2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your work.

Q: B) Find the third derivative of the function: Y = + VX3 %3D

A: We have to find third derivative

Q: Q1 A balloon is rising vertically above a level, straight road at a constant rate of 2 ft sec. Just…

A: 1 Let the distance between bicycle and liftoff point be xt And distance between balloon and liftoff…

Q: B)ls w = Ze² analytical function or not?

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Q: d 3) (2a)* = (Derivative of an exponential %3D function)

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Q: II. Obtain the required order of derivative. 1. y? = 4x, find y" 2. x3 - y3 = c³, find y"

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Q: f(x)=x2+2 find average rate of change from -2 to 0 feom 1-3 and from -1 to 2

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Q: y = (e*+4 +2)/(e2+3x +1)

A: y=e-3x+4+2e2+3x+1

Q: 34 - What is the value of the first derivative of the function at x = 2? A) 2 B) 1 C) -2/3…

A: Given y=ln[(x+1)/(x-1)] To find the first derivative at x=2

Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: As we learned previously, most fish are indeterminate growers, which means they continue growing…

A: Given: Growth in centimeters per year is given by: f(t) = 3e-0.4t  centimeters per year.…

Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

A:

Q: A factory can produce R rugs a month based on the function R(n) 4n2 – 7n +58, where n is the number…

A: Consider the given function of number of rugs: Rn=4n2-7n+58 Where, nx=15x+20x Rate change in rugs is…

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

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Q: B. Find the indicated derivative. (15 pts) -4 y =;y(3) 2. x2 – 4y2 = 5; y" x2 -

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Q: II. Find the first, second and third derivative of the function s = 3(8t" – 7)"

A: s = 3(8t4-7)4

Q: Find the second derivative. 1 h(x) = x2 %3D | h"(x) = %3D

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Q: An evergreen nursery usually sells a certain shrub after 8 years of growth and shaping. dh The…

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Q: (2+3t2 3x2 dx 1+ x3 6. Find the derivative of the function F(t) = 2-3t2

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Q: 3e* Find the first derivative: f(x) = x (x+1)

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Q: Find the function with derivative f'(x) = e8 that passes through the point P= (0,7/8).

A: We are given a diierentrial equatrion[f'(x)=e8x ] and a pssing point (0, 7/8) of the same  we need…

Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: 6. Find the second derivative, f"(x). (6) = f(x)

A: To find  The second derivative of f(x).

Q: Q18. The marginal propensity to consume (in billins of nupees) is = = 0.6 + d: 0.5 dx 2r1/2 when…

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Q: 3.3 Find the derivative. y = 3x°e* %3D y' = II

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: A linear model of the spread of an epidemic in a community of 1000 people is the equation: dx/dt =…

A: To find the number of people x(t) who have contracted the disease at the time oftime t.

Q: Compute the derivative: d x4 – 4 dx \ x2 – 5 lz=D3 The derivative is:

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Q: 50 Find the derivative of ƒ (t) = (3t³ – 6t2 + 11 )".

A: Explanation: Given that: ft=3t3-6t2+1150 Concept used: dxndx=nxn-1

Q: 2) Find the derivative of the function. T(r) = ar² + 2e" + n². %3D

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Q: Ql findthe Partal derivativescfirsfand WaltxyZ Second) -W-SinczTメ+-32 Zーメーー -2-Ln(X+24+ろ)…

A: according to our guidelines we can answer only three subparts  and rest can be reposted.

Q: 8) f(x)= T+x²

A:

Q: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I…

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Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

Q: x +2 1. Determine the value of f- -dx using method of substitution 2 1X +4 x+7

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Q: 10. Solve for the derivative of y IMPLICITLY 22 + Væ³ + 2y= y²

A: Note: According to our expert guidelines only first individual question is to be answered, kindly…

Q: Q.4 Suppose that electricity is draining from a capacitor at a rate that is proportional to the…

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Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected…

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Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: f(x) = 4e−2xsin(x2) 1. What is the first derivative of the equation? 2. Find f′(−1) manually.

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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: Find the derivative of the function. h(s) = −2√(5s2 + 3)

A: the given function is: hs=-25s2+3 we have to find the derivative of the given function.

Q: Find the values of x for which y is increasing most rapidly or decreasing most rapidly. 112 Let y =…

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Q: f(x) = √√/5x+8 What is the derivative of f(x)?

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Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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Q: 6. Find the second derivative of the function. f(P) = v1– 2P7 eC-2P

A: Some derivative formulas: ddx(fg)=fg'+gf'ddxfg=gf'-g'fg2ddx(a)=0ddx(xn)=nxn-1

Q: Find the function with derivative f'(x) = e7¤ that passes through the point P = (0, 6/7).

A: Given that f'(x) = e7x and we find function that passes through point (0,6/7). We know that f'(x) is…

Q: 6. Q/ Find the derivative of R(z) = 1 8z4

A: Given equation :

Q: A factory is discharging pollutants at a rate of R(t)=120 gal/day. Using enzymes and other remedies,…

A: Given- A factory is discharging pollutants at a rate of Rt = 120 gal/day. Using enzymes and other…