Let h(x, y) = 3 ln (16y² - 12x).

Q: 2) 1 – xу = x — у -

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Q: Suppose that the dollar cost of producing x appliances is c(x) = 1500 + 110x -0.2x². a. Find the…

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

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A: I am answering this question.

Q: If f(t) = COS f'(t) = 1 (6t), find f'(t). Use exact values.

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Q: 2. Use implicit differentiation +2 Hiat

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Q: Consider the following total revenue function for a hammer. R = 52x 0.01x²

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Q: Evaluate the definite integral given below. Submit an exact answer. [²* ( 3x² - x²) dx

A: We need to evaluate the following definite integral ∫033x12-x14dx

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A: The coordinates of point P is given as , Rectangular coordinates = x,y,z Spherical coordinates =…

Q: Exercise 5 Continuity on an Interval Find the value(s) of k that make the function continuous over…

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Q: In Exercises 117-119, perform the indicated operations. 1 1 1 117. x" - 1 x" + 1 2n 1 (1 -) - 1 1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the shortest distance, d, from the point (12, 0, -8) to the plane x+y+z= 8. d = Need Help? X…

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Q: If ƒ(x) = 2x²¹— 7x + 6, find f'(-4). = Use this to find the equation of the tangent line to the…

A: we need to find the derivative of fx=2x2-7x+6, x=-4

Q: Given: 1. y = q cos2x+c₂ sin 2x

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Q: 9. From "First Principles" show that if f(x)= == 2 x²-3' then f'(x) = - 2x (x² - 3)²

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Q: Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana…

A: Given data:- Ariana borrowed $ 150 and agreed to pay $15 per week.

Q: 1) Given lim *²+9x x-9x+9 a) Evaluate the limit algebraically. Show all work in a clear and…

A: Here is the solution:

Q: A runner is jogging at a constant speed of 3.5 miles per hour.   a. Find the distance dd that the…

A: Given that :- Runner jogging at a constant speed 3.5 miles per hour.

Q: 2. An ellipure is defined by parametric equations follows as X= 5 sin (b) y = 7 cas (6)

A: According to bartleby guidelines for multiple question I can answer only one question. You can…

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: The graph of a function fis is shown below. Sketch the graph of the derivative f B --2 5 3 2

A: The graph of the function fx is To determine: The graph of the derivative f'x of the function fx.

Q: R(a, b) = (2b + cosa, 2a + sin b, ab) Determine the equations for the (a) tangent plane and (b) the…

A: The given surface is: R→(a, b)=2b+cos a, 2a+sin b, abGiven point is:  P=(-1, 2π, 0)

Q: Consider the indefinite integral fox³. [6x³ + 8x² + 4x + 4 x4 + 1x² Then the integrand has partial…

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Q: a. у 2 1 0 y = /4 - x X

A: The area between the curves y=4-x, y=1, x=0

Q: For the graph, which of the numbered points are inflection points? (Enter your answers as a…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: Find the vertical trace of the function z(x, y) = Z= The plane below represents the plane parallel…

A: Given data:- z(x, y)=-2x+y2 for  x=-3

Q: the answer was cut off. can you please send it again?

A: Given,

Q: Explain why Rolle's theorem does not apply to the function even though there exist a and b such that…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find dx if y=e²x⁹ 1) dy=9e² dx 2) dy dx 3) dy=2x²e²r³-1 dx 12,9 4) dy=18x³ In (2⁹ dx 5) dy=18x³²x⁹…

A: Topic- Derivative of a function We are giveny=e2x9and we know thatddxef(x)=ef(x)f'(x)ddxx9=9x8

Q: A radioactive substance has a half-life of 1620 years. (A) If its mass is now 6.8 grams, how much…

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

A: Given query is to find the the integral after substitution.

Q: A particle moves along a line with a velocity v(t) = t-5, measured in meters per second. Find the…

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Q: Consider the following table. X 0.0 0.4 0.8 1.2 1.6 f(x) 6.9 2.0 6.5 X f(x) 6.3 2.4 f(x) dx 7.2 6.4…

A: we want to determine the integral value using mid-point rule

Q: 1. Straight lines with with slope and x-intercept equal

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Evaluate the limit lim xπ sin(x) X-T if it exists. If the limit does not exist, enter DNE.

A: Given, limx→πsin(x)x-π

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: III. Consider the function g(x) whose graph is shown below. The domain and range of g(x) are 49 R…

A: Given   1. The graph of function gx   2. List of points

Q: x²+9x X-9 x+9 1) Given lim a) Evaluate the limit algebraically. Show all work in a clear and…

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Q: Find the inverse transform of the given function of s. F(s) = B A -u²₂ (1) - 3s e D E S Ⓒ u ₂ (1) 3…

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Q: The graph of fis shown below. For which values of x is f'(x) zero? Select one: O b. 6 e. 4 2 a. x =…

A: Given   The graph of fx

Q: 2. a) Determine the coordinates of all point(s) on the graph of y = 2x lnx where the tangent line is…

A: Part_a_ Determine the coordinates of all point(s) on the graph of y=2xlnx where the tangent line is…

Q: Find an equation of the tangent line to the graph of y=9* at the point (-1,9). 01) y=9_(x+1) 9 9 ○…

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Q: 1. f(x)= 3x - 4; ƒf¯¹(x) = -2 2. g(x) = 5x + 12; g(x) = 57 3. h(x) = 4x² + 4x + 3;h(x) = 0

A: Since you have posted multiple subparts question in this question which are not interlinked so i…

Q: Find the inverse transform of the given function of s. F(s) A f(t)=354-736- 11 B -45²-6 s+4Xs+6XS-7)…

A: A detailed solution is given below.

Q: Maximum Area An animal shelter has 128 feet of fencing to enclose two adjacent rectangular playpen…

A: Given perimeter of two rectangular fence is 128 feet. That is x+x+x+x+y+y+y=128 That is 4x+3y=128…

Q: e. (d²y dx² - 3x d²y dy dx² + = sin x dx

A: Given d2ydx23-3xd2ydx2+dydx=sinx

Q: Find the derivative of the function y=In{x√x² +11). O 1) 1 0 21 O 3) O4) 1 -+ x √√x² +11 X x+√√x² +a…

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Q: 3.xy=1+ cx

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Q: 1. Consider the differential equation 4 dt Sketch the direction field and several graphs of…

A: The given differential equation is: dydt=2-y2y2