Find the volume of the solid generated if the area bounded by y = x² and y = x5 is rotated by the x-axis O 1/4 pi Not in the choices 6/52 pi 6/55 pi 1/3 pi

Q: 1. 2y" — 7y" + 12y' + 8y = 0

A: Note:- As per your request i am solving here question no. 1

Q: Q.18) A series (-1)4+1 2k+1 , is: a) diverge by alternating series test c) converge by comparison…

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

Q: Vertex: Axis of symmetry: X f(x) = −(x + 1)² + 2 -10 -8 -6 -4 -2 10- 8- 6- 4 2- -2- -4- -6 -8- F~ 2…

A: Concept: Vertex: on the parabola, the greatest and lowest pointsAxis of symmetry: It's the straight…

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A: The given expression is:x3-2x27We need to find the coefficient of x11.

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ ≤ 1, ² Sysz Jed da

A: Follow the procedure given below.

Q: ← A3.LA.S21.pdf Linear Algebra Assignment # 03 Question 1 Write a balanced equation for the given…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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A: This is trignometry problem

Q: If f(x) = x³ +1.5x² - 90x + 16, find analytically all values of a for which f'(x) = 0. (Enter your…

A: This question can be solved using the concept of differentiation.

Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

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Q: he regions where sinx < x. (

A: Topic:- trigonometry

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: given two vector find  A x B = C  and Convert  to cylindrical coordinates

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Q: Example 12: Sketch a graph of the function f(x) = x¹ = 4x³ + 10 using the following steps. 32 (a)…

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Q: ≤ Lºin( Verify that f(x) = sin() is an odd function and use that fact to show that 0 < sin(√√x) dx ≤…

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Q: aximum profit is d to nearest integer.)

A: Topic:- application of derivatives

Q: A graphing calculator is recommended. (a) Find the vertical asymptotes of the function y = X = (b)…

A: Explanation of the answer is as follows

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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Q: s Sinx Cosy 1-Sin" x elx

A: To evaluate the given integral.∫sin x cos x 1-sin4 x dx

Q: √√2/2 11x² dx So √₁-x²² 10

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Q: 4. Evaluate the following integral using cylindrical coordinates: /16- *** z dz dy dr

A: A detailed solution is given below

Q: 1. 3r, If R is the region in the first quadrant bounded by z-axis, 3r + y = 6 and Y evaluate J[34 3y…

A: Given: I=∫∫R3ydA And The region bounded by the curves is; 3x+y=6, y=3x and x-axis y=0.   As we know…

Q: -Σ=o(x + 2;)2

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Q: Show that a right triangle is formed by points ?(3,1,-1), ?(5,3,6), and ?(3,-5,0). If it does not…

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Q: 2. Determine the centroid of the area bounded by the curves y = 4x + 16, x = -2x = 5 and x-axis.

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Q: 3. [Arccos 2xdx

A: To integrate

Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: We need o find center of mass.

Q: 71 ****** For Q.4 and Q.5, if no ), then: Q.4) The radius of convergence is: a) R = 1 b) R = 2 c) R…

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Q: dy 1+x²)²e³ = -2x dx

A: Topic:- differential equations

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

A: Recall:  V=∫abπf(x)2dx We have a=0, b=6, f(x)=e-x

Q: y" - y = xe*, y(0) = 2, y'(0) = 1

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Q: S 3x+1 - dx x²-x-6

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Q: Can you show me how to graph this please, I'm new to this subject Thank you!

A: We need to show how to graph the area bounded.

Q: .fx cos² x dx

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Q: Determine the values of r for which the differential equation y" +9y' + 20y = 0 has solutions of the…

A: We need to find how many values of r exists.

Q: F. Determine whether each linear system is solvable. 4. x = 2 (mod6) 5.x = 2 (mod6) x = 5 (mod9) x =…

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Q: A box, with a square base is to have a volume of V = 360 cubic inches. The cost for the materials of…

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Q: tion f(x) given below, evaluate lim f(x) and lim f(x). X48 X118 f(x) = x + √√x² + 3 answer below:

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Q: Show that the equation ln x = 3 - 2x has at least one real solution.

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Q: Solve 2 cos² (x) - 3 cos(x) + 1 = 0 for all solutions 0 ≤ x < 2π X = Give your answers as a list…

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Q: Use a linearization to approximate tan(π/100).

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Q: 5. S Sz+ 2 1 3z dz

A: Given ∫z+13z2dz

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Q: Prove that if i and k are relatively prime positive integers, for every positive integer l the…

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Q: State whether the following series is Convergent or Divergent. n! n=1 Convergent O Divergent

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Q: 2. Find the area bounded by curves: a. x = 1 - y² and y = -x - 1. b. x = 0 and x = 25 - y²

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