(a) Let x2 if x is rational f (x) = 0 otherwise. Prove that f is differentiable at 0.

Q: 7. Determine a" where a > 0 and n is an integer. Check the result by finding 4/3.

A: Solution 7: Given a1n, here a>0 and n is an integer. So, let x=a1n⇒xn=a⇒xn-a=0 Let f(x)=xn-a By…

Q: Which of the following is the solution of the linear system -x+2y-2z= -6 , -2x-2y-4z 9 None of them…

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Q: 2i n. 19. Which of the following definite integrals is equivalent to the Riemann sum lim 2- - dx C)…

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Q: Problem No.4 If 2 1 3 show that A - 2A? - 9A = 0 but A? - 2A - 9I# 0 A= 1 -1 2 1 2 1

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Q: Use the provided rectangular and polar graphs for sketching Sketch the region bounded by the…

A: Use the provided rectangular and polar graphs for sketching

Q: 1,2,5,7 1,3,5

A: Here, denote the decision variables simply as A, B, C, D, E, F, and G (instead of X_A, X_B, etc).

Q: -1 -4 2 -2 -2 2 If A -4 -1 1 and B = 1 -4 4 then %3D -4 -4 1 2 -2 -4 ЗА - 2B — and | AT

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Q: Question 4 Which is the length that is the same as 112 feet. Group of answer choices 1 meter 1 yard…

A: 4 Given that 112 feet. We have to find the length that is the same as 112 feet. We know that 1…

Q: 7. Fill in the blanks An object starts from rest from its starting position and moves along a…

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Q: Σ (). 4 4 n=D0 O Diverges by the Divergence Test (nth term test). O Convergent Geometric series. O…

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Q: Q5: Find the eigenvector and eigenvalue for [2 0 1] B = 0 1 0 Lo 2 1. A = 13

A: 5 Given matrix is  A=4132. We have to find the eigenvalues and eigenvectors of the matrix A. The…

Q: An animal population N(t) is modeled by the differential equation * = 0.00005N(N – 200).If N(0)=A,…

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Q: Compute the total cost per year of the following pair of expenses. Then complete the sentence: On an…

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Q: Find the solution. dy 2y - =x?y%sinx dx 1 A y = x2(sinx – c) y = x²(cosx+c) 1 y = x²(cosx+c) 1 y x (…

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

Q: Theorem 10.1.7. Let f: [a, b] R be a function of bounded variation on (a, b). If there exists a…

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Q: If 1 4 1 A = 2 3 -2 1 -1 1 1 determine the following entries: a14 a32 a23

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Q: In Exercises 13 through 18 use Newton's method to find the required root. 13. Find 231/3 by solving…

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Q: Let Y be a random variable with p(y) given in the table below. y 1 2 3 4 P(y) 0.4 0.1 0.2 0.3 (a)…

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Q: Compute the total cost per year of the following pair of expenses. Then complete the sentence: On an…

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Q: A function f is of bounded variation on the closed interval [a, b] if there is a number K such that…

A: Given that, A function f be a bounded variation on the interval a,b Then there exists a Kreal number…

Q: Consider the IVP: y" + 9y = 40EX; y(0) = 5, y'(0) = -2. Find the general solution. (A y(x) = 4e¯*+…

A: We solve the given IVP  y"+9y=40ex......(1) y(0)=5,y'(0)=-2

Q: y'= 1 + 3ytanx A 3y cot³x=ctanx+3sinx – sin³x B 3y tan?x=c+3sinx – cos?x © 3y cos?x=c+ 3sinx – sin³x…

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Q: (Quotient Rule). Let I be an interval and let f,g:I → R be differentiable at cE I. THEOREM Then…

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Q: 32

A: As per our guidelines, we are supposed to answer only the first question. Here question 32 is…

Q: Find the solution. y'-y =y²ex c-x A y Fi et e B y = C-x y = C+x C+x D e

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Q: Find the solution. 4y" - 9y = 0 Fi A y =c,e (D y =c,e/½+c,e"/½ © y =c,e Dy =c,e

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: An ice cream cone has a height of 13.5 inches and a diameter of 2 inches. What is the minimal…

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Q: Tutorial Exercise Use the shell method to set up and evaluate the integral that gives the volume of…

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Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y (t) =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If A is an n x n matrix and b + 0 in R", then consider the set of solutions to Ax = b. Select true…

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Q: Find the linear approximations to the following functions about x = 0. Then, approximate the value…

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Q: Which of the following is the solution of the linear system -x+2y-2z= -6 , -2x-2y-4z=9 None of them…

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Q: lines in the look at two reflectious in flone The first So, is the reftettion ofthe Planes points in…

A: For the solution of the problem follow the next steps.

Q: 28 6y 0 are y=e ", 2= e 3t Two solutions to y Y a) Find the Wronskian. W = b) Find the solution…

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Q: Exercises (1) Show that if gcd(a, c) = 1 and gcd(b, c) = 1, then gcd(ab, c) = 1. %3D %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Consider the initial value problem, 2y 3y2 / = 1<t<2, (la) y(1) = 1. (1b) The exact solution to (1)…

A: Given initial value problem is y'=2yt-3y2t3,      1≤t≤2,y(1)=1 To solve the  problem using Euler…

Q: 4iw i3w3 + 6i²w2 + 11iw + 6

A: Given: 4iωi3ω3+6i2ω2+11iω+6 To find: Inverse Fourier Transform of the given expression.

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

A: For the solution of the problem follow the next step.

Q: Encounter the sector's area beneath the diagram of f(x) to the right of x = 12. f(x) = 1 / (x - 9)2

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Q: Jesse purchases a retirement annuity that will pay him $1,500 at the end of every six months for the…

A: 9years +3 years =12 years r=3.5%t=11n=4 Payment received =1500×2×9+600×12×3=27000+21,600=$48,600

Q: Test marketing for a new health-food snack product in a selected area suggests that sales…

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Q: Fill in the blanks to complete the sentence below. A set with 10 elements has subsets and,…

A: We have given that a set with 10 elements we have to find Number of Subsets and Proper Subsets. We…

Q: Consider writing onto a computer disk and then sending it through a certifier that counts the number…

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Q: Ex. 1. Obtain the formal expansion of the function f(x) = TX – x, 0SXST, in the series of…

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Q: Let k and n denote two positive integers. It is known that y = 2022xek* is a solution of the…

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Q: (a) Use the differential equation to show that any solution is increasing if m < P < M and…

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Q: 325= (100 x ____) + (10 x _____)

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Q: 4X dy 2siny ?) S dy sinzx e 3) S sin? dx

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Q: 2. Find the positive root of x +2 lnx - 4 = 0.

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y?,…

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