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A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on [k,∞) and…

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Q: Show

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Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r? + y…

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A: Given query is to find the focus of the parabola.

Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

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Q: Find the Taylor polynomial of order 3 generated by f at a.   ​f(x)=x2​, a=9

A: Use derivative and taylor polynomial got finding the unknown

Q: - 7z - 25 Evaluate (3x + 5)(r – 1) Add Work Submit Question

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Q: V4n + 5n° + 2 {a,} = 5n² – 7n+3

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Q: Let f: R2 → R. At some point, a , we have that f(a) = 5 and that Vf(a) : What is the equation of the…

A: answer is in next step

Q: A man of height 1.7 meters walks away from a 5-meter lamppost at a speed of 1.5 m/s. Find the rate…

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Q: (D² – 2D – 3)y = 64xe³*

A: The given differential equation is:D2-2D-3y=64xe3xWe will solve this by method of undetermined…

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Q: 3. A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

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Q: Use the limit Compariso. Testidet- ermine whe ther the following serios is, convergent or…

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Q: Sketch the region enclosed by ?=5?y=5x and ?=3?2y=3x2. Decide whether to integrate with respect to…

A: Given: y=5x, y=3x^2

Q: The interval of convergence of the power series x2n Σ (-3)" n=1 is:

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Q: cos 0 tan 0 + sin 0 Express as a single trigonometric function of 0. cos 0

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Q: A deli sells 720 sandwiches per day at a price of $6 each. ... A market survey shows that for every…

A: Let price reduce x times Price of deli = 6 - 0.1x Number of deli sells = 720 + 20x   Revenue

Q: The integral (4 – y²)²dy represents the volume of a solid. Sketch the region, rectangular element,…

A: Here, the given integral is: ∫02π(4-y2)2dy which is of the form  π(outer radius)2-(inner…

Q: -2 is a critical number of the function f(x) = /2x – x². - Select one: O True O False

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Q: Integrate 7 dx , 1+ Vx+1 3

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Q: aw aw aw I. Find дх and and (whenever possible) for the following functions. ду dz 1) w = 5x*y –…

A: Since, you have posted multiple questions. As per guidelines we"ll solve only first part. If you…

Q: set E: Problem #6 Find the equation oF the line tangent to at x = 5r FCx) = cos?x -sin? ) %3D

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Q: Use Shell Method only Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: (b) ( )Find the inverse Laplace transform 2 2s +3 (s - 5)(s +3) 82 +4

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Q: What is the farthest point on the sphere x2 + y2 + z2 = 16 from the point (2

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Q: 2. The integral S,n(4 - y²)?dy represents the volume of a solid. Sketch the region, rectangular…

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Q: Sf(x)dx = 2, f(x)dx = -5, and ſ g(x)dx = 1 . Evaluate the following 7. Suppose integrals. SF(x) +…

A: Here we have to find the given integral. I have appended the formula used in the solution part of…

Q: Find the Maclaurin series of the function f(x) = (6x²)e¯1×. f(x) = C,x" n=0

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Q: Solve the equation on the interval 0<0<2n. 4 sec 0 +6 = - 2 What are the solutions in the interval…

A: Given, 4sec theta +6=-2 0&lt;=theta&lt;=2pi

Q: aw I. Find ax aw and and ду aw (whenever possible) for the following functions. az x4 3) w = 5x?…

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Q: What is the surface area of the solid generated by revolving about the y-axis, y =1- a2, on the…

A: Surface Area of the solid generated by revolving about the y-axis ,S = ∫x=ax=b 2πx 1+dydx2 dx

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