Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane x+2y+4z=8.

Q: You have been given the following differential equation: _d²y/dx³) − 4(dy/dx) - 12y = 0 The…

A: NOTE: Refresh your page if you can't see any equations..The given DE is,It is given that, two…

Q: We have In (10-x) = C-1 Σ 10 n=0 +7+1 10^(n + 1) =C- In order to find C, we let x = 0 and get f(0) -…

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Q: Find the Jacobian of the a(x, y) a(r, 0) transformation. 4e-3r sin (20), y = e³r cos(20) X =

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Q: Find PQ. PQ = ___, ___, ___ = ___, i+ ___, j+ ___ k b. Find the magnitude of PQ. The magnitude of…

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Q: Determine whether the following statements are true or false. Give a brief explanation. (a) If f(x)…

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Q: Find the missing side length and angles of △ABC given that m∠C=118∘, a=7, and b=10

A: m∠C=118∘a=7b=10Find the missing side length and angles of triangle △ABC

Q: Two forces, with magnitudes 200 N and 50 N, act on an object at 90° to one another. Determine the…

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Q: 3(a)Simplify the trigonometric expression          tan(u)+cot(u)=? (b)Simplify and write the…

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Q: 5) Find the length of the polar 3π curve r(0) = -2 cos 0 where 0 runs from to 2

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Q: evaluate the following 3 Sim хусо х X b) lim e^ е X7-00 C) Sim x3 X700 3x+1

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Q: A division of Ditton Industries manufactures a deluxe toaster oven. The daily marginal profit…

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Q: please do the second one

A: Using integration, we can find the required area.

Q: Use the given transformation to evaluate the integral. JJ (15x+10y) dA, where R is the parallelogram…

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Q: y" + 3xy' + x²y = 0

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Q: Find the value(s) of t so that the tangent line to the given curve contains the given point. r(t)…

A: Using concept of derivatives and tangent line, we can solve the question.

Q: Use polar coordinates to find the volume of the solid under the paraboloid z=4-2² - y² and above the…

A: The solution is shown in step-2

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: By using the shell method to set up and to evaluate the integral that gives the volume of the solid…

Q: Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

A: n = 4The trapezoidal rule for approximating is:The Simpson's rule for approximating is:

Q: Find power series solutions (around x = 0) for the following differential equation: y" + 2xy'- 2y =…

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Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

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Q: 1. Construct a table of values to draw the following parametrization. Your table must include at…

A: Construct a table of values to drawn the following parametrization. your table must include at least…

Q: Balwyn High School is planning to establish a Balwyn Island Theme Park. One of the attractions will…

A: Using concepts of limit and continuity, we can solve the question.

Q: Consider the function f(x) = 12x³ + 15x¹ - 240x³ + 4. f(x) has inflection points at (reading from…

A: The solution is shown in step-2

Q: D The region D above lies between the two red lines and 2 the red parabola y = ². It can be…

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Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: g(x) = (x+3)/(x²-9)

Q: A company produces a special new type of TV. The company has fixed costs of $467,000, and it costs…

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Q: Give a geometric description of the following set of points. x² + y² +z²-14x + 4y -16z+53 = 0 Select…

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Q: A baseball, hit 2.5 feet above the ground, leaves the bat at an angle of 54° and is caught by an…

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Q: Find the absolute maximum and minimum values of the function, subject to the given constraints.…

A: The solution is shown in step-2

Q: A new series of tests is carried out and the equation modified to  y"+2y+5=0 y`(0)=0 y=20 t=0…

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Q: If f(x) = 12x² – x³, what is the rate of change of f'(x) at (1, 11)? -

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Q: Which of the following transformation statements is not true about the transformation from y = cos y…

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Q: Find the radius and interval of convergency of the power series W! (-1)" (2x - 1)" n5n

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Q: List the first five terms of the sequence. (-1)^-1 no T 2₂ N a3 पं as II 11 11 II =

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Q: Evaluate. (Be sure to check by differentiating!) √3+4x² 8 + 4x dx, x# - 2

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Q: ƒ(x) = x(3x + 1)5

A: The given function is

Q: Consider a triangle with vertices O, A and B, where O is the origin, OA-√3i+j and…

A: Consider a triangle with vertices O, A and B, where O is the origin,  and .(a) To show that triangle…

Q: f'(x) = f"(x) = (x) and (b) Graph f(x), f'(x), and f"(x) with a graphing utility. y 150 -5 100 50…

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Q: 5 13 12 Ꮎ

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Q: Use the shell method to find the volume of the solid generated by revolving the plane region about…

A: To find the volume of the solid generated by revolving the plane region bounded by the curves  and…

Q: 7. Find the interval of convergence: (x-1)" a) n=1 2"

A: Since you have posted multiple questions I can do first question as per our company guidelines,…

Q: A graphing calculator is recommended. Use Newton's method to find all solutions of the equation…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: can you answer the other one 10 root t

A: The solution is shown in step-2

Q: Create an equation to which the following solutions apply: (5x) y = ecos(- 9x) and y = esin(- 9x) In…

A: The solution is shown in step-2

Q: 30 20 10 -10 2 4 5 6 X When is it slowing down? (Enter your answer using interval notation.) (3,6) 3…

A: By graph, we get that Curve of velocity v is going up side from x=3 to x=6So,the interval of…

Q: Write the equation of a hyperbola that meets the following conditions. Foci: (0, -6), (0, 6);…

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Q: A motorboat take 3 take to travel 144 kilometers going upstream. The return trip takes 2 hours going…

A: The solution is shown in step-2

Q: Suppose that f(x, y) = e/y on the domain D = {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤ y³}. D Then the double…

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Q: 4 0001 0 0001 2000

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Q: The Equations for the asymptotes for a hyperbola with a vertical transverse axis are given by:…

A: asymptotes of the hyperbola with a vertical transverse axis.