5 y 2 AV -6-4-2 2 4 67 10 -2 -3 -4 Consider the function Y 13 4 f(x) -2 if x + 4 if 2x + 1 if -2x+6 if 1 ≤ x ≤ 3 -x+7 if 3 < x≤ 6 x-22 if 6< x≤ 10 if x > 10 3 x < -6 -6≤ x < -2 2

Q: Which of the following is the complete set of roots of the auxiliary equation for y'"-3y"+3y'-y=0. A…

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Q: The curve y²-x²= -5x is a solution to the differential equation y = (2x - 5)/2y (A) TRUE B) FALSE

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Q: a) Calculate the derivative of: f(x) = 2³.cos(3x²) - sinh(3x + √x) b) Give the tangent in the point…

A: solution is given below...

Q: 2. (1+ √2-1)² = 3+ √2x-1

A:

Q: √²³(2x − 1)³dx -

A: As per guidelines we can answer only one question at a time. So if you need more answers kindly…

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A: Answer: The solution is as given below:

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Q: The curve y2 - x5= -5x is a solution to the differential equation y' = (2x-5)/2y

A: Integrate by seperation of Variables

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A: Given; y=tanh(ex).

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Q: The null hypothesis specifies a value of p for the population. What is the corresponding statistic…

A: The null hypothesis specifies a value of p for the population.

Q: 11. 2n+1 ΣΕΡ 201 n=1

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Q: The graph represents the sales S (in millions of dollars) for Fossil from 2007 through 2013, where t…

A: Solution: Given graph,

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A: Given: A rose r=cos4θ To find: The area of one leaf of the given rose.

Q: 2. What equal payments at the end of 2 years and 5 years will equitably replace these obligations,…

A: Explanation: P = A(1 + i/n)^nt P = 4000(1+.09/2)^(2*7)P = 4000(1.045)^14P = 4000(2.369)P = 9476.00…

Q: Particular integral of (D2+9D+14)y=1+5x-3ex

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Q: Let lim f(x)=c, where c is nonzero, and lim g(x) = 0. Then lim- 0 and g(x) +0+ II. c>0 and g(x)0…

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Q: dy Solve the differential equation cosx- -+ysinx=sinxcosx. dx A y = sinxlnl secxl+ Csinx B) There is…

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Q: Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear…

A: Note: Due to guidelines I can solve only the first question. Solution: Here coefficient matrix A…

Q: dy xy-y+2x-2 dx xy+2y-x-2 y(-1)=-1

A: To find the solution of differential equation

Q: Find the value of $1000 deposited in a bank at 9% interest for 8 years compounded in the following…

A: Given: The value of $1000 deposited in a bank at 9% interest for 8 years compounded in the ways i)…

Q: x² +1/x² = 34 , find the value of x⁴ + 1/x

A: Square the given expression

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Q: 1. ASSUME THAT Z IS IMPLICITLY DEFINDED AS A FUNCTION OF X AND Y. FIND THE FIRST PARTIAL DERIVATIVES…

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Q: Evaluate lim (z,y) → (0,0) 1 - cos(xy) x²y²( −3+ y)

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Q: lim1 X→0 limx X-0 1 The function f is defined by lim lim x 0x x0x lim x→0 x² +1 X lim x→0 x²-1 f(x)=…

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Q: Eliminate the constant: y=cx+c²+1 Oy=xy' + (y) ²+1 O y'=xy + y² +1 Oxy"=x+ (y) ²+1 Oy=y'+x(y'¹) ²+1

A: The answer is given below

Q: (That is 4 to the power of In x, all over x. It is not 4 times in x. all over x) 60 In 4 dx 11 In d…

A: Understanding of integration with substitution method is needed to solve this question.

Q: Matrix A = [13],find Eigen values of 4².

A: First of all we will find A to the power 2, then we will find eigen values

Q: The concentration C (in percent) of a drug in a patient's bloodstream. (t) hours after injection is…

A: We can find the answer in the below steps.

Q: Question 13 What is the general solution of the differential equation y" - 2y'+y=0? y=Cu +Cre B…

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Q: y = ax²; xy' - 2y = 0

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Q: Solve the differential equation (A) x + Iny=c (B) Iny-x=c Ⓒ Inc-y=x D) Iny=c dy dx =y

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Q: Find a parametrization r(t) of the line through the origin whose projection on the xy-plane is a…

A: Your solution:

Q: 5) w(n) = -2n - 2; Find w(9)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Question 5 The curve y²-x²= -5x is a solution to the differential equation y'= (2x - 5)/2y A FALSE…

A: Given differential equation, y'=(2x-5)/2y So, 2ydy=(2x-5)dx

Q: 6. Use the Sandwich Theorem to prove that lim x cos 7 = 0. X x-0

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Q: In Problems 11-14, y = ciet + c₂e" is a two-parameter family of solutions of the second-order DE y"…

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Q: A. Solve f(D)y=0, where f(D)= D(D² - 1)²(D − 1)³. B. Find L{3e-10t - cosht+t(6/3).

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Q: Which of the following is the differential equation of the family of straight lines through the…

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Q: 1 For each of the following problems, find the solution of the initial value problem in explicit…

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Q: Find the value of $800 deposited in a bank at 10% interest for 10 years compounded in the following…

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Q: Find d²y| dx² d'y dx² x=2 = , where y = = P 4x5 - 2x². 4

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Q: 1. - [48 n 1 57²

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Q: y=Get+Cocos x + C3 sinx

A: Since in this equation there are three arbitrary constant so differential equations is of order 3.

Q: If a binomial distribution has p = 0.60, then what is the value for q? O 0.36 O 0.40 O 0.60 O 1.60

A: Solution is given below:

Q: 13. == H

A: Radius of convergence of a power series is ∑anxn is given by 1R=limn→∞supan1n.Then interval of…

Q: - 2 to The region bounded by the line 2x + 3y = 6 and the x and y axes is rotated around the line y…

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Q: . Let A=(2, 3, 1) and B= (4, -1, 2) and C = (6, 2, 3). Find the equation of the line in parametric…

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