Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. y = √√x, x = 0, y = 3

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A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: 4. n=1 ne-n

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Q: Consider the indefinite integral Then the integrand has partial fractions decomposition a b cx + d…

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Q: Suppose that we're setting up a wireless data network for a small municipality. The local ISP wants…

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Q: 4. Find the derivative of the following functions: a. y = x² sin x b. y = ex cos x 3 c. y = (x² + 1)…

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,

Q: Find the derivative of the function. y = 7x-6 8x+3

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Q: 1. The general solution of the system [x' = y, y' is given by x(t) = C₁ cost + C₂ sint, y(t) = C₁…

A: x'= y..........(1)y'= -x.........(2)

Q: Evaluate the integral: 16 √ 2² √² + 64 0x = (A) Which trig substitution is correct for this…

A: We have to evaluate the integral using trigonometric substitution.

Q: a) x2+5x-14 x²+8x+7 + x²-4x+4 3x²-6x

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Q: Use the following function and its graph to answer (a) through (d) below. et f(x) = 6-x, x4. 2 .…

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Q: 6. A particle moving with the velocity function v(t) = t²-3t+2,0 ≤ t ≤ 4. Find (i) the net distance…

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Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…

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

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Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above and…

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Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 4zi +…

A: We have to find the flux of the curl of the field F using surface integral in Stoke's Theorem.Given…

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Q: Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The…

A: Trigonometric function can be used as parameterization of many curves, this is thanks to the use of…

Q: 61. Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He…

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Q: 20. What value of x will give the maximum efficiency of a screw with a coefficient of x-μx² friction…

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Q: Breathing is cyclic and a full respiratory cycle from the beginning of inhalation (t =0) to the end…

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Q: Consider the region below f(x) = (6-x), above the x-axis, and between x = 0 and x = 6. Let x; be the…

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Q: Solve the matrix equation for the unknown matrix X, or explain why no solution exists 19. 1/5(X+D)=…

A: (1/5)(X+D)=C Multiplying both sides by 5, (X+D)=5CSubtracting matrix D from both sides, X+D-D =5C -D…

Q: 8. p-series below: (a) n=1 Use this fact to find the sum of each series below. (You may express your…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Betty's Bathtub company produces two types of tubs: the Jazzy Jets model and the Double Dip model.…

A: We have to find the price of Jazzy Jets model and Double Dip model.

Q: Suppose the cost to make a widgets is given by C(x) = 2x² + 4x + 2. Find the marginal cost function…

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Q: (3, 7/7). 2 Plot the point whose polar coordinates are (3,

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Q: Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is…

A: Suppose  is a function with continuous derivatives, and that .To find the Taylor polynomial of…

Q: Find the arc length for the curve c(t) = (t³ + 1, t² – 3) over the interval 0 ≤ t ≤ 1.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: The system of differential equations : has the solution Y = C₁ et V₁ + C₂ ezt V₂ + C3 e¹³ V3 where…

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Q: 8. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval [0, π/2], are…

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Q: Problem #4: Beginning now at time t = 0 in years, the number of mice in a population of mice is…

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Q: 6. Σ. 1 n=1 1 ηγη2 +1 n

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Sketch the graph of the quadratic function. f(x) = x² — 20x – 800 - -

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Q: 2. Show that the series converges by the Alternating Series Test (two conditions). Then find how…

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Q: 4. Evaluate the integrals. a. b. C. Lou + 3 du +3 6². v³ +3v4 v² √2/43 -dv π/4 3 +7 (cos (0))² (cos…

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Q: Given the hyperbola: 2²-2²2² 1 9 4 = (a) Graph the hyperbola and label the coordinates of the…

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Q: Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function.…

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Q: f 9 csc (2) sec (2) dx Evaluate the integral above by taking the derivative of each answer choice to…

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Q: Evaluate the given definite integral. 3 [(-8 -4 (-8z - 7)dz =

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Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y₂ = −4y₁ + 1y2 where y₁ (0)= 4, y2…

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A: The baseball field is located 2 blocks west of street B and 28 blocks north of street A.

Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

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