Use the method of variation of parameters to find a particular solution of the following differential equation. y" +y=5 csc (x) ... The particular solution is y,(x) =.

Q: 2.Make a sketch of the following polar equation: r = 2 +4 sin 0 (r, 0). Determine also the tangent g...

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

A: We have to find the volume of region.

Q: 2. Laguerre Polynomials The Laguerre polynomials can be calculated via the Rodrigues formula d" re²....

A: According to guidelines, we can attempt 1 question

Q: 4y 6. Consider the solution to the differential equation y' with y(1) = 1. 3x %3D (a) Apply Euler's ...

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Q: Given the following set of series, solve if they are ABSOLUTELY CONVERGENT, CONDITIONALLY CONVERGENT...

A: Convergence of the series and interval of convergence

Q: 2) The top surface of a desk is composed of 2 rectangles and a triangle. Some side lengths of the to...

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Q: Given the description of the phenomena, identify the corresponding mathematical model. A population ...

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Q: -1 a) Find the largest eigen value of an orthogonal matrix of Q = 1 -1 2

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Q: Over the past 40 years, Interest rates have varied widely. The rate for a 30-year mortgage reached a...

A: Given: A home sells for $125,000. A down payment of $25,000 can be made. So, $100,000 needs to be bo...

Q: Compute the flux of the vector tield F(x, y, z) = 67 + 27 + 4k through the rectangular region with c...

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Q: Using Simpson's 3/8th rule, evaluate the following integral with 6 sub-intervals -2 (x+1)dx x2+2x+2"

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Q: Question 4. a. Let n be a positive integer. Prove that n E Q if and only if n is a perfect square. b...

A: The given problem is related to number theory. First we prove the (a) considering n is perfect squar...

Q: dy + (cos x)y = sin(x²) dx 11. sin x dy – 4y = x*e* 12. x dx

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Q: 1. For what value(s) of b will the system below have an improper node at (0,0)? 2. For what value(s)...

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Q: Two children weighing 44 pounds and 76 pounds are going to play on a seesaw that is 10 feet long. Th...

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Q: Show that the volume generated by revolving the region in the first quadrant bounded by the parabola...

A: Solution is below.

Q: 1. 0.001n³ – 1000n² log n – 100n + 5 O (n³).

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: a) Show that f has no rational roots. b) Determine the remainder of the division of f by g. c) Show ...

A: Given function are f=8x3-6x-1 g=4x3-3x and the set M=hcosπ9|h∈Q[x] Solution a: f=8x3-6x-1 Comparing ...

Q: At what point of the curve y = cosh(x) does the tangent have slope 2? (x, y) =

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Q: 1. . :) Determine the series solution to u' – tu = -², up to rª.

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Q: COS x -. Use Squeeze Theorem to show that lim 0. x→+0 cosh x

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Q: A wedge is cut out of a circular cylinder of radius 14 by two planes. One plane is perpendicular to ...

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: Euler's method

Q: 1. . :) Determine the series solution to u' – tu = -ť², up to t.

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Q: Determine the area bounded by the conic sections y = x² – 6² and y = 6² – 2². O 576 O 183 O 281 O Th...

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Q: A circle is defined by z² + y² = 9. The area bounded by circle and y-axis on quadrant II and III is ...

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Q: Using Dodge-Romig plans for AOQL of 3%, determine the sampe size if the process average defective is...

A: Given: Lot size=600,  Process average defective=0.50%. To find: Sample size using Dodge-Romig plans ...

Q: Determine whether the Series is absi utely convergent, ordinergent 52ょ2n+3

A: Given series is ∑n=1∞-1n n2 +2n+35n3 +n+1 This is alternating series. Take an= -1n n2 +2n+35n3 +n+1

Q: 1. Given vectors B = (1,–2,3,0),C =(-2,1,0,4) in R*. (a) Examine if vector X = (-4,-1,6,12) is in th...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Evaluate the integral f cos z(1 - sin 1)-1/2 dr. O In (cos r) +C O In (sin z) + C 2-in(1- sin 1) + C...

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Q: (-1)*k 42. k4 + 1 k=1

A: Reminder theorem

Q: A Fnd

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Q: The polar form of –256 – 256V3i is 512 (cos (-) + i sin (-)) (for steps, see polar form calculator)....

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Q: Find the root of f(x) = (x – 4)° (x +2)= 0, using the initial guesses of X2 = -2.5 and Xy = -1.0, an...

A: Note:- For this problem any particular method is not mentioned. so, here i'm using Bisection Method....

Q: Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, i...

A: Given,         AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, and the sum of the opposite angl...

Q: 3-11 A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Ex...

A: We are only allowed to solve one question at a time so we will answer only the first question. Pleas...

Q: 3. Solve the partial differential equation a'z a'z dy

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Q: find the eigenvalues and cortespanding eigen functions for the_followng boundary valve problem on in...

A: Hi! As per norms, we will be answering only the first question. If you need an answer to others then...

Q: D. The temper ature Tin C at any pt. 4y,2) n a Cartain room is guen by Toxy, 2)= 30 con sin ce? Cazご...

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Q: 11. Let S= {| -2 }. Show that u= E span S. 1 2

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Q: Solve the following problems. The population of Aman city increased from 188,500 to 191,890. Find th...

A: Solution

Q: Write, but do not evaluate, an integral expression that gives the volume of the solid generated by r...

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

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Q: What is the slope of the line that passes through (4, 2) and the intersection of the lines-2g + 5z -...

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Q: y" +9y'+ 18y 2050 e2 cos 10t A solution is y,)-D

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Q: 11. х2 + у? - 6х + 16у + 24 %3D 0 12. Зx2 + Зу? -42у -153%3D0

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Q: Jenelle bought a home for $350,000, paying 18% as a down payment, and financing the rest at 6% inter...

A: Given that Total amount of home is $350000 down payment is 18% So down payment is 350000×18100=$6300...

Q: are

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Q: • Give an example of a continuous function f(x) on (a, b) such that f(x) has no maximum on (a, b). D...

A: We have to give an example of a function f(x) that is not bounded on [a, b].

Q: 3.4a + 7.0v - 13.2s = -11.39 -6.0a + 4.0v + 3.5s = 4.98 2.7a + 6.0v + 7.1s = 15.91|

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