Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x = 7 x = y*, x = 1;

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Q: Consider the differential equation xy" + 3xy' - 3y = 3x - 2x. (a) Verify that yi = x and y2 = x…

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Q: Determine the area of the gtven reglon. y = x + sin x Step 1 Note that for the given reglon, x…

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Q: mental Theorem of Calculus to fin

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Q: Consider the function f(t) = 6 sec (t) – 6t°. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Evaluate the definite integral by the limit definition. Step 1 To find the definite integral 9 dy by…

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Q: Find the equation of the circle shown Ih

A: Three point  ( 0 , 4 ) , ( 0 , 2 ) and ( -2 , 0 )   equation of circle   From the graph  center ( h…

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) 2x4 + 30x3 lim x→+o…

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Q: sid problem: |-Int in 200 =lin %3D

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Q: Solve the trigonometric equations. (a) 2cos (x) = V3 in [0, 2n) (b) tan(x)–1 = 0 in [0, 2n) (c) V2…

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Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters) dr

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Q: Evaluate the double integral SR Sf(r, 0) dA, and sketch the region 5. S V9 – r² dr d0

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Q: +, ×

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Q: Consider the following equations. y f(y) V 25 - g(y) = 0 y = 2 Sketch the region bounded by the…

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Q: Find f' (x), if f (x) = 3Vx + 2Vx – 11 %3D

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Q: Calculus Question

A: Given query is to find the number of truck required.

Q: Find the limit. Show all work. Vx +5 -3 1. lim- 2x? –x-3 COSX 2. lim X--1 3. lim x-/2 Cotx X4 X- 4…

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Q: 1. Find particular solution of the following differential equation: dy 15- + 2r-3 dr - 3x-2 =0…

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Q: ider the function f(x) = 3 – 72² on the interval [- 6, 7]. Find the average or mean slope of th cion…

A: We wil use the mean value theorem.

Q: Use the integral test to determine whether the series converges. Σ 4n - 1 n=1 converges diverges

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Q: Consider the two series: 6n (a) 5n + 39 n=1 1 (b) n2 In n n=1 Which of the following statements is…

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Q: Find the Maclaurin series for the given function f(x) = e-6x

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Q: 9. Sunshine Airlines is flying from Shelbyville to Longfield on a course of 290° for 67 km. It then…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Write the equation of the function graphed below.

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Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: Find the area of the reglon bounded by the graphs of the equations. y = -x+ Bx, y = 0

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Q: c). Using an integrating factor solve the equation dy + 2y/x = x dx

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Q: 6. Let 4-x? < f(x)< 4 + x². Use the sandwich theorem to determine the limf(x). Show all work!

A: Use sandwich theorem

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A: To evaluate the value of given integral.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 fe) = [, (; - )". dt…

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Q: Determine the resulting vector when a = (6, –4) is rotated 60° clockwise and increased in size by a…

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Q: . Find the point(s) on the graph of the curve f(x)= x 3 /3 +3x+4/x the tangent is horizontal

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Q: Step 1 To evaluate the sum Si, the following property of summation can be used to find the sum. Σ Σ…

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Q: Determine the convergence or divergence of the series. n = 8 converges diverges

A: Given query is to find series converges or diverges.

Q: 21. Determine the value of k so that i = [- 5,k, 3] and i = [1,2, – 7] are orthogonal.

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Q: Find the center of mass for the following masses along the x-axis (distances are in cm): 42g at…

A: Center of mass = sumation of mi xi / summation of mi

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Q: For what value(s) does the graph of y=3x5 + 10x4 have an infliction? A. 0 and -2 B. -8/3 only C.…

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: The region bounded by the curve y= x² and the line y=3x is revolved about c) the line x=-3 b) y-axis…

A: This is a problem related to volume calculation by solid revolution. Based on the general formula…

Q: Find the area bounded by tHe curves y=8x-x and y= 3x

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Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: Note that, the revenue is given by: R(p)=q×p where q is the demand function. So,…