Integrate bath sides of problem y'= f(y) and interpolate f(yrer) ane step method. Hints y'=f(y) aver interval [tit n on the paints titnal S. [yid = Sy'dt and derive [ f(y(+₂) de Ĵ interpolate on thi tual راهنمایی

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A: As per guidelines,we are supposed to solve first 3 subparts only.I have given 4.

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A: As per the question we are given the following function : y = ex + x And we have to find y'(x) for…

Q: The detivative f^1(t) if f(t)=4t2+t

A: Given f(t)=4t^2+twe will use exponent rule to find derivative

Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x³ + 15x² + 24x – 3

A: We Know that The second derivative may be used to determine local extrema of a function under…

Q: Let f(x) = V2x² + 2x + 4 %3D f'(x) = %3D f'(2) = Question Heln:

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Q: Find the first and second derivative of the function. G(r) = Vr + Vr 1 + 1 G'(r) = 3x G"(r) =

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Q: determine

A: We will find the derivative using product rule and chain rule.

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Q: Find all of the critical numbers of the function g(0) = sin 0 in the interval (0, 37). (a) r = #/2,…

A: The given function is gθ=sin2θ in the interval 0,3π. Calculate the critical numbers of the given…

Q: 51. y = e-* cos x, [- , ] 3]

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A: Important point regarding rational function:-If function is a rational function then it is…

Q: If f'(x) = -f(x) and f(1) = 1, what is f(x)? f(x) = e-x-1 Option 2 f(x) = e-x Option 4 f(x) = e¹-x…

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Q: Find f f(x) dx if 4 for a 4.

A: I=∫05fxdxif fxdx=4for x<4xfor x≥4

Q: Given f'(x) = 3x4 — 4x³ + 7. Find all critical numbers of f'. (a.) 1 and 2 (b.) 1 and 3 (c.) 0 and 1…

A: To find the critical numbers of f'

Q: 14. The f'(4) for y = v3x2 + 1

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Q: itical points of the f(x, y) = x³-9xy + y³ - 2 maller y-value tical point ssification ger y-value…

A: If the critical point of the function is .then has local minima at if .then has local maxima at…

Q: The line y 을 16 has x-intercept 3. -8)-and is perpendieular to Ahe line Passes through (4,pand…

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Q: Texti 5x1 let for (x)= find MLS.fof. (D). Уч X=1/2 (1+0)/4 ·\1-Q)/4 X23 x=y

A: Given that,  f(x=1, 2) = 1/4 f(x=3) =(1+theta) /4 f(x=4) =(1- theta) /4 We will have to find MLE of…

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A: To find the second order derivative.

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Q: Let X ~ T(a, B). If E(X) = aß and E(X²) = aß² + a² ß². If â = X, find the method of B moments…

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Q: If f(t) = (t² + 3t+2) (5t² + 4), find f'(t). 201³ + 45t² + 32t Find f'(2). 40 X

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Q: graph

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Q: Let {Xi} be i.i.d with the pdf f(x; θ) =c/x^(θ+1)  x > 1, where θ > 0 is the unknown parameter.…

A: Given information: Let X1, X2, X3,…, Xn be independently and identically distributed random…

Q: Q2/A/<he di fferential equation is yedx +3xay+dx +dyno diff erential when fineling the solution to a…

A: To find: The solution of differential equation y2dx+3x2y2dx+dy=0 and also find the constant (c) at a…

Q: 21// Find equations for the normal and tangent to the (2-√3)(1+√x) (2-X (2+√x) at x = 1. curve y =

A: Given .

Q: 6. у%3D (3х + 1)8 a. y' = 24(3x)7 оъ. у %3 3(24х + 1)" О с. у'3D 24(3х + 1)" O d. y' = 8(3x + 1)7

A: