Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the x-axis. y = 1-x -1 Y2 5

Q: sketch the region R of integration and In Exercises switch the order of integration. 48. 50. LS,…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Please see attached and : Find the domain and range of g. (Enter your answers using interval…

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Q: Using the squeeze theorem, evaluate: lim v2 + cos(v) v--> -∞ 5 + v -…

A: Apply squeeze theorem to evalute  limv→-∞v2+cosv5+v-2v2

Q: 4.2.1 4.2.2 x-x²+3x²-10x+8 x²-x²-4 [sec²()dx. dx.

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

Q: Question 15 Given the function y=√√ 1-3x . Find f '(0) . {Note: Give answer in fraction, if…

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Q: Determine which value best approximates the volume of the solid generated by revolving the region…

A: Determine which value best approximates the volume of the solid generated by revolving the region…

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Q: The non-zero value of n for which the differential equation (3xy² + n²x²y) dx + (nx³ + 3x²y)dy = 0…

A: Given : Diffierential equation :3xy2+n2x2ydx + nx3+3x2ydy=0   To Find : Non-Zero value of n so…

Q: 2. Let f(x, y) = 2xy 3x+2y

A: f(x,y)=2xy3x+2y

Q: 1. A particle moves horizontally according to the law s = t³-t²- 24t + 1. (a) Where is the particle…

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Q: A B Which of the following is an integrating factor for ydx-xdy = 0 ? X

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Q: Find the transform of the given function by use of a table. f(t) = 4t³e²t

A: laplace transform of the function f(t)= 4t3e2t

Q: large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

A: we will  find the required.

Q: In Exercises the region. , use an iterated integral to find the area of 36. y 3- 2 (1,3) (2,3) (1,…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: (11 points) Use the given graph of the function g to find the following limits: 1. lim g(x) = x-2-…

A: 1. limx→2-g(x)=2     2.limx→2+g(x)=-1

Q: If the distance between (-4, 3) and (−4, a) is 4 units, find all possible values of a. (Enter your…

A: Let's find possible values of a.

Q: f(3x² − 4x+6) dx ; y = 10 if x = 1. Solve for the constant of integration. Given

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 14. Find the value of the constants (a, b, or c) that makes the following functions continuous: if x…

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Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

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Q: First, convert the equation into polar coordinates then sketch a graph of the rectangular equation.…

A: Consider the given equation. x2+y2+x22=16x2+y2

Q: (A) (В) Ⓒ du Which of the following is the general solution of www.dx u² + 2x² = C xu² +u = C…

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Q: Find Duf at P. 2 2. 4 f(x, y, z) = 6x¹y³z¹; P(1, −2, 2); u = - i + 3¹ - k Duf Mi

A: Topic:- application of derivatives

Q: x) = C 5x² tan r sec x find

A: We have to derivative of given function

Q: Find the transform of the given function by use of a table. f(t) = 5e-5t - 2e-2t A B C D E F (s) =…

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Q: Calculate the average rate of change of f(x)=√√x+5 on the interval [ -4,4].

A: The given function fx=x+5 on the interval -4,4 We have to find the average rate of change on the…

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Q: The function C gives the cost, in dollars, to produce a particular product, where C (x) is the cost,…

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Q: S 0 ecos sin 20 de

A: Topic - Definite integral we are given ∫0πecos θsin 2θ dθand we know that∫exdx=ex+Cand integration…

Q: Find the total area between the x-axis and the curve f(x)= = x = 1 and x = 9. O a.) (10ln5-5ln9)…

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Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations.…

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Q: <--10 -11 V(2) The graph above describes the velocity of a particle measured in feet per second.…

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Q: (a) (b) (c) dy (2x-5)² = dx y dy=3x²(y-1) dx dy_y+2 = dx x+1

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find a non-zero 2 x 2 matrix such that -2 7 -35 10 ][= =] = [88]

A: Let a matrix ab cd such that 7-2  -3510ab cd=00  00

Q: Which of the following is the general solution of xln x + y = ln x² ? dx y = lnx + C y = ln x + In x…

A: Option "B" is correct

Q: For the following set of variables, find all the relevant second derivatives. In all cases, find…

A: This question can be solved using the concept of partial derivatives To solve this problem we will…

Q: A rock thrown vertically upward from the surface of the moon at a velocity of s = 16t -0.8t² meters…

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Q: (a) f2x(x+3)¹0 dx (b) So I sin z I cos z-sin z -dr

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Q: ) 3.14 3.19 3.23 π dT Consider the differential equation x + T = e* with T(0) = 1. What is the…

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Q: Consider the helix r(t) = (cos(-2t), sin(-2t), -4t). Compute, at t = 7: A. The unit tangent vector T…

A: We can find unit tangent , normal , binormal vector and Curvature .

Q: Solve the initial value problem y′=(2x^2+2y^2)/(xy), y(1)=5

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Q: Solve for a in terms of k. log₂x + log₂ (x + 10) = k.

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Q: show that both orders yie SS 0 55. dy dx

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Q: Find the area of the shaded region. (2) A 1.39 B 1.69 D 1.25 1.50 1/4 <2, // ) X

A: I have appended the formula used in the solution part of the question

Q: A product is introduced to the market. The weekly profit in thousands of dollars of that product…

A: We have given weekly profit as  M(p) = 90 e-0.05 p

Q: dy Which of the following is the general solution of xln x + y = ln x² ?

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Q: Find all relative extrema of the function. See Examples 1, 2, and 3. (If an answer does not exist,…

A: The given function is hx=-x+73 we have to find its relative extremum. Use the derivative formulas,…

Q: Consider the vector function r(t) = (t, t,t¹) Compute r' (t) = ( T(1) = ( r" (t) = ( r' (t) x r" (t)…

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