8 4 4 -7 (a) h(x) = 7X 1 -7 (b) g(x) = 7x (c) k(x) = - 7X %3D %3!

Q: 3dt 2t+8) Jt +1

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Q: Suppose that fand g are continuous and that f (x) dr = - 2 and g (x) dr=8 Find | [5f (x) +8 (x) ]dr…

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Q: (b) Use implicit differentiation to find when Sr' + ry - Se'g

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1,…

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Q: (a) How far is the boat from the marina? Round the answer to one decimal place if necessary. (b)…

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Q: Find Ay and f'(x)Ax for y = f(x) = 6x°, x = 4, and Ax = 0.06. Ay = (Round to four decimal places as…

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Q: given

A: Please refer to the image below

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

A: We need to find minimum distance.

Q: af Given f(x, y) = In(6x² + 8y²) then %3D

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Q: The equation of the line tangent to the differentiable and invertible function f(x) at the point (5,…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y= fix) 6.…

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Q: Solve the initial value problem. dv 8 t> 1, v(2) = 0 dt

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Q: Let the region R be the area enclosed by the function f(x) = Va and g(x) = x. Write an integral in…

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Q: s "(t) if s(t) = Je tl +1

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Q: For 5, Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

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Q: e*(y' – y) = 2xy?

A: Given

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 + 2.

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Q: Suppose the position of a particle is given by parametric equations x(t) = t3-2 and y(t) = 4t2. (a)…

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Q: he sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The shaded region shown below is bounded by the functions f (x) = -x2 + 0.5x + 10 and g(x) = -1.5x +…

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Q: Consider the function f(t) = 3 sec?(t) – 4t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: 2x + 5x 1. Ar + Ba + Cz² + D¤ Consider the function f(x) = An antiderivative of f(x) is F(z) where A…

A: Answer is solved in step 2 using integration.

Q: Jdx/(1-2x) = 1/2 In1-2x + C %3D Select one: O True O False S(8x + 2x) dx = 2x4 +x² %3D Select one:…

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Q: 2. A= B = 23 DA+B @ Ao+B

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Q: F(x)=x+1/x Find the Point of inflection, All asymptotes and all local maximums and minimums?

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Q: Use the following information to answer the next three questions. A model of a house was built using…

A: 2.5cm corresponds to 1m.

Q: Using Integration by parts, evaluate: ſ x³Vx³ + 1dx Your answer

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Q: 4. Given f(x) = x +-: a) Find all asymptotes and state their equations. b) Find all local max/min…

A: Find your answer below

Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: ) = sin x + cos(1+x²) – 1 ng secant method with initial guesses x, = 1.5 x1 = 2.5 each item to a…

A: To solve the problem using secant method

Q: wo boats leave a marina at the same time. The first boat travels 8 knots at a bearing of N24°E, and…

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Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: Solve the initial value problem. d?r 2 dr = 5, r(1) = 4 dt2 dt t=3

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Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

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Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

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Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. (2t +8) Jt…

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Q: 4. V40-4v-v² dv – 4v

A: This question can be solved by using the concept of some special integrals.

Q: 2 -3 sin x 2. Find + 4e*+3 dx. cos? x

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Q: 2. Find the radius of convergence and interval of convergence of the series. (a) (-1)--1 (" – 5)*+1…

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Q: Consider the following. x = t, y- In(t) (a) Eliminate the parameter to find a Cartesian equation…

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Q: #4A

A: answer is in next step

Q: Answer the following True or False, sin dt 圭 dt 0. 1 t? t cos O True O False

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Q: Exact ODE y'=-4/x; y(2)=3

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Q: Evaluate xe*dx. -3

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Q: %3D What is the slope of the function y = 3x² + 5x – 7 at (-1,-

A: Given query is to find the slope of the function.

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose by cutting equal squares out of…

Q: Here are three functions involving exponential functions: i) s(x) = = (e" – e*) $(x) iii) (x) = c(x)…

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Q: Idx/(1-2x) = 1/2 In]1 -2x + C Select one: O True O False

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Q: Suppose the position of a particle is given by parametric equations x(t) = t³-2 and y(t) = 5t2. %3D…

A: