Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

Q: Graph the function f(x) = log(x-3) + 1. Identify the domain, the range, and the equation of the…

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Q: To complete the process legible

A: The value of N is approximately 1.0895Explanation:Step 1:

Q: To complete the process legible

A: To prove the Second Derivative Test for a strict local maximum. We'll assume thatf:Rn→R is a…

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A: The average value of the function f(x) over the given interval is 3.Explanation:

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

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Q: The length {, width w, and height h of a box change with time. At a certain instant the dimensions…

A: Detailed solution of the problem is attached below,Feel free to comment below if you want any…

Q: Write the corresponding rectangular equation for the curve represented by the parametric equation…

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Q: Q1 The price of selling x units of item is p(x) = 56 - x. The total cost of producing a items is…

A: Question No. (1): The price of selling x units of item is . The total cost of producing x items is…

Q: lim 2xy +5yz + 3xz (x,y,z) (0,0,0) 4x2 + 25y²+9z²

A: To find:-

Q: Evaluate the definite integral 0 dx 2√√x(1±√x)2

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Q: Use a sketch to find the exact value of the following expression. tan cos 10 26 Which of the…

A: Answer:Option C. The correct triangle to find the value of the expression is Option C. Here's…

Q: A direction field for the differential equation y' x cos Ty is shown. (a) Sketch the graphs of the…

A: All the answers are in the explanation part.Explanation: To sketch the graphs of solutions that…

Q: Find all points (x,y) on the graph of f(x) = 2x² - 3x with tangent lines parallel to the line y =…

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Q: Find the following derivatives by using the product rule and/or the chain rule: (You can use the…

A: As per the Bartleby answering guidelines, answering only first question as the other questions are…

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

Q: Sketch the curve represented by the parametric equations, and write the corresponding rectangular…

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Q: X -3 = 5x² + xy² + y³, a = น y (5 points) Suppose f Compute the gradient of f at a. Vf(a) = Compute…

A: ∇f(a)=[−29−3​] The Directional derivative of f at a in the direction of v [5​29​5​−6​​] C=43…

Q: Use the One to One Property to exactly evaluate the following logarithm. The answer will be…

A: By using the one to one property to exactly evaluate the following logarithm.

Q: If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) h(1) = 5 h'(1) = -7 g(1) = 4 g'(1)…

A: Answer : -47Explanation:Note:f≡f(g(t),h(t))and   fx​≡fx​(g(t),h(t))

Q: Find f'(x). f(x)=9x²-3ex

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Q: > #11 Given z = f(x,y) = 3xy , у find the equation of the tangent plane to the graph, when x=1, y=3.

A: Equation of tangent is z=4x−34​y−2Explanation:

Q: Find the following limit. Tim 8-1X 45√x-4√x 75√x+3√x lim 8-X 45√x-4√x 75√x+3√x 勾 (Simplify your…

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Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. Find the vector equation of…

A: The whole answer is as follows: 1. Given points P, Q, and R, we aim to find the vector equation of…

Q: Find volume by revolving the region bounded by y=sin(x) and y=0 between x=0 , x=pi about the y axis…

A: To find volume by revolving the region bounded by between  about the y-axis by using shell method.

Q: 140 CHAPTER 3 Functions tab B 49. Let f(x) = (x - a)/(x + a). (a) Find f(a), f(2a), and f(3a). Is it…

A: f(a)=0f(2a)=1/3f(3a)=1/2Explanation:Hope it helps youplease ask if you gets any doubtplease give…

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

A: Correct matches are:A. 3 B. 1 C. 5 D. 4 E. 2Explanation:A.  tan⁡(arcsin⁡(x/3)) corresponds to option…

Q: C(q)=560+ 15g, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars…

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Q: 2 #12 Given f(x, y, z) = 3√ √ x²+ y²+z² (a) Find the linear approximation L(x, y, z) near the point…

A: a.) The linear approximation is L(x, y, z) = 2√2 + (-1/√2)(x + 2) + (1/√2)(z - 2)b.) The linear…

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

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Q: principle: $15,000 Interest Rate: 12% Date borrowed:May 12 Date Repaid : September 16 Time:127…

A: The principal amount is P=15000The interest rate is r=12%=0.12Given time is t=127 days.The simple…

Q: Given log x =α, logx x =ẞ, log¸x =y, log¸x = 0, and x 1, find log abcd empt left to earn the full…

A: Thus, \log_a(abcd) = 1 + \frac{1}{\beta} + \frac{1}{\gamma} + \frac{1}{\theta}.Substituting these…

Q: * x f(x) f'(x) 1 3 1 2 -1 3 3 3 3 5 -2 4 -2 4 5 4 -2 The table above gives values of f and its…

A: a)we can estimate the value of f'(1.5) to be 1.b)Why must there be a value c for 1<c<3 for…

Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to four decimal places?

A: Answer : 536.4793  (Rounded to four decimal places)Explanation: Given,  e0.006x=25 Logarithm on both…

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: Part 1: AnswerThe producer's surplus at market equilibrium for the given product is approximately…

Q: Suppose a baby food company has determined that its total revenue R for its food is given by  R =…

A: A production level of 35 thousand units will maximize revenue.Explanation:To find the production…

Q: Find the volume of revolution by rotating the region bounded by y=4^x, y=0,x=0,x=2 about the line…

A: Region is bounded by y=4x,y=0,x=0,x=2Rotating the region about y=−1Using the washer method

Q: Use the result, "the set of parametric equations for the ellipse is x=h+a cose, y=k+b sine" to find…

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Q: help

A: Ans. ) The consumer surplus at the profit maximizing point of monopoly is $16.67. Below is the…

Q: Problem #4: Suppose that the Hessian matrix of a certain quadratic form f(x, y) is 12 6 H = 6 12 (a)…

A: Please refer below page.If you have any question please feel free to ask.Explanation:

Q: The value of a car, V = f(a), in thousands of dollars, is a function of the age of the car, a, in…

A: Detailed solution of the problem is attached below.Explanation: Detailed explanation:

Q: round to one decimal plce.

A: To solve this problem, use the formulas for continuous compounding and annual compounding to…

Q: Use the graph to evaluate the limit. lim f(x) X--1 12 OA 314 OB. 0 Oc. -1 O D. 34 OE. The limit does…

A: We need to evaluate limit.

Q: Help this question

A: Therefore, the directional derivative Da​f(a) is 16.Explanation:To find the directional derivative…

Q: A = 「 ; 8

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Q: Solve the given integral equation or integro-differential equation for y(t). y' (t) +27 (t-v)y(v)…

A: The objective of the question is to solve the given integro-differential equation for y(t). The…

Q: Solve the equation. 0.006x=25

A: x=536.48Explanation:Step 1: Take the logarithm of both sides lne0.006x=ln(25) Step 2: For the left…

Q: dy Find • for the function y =23x dx

A: The objective of the question is to find the derivative of the function y = 23x with respect to x.…

Q: Solve for the variable P to two decimal places. 75,600 = Pe 0.077(6)

A: P=47631.04Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the length of the arc of the curve y = ln x over the interval: [1,4]. Round the answer to four…

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Q: 256x The volume of a sphere is increasing at a rate of 5 cm³/sec. Find the rate of change of its…

A: The volume of a sphere is increasing at a rate of 5 cm3/sec. To find the rate of change of its…