Use the method of variation of parameters to find a particular solution of the following differential equation. y"+y = csc ²(x) The particular solution is y(x) =

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A: Given the charge for food is $8 per pound, $12 for shipping and 9% tax on food as well as shipping.…

Q: dont understand what you have done in at the beggining

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Q: Q5. Find the angle between the vectors u=2i+j, v=i+2j-k. And uxv

A: Please see the below picture for detailed solution.

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Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of co will the solution…

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Q: Q3) Use double integration to find the area of the shaded region between the y-axis and the curve x…

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Q: 2

A: We will solve the problem

Q: 1 1 √√x+2 dx. 貼 Evaluate O A. 39 O B. 38.0894 O C. 15.6291 O D. 6.5798

A: Since you have asked multiple questions so we will solve first question for you.

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A: Here we need to estimate the area under the curve using two and four rectangles.

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Q: Find a function f such that for any real number x such that 2√x + tan-¹x In csc x [₁₁ (1) dr = 3 +…

A: To find a function f such that for any real number x such that ∫-1xft dt=2x+tan-1 xlncsc x+π

Q: c- Show that the following limit does not exist (x² - y²) lim (x,y)-(0,0) x2 + y² 2

A: Given ; lim(x, y) -(0,0)[(x2-y2)/(x2+y2)]2.

Q: For the surface 4x² +2²-y²=9, classify the trace when z = 1. O line O hyperbola O ellipse O parabola

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Q: Problem Solving 1. For the following problems, determine the area of the region between the two…

A: Solved below.

Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: Find the horizontal asymptotes f(x) = = Justify your answer. 5x3 √9x6 + 4x² − 1

A: topic- horizontal asymptotes

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Q: Calculate the derivative of the function below using the quotient rule. 210 y = √x + 5x8

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Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A: topic-  algebraic operation

Q: Use spherical coordinates. Evaluate SSS √x² + y² + z² dv, where E lies above the cone z = √√x² + y2…

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Q: .3 Using the prepaid option, he would pay per second. Using your answer from question 4.2 to…

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Q: Q1. Find the half-range sine and cosine Fourier series for f(t) = t in each case. 0 < t < 2. Draw…

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Q: 1000 I(t) = 1 +999e-.6t where t is in days and I represent the number of infected individuals. 1(t)…

A: It=10001+999e-0.6t…

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Q: π 2 00 sin³¹(0) cr S' 0 rdr dedz

A: We have to evaluate the given integral.

Q: PMT is Maximum Monthly Payment = 3,504 i = 3 n = 30

A: By using given formula

Q: Q5) Evaluate the following integrals: 1. ƒ (1+√3)³ d -dx √x 2.JxỏeXdx 3.f (x+3) dx 2x³-8x

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

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Q: Find the derivative of the function f(y), below. It may be to your advantage to simplify first. f(y)…

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A: Let's solve given integration.

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Q: For the function y = f(x) = x² – 2x, x x ≥ 1, find (ƒ-¹) '(3) = df-1 dy y=3

A: We have to find the f-1'(3).

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Q: 6. Graph the parabola described by y = -4x² + 10x + 12. (Be sure to show vertex, x and y intercepts…

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Q: 1) In medieval times there were 10,000 people living in a city that was struck by a plague so that…

A: This is a problem related to differential equation. based on the general formula of decay law we…

Q: What function will you differentiate to get each function? 2. f(x) = 8x74x³ + 2x - 3 →

A: solution:-f(x)=8x7-4x3+2x-3antiderivative of f(x)F(x)=∫f(x)dx       =∫8x7-4x3+2x-3dx…

Q: Let f'(z)= 8cosx-7sind 2 f'() = 0 f(x) = 8 sin x + 7 cos x

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Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function is:

Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. X x/2 x/4 y/4 y/2

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Q: Let Calculate the derivative using the product rule. f(x) = and g(x) = which means that f'(x) = and…

A: Given :y=x3x2+x5

Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: we have f(x) =4x3-6x2-10x+1

Q: Write the solution statement for all of the solutions to the equation 6√√2csc(0) - 4√6=0

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