Use sine and cosine to parametrize the intersection of the cylinders x + y = 81 and x? + z? = 81.

Q: Find the solution. y'- ty = ty" y-2-

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Q: cos

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Shown is the graph of a force function (in newtons) that increases to its maximum value and then…

A: Given query is to find the work.

Q: Solve the given item below and write the answer on a separate sheet of paper. Find the second…

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Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: Suppose that the graph below is the graph of f'(x), the derivative of f(x). Find the open intervals…

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Q: Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e. (a) Verify that yp = -3x + 2e*…

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Q: 2. Solve the equation 2 + 34-5x = 10 in terms of logarithms and then use a calculator to find…

A: We will use logarithms to solve this question.

Q: d. The curves y=x-4, y-8-2x.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 |sin xdx ーπ 3 sin xdx 5 S sin xdx

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Q: Find u - v, 2(u + 3v), and 2v - u. u = (4, 0, -8, 6), v= (0, 2, 6, 4) (a) u - v - (b) 2(u + 3v) (c)…

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Q: Need to show workings

A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: [x² sin 3xdx

A: By Parts Method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx∫v(x)dx ∫sin3xdx=-cos3x3∫cos3xdx=sin3x3

Q: f (x,y) = x^2y - 2x^2 -4y^2 +66. Find all critical points of f. For each critical point, determine…

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Q: COLUMN A COLUMN B 1. S(E-0) dx =- 4 In|x| + C A. 4x 3D B. 4* S) dx = 6V7 + c S(3vx + dx = D(x + 3) +…

A: Solution

Q: Derive the normalized equations for y aex

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Q: Write a definite integral that ylelds the area of the reglon. (Do not evaluate the integral.) g(v) =…

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Q: 3. 9x -dx (x² +7)

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Under certain​ conditions, the number of bacteria present in a colony is approximated by…

A: Given, f(t) is the number of bacteria present at time t in minutes. f(t)=(A0)e0.022t A0= 2100000…

Q: Let E be the region bounded above by z? + y² + z² = 10² , within z? + y? = 4° , below by the r®…

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Q: 2. Test continuity at x = 0 and x = 3 for the function (3 + 2x; - 3 3

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Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v…

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Q: 3. Determine if the given function is continuous on the given point and intervals 1 x<0 f(x) = Osx<5…

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Q: jasi 68 xsin 5xcos 3xdx

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Q: Current Attempt in Progress World annual natural gas production, N, in billion cubic meters, is…

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Q: Consider the function y = x + 2x + 8. Using the values x = 5 and Ax = 0.5, calculate A y - dy. Round…

A: Given : y = x2 + 2x + 8 x = 5 and ∆x = 0.5 Calculate ∆y - dy ∆y = f(x + ∆x) - f(x) ∆y = f(5 + 0.5) -…

Q: Question

A: We will find the time taken.

Q: Sxcos.xdx 16 [xcos xdx 2 18 frcos xdx 14

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Q: Find the first and second derivative of f(x) = ln(x)/rootX

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Q: Find the area of the region bounded by the graph of f(x) = Jx, the y-axis, and the tangent line to…

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Q: Solve the given item below. Write your answer on a separate sheet of paper. A vertical liquid…

A: Volume of cone(V)=13πr2hr8=h22⇒r=4h11Substitute in the volume formulaV=13π×(4h11)2×h   V =16363πh3

Q: 4y" – 25y = 0

A: Given differential equation, 4y''-25y=0 So, (4D²-25)y=0 , [Let D=d/dx] So, D²= 25/4      [ since…

Q: An equation of a parabola is given. x^2 = 4y Sketch a graph of the parabola and its directrix.

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Q: Use the initiator and generator shown to produce the next two stages and attach your answer.…

A: In order to proceed to next two stages we need to get the logic behind the initiator and generator.

Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x' by the line…

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Q: Solve each equation. 0. -5 -5 1) -1 %3=

A: Here we have to solve, -504-1Z=-55

Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into…

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Q: Find f. f"(x) = 8 + 6x + 24x², f(0) = 5, f(1) = 15 f(x)

A: Find your answer below

Q: Find f. f"(x) = x-2, x> 0, f(1) = 0, f(6) = 0 f(x) =

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Q: Find the area of the shaded region. f(x) = x – 8x° + 21x, g(x) = 20x + 50 3

A: Intersection…

Q: Write the given system without the use of matrices. 1 -1 9. 1 3 d 3 -7 1 y + 2 -1 t dt -2 dx dt dy…

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Q: 12 Estimate the integral x°dx using a left-hand sum and right-hand sum with n = 4 subdivisions.…

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Q: ду = cos X Əx əx². əx5 +

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Q: Use l'Hôpital's Rule to find the limit. x11X lim x→0 11* – 1

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Q: Sonya and Isaac are in motorboats located at the center of a lake. At time t = 0, Sonya begins…

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Q: 1. Find the area between y=x and y=x' from r%3-1 to x%-D1.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the integral (o (b+1)x*2 +(c+1))(x*** +(-1)"(a+2)) dx . b+2c+1 Vx°

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Q: Test the series below for convergence using the Ratio Test. 57 n! n=1 The limit of the ratio test…

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Q: A circular swimming pool has a diameter of 20 ft, the sides are 5 ft high, and the depth of the…

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