If the area bounded by the curves y = x + 1, x = 1, x = 2 and y = 0 are revolved about the axis y = 0, find the moment of inertia of the solid formed with respect to the axis of revolution.

Q: Determine whether the alternating series converges. 00 k + 1 9k + 1 k=1 O The series diverges. O The...

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Q: 20. What is the solution of (2x - y)dx + (4x + y – 6) dy = 0? a. (x+y- 3)° = c(2x + y – 4)² b. (x-y+...

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Q: The equation of a circle is given below. Identify the radius and the center. Then graph the circle. ...

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Q: (у? + ту?) da + (5у? — ту + у' sin у) dy 3D 0 Let M be the coefficient of dx and N be the coefficien...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+1 5k k=...

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Q: f the following is ion of a discreet A: Sum of two nu o boxes containir

A: We will find the discrete probability distribution. 

Q: the line y = 8. y-0 x=1 x = 4 Step 1 The distance from the center of the rectangle to the axis of re...

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Q: cos (In4x2) dx

A: Topic:- integration

Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

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Q: Bill owns a lawn-care company in Windermere, Florida, whose cost curves are illustrated in the above...

A: From The Graph : The firm will produce 40 units output. Average Total Cost = 20 Now, Average Total c...

Q: 12 ( In xdx 5 a) Find the smallest K such that | f4) (x)| <K for 5 <x< 12. b) Use the part (a) answe...

A: We have to find smallest valur of k and value of n. 

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

A: Given integral is solved below in detail.

Q: Let H(x) = 5f(x) + 3g(x), where the graphs of f and g are shown in the figure to the right. Find H'(...

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Q: 18. What is the integrating factor of the differential equation y'=cscx-ycotx ? a. tan x c. sinx b. ...

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Q: Determine whether the series converges using the limit comparison test. 6k2 – 2k + 7 Σ 30k6 + k – 30...

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Q: 2. In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number...

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Q: Obtain the differential equation of the family of circle with center on the x-axis ? a. yy" +(y")²-1...

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Q: 14. What is the particular solution of the linear differential equation y' = x° - 2xy; when x = 1, y...

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Q: an annual interest rate of 4.3% per year, compounded semi- annually. How much money will be in the a...

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Q: . Robertson owns a store. His mark-up percentage is 80%. He is also VAT registered, VAT is % of the ...

A: This is a problem of profit and loss. Based on the general formula we will calculate all the three s...

Q: x = 4sin?t Given: a) Identify all values of t that produce a horizontal tangent y = 2 cos t b) Ident...

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Q: Express the repeating decimal as a fraction. 0.789626262626. 0.789626262626... =

A: Find your answer below 

Q: iven a projectile that hits a vertical wall as shown, a) If V, = 120 m/s, 0 = 30°, find the range (R...

A: Find your answer below 

Q: The monthly total cost function for a product is C(X) = 500x + 0.1x + 17,590 dollars, and the monthl...

A: 1.)C(x) =500x+0.1x2+17590R(x) =1000x-0.01x2Break even point⇒ C(x) =R(x)Units = 35 , 4510  

Q: Consider the following. (In(x)) , dx The process of evaluating this integral can be started using in...

A: See the details solution in below

Q: 11. The value of k so that (y³ +kxy – 2x)dx + (3xy? + 20x?y³ )dy = 0is an exact equation is: С. -5 d...

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Q: 250t onsider the population function p(t) = t+1 Find the instantaneous growth rate of the population...

A: Only first three sub-parts is answered as per policy. Please refer to the image below

Q: 4. Sw-2 + 10w-5 - 8 dw

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Determine the values of r for which the differential equation - 16y =0 has solutions of the form y =...

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Q: The solution to (2x – 4y – 3)dy = (x- 2y)dx is:

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Q: A circle has its center at (3, -2) and is tangent to the line 3x + 4y = 26. Compute for the area of ...

A: We will use the formula for the shortest distance between the line and a point.

Q: Given sin(x?y²) + y³ = x + y , using implicit differentiation for partial derivative show dy that dx...

A: Implicit derivative dydx of sinx2y2+y3=x+y

Q: Calculate the following: a) -4 / j^9  and  4 / 2j^13

A: Topic:- complete number 

Q: Draw a direction field for the given differential equation. Based on the direction field, determine ...

A: first we have to put y' = 0 to find the equilibrium solutions of the equation.  then we will get t =...

Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: Our Aim is to evaluate the integral given below:-∫tan-1 (5x) dx -(i)

Q: Problem 5 Find the four points Gaussian quadrature formulae given by Roots, ri Coefficients, Ci 0.86...

A: We want to find integral of the function. 

Q: A certain drug is being administered intravenously to a hospital patient, Fluid containing 1 mg of t...

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Q: 5. Find T, N, and xfor the plane curve r(t) = (t2, sin t –t cost,cost +t sin t); t > 0.

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Classify: The weight of a professional boxer. O Dicreet O Continuous

A: Sollution

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

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Q: differential equation

A: Please refer to the image below

Q: sin(2Tx) lim x → 3 x2 – 9 | O -0.6667 T O 0.6667 T O 0.3333 ↑ О -0.3333 п

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Q: In Problems 25-32, use L'Hôpital 's rule to find the limit. Note that in these problems, neither alg...

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Q: The value of k so that (y³ +kxy* – 2x)dx + (3xy? +20x?y³ )dy = 0is an exact equa is: а. 10 С. -5 b. ...

A: A differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x

Q: 1. The formula for finding the arc length of a curve, given in parametric equations, is as follows A...

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Q: 3. Given r(t) = e' sint i + e' cos t j + vZe*k, a) find the arc length function for the curve measur...

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Q: - x$ tn*(1+3x®) Using the appropriate integration formula to evaluate dx, the du = N. %3D 1+3x

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Q: diverges. I f it conve ges, find the Determine whethe the seauence converges or an=

A: We want find whether the sequence converge or diverge.

Q: diverges. Ifit conveges, find the Determine whethe the seauence converges or 3n an=

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