Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis y=4x1/2 , y=0.5x, and x=2. Round off only on the final answer expressed in 3 decimal places.

Q: Solve the maxima/minima problem. Show figure. Find the dimensions of the right circular cone of grea...

A: I am attaching image so that you understand each and every step.

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Q: (4x'у — 15х? — у )ӑx +x* +3у? - х)dy-0

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: A closed cylindrical tank of circular cross-section has a radius of 2 ft. and a height of 6 ft. Use ...

A: Radius = 2 ft Height = 6 ft dr = 1 inchdr =112 ftdh = 1 + 1 (top+bottom)dh = 2 inchdh = 212 ft

Q: sinh(2 In(c)) = %3D (A) 을 + 늪 2c (B) c² – (C) 를. -옮 (D) c- (E) 0

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Calculate the volume of a solid enclosed by the following equations z=x2 +1 , x=4, y=9 and the three...

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Q: x + 3x – 1 lim V4r6 – 2x エ→ーx 2.r

A: We have to find limit

Q: The graph of f(x) = 2x + 6x2 – 90x + 21 has two horizontal tangents. What is the negative value of x...

A: Given that the graph of f(x)=2x3+6x2-90x+21-(i) has two horizontaltangents.Our Aim is to tell the po...

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A: Find your answer below 

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x'-5x)* 1. y= d'y/dx'

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Q: A woman standing on a cliff is watching a motor boat as the boat approaches the shoreline directly b...

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Q: e the ratio test to determine whether the series converges or diverges. If the test is inconclusive,...

A: Topic:- series convergence test

Q: 3. Find the equations of normal of the curve y = 2x- x-at (2, 0). Oa. 2x +y = 4 b. 2x - y = 2 C. X- ...

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 10 (x + y) dx - xdy ...

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Q: Find the slope of the tangent line to the curve 4x + 4cy- 4y° 276 at the point (- 1,4).

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Q: Which of the following is equivalent to 24 f /4- da O none of these • 12 f(1 -cos 0) dº O 24 f (1 - ...

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Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with r...

A: Put x=r cosθ  and y=r sin(θ). As x,y→0,0 then r→0+. L'Hospital Rule :Suppose we have          limx→...

Q: dy (x+2)² x² - 4 2y dx'x -4

A: find the solution of given differential equation. dydx+2yx2-4=x+22x2-4

Q: Please help! Find y^’’ by implicit differentiation. a) 5x^2+y^2=4 b) 5x^3+4y^3=1 c) x^2+7y^2=7

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Q: Compute the given integral. sin xdx %3D +C

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Q: Find 02/ay and az az 02/ax of the following function: z = x³ev* + y5 In(2x + y)

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Q: This situation below applies to the next four problems A bacterial colony is cultivated in a petri d...

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Q: If > uk and > v% are convergent series, then > (uk + v%) and 2(uk – Vk) are convergent series and th...

A: First we take partially fraction then we use sum of GP. 

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

A: The given equation is P(x) = -0.001x^2+5x-1875. We have to find maximum value of P(x) ( profit). Cle...

Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

A: Let's find. 

Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and arc...

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Q: d/dx[(1-x²)/(1+x²)] = 4x/(1+x?)? %3D Select one: O True O False d/dx[(3x + 5)(8x - 9)] = 48x + 13 %3...

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Q: 2 ext 5. g(x) = .x+1.

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Q: Given the function g(x,y) : 2.x – y2" (a) Give the equations of the level curves of g at k = -1,0, 1...

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Q: What is the equivalent radian measure for the degree measure? Select True or False for each statemen...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: What is the equivalent degree angle measure for the radian angle measure? Select all correct stateme...

A: As we know that; The angle which in radian can be converted into the degree by formula, θd=180°πθr

Q: Integral

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Q: decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the am...

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Q: d/dx[(x² + 5)(x³ - 7) = 5x4 -15x² + 14x Select one: O True O False 1 + A)xp/p Select one: O True O F...

A: Explanation of the answer is as follows

Q: A SKETCH the graph and DETERMINE the domain and range of the following piecewise function. (2 - x? 1...

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Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: Given: I=∫-∞122x-32dx   We know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx

Q: Consider the parabola given by y = x² + 1. a) Use Lagrange's method to find the point on the parabol...

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Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cos t î + sint ĵ+ k.

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Q: E. Perform the indicated operation given the following function. f(x) = 1– 2x g(x) = -x² + 3x h(x) =...

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit infini...

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Q: Find the area bounded by y = 0.5(x- 2)² – 1 and the X-axis from x-3 to x-5. Show the sketch with are...

A:   y= 0.5(x-2)2-10 =0.5(x-2)2-11 = 0.5 (x-2)22 = (x-2)2x - 2 = ± 2x =2+2    x~ 3.414orx =2-2x ~ 0.586

Q: From the top of the tree, the angle of depression of the top of a cabin is 40° while from the bottom...

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