Find the centroid of the solid generated by revolving the region about the indicated axis the area bounded by the given curves. 1. y² = x, y = 3, x = 0; about the y-axis

Q: Solve eX = 6 for x. The solution is x2 (Round to four decimal places.)

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Q: 2. Find the radius of convergence and interval of convergence of the series. (a) (-1)--1 (" – 5)*+1…

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Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: Find the gradient of the function at the given point. f(r, y) = 3x+52 +1, (2, 1) %3D O 3i+10 O 3i+5j…

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Q: Find the domain and range

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Q: E Homework: Section 4.7 Use the given zero to find the remaining zeros of the function. h(x) = x -…

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Q: 11m Convert to its degree measure. 6.

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Q: Let the region R be the area enclosed the function f (x) = x2 + 1, the horizontal line y = 6, and…

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Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

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Q: Convert - 240° to its radian measure.

A: Given  240°

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A: Maximize slope

Q: You fianested $10o00 pt 32 pinterest fer year, fomfounded Seanic prnuallye Aftea'Houwmosnig years…

A: topic - compound interest

Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: 9/ Evaluate (cos* 0 – sin* 0)de T/12

A: Note that: cos4θ-sin4θ=(cos2θ-sin2θ)(cos2θ+sin2θ)=(cos 2θ)(1)=cos 2θ

Q: Determine whether (-±) is part of the unit circle or not.

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Q: Find the general solution for the following equation: y''' + 3y'' – 4y' – 12y = 0

A: Solve the differential equation by assuming eλx for some constant λ.

Q: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

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Q: 'ind the exact length of the curve x = t sint y = t cos t or 0<t< 1. ou may use the following result…

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Q: Given the graph of the function below. Find the limit of the functic approaches 3.* (3, 4) (0,3)…

A: Given query is to find indicated limit.

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: nsider the following. u = (-9, -3, -7), v = (-4, –5, –1) (a) Find the projection of u onto v. 58 42…

A: Given : u=&lt;-9,-3,-7&gt; and v=&lt;-4,-5,-1&gt;.

Q: 41m Illustrate and find the largest negative coterminal angle of 6.

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Q: 3dt 1. (2t+8) Vt+1

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Q: Find the limit. lim Vr+3

A: Question 1,Given,            limx→6x+3

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Q: A rancher wants to fence in a rectangular area of 18000 square feet in a field and then divide the…

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Q: 70 11 odometer. To find out how long this road is, you record the car's velocity at 10-second…

A: To find the length of the road, given velocity

Q: Solve the system of linear equations using Gauss-Jordan Elimination and Reduced Row Echelon Form…

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Q: a) Find the degree 3 Taylor polynomial T3 (2) for the function f(x) = 4 cos(r) centered at the point…

A: The function f(x)=4cos(x) centered at the point a=π4

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After 60 minutes,…

A: We will find the number of strands of the bacteria originally in the culture as following. After 60…

Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

Q: uantity of cookies sold when the price per cookie, in cents, is x. Use this information to answer…

A: Since we are given with the multiple number subpart answered according to the guidelines

Q: Let a = (– 9, – 4, 1) and 6 = (10, 4, 5). Compute the projection of a onto b and the vector…

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Q: Find, correct to three decimal places, the point on the curve y 9 In x + eX at which the tangent…

A: Find your answer below

Q: y = 5x – 6 tan x, concave upward concave downward

A: Given problem:- y=5x-6tan(x) , (-π/2, π/2)  Determine the open intervals on which the graph is…

Q: Consider the parametric equations below. x = 5t - 4, y = 4t + 2 (a) Sketch the curve by using the…

A: Consider the parametric equation  x=5t-4,  y=4t+2

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: We have to find the increase of area

Q: (a) How far is the boat from the marina? Round the answer to one decimal place if necessary. (b)…

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Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x-5. Answer.

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Q: Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O…

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Q: Find the volume of the region lying above the cone o = and below the sphere p = 7. (Use symbolic…

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Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 + 2.

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Q: ds For the following function find the antiderivative s that satisfies the given condition. dt ds =…

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Q: Graph the equation below. Choose the correct graph. y = 5.5* OA. O B. OC. OD.

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Q: 1. Evaluate the integral 2 dx x2 +4x + 20

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Q: Choose the correct speed and direction of a plane with a velocity of (-5,12) . 13,293° 17,113°…

A: Find your answer below

Q: Consider the function y = 5cos(x). What are the exact values of C in the interval [0, 2pi] such that…

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Q: dx The integral of the given function S is xVx2-9 a. -Arcsin+ C 3 3 b.- Arctan+ C 3 3 1 с. 3 -…

A: Given query is to find the integral.