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Q: Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: If •S" (x + 5) dx = 14, then the value of b is equal to A) None B 2 C 4 D -3 (E) 3

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Q: exdx 4-ex

A: We can find the integration as below.

Q: 16. Find the area bounded by the curve y=-x³--x²+3x and the line y=x. 16 4

A: 16)Given,y=x316-3x24+3x and y=x

Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: What is the solution to the differential equation 2√√ay- da Oy = ( ² √₂-2) ? 3 Oy=(2²√x - 2) ³ 1 =…

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Q: e volume of the solid generated by revolving the region bounded by x²=4y and y²=4x about y to be…

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Q: Evaluate and Solve the function using the product and quotient rule of differentiation. Show your…

A: Here we have to use the concept of derivatives.

Q: (D³ - 2D + 4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

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Q: QUESTION 1 In x Complete the following table to evaluate the limit lim X-00 √x Step Explain the step…

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Q: 2x²+x-2 (x+1)(x²+1) None 5 2 2 5 4 if f If A (B) C D E 1 5 | + 4 -MA+ x+1 -dx = А B (2x) + C x²+1…

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Q: | 5 dx Evaluate: (x-3)² (Α) - 1 B) ∞o (does not exist) C) I D 0 (E) None

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Q: y = 9x² and y = 0 about x = −4

A: Given:        y=9-x2 and y=0         x2=9           x=3 about x=-4

Q: QUESTION 9 Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)…

A: Please see the below picture for detailed solution.

Q: 1= sin√xcos√x √x A) None Зл B 256 Зл C 512 3 D 256 3 E 512 -dx is equal to

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Q: 10 If if ff 10 1 [ f(x) dx = 12, then [ f(x) dx = f(x) dx = 17 and (A) True B) False

A: Given : ∫010f(x)dx=17     and  ∫810f(x)dx=12

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A:

Q: Л 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=-tox= 4 4 A 1.414…

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Q: dx S= can be transformed to which of the following when trigonometric substitution is used (x²+4)²…

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Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries.…

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Q: y = x4; and y = 1 about y = 2

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Q: please answer letter b only,

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Q: usz 52 и (Inn)" 14 и OF U dim

A: We need to find limit.

Q: Q = - ST 8-x²-y² x² + y² y dz dx dy

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Q: Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and…

A: We have to find volume generated by given condition.

Q: Find the derivative of the following functions by using the limit definition of the derivative.…

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Q: Question 5 fx²√3x dx is equal to 0 -27 (3 - a) 3 - -5 7 (3— æ) +15√(3-x) - + 2 2 -5 0 æ) −3 (3 – a)…

A: To find out the integration.

Q: (D² + 4)y = 4 cot 2x

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Q: 3. f(e-²x - 1) dx

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Q: Exercises To Solve [NO.5] D "Cosx dx. Sinx+25inx+5 6 3 b

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Q: əz Əz Əx Əy Q5-A) If z =(x +by)² +e+by+sin( ax +by) show that b =a

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Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A: As per Bartleby guidelines rule I am answering only first question as other questions are not a…

Q: Question 15 Find the area bounded by the curve y = -x 16 A 8 square units B 16 square units C10…

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Q: Question 1 1 Define Q as the region bounded by the function f(x) = x and the line x in the first…

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Q: O 15.21 square units 33.43 square units O 43.23 square units O 22.89 square units

A:

Q: A particle is moving with acceleration a(t) = 30t + 8. its position at time t = 0 is s(0) velocity…

A: topic- integration

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: This question is related to definite integration, we will solve it using given information.

Q: Solve the IVP. y" + 2y + 5y = 3 sin 2x y(0) = 1, y'(0) = 0

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Q: 2. Find the horizontal asymptotes of the following functions. √9r²+1+2x+1 (a) f(x). 4x +3

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Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: S [= sinºxcos³xdx is equal to 16″ 105 2 63 2π 63 Evaluate: A B C D E 16 105 None

A: SOLUTION-

Q: Evaluate the following integrals / limit/s: 1. S√16-x²dx dz S. 2. √x²+2x

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Q: Supposem and n are constants and m #n. Evaluate sin(mx) cos(nx) dx² 1 A -sin(m-n)x+ -sin(m+n)x +n)x]…

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Q: 4. y = 4x², x = 0, y = 16; about y = 16

A: Volume = ∫ πy2dx here y = 16 -4x2 and limit from x 0 to 2

Q: . In/du/u if u>0, then the result is O . In [lul+c] O Inu+c O In(u)+c O In [(-u)+c]…

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Q: S²- 16-x2 A 2 B) 8 0 None 4 E dx is equal to

A: I am attaching image so that you understand each and every step. Option "C" is correct answer.

Q: 33x хе x³e³x dx S

A: This question is based on integral by parts.

Q: (D² + 4)y= 4 cot 2x

A:

Q: QUESTION 15 Find the area bounded by the curve y = 16 4 square units 16 square units 10 square units…

A: