4. Given f(x) = Vx+3, find an equation of the inverse. 4. 4 / 4

Q: Part A,B,C

A: 2.(a) Given:

Q: Q4: Find the value of for the expression y = e* sin (x) at x = 0. dx

A: To find dydx at x=0

Q: 29.:* Find the derivative: h(x)= | dz z+1 a. b. C. 2+2 d. 2(x+1) e. None of the above.

A:

Q: 2) Find the derivative of the following: (8x² - 14x + 3) 8.r2 b) 5x-6 e

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Q: Solve the following DE using variation of parameters (D – 1) y = e" + 1 -

A: Let's find.

Q: 6. (2x + 3y)dx + -x)dy 0 %3D

A: Consider the given equation as 2x+3ydx+y-xdy=0

Q: Givenf(x) = x°, use differential to estimate the value of (4.003). Give your answer correct to two…

A: Here we have to make linear approximation of the given function at a specific point suitable for the…

Q: 4. Use the table to find the value of the derivative of each function. c(t) 3 c'(t) L(t) l'(t) 2 2…

A:

Q: I. Solve the following: 1. Given: y = 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x? = 144, find y"…

A: Given  1. y=2x-13+43x-2 if x=22. 3x+4y3=5 If (3,2) To find slope m:

Q: The h$(2x) sech (2x) dx is equal to sech (2x) sech (2x) +C. A. 1 3 10 B. None of the choices in the…

A: Solve the following

Q: Evaluate the second derivative of e e22.1.png acos(b/x) f(x) = x2 if a = 123 and b = 0.5 at x = 6…

A:

Q: 1.Find on the following implicit equation: xy² + 5x3 – 3y4 = 2 dx

A:

Q: C. Find the third derivative of the given function/s. 3. у %3D х (2х + 1)2 4. у %3D (2х— 1)(х + 2)2

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Q: 2х + 5 а. Ify- dy then find and simplify dx x2 – 1' 2х + 5 b. Suppose we rewrote y as + C, where C…

A:

Q: 13. Find the derivative of the following functions and simplify the answer: 2x + Va 1y (a' 5x2 - 7…

A:

Q: Find the second derivative (y") of the given function: 6. y 2-e -6e* +12e-e" (2-e*)" 6e* (2+e*)…

A:

Q: 4. Find the derivative of the following by applying the chain Rule and simplify. a. f(x)=| x+3 b.…

A:

Q: Find an antiderivative for each of the following functions. You can check your work by taking the…

A: we have to find the antiderivative of the following function

Q: 4.2 Apply the appropriate method to calculate the following: x5+ I = S = s** dx x2 -4

A: Given  I=∫x5+x4-8x2-4 dx

Q: Find the SECOND derivative of f (t) = ln(1+t² ), f" (t) = NOTE answers are left in the way you would…

A: Given f(t)=ln(1+t2)

Q: B. Find the first and second derivatives of the following: 1. m(x) = 2(x)(√x) 2. a(x) = √3x 3. [u(x)…

A:

Q: Specify c 1, Co, C and p such that the formula c-19(s- h) +Cog(s) + ci9(s+ h) g'(s) = hP denotes the…

A: Finite difference is a method of numerical analysis which is used to calculate the derivative of a…

Q: 3(34 to Y= ! 2% e dy

A:

Q: To what value of n will the nth derivative of the given function be equal to zer 5x² (x + 47) А. 2…

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Q: 13. Differentiate y = e** with respect to x . ,3x+1 C (3x+1)e³x! D 3xe*+1 O A В D A

A:

Q: 6x?e- is The derivative of y a) None of these b) 6xe (2 – x) - c) 6xe (1 + x) d) 12xe (1 – x) - e)…

A:

Q: у 3 2Таn(0.5х) — х II

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Q: Suppose z is a function of x and y, and a? – y? = 2"e6y. Solve for dz dx

A:

Q: Find the second derivative of h(x) = 6(?3 + 4)3

A: Solution : The objective is to find the second derivative of the given function

Q: For what value/s of x is the derivative of the function - Vx² + V¤ equal to 1? O x= 1/27 O x = -1 O…

A: Consider the given function -x23+x3.   Obtain the derivative as follows. ddx-x23+x3=-23x-13+13x-23…

Q: 13. Find the derivative of the following functions and simplify the answer: 6x+ VE (a) 7x2 – 1 e…

A: As we know that the derivatives of:-  the Quotient Rule:  fg'=f '·g-g'·fg2 Apply the Sum/Difference…

Q: 10. (2ху*eУ + 2хуз + у) dх + (x?y*eУ — х?у?— 3х) dy — 0; when x - -1, у — 1

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Q: 9. Calculate the derivatives of the following functions. DO NOT simplify the answers! a) y = x° + 7°…

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Q: Find the differential of the function  p = 5q − 6q3/2

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Q: [Q2] For the following function Ax)=2e!.5x 1- Obtain the first and the second derivatives for x =3…

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Q: 4. Find the general solution for the DE below: a) = x b)= 3r²-1 dx 2s

A: Seperate the Variables before applying the integral.

Q: find the differential of the following function u=2x^24+2

A: Given:

Q: 8) Find the derivatives of the following: a) f(x) = 4e* – 2x + 5 b) f(x) = ln 2x² c) f(x) = (4 – x)5

A:

Q: Find the derivative of the following: 1. D, (x³) 2. D, (5x2) 3. D, (x – 2x*) 4. D, (x-2)(2x +3) 5.…

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

Q: 12. fe"dk = А. 1-е! В. -1-е! C. e+e D. -1+e 13. felnx dx = A +k В. +k C. e +k D. 2ehr +k Inx 513

A:

Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)…

A:

Q: 35. Find a value of the constant k so that kx²y dx dy = 1.

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Q: Solve the following problems involving implicit functions. 2. Find dy⁄dx for xy2 + 4y3 − 6x = 10

A: Explanation of the answer is as follows

Q: 4x+3 J When solving for the second order derivative of f, it yields to f"(x) = X(Ax+B) Cx³ Suppose…

A: The given function is, fx=4x+3x Differentiating with respect to x,…

Q: 25. Find the derivative of the function. y = (1+ 3x)e - 3x O A. - 9e - 3x 3x В. - 3(1 + 3х)е - 3x -…

A:

Q: Do as indicated: 1. Solve the DE: (xy'+y)(1+2e* +e +e*)- xe = 0 *)-xe*: %3D

A:

Q: 3. Show your complete SOLUTION AND FINAL ANSWER on the given functions. 1.f x³ dx

A:

Q: 18. Up to what derivative is the derivative of y = x6 + 2x5 - 4x4 + 7x³ becomes 0.? a. yv b. yu c.…

A:

Q: Q 3) Find the first six derivatives df d(6) D of x" withn > 6. What would be the dr6 dx sixth…

A: When n>6 then: