dx The integral (244) ² + A = cos²0 de B - sec ³0 de Ⓒ+√x³0 de Ⓒ÷-sin²0 D sin ²0 de can be transformed to which of the following when trigonometric substitution is used?

Q: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

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Q: a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of…

A: As per the guidelines we can solve 3 parts only

Q: Solve the following differential equations: 2 √1-y² (a) - dx + y sin 2x -dy = 0 cos 4x+1

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Q: Use Cramer's rule to solve the systems in Problems 21-32. 21. 3x + 4y = 2 5x + 7y = 1 22. 5x + 8y =…

A: 22. The given equation is: 5x+8y=38x+13y=5 To use the Cramer's rule to solve the system of…

Q: ormulas to compute the following antiderivative. x-1 x² -dx.

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Q: PRECISE DEFINITION OF LIMITS Video Example: Use the precise definition to show that limx→2(x² + 3x)…

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Q: line l: x = = and point P(1,0,1). ● Find the set of parametric equations of the line parallel to…

A: Both questions are solved.

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

A: Solution is here

Q: Given the vector function r(t) = (+1, 1-2t², 8t-4), find the are length of this curve on the…

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Q: 1. Write the polar form of the following complex number Z = 3

A: We know that polar form of complex number z=x+iy is z=r(cosθ+isinθ) Where r=x2+y2θ=tan-1(yx)

Q: S- x² + seco tan de sece - 1 sec²0 de 1+tano sine de 1 + cose cose dᎾ 1 - sino The integral [se S I…

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Q: To evaluate O fx²cos x²cosx dx' use integration by parts. What is the expression after the second…

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Q: Find_f'(x) 16. f(x) = sec² x - tan² x

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Q: 22. Suppose that lim f(x) = x, what is the value of lim 5. (f(x))² ? x-3 A. 41 C. 45 B. 43 D. 47 23.…

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Q: A wind is blowing giving the projectile the acceleration of 9m/s2 in the positive direction of the…

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Q: Question 2. Find the limit, if it exists, or show that the limit does not exist. (a) 4xy (2,3)—(0,0)…

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

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Q: Exercises To Solve [No.5] dx 05². of зах (2) x²+2x+5 9x²6x+5 D

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Q: 6. Calculate the sum of the series: -396-308-220-132-... + 836

A: We have to find the sum

Q: A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the cheetah…

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Q: 19

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: 9. Alabama Instruments Company has set up a production line to manufacture a new calculator. The…

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Q: In Problems 7-12, evaluate each given determinant after first simplifying the computation (as in…

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Q: The limit below represents the derivative of some function f(x) at some number a. 4(3 + h)³- - 108…

A: This question can be solved by applying the concept of first principle.

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem

Q: Exercises To Solve [No.5] 2 dx 05² зах (2) x²+2x+5 9x²-6x+5 -11

A: Solution is here

Q: S₁ + Sa cos²0 de 01/2000 sin ²0 de csc ³0 de + Sc 01/se sec ³0 de The integral dx (x²+4)² can be…

A: We have to solve above integral

Q: 37. Evaluate: A. In x + C B. 3. ——2+C x² dx. C. In x D. ). - 17/7/²2

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 27. Which of the following function is continuous at x = 2? 2 2-3x A. f(x): = C. g(x)= = x-2 2-x…

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

Q: Provide all answers to four (4) decimal places. Applying the Gauss-Seidel method in solving the…

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Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (4 × 1) (4x4) (4x 1)…

A: We know that matrix multiplication AB is defined only if number of column of matrix A is equal to…

Q: cos 3x cos 4x dx

A: ∫cos3xcos4xdx here we use formula  2cosxcosy = cos(x+y) +cos(x-y) here x = 4x      y = 3x

Q: 3. Evaluate the following integral by using the polar coordinates. £²₁, [x²=²²* (x² + y²)³¹ dy dx.

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Q: _42. Evaluate: √(√√x - 2)dx 3 A. ++ C x 3 B. - + C x C. 3 +=+ C 2 D. -*²_³+C 2 x 12 Evaluato: ((2x…

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

Q: Use f(x+0.0001)-f(C) 0.0001 f(x)=52²-7x ata = 2, to the nearest tenth. to determine the…

A: Given function f(x)=5x2-7x

Q: 2- Compute 1+i 2-51

A: Given that,      1+i2-5i

Q: Let S be the surface with equation (z - 4)² = 4x² + 4y². Viewing S as a surface of revolution, find…

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Q: Question 1. Let f(x,y) = y²e¹x. (a) Find the linearization L(x, y) of the function f at the point…

A: To find the linearization.

Q: Question 8 x1/2 S dx and using the substitution = x 1/2, the resulting integral takes the form: X-X…

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Q: 7. xdy = (5y + x + 1)dx Ans: y = -x-+cx5

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Q: = Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)…

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Q: Determine the equation of one of the curves for dy/dx = 4x which passes through the point (2, 3).…

A: We need to find a curve for dydx=4x which passes through 2,3.

Q: Identify and sketch the graph of the following SURFACES. x² + y² = sin² z, Z = [0, π]

A: Given.   x^2+y^2=sin^2z

Q: Find all critical points of the function y = e(3 e² (3 – x²). Then, using the second derivative…

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Q: Exercises To Solve [No.5] dx OS (x-1) √X²2X-3 dx 3-2x-x²

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Q: Which of the following is an acceptable answer, when we are asked to evaluate f 5+x² O In sec+tan 0…

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Q: Use the method of elimination to evaluate the determinants

A: Question number 16 has been solved as per the request of the student.     This question can be…

Q: Find the volume of the solid generated when the region ? bounded by the given curves is revolved…

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Q: 1.₂0 +00 1 2. Determine whether the integral da converges or rvin x diverges. If it converges,…

A: We have to find out integral