A. Find the general solution of the following Initial Value Problem (IVP): y-2y-3y=5 cos (2t) 5²+1 1

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A: The objective of the question is determine the derivative of the given function at x=1

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Q: A) Evaluate the following integral dx (x - 1)(x-2)(x − 3) - , 10 points

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Q: Q) Using the properties of logarithms, find the derivative of the following function (x² - 1) √x + 1…

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Q: The result of dy/dx for the following function is COS X y = 1+sin x

A: In this question we have to find the differentiation.

Q: Evaluate the iterated integral. In6 In2 S." " exty dydx = Mi In6 In2 etty dydx

A: Topic = Integration

Q: 1 Consider the sequence an = 2- n ≥ 1. 1 n²+ n4+: 4 Show that √a₁ + √₂ ++√√a119 is an integer.

A: Details solution explain with  calculation

Q: Find the roots of the differential equation: y" +4y' +6y= 0

A: See the details solution in below

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Q: The function f in the figure satisfies lim f(x)=4. Determine the largest value of 8>0 satisfying…

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Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

A: Solution

Q: dy Find given that dx cotx y² · log(x² + y²) = √√√+y√tan(x)

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Q: The result of dy/dx for the following function is COS X y = 1+sin x

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Q: Note: Answer All the Questions 01- Fill in the blank for the following statements 1- The cylindrical…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. r2 ILL yz dx dz dy -144 J-96 =

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Q: Use interval notation to write the solution set of the inequality. x²+3x-40 ≤0 2 The solution set is…

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Q: for the function below, the domain and the range is respectively y = x²/5

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Q: mpor dx oy 5-find or if f(x, y) = xe (x²³/2) дху 6- find

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Q: (x − 2)2    if x ≥ 1. (a) Find the following limits. (If an answer does not exist, enter DNE.) lim x…

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Q: for the function below, the domain and the range is respectively -2+√1-x

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Q: Q4. Evaluate the following limits. 1) 2x+y-4 lim (x,y)-(1,2) √√2x+y-2 x²y-xy² lim (x,y)-(1,1) x2-y²…

A: Here given that a limit problem and we solve this problem by using general property of limit.   Here…

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Q: Find the Taylor polynomial of degree 3, centered at   a = 0   for the function   f ( x ) = √ x + 7

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Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: Given problem:- You want to build a 1100 square foot rectangular infinity pool. Three of the sides…

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Q: (b) Find the complete solution (y = ye+ yp) of the following equation using undetermined…

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Q: a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.…

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Q: 2- The order of equation 4y"" + 2(y")5-5xy = 0 is.

A: Note: As per bartleby guidelines, I can answer only one question. So, kindly repost the other…

Q: Q5. Show that the following limits don't exist. x² 1) lim (x,y) (0,0) x2+y x-y 2) lim (x,y) (0,0)…

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Q: Use the graph of g to find the value of each expression. (If an answer does not exist, enter DNE. y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1 Evaluate the integral of ₁dx for P > 1, and determine whether it is convergent or divergent. xP

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Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

Q: Evaluate the following integrals 32-1 x + 2 dx +-² +1

A: SOLUTION-

Q: 小 7) In x √x - dx

A: I have stated the used formula in the solution

Q: B) The Value of the integration for the : below function shown is sec²2xdx [

A: Let's solve given  integration.

Q: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data…

A: Here we will calculate the linear regression  model,

Q: 6- find the second order partial derivative's of the function : z = x sin sin (x²y)

A: Here i am providing my handwritten solution