Find the volume of the solid obtained by rotating the region bounded by y = 3x², x = 1, and y = 0, about the x-axis. V -

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Q: Find the derivative of the function and evaluate the derivative at the given value of a. √√x h(x)=x…

A: The given function is; h(x)=xsqrt(x), a=9.

Q: Find a unit vector u that is normal to the level curve of f(x, y) = 5x²y through P = (x, y) = (1,-4)…

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Q: Match the graph Y 4 2 0 02 4 6 8 10 with the function. 8

A: In this question we have to match the given graph.

Q: Solve for x: = x² 19 = x Round your answer to 10 decimal places. ¤~ Newton's Calculator: (Note:…

A: Let's find root by using Newtown method.

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A: Given line:y=2x+1.It is given that dxdt=4

Q: Find f (0) if f(w) 2- ew 1 + ew

A: Givenn function:- fw=2-ew1+ew

Q: Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: [sin(nt),…

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Q: If the integral ∫4−4∫√16−y2−√16−y2∫√16−x2−y2−√16−x2−y2(x2+y2+z2)dzdxdy was converted into an…

A: To convert in spherical coordinates.

Q: I. Find out whether the following improper integrals are convergent or divergent. If they are…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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Q: Assume that a = 4. Integrate f(x, y) = 5y(x² + y²)³ over D using polar coordinates. (Use symbolic…

A: Correct graph of the region is

Q: Complete the steps below to implicitly take the derivative of the original equation. 6x + 9y = 2 dy…

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Q: If f(x) = 8 tan-¹(6 sin(3x)), f'(x) W

A: Given f(x) = 8tan-16sin(3x)f'(x) = ddx( 8tan-16sin3x

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A: Given query is to find the rate of change of angle.

Q: Suppose F(x, y) = xyi + (x − y)j and C is the triangle from (4,0) to (-4,0) to (0,4) to (4,0). (a)…

A: To find the line integral.

Q: Use the Laplace transform to solve the IVP: y" + 4y +4y=e-2t. y(0) = -2. y'(0)=8

A: NOTE: Refresh your page if you can't see any equations. . take Laplace on both sides

Q: PROBLEM: Fruit flies are situated in a small glass bottle containing a amount of food. Suppose the…

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Q: B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular.

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Find 1.3 2. None of these 3.2 4. 5. 2 | 33 | 2N 3 In ve².

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Q: Rewrite terms of logg (3). logg (9) O 1. logg (3) logg (3) 2. - logg (3) log8 (2) 3. logg (3) logg…

A: Topic = Algebra

Q: 3. DETAILS Evaluate the indefinite integral. (Use C for the constant of integration.) [ (x²+4)²…

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Q: (a) Show that for x ≥ 1, 1 √1+x² 1 > 0. (b) Use part (a) to show that the integral S 1 √1+x²…

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Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A: The given function fx=x2-2x+1. We have to find the critical point of fx.

Q: 10.5 rad 10

A: Topic - Area of sector We are given θ=0.5 radradius=r=10we know thatArea of sector=θ2π×πr2

Q: 7. Differentiate: R(t) = tan(t) + t²tanh(t).

A: To differentiate the following function.Rt=tant+t2 tanht

Q: If a stone is thrown up at 13 meters per second from a height of 190 meters above the surface of the…

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Q: Use the Ratio Test to determine the convergence or divergence of the series. lim n=1 7" an+1 an =…

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Q: B. Using the definitions of limit and/or infinite limit, show that if limn→∞ sn = ∞, then also…

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Q: The entire graph of the function fis given below. Round your answer to the nearest integer, if…

A: given, graph of f(x)

Q: True or False. (SHOW complete proof) 3 1. y² = cx + c³ is a solution to y = 2x dx + y² (dx)³. dx +…

A: Note : As per our Guidelines , we can solve first question . Please repost remaining question .

Q: (a) Find the direction for which the directional derivative of the function f(x, y) = 9xy + 5y2 is a…

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Q: By carefully showing all your steps, differentiate the function f(x) = (tan−¹(x + √√x)) 4

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Q: Find the derivative. f(x) = e² · 3ª f'(x) =

A: Let's find derivative of given function.

Q: Let R be the region bounded by y = x,x=1, and y=0. Use the shell method to find the volume of the…

A: figure:-

Q: A military plane is flying directly toward an air traffic control tower, maintaining an altitude of…

A: Let us assume the whole phenomenon in a right angle triangle.

Q: $ From Selling price by resulted 198. price 2010 2012 2010 30%0. This 30% reduction decrease in Find…

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Q: Consider the function f(x) = 3-6x², -3 ≤ x ≤ 2. The absolute maximum value is and this occurs at x =…

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Q: Use differentials to approximate the quantity. (Round your answer to four decimal places.) √28

A: Given quantity is 283 We need to find its approximate solution using differentials

Q: Consider the double integral L = 1+2²³ + y² dy dz. (a) Sketch the region of integration for the…

A: Let's sketch the graph and evaluate double integral.

Q: if f(x) = ²* (e²-³₁ If (et-3-4t+5) dt then f'(x) = Round your answer to the nearest hundreth if…

A: Topic = Derivative

Q: Consider the following series. Answer the following questions. 1. Find the values of x for which the…

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Q: 1 Στις της + 5 n=1

A: We will find the required convergency and divergency of given series.

Q: Plot and label the points being described and identify the coordinates of the points. C is 7 units…

A: Give that the point C is 7 units below the x-axis and 3 units to the left of the y-axis. We have to…

Q: The graph below is the function f(x) -5-4-3-2 > 2 t 242 + -2 Select all statements below that you…

A: Function is define at x=2 , and it is 4 . Therefore a) f(2) is defined.

Q: Identify the quadrants of the following points. A.)(-4,-9) B.) 3 units above the x-axis and 6 units…

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Q: Find the derivative of the function y=x^2e^-3x

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Q: Explain how you know that the exponential function has an inverse. Knowing the properties of the…

A: Let's check property of given function.

Q: Suppose you have a triangle whose height is 10 times its width. If the base of this triangle has a…

A: We need to find area.

Q: D Question 38 Let A = 03 O-11 O 11 O-3 [23 3 2 -17 4 13 1 Find C32.

A: