The area bounded I led by y=3x and 2y=3x is revolved about the y-axis. Using circular ring method, set up the integral for the volume of the solid generated. -7- 5. -3- -2- 1- -2 dy

Q: y = xx, x-4, and y =0 Revolve the area of the shaded region about the line x- 4. Using circular disk…

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Q: Evaluate the definite integral. Use a graphing utility to verify yourr result. (sin(x) – 3) dx Step…

A: To evaluate the given difinite integral. By using a graphing utility to verify your result.∫0πsinx-3…

Q: 71 dt Find F (x) and F (-2). 14. Consider F(x) .Co 1+t5 EGO

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Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: and y=x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the solid…

A: Given :-region bounded by y=x2  ,  y=x+2revolving about the x-axisusing washer/disk…

Q: Suppose we want to evaluate the following indefinite integral -53z? + 98z +172 dr (z – 2){(7z + 12)…

A: Solving

Q: Use the chain rule to find the derivative of: cos(7 + 8x)

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Q: Identify whether the given is a discrete or continuous variable. 1.The number of arrivals in an…

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Q: 3n° + 2n³ - 7 {a,}== 7n' + 3п +4

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Q: Setup the iterated integral using the order dydx and dxdy. Sketch R. // (Va+ e") dA where R= {(x, y)…

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Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 6x, y = 0

A: Solution 1.  Given y=-x²+6x  And y=0 Now intersection point -x²+6x=0 X(6-x)=0 X=0 and x=6 Points…

Q: Select the correct answer. For which pair of matrices is s A B#BA, OA. A=[}2] B = A = 2 B= A = 2 B=…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: Solution: Given data, h(x,y)=x3-3x+3xy2

Q: 1. Find a power series representation of In(1+x²) and determine the radius of convergence. Eind the…

A: 1.

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

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Q: 1 dx X +x13

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 5 sec2 x dx -T/6

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Q: ea da (ea + 1)Ve2a + 2eª

A: Given

Q: NOTE: Enter your answer in terms of i, j, and k. r(11):

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Q: Suppose we are given the data in the table about the functions f and g and с. their derivatives.…

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Q: 3. Find the binomial series for (1+x)

A: On demand Question third is answer

Q: dy a) If all of y = 4n2 + 5n + 1,x 3n + 2 find dx b) if yx2+Vx + xy? = 1 prove that = -at (1,-1)

A: Please see the answer below.

Q: 6x² +19x+13 2x +5 5.

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Q: Find the roots Lzerel of eah tunction and State tHhe multipicty of any veputed root - 니 2x

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Q: 2. If y = find the differential dy. Hence, estimate the value of 1 + (1.023 1 +

A: topic- differentials

Q: SxV9-2x2 dx god Find .000.8S

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Taylor series for f(x) centered at x=a :     f(x) = ∑n=0∞ fn(a)n!(x-a)n

Q: 21. A rectangle is drawn in the first quadrant so that its base is on the x axis and its left side…

A: Derivative application

Q: State where the power series is centered. (-1)"(2n – 1) „n Σ * 2"n! n = 1

A: Solving

Q: 1. Find the most general antiderivative of the function f(x)D + sin(4- r) +7e

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Q: 1 Σ 'n² +1 ln + 30 1 4 + 9 27 81 243 729 8 16 9

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Q: 12 (25x – 46x' + 3)dx J-12

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Q: 7 For AABC, you are given m2C = 39°, mZB = 44°, a = 30ст. Find c. 17.9 cm 16 cm 19 cm 22 сm Previous

A: We will find the c.

Q: 10. Find the area bounded by 2. Hhe curves y=8x-x²0ind y=3x

A: topic - area bounded by curves

Q: Find the minimum speed of a particle with trajectory c(t) = (t3 – 4t, t2 + 1) for t > 0. Hint: it is…

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Q: Evaluate the defınite integral. i+e"j+t k)dt O el2 12-( - 1) + O el2 – 1 i+ (e-' – 1) j + k el2 – 1…

A: ∫01e12ti + e-t j + t kdt=e12t12i -e-t j + t22 k01=e12112i -e-1 j + 122 k-e12012i -e-0 j + 022…

Q: Evaluate the following definite integral.  4

A: topic- definite integral

Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: dy (1- y)

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Q: y 4 (2, 4) y = 2x ソニx? Using a vertical element of area, the area of the shaded region is given by…

A: The objective of the question is evaluate area bounded by the given function and use the vertical…

Q: Find V × (V × F) if F(x, y, z) = 5xyj+ 10xyz k. V × (V × F)

A: As we know that; If F→=F1i+F2j+F3k then ∇×F=ijk∂∂x∂∂y∂∂zF1F2F3 Given: Fx,y,z=5xy j+10xyz k

Q: integral

A: We will solve the definite integral.

Q: Use the chain rule to find the derivative of 3(– 82° – 2=")" - You do not need to expand out your…

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Q: 7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x –…

A: Marginal cost =C'(x)  To maximize or minimize use double deriveative test

Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

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Q: If x= tane , then dr = coso de . (1+x?)½ A True B) False

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Q: Find the direction angle of v for the following Vel v = - 6i- 3j What is the direction angle of v?

A: On solving this we will get

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Let's find.

Q: V100-1000 lim y-10

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Q: system which is represented by the given equation below, is able to work effectively ven when the…

A: Given, f(x) = 7x ^ 3 - 0.31x ^ 2 + 8x - cos(x).