Find the derivative of the function. 6x fox u g(x) = u² - 1 3x u² + 1 du 6x 0 6x • LC² (u) du = [, (u) du + [th r(u) du] 3x Hint:

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Q: dy dx y = 8 log 5x Find dy dx || (Simplify your answer.)

A: Given; y=8log5x.

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A: As per the rules of the company we are supposed to answer the first question and rest can be…

Q: X=-2+4cos(t) y=3+4sin(t) a circle with radius 4 with a center (-2, 3). Find the curvature at t=pi/2

A: Given: X=-2+4cos(t), y=3+4sin(t) a circle with radius 4 with a center (-2, 3) To find: curvature at…

Q: Given f(x, y) = = fx (x, y) = fy(x, y) = fxx (x, y) = fay(x, y) = − x5 + 4x²y² − 6y6, find

A: The objective is to solve the above question.

Q: The largest set on which the funtion f(x, y) = √x+y-√√x -y is continuous is A. {(x, y) - x <y<x}…

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Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: We are authorized to answer three subparts, Since you have not mentioned which part you are looking…

Q: logarithmic diffentitation use IgElcosx) find the derivative C-(₁x² +7x+Sx-³

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Q: For the following graph of a function, estimate the area under the curve in the interval [-4,0]…

A: Let the given graph has function y=f(x) So Area under curve on [-4,0] will be ∫-40f(x)dx   We have…

Q: Consider the following. y = 4x³ - 24x² + 9 (a) Find the critical values of the function. (Enter your…

A: Please see the below picture for detailed solution.

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D = (5/9)t2,…

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A: Given that p(θ)=11θ

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Q: Evaluate the following indefinite integral fx-¹5/4 dx = = +C

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function…

A: The given graph is:

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Q: The differential equation du = -5y is a linear differential equation. dr Convert the equation to…

A: Given the differential equation : dydx=−5y

Q: You have been given the following differential, equations? which of them linear? na are 2 d²y dx²…

A: The objective is to find the correct option.

Q: This is differentials Equation subject... please help me about this one: PLEASE ANSWER THE TWO…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: The function f(x,y) = 4xy has an absolute maximum value and absolute minimum value subject to the…

A: maximum value is =484 minimum value is =-44

Q: Compute the indicated derivative using the chain rule. dy x = 1 t/5, y = 9t 1; - dx dy dx -

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Q: 11 Find the derivative off with respect to x of f(x) = In x¹¹. 11 The derivative off with respect to…

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

Q: Find f'(x). f(x) = 6x² - 4 ex f'(x) = (Type an exact answer in terms of e.)

A: NOTE: Refresh your page if you can't see any equations. . the given function is

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Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: The length of a rectangle is increasing at a rate of 3 cm/sand its width is increasing at a rate of…

Q: 1. Find the derivative of each of the following functions. a) f(x) = 2xe³x-1 b) y = 24x+1 d) y = 2…

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Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

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Q: 4. In what direction(s) is the directional derivative of f(x, y) = xy + x² at P(2, 3) equal to 0?

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Q: Suppose that a patient receives an injection 9 mg of a certain drug and that 60% of the drug is…

A: It is given that The initial amount of drug intake=9 mg60% of the drug metabolize each day

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Q: Find an equation of the level curve of the function h(x, y) = 3 – x² - y² that passes through the…

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Q: The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) -x² 4 , and this…

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Q: Find the average value of f(x) = Provide your answer below: -x+3 x3 Submit an exact answer using…

A: Use the formula for average value

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Q: Find a particular solution to the differential equation y" - 1y' + 0y = -650 sin(5t) Answer: y(t)=…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given query is to find critical numbers.

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Q: 3 Find the differential dy of the function y = 4x ³ Select one: O a. 12 O b. O c. 3 5 O e. 3 5² X X…

A: We can find the differential and hence the correct option in the below steps.

Q: Use partial fractions to evaluate the integral. 2x²-1 (4x− 1)(x² +1) S dx

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Q: aluate the integral: 25-x2 12x² is correct for this integral? √ √ 25 ▶ Which trig substitution Ox =…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x³ - 2x² - 4x + 5, [-1,…

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Q: (x)=4(10x7−9x4)14   find derevative

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Q: Let h(x, y) = 3 ln (16y² - 12x).

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Q: A firm can produce 200 units per week. If its total cost function is C = 200+ 1400x dollars and its…

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Q: Find a particular solution to the differential equation y" - 1y' + 0y=-650 sin(5t) Answer: y(t)=…

A: The given differential equation is: y''-1y'+0y=-650sin5t So, we can also write as:…

Q: Find the indicated derivative. f'(x) if f(x)=2x+ 5X 5 The derivative of the function f(x) = 2x + X…

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