (eª + 4) In(x) æ(e²+4æ) et+4x (C)…

A: Here we will find f'(x),

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Q: In z dz z4 e

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Q: If  h(2) = 5 and h'(2) = −2,  find d dx   h(x) x       x = 2.

A: Derivative Question

Q: [1] S(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – vx)* d. [3] S V1+ 2sin3xcos3xdx

A: As per bartleby guidelines we are support to answer only 3 subparts of a question. This post…

Q: I need help with 61. I am integrating with partial fractions.

A: Take the constant out.

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Q: -10 9. If S"f(x) + g(x))dx = 10, Sio g(x)dx = 3 and So 3f (x)dx = -45, 10 find f(x)dx

A:

Q: he crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is R(x)…

A: R(x) = 51500x4.14 + 1.09  x = 0.08 dx = Δx = 0.006 R(x) =R(0.08)=2.6

Q: (5)If 3, g(x)dx=5, then 2f(x)+3g(x)dx =. S 25(x) + 3g(x)dx =

A:

Q: .3 S(3 – e3*)²dx

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Q: 13 13 13 f(x)dx = 5 and Sam | [5f(x) - 7g(x)]dx. Given g(x)dx=6, find -

A: Given Data,∫213f(x)dx =5, ∫213gxdx = -6Note =∫abf(x)-gxdx =∫abf(x)dx-∫abgxdx∫2135f(x)-7gxdx…

Q: CV4-x2 4-x2-y2 1- o So Si s** ydzdydx Jx²+y2

A:

Q: How much of the total area would be to the right of 2 s.d. below the mean (i.e. x 2-2 s.d.)?

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A: 1): option (a) correct choice 2): option (c) correct choice

Q: 6. If f(x)dx = 5, f f)dx =2, and , f(x) dx = –1, find i f)dx. а. —2 b. 2 C. -3 d. 3

A:

Q: Assume that a factory can produce a quantity 2x3 + x°y + y4 of goods, when x is skilled workers, and…

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Q: S If 2x²+x+1 (x-1)(x + 1)(x-2) a A (B) - (D E 3 =1 3 C) None -2 B C dx = MAR √²+1 dx. dx, then the…

A:

Q: If (x+1) dx (x+2)(x-1)² S -=S= A B + x + 2 + x-1 C (x-1)2 dx, the values of A & C respectively are:

A:

Q: S ³f(x) dx = 5, ³g(x) dx = 7, and Which of the following can be determined given Ⓒ S (f(x) - g(x))…

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Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

A:

Q: 8x + y +z= 124,008 C) x + y - z = 0 x+ y +z = 124,000 0.09x + 0.08y + 0.1z = 11,400 9x + 8y + z =…

A:

Q: 8) y = (x² + 3)ln 4x5 dy (x² + 3) · dx 2x² In 4x° + 5x² + 15 1 - 20x + In 4x³ · 2x 4x A) dy 2х + 1…

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Q: 6 3 e dædy 2.

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Q: Consider z=e (*3+y2) Evaluate dx2 O (6r2+ 3x)e (*3+y2) (9x4+6x)e (x³+y²) (6x4+ 9x) e (x³+y²)

A: Topic = Derivative

Q: 1. Given that : {(2) dæ = 4, f(x) dæ = 3 and f(x) dx = 3 and | f(x) dx = 5, find: -1 (a) f(x) dx.…

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Q: ₁₁³f(x)dx=5₁ g(x)dx=7, and 5, Which of the following can be determined given A [ (4f(x) + 9h(x) dx ®…

A: See the details solution in below

Q: Find y' of xlny =e" +y y(e'– lny) A y-x x(e' – Inx) B) X-y x(e'- Inx) y-x y(e²– lny) D x-y

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Q: dx S is equal to e3x O 1/3 e^(-3x) + c O -1/3 e^(3x) + c O -1/3 e^(-3x) + C O 1/3 e^(3x) + c

A: To find: ∫dx e3x

Q: Find / Ux) + 3g(x)]dx if = 8 and / g(x)dx = -6. S(x) + 3g(x)]dx =

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Q: -5 #2. Suppose that S„ƒ(x)dx= 6 andS²,g(x)dx= -4. Find S°,[3f(x) – 0.5g(x)]dx.

A: To evaluate the given integral apply the following rules.

Q: 6) y = e *(x* – 5) dy A) dx 5x² 10x + 4x3 = 21(5e* + 2x²) dy 5x2 B) = e* · 10x · 4x³ + e³* · 10x ·…

A: Let h(x) = f(g(x)) for all x, then by chain rule   h'(x)=f'(g(x))g'(x)  Also if h(x)= u(x)v(x)  Then…

Q: •7 49–x² r83–x²-y² x dz dy dx %D 0, -15+x²+y²

A: I am attaching image so that you understand each and every step.

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A: Solution

Q: If L, f(x)dx = 18; L, g(x)dx = 5; and ſ, h(x)dx = -11 , evaluate ,[ƒ(x) + g(x) – h(x) ]dx. %3D

A:

Q: 10. If h(2) = 4 and h'(2) =-3 , find d (h(x) dx

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Q: Evaluate ſ xe3x dx A. (1/9)(3e³x – e³) + C B. (1/9)(3e³x + e3x) +C c. (1/9)(3xe3x – e3x) + C D.…

A: Integration by parts:∫u(x)v(x)dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: InY = c + aK + BL Suppose B = 0.5 and other factors are fixed, explain the percentage change in…

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Q: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function