3. Determine whether the functions e2a and xe2 by calculating Wronskian.

Q: Find the general solution of the following ODE's: y' + 3x²y = x²

A: The given differential equation is y'+3x2y=x2 It is of the form of linear differential equation…

Q: Suppose that the number of units of a good produced, z, is given by z = 15xy, where x is the number…

A:

Q: 4. The following function is a cubic spline for what values of a, b, c? 2x3 – 3x2 + 3x – 6 for 0 < x…

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Q: (11) Let X = n(µ,4) and Var(2x) = E(4– 7x) find u.

A:

Q: 13 Give the six circular function of 4.

A: To find: The six circular function of 13π4 (θ=13π4)

Q: 20. Solve for the Wronskian of the set of functions: 3x - 1, x* - 2. 2x + 3 A. 4x (9x + 10x-90x -…

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

Q: 1. Find the T.F of the following sys.: 園 = -5 3 =][*] + € y = [12] u

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Q: 6. Let f Cx) o 2x+1 find as AY0

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Q: Use the approximation (1 + x)^k ≈1 + kx to estimate the following.a. (1.0002)^50         b.…

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Q: The cdf of a certain college library checkout duration X is as follows. x .5)

A:

Q: Which of the following statements is TRUE? (a) The function f(n) = 4log (n³) grows faster than the…

A: Given that: (a)f(n)=4log2(n3) grows faster than the function…

Q: Find for the function y = In 20 1+ e

A: The given function is y=lnet21+et2. Chain rule: ddtfgt=f'gtg't Quotient rule:…

Q: 5.16] Use the function f (x) = xe¯ ¯x² to find fave on [0,4] %3D

A:

Q: Consider the following. g(x) = x4 – 2x2 + 6 Find g'(x). 9'(x) = Find the critical numbers of g(x).…

A: The given function is g(x) = x4 − 2x2+ 6

Q: 14. Suppose that Yk+2 – Yk+1 + 2yk = 4*, k > 0, and that yo = 2, y1 = 1. Find yk using the method of…

A: Solution of difference equation is a function that satisfies the given difference equation. Solution…

Q: 8. Which of the following functions has a hole at x = 5? x-25 a. X-5 fx) = C. Ax) = %3D 2-25 d. Band…

A: As per Bartleby's answering policy, we cannot answer more than one question. So kindly post the…

Q: 14)- Consider the following formula f"(x.) = 4-4o+3f-1 _ 2hfm(c) 6h2 3 Find the optimal h.

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Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as entiable function of the independent…

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Q: If H(r) = 1- 3.r – 3.r2 +6.x is the Hermite interpolation for %3D 0 1 the data in the table f(r) b1…

A: To perform Hermite interpolation with the given data.

Q: B- Obtain PDE by eliminating the arbitrary functions from the following; 2- Ix + my + nz = Ø (x2 +…

A: We have to obtain PDE by eliminating the arbitrary function from  lx+my+nz = ϕx2+y2+z2.

Q: So, T= he Ak en 1+ 2The? da putting the velue f all data, we get 7. T (6.62 x 134J.s) 3x lo m/s)…

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Q: Determine each of the following areas. above x = 1.46 below z = -0.58 at most z = -1.8 at least z =…

A: Thank you for posting the question. As your question has more than 3 parts, as per the policy, we…

Q: Find the Wronskian for the set of functions.{x2, ex2, x2ex}

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Q: Find the Wronksian of the given pair of functions.  e^(2t), e^(-(3t)/2)

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Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: Suppose that  f(2) = −3, g(2) = 4, f '(2) = −5, and g'(2) = 1.  Find  h'(2).   (a)     h(x) =…

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Q: Given the following information evaluate the other five functions. 3n < 0< 2n 2 25 csc e = and 24

A: the given information is: we have to evaluate the other five functions.

Q: The critical number(s) of f(x) 2/3 is (are)

A: The critical points of a function are the points where the derivative of the function is not defined…

Q: If f(x) = -7e*, th %3D

A:

Q: Suppose that the function f(x)= qx<+4x-6 satisfies the necessary conditions of Rolle's theorem in…

A: The given function is f(x)=qx2+4x-6 ....................................... (1)  Satisfied the…

Q: Calculate dIn |2 – 1|/d In a as a function of 2 and w; by differentiating 2(a) – 1 = H²a? to show d…

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Q: Find the Wronskian for the set of functions {e5x, e-5x}

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Q: 3. X-メ Find d x at x=\

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Q: Find the x values of the two critical points of: 3(x- 1)23 6x – x² - 5 if x > 2. if x < 2 f(x)%3D X…

A: we have the given function is ;  f(x)=3(x-1)2/3if x≤26x-x2-5if x&gt;2

Q: 1. If f(x) = x² – 2, compute the following: a) f(1) = b) f(1+h) = c) f(1+ h) – f(1) h Bring your…

A: As per the guidelines we have to solve only one question

Q: (iv) p(39), where p is the Euler p-function.

A: Euler totient function and residue classes

Q: 3. If h:x + x + 1 and k:x - x', complete the following. b. ko h:5 a. koh:3 d. hok:3 c. koh:x - ? e.…

A: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and…

Q: 11. Where are the holes of the following function? (x + 2) (x – 3) x - 3

A: To find the holes of the equation

Q: 3. Compute the iteration for the function f(x, y) = 4x³ + 6xy? R=[1,3]x[-2,1]. on the rectangles

A: Double integral over the function

Q: az For each of the following functions z, find and ax 3. уz + xz + ху %3 о

A: Given problem:-

Q: 2: find the function H by Cayley-Hamilton-Sylvester -2i

A: Here we will find out H-1

Q: Consider the following function: f (x) = x + 2x + 8x + 5x Employ parabolic interpolation to find the…

A: Given:-              A parabolic approximation:-                          f*x = Ax2 +Bx +CXmargin =…

Q: ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² –…

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Q: If X x2(m, mµ²) find the corresponding (a) mgf; and (b) characteristic function.

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Q: Q: A- find for the functions: - In =) + In(3x2) = In(3) %3!

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Q: find the absolute maxsmum and mini mum values of f in the given interveL fcm) = x"_2x²+1 x"- 2x+1,…

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Q: Find f(t) if L(f) = 6(1-e^(-πs))/(s^2+9)

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…