sin³ (cos(4) dx 2 32 Ⓒcos A COS 35 32 B 35 32 Ⓒ-3 cos (4) C 32 D 3/7/7 C (4)[-5cos (4)+7] 5³ (4) [5sin² (4) + 2] 32 5 cos(4) + C COS 32 X cos (4) +cos³4) + C COS COS

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A:

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A: We have to find the area by right endpoint rule.

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A: Part a,Given,            limx→∞6-7x6x3-2

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A: Our Aim is to find the value of k by evaluating the integral using integrationby parts.∫02 x3 cos…

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A: a) limx→0-f(x)=-∞b)  limx→0+f(x)=2c) limx→0f(x)=Does not existd) f(0)=2

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A: The given function is f(x) = 3x2-1-x+3 We have to find the limit   ,    limx→∞f(x)    and…

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Q: Find each limit, if it exists. (a) 6 - 7x lim x-00 6x³2 (b) 6-7x lim x→∞ 6x-2 6-7x2 (c) lim 6x - 2…

A:

Q: Prove the trigonometric identity: 1-cos(20) sin(20) = tan (0) Start by copying down the just…

A: Please see the answer below.

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A: We have to check convergence of series with the help of ratio test.

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A: Given :  the graph of f '

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A: Please see the answer below.

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Q: lim ²+2x+4 2-1 31²-2+8 LIMIT VALUE: lim 2-0 LIMIT VALUE: lim x-1 LIMIT VALUE: +6-√6 z ²+81-5 3x+7

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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A: Check the amplitude and period of the graph and write the equation.

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A: Solution is here

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A:

Q: Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. 0 2 ਨੀਲੀਆਂ 41…

A: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 7A…

A: Area of the Rectangle =(Length)(width). Perimeter of the Rectangle=2(length+width).

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A:

Q: Using trigonometric substitution, what is 2 A sec-1 (3) - x²-g 6x² ® 1/1 sec - ¹ (1/3) - B x²-9 2x²…

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Q: Given the system of equations 2x-3y9z = 14 x + 3z=-11 -3x + y - 4z = 21 (a) determine whether the…

A: Given problem:- Given the system of equations   2x - 3y - 9z = 14   x+32 =- 11   -3x+ y - 4z = 21…

Q: Find the​ consumers' surplus at a price level of p=​$150 for the​ price-demand equation below.…

A: Recall:  Consumer surplus=∫0x(D(x)-p)dx Given, p=​$150 p=​D(x)=300−0.05x

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Q: ) Encuentra la inversa de la función f(x) = 4x² – 1 3x² = x < 0.

A: The given function is f(x)=4x2-13x2 We first replace f(x) with y. y=4x2-13x2

Q: owin - y" −4y' +4y=0 L".

A: 1)  y''-4y'+4y=0 Auxillary equation is m2-4m+4=0m2-2m-2m+4=0m(m-2)-2(m-2)=0(m-2)2=0 ⇒m=2,2

Q: Let A = -[-32-3] and B = (a) Find AB, A-1, and B-1. AB= 5-3 2-1 A-1 B-1 = (b) Show that (AB)-1 =…

A: a)AB=2-2-235-32-1AB=2(5)-2(2)2(-3)+2-2(5)+3(2)-2(-3)-3AB=10-4-6+2-10+66-3AB=[6-4-43]A-1=1AAdj(A)A-1=…

Q: 1. (a) lim x Find the limit. Use l'Hospital's Rule where appropriate. 3 x + 8 2 x + 2

A: topic - limits a3+b3=(a+b)(a2+b2-ab)

Q: x1

A: answer is in next step

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Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

A: Solve for the f(x)

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A: In partial derivative, while taking the derivative with respect to one variable consider other…

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Q: f(x) = 8x + 2x−¹

A: answer is in next step

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Q: Given the integral [ cot³x csc5x dx. If u = cscx, then the integral can be re - written as: (a). f…

A: We will substitute u=cscx and then calculate the rest.

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A: Solution is here

Q: Solve the optimization problem. F = Minimize F = 11x² + 11y² with xy² = 16.

A: Given problem:- Solve the optimization problem.   Minimize F = 11x2 + 11y2 with xy2 = 16

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A: Solution in step 2

Q: Slove.. -x e lux by BiSection

A: Answer is in below steps.

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Q: Find the area of the shaded region. f(x)=8x+2x²-x³, g(x)=0 The area is (Type an integer or a…

A: Here we have to find the area of shaded region.