F(x) = 3x² – 5x + 7 g(x) = -x' +7x – 16x – 2 h(x) = 2x+1

Q: (h) Shrink vertically by a factor of 4. (x) y f(x - 4) O y = 4f(x) Oy = f(x) - 4 Oy = f(x) + 4

A: For function f(x),  y = f(x - a), represents shift a units to the right. y = af(x),  represents…

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: 3. where 4. f'(0) where f(x)= x + x² 1

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Q: What is ∫3x(x2+2)5 dx? Do not include the constant "+C" in your answer. For example, if you found…

A: Given integral ,    ∫3x x2+25 dx        Let , x2+2=z=3∫ x2+25.dx            ⇒2x dx=dz=3∫z5.dz2…

Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

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Q: S For x 1/2 x-x3 dx and using the substitutionu=x1/2

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A: Given

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Q: Answer the question. x2+1, -1sx<0 0<x<1 5x, f(x) = -3, x = 1 -5x + 10 1<x<3 4, 3<x<5 d -6. 6.S... L…

A: Topic:- function and it's continuity

Q: What is / 3x(x² + 2)° dx? Do not include the constant "+C" in your answer. For example, if you found…

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Q: Evaluate. (Use C for the constant of integration.) x2 dx (1 – 25x²)3/2

A: Given,          ∫x21-25x232dx

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Q: O g(x) = (3t+ 2) dl t %3D

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Q: 7. f(x) = sech"(vi-x) 8. y = sech Inx

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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

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Q: x 3 X 14.J. J16-x 2 -dx V16-x² dx 15. Vx -1 4

A: Use integration rules

Q: What is the value of ∫k3 f(x) dx given that ∫313 f(x) dx=−3 and ∫13k f(x) dx=4?

A: Given:The integrated values

Q: J)(2) )(1) A (n) 13. f(x) = 2x; g(x) = 3x² + 1 15. f(x) 8x? - 3: g(x) = 3 – ÷x? %3D

A: our objective is to find the solution

Q: 6+ | f(x) dx = 21 and g(x) dx = 14, find (3f (x) + 5g(x)] dx.

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Q: f(x)=2e^(x+4)+e^4 f'(0)=?

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Q: 2x2 +x + 1 dx (x+1)(x2 + 1)

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Q: (x- 2y + 4)dx+ (2x – y + 2)dy = 0 %3D

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Q: 9. If f(x) dx = 35 and g(x) dx 14, find | [3f(x) + 4g(x)] dx. %3D

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Q: f(x) dx = 4 and 0 1₂ 2 +S²g(x)dx? 3 f(x) dx + -2 10 2 g(x) dx = 6, what is

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Q: Evaluate by any applicable method. 3 1 dx x2 –6x+10 4 None of the choices. Please refer to my…

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Q: 8.) Find of y3 = x* + 3x d?y dx2

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Q: 8. If f(x) dx 31 and %3D g(x) dx = = 14, find [3f(x) + 4g(x)] dx.

A: use given integral for finding the  value .

Q: Q3) Solve (ysin x + y²) dx – („+1 xsoɔ + *) - - 2xy) dy = 0

A: 3 Given differential equation is ysinx+y2dx−1y2+1+cosx−2xydy=0.......1. We have to find the solution…

Q: xf (x² )dx if / f(x)dx = 9. Find Enter the exact answer. %3D

A: Given query is to find the value of the integral.

Q: f(x)= x³ + 4X² - 10 .Xo = 1, Accuracy=0.001

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Q: y, = x2 + 2x + 2 Y2 = 2x + 18 dx 25- 20 15 y 10- 5- 6.

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Q: dy (x+2)² x² - 4 2y dx'x -4

A: find the solution of given differential equation. dydx+2yx2-4=x+22x2-4

Q: x*+4X+3 over the interval [1,4] 2. f(x) =

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Q: f (x² + 1)(x³ + 3x)² dx

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Find the complete solution: 16) = x2 – 2x – 4, y= -6 when x= 3 | dx

A: ∫xn dx = xn+1n+1+C

Q: f(x) = x²-3x + 7 concave upward concave downward X X

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Q: 2 f (x) = 6x¬3 + 3e* – 12/x 5 Vx2 9.

A: ddxxn=n xn-1ddxex=ex

Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: f(x)= 5(5x7+9x10)14 f'(x)=?

A: Derivative: - The derivative formula is one in all the foremost fundamental notions in calculus, and…

Q: Solve for particular solution. (x+x⁴+2x²y²+y⁴)dx + ydy = 0 ; when x = 1 y = 1

A: Let's find.

Q: Find the antiderivative of the function f(x)=3x^2-7x-2/x

A: