8x2 + 8x + 2 dx (4x² + 1)

Q: 6х2-17х+25 10. S: (х-1)(х-2)(х-3)

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Q: Prove or disprove formally and precisely that the product of two consecutive integers is always cven...

A: We have to prove that product of 2 consecutive integer is always a even number.

Q: 1 dx x(ln x)² 32. le

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

Q: dy = 6x– 2x + 1 cos y + eY %D dx

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Q: Calculate the double integral of f(x, y) = x over the region D in the figure. Assume that a = 2, b =...

A: Given problem:-

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: dx 5. f xV16– 9x2

A: Given,           ∫dxx16-9x2To find : Integrate using trigonometric substitution.

Q: sin-"(ry) = cos-'(x – y)

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Q: 5. Evaluate the integral JI. dA, R = [-2, 4] × [1, 3]. R

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Q: The graph of a function f that satisfies the hypothesis of the Mean Value Theorem is shown. a) The v...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: You decide to begin selling light sabers at the local fair. Your cost for each light saber is $1.03 ...

A: Given query is to find find the cost function, revenue function and unit required to be sold to make...

Q: Use any method to determine whether the series converge. 5 (a) E k=l Vk +1 This series cos () (b) > ...

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Q: 14. Evaluate the given integral by converting to polar coordinates x dA R = {(r, y) : 0 <x < 1/v2 an...

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Q: Suppose that {a,} is a monotone sequence such that an 14 or increases - in this case we can't say w...

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Q: In cos (x - c1) + c2 y = In cos x +cj + c2

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Q: (x – e1)? + (y – c2)? = 1

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Q: 7. Evaluate the integral r8-2x (x + y + 1)-2 dydr.

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Q: 2. Find the area of the region enclosed by y = 3.5x and z 9-y. %3D 2- 1- 1234 5 6 7 8 9 -1 of Use ho...

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Q: 8. Evaluate the integral 2y dA where R is the region between the curves y = x2 and y = x(1 – x).

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: 9. dx 1+ ex A - In le *|+ C C - In le x +1 + C %3 In leI+ C B D Inle x+11+ C x- O D O E None

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Q: 5 sin(50) sin(0) dê

A: ∫5sin(5θ)sin(θ)dθApply product to sum formulasin(x)sin(y)=12(cos(y-x)-cos(y+x))=∫-cos(6θ)-cos(4θ)2dθ...

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Solution )

Q: A. Determine the indicated derivative for each of the following functions. x3 cos y 1. Find fxzy for...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: 2x + 10 dx x² (x – 4) Evaluate

A: I = 2∫(x+5)x2(x-4) dxperforming partial factorization;(x+5)x2(x-4)=Ax+Bx2+C(x-4) (x+5) =A x(x-4)+B(x...

Q: r430 sin x 160 cos2 x(16-sec² x)

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: |X - 2 if x 0 (a) lim f(x); (b) lim f(x); (c) lim f(x) X0 X0*

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Q: Use the method of Frobenius to solve the given equations. a) 2x?y" – xy' + (x² + 1)y = 0 b) 2x?y" + ...

A: Since the solutions of the given equations are very lengthy in Frobenius Method , i gave the solutio...

Q: Solution of ODE: Find the solution for the following ODE y" +(y)° +1 = 0 O y = In cos( - c1) + c2 y ...

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

Q: Approximate values of f(x, y) at sample points on a grid are given in the figure. Estimate , f(x, y)...

A: The given problem is solved below in detail.

Q: 1. The volume of a growing spherical cell is V = Tr², where the radius r is mea- sured in micrometer...

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Q: Зх — у %3D 2 x + 2y = 10 x = 2, y = 4

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Suppose the demand for a certain brand of a product is given by D(p) = + 250, where p is the price i...

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Q: Which of the following series are alternating series? (Hint: It may be helpful to calculate the firs...

A: Let's find. 

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: 1800 + 500, where q represents the demand for the product, find the marginal revenue when the demand...

A: To find out the marginal revenue. 

Q: Write the formula for the derivative of the function. f(x) = 11x4 + 15x3 + 9

A: Given query is to find the derivative of the function.

Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

A: P=2r+r(thetha) 

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: To determine that series converges or diverges.

Q: (3y- 2 )cy y´+2y+17

A: We have to evaluate value of given indefinite Integration.

Q: 3. [xsechtr'dx 5. (secht2tdt

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = x2 - 1 - In...

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Q: Evaluate the Integral |4sin²0+4 sin 0 5. S de tan²0+1 ANSWER: 5. - [(2 sin 0 + 1)V4sin²0 + 4 sin 0 –...

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Q: Watch the completing the square review videoe before answering the following question. When you comp...

A: The given expression is: x2-3x+1   As we know from the algebra; a+b2=a2+2ab+b2a-b2=a2-2ab+b2

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. ^2 cy? yz dx dz dy DNE -90 J-60

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Q: (x² + 1 if x -1 i. (-∞,–1) ii. (-∞,–1] iii. (-1,0) iv. [-1,0) v. [-1,0]

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given:   The area between the curves 2y=4x, y=4, 2y+2x=6 is       A=∫abfx-gxdx Isolate for 2y=4x    ...

Q: d. P = 4x1 – 2x2, Q = 2x1 + 6x2; D is the interior of the ellipse: x1 = 2 cos 0, x2 = sin 0, θε [-π,...

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Q: Solve for B in the given partial fraction: a4-15a-32a2-12z-14 (z+1)(-2)(x+3)(+2) + + + (CE November ...

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