Solve the problem. 18) A beverage company works out a demand function for its sale of soda and finds it to be x = D(p) = 3300 - 26p, where x = the quantity of sodas sold when the price per can, in cents, is p. At what price is the revenue a maximum? Find dy/dx by implicit differentiation. 19) x1/3 - y1/3 = 1

Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: 10. Find a Maclaurin series which represents cos(x) for every real number around the point a = 0.

A: As we know the Maclaurin series;  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+fiva4!x-a4..... Where…

Q: n 1 ² Σ (sec (2 + ²) - 2 (2 + ² +)) - nxn i=1 3. Express lim as a definite integral, f(a)da.

A: This is a integration problem

Q: Choose the value of the iterated double integral 1=₁6ydxdy. 0 0-2 O -1 0 1 I 02 O None of the others

A: This question is based on double integration.

Q: Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation…

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Q: Jessica had a loan of $142,000 and made payments of $4,000 at the end of every month to settle it.…

A: In this question, we will use the compound interest formula.

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

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Q: The value of the integral is equal to: Select one: O 4 O с صرا من م من ته 3 x ²² (4x - 4y) dy dx

A: The given integral is: I=∫01∫0x4x-4ydydx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: The gradient vector of the function f defined by f(x,y)= In(1+7x² +5y²) is equal to Select one: O…

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Q: Please answer the following questions with full working out 1. Transform the given polar equations…

A: Given Problem:- Transform the given polar equations to Cartesian coordinates. Hence describe…

Q: Question ( the series ): What is the third term of 02/17 O-27 27 Select one: O None of them. n-1 Σ…

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Q: Example 2.1.7 Use by-parts integration to find the indefinite integral 1- [(log, (ar)) dr. I=

A: Integration by parts is used.

Q: After a large number of drinks, person has a blood alcohol level of 200 mg/dL (milligrams per…

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Q: Determine whether the equality is true or false [²[x² + y²³ dxdy=[["²³dy) + (²x²x) 6 6 Select one: O…

A: Select one

Q: 4. Given x = 2 cos (6) and y = 2 sin(0), for 8 € [0, π] Eliminate the parameter to find a Cartesian…

A: Here, the given parametric equation is: x=2cos(θ), y=2sin(θ), for θ∈[0,2π]

Q: Q1 (2 Let R be the region bounded by y = 0, y = x², x = 1. a) [ 1 Sketch the region R. b) Evaluate…

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Q: Which of the following is NOT a subspace of M22? O O W is the set of matrices of the form and z are…

A: Here is the answer:

Q: Sax */3 dx the answer is Blank 1 xe If you evaluate

A: To find out the integration.

Q: Determine whether yp₂(x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

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Q: Consider the function f(x, y) = y ln x - x ln y - . a Find the directional derivative of f at the…

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Q: etermine whether the work done along the path C is positive, negative, or zero. O positive O…

A: To find the work done along the path c.

Q: Is the equality true or false? Select one: True False 1 ST 8r sin 0 dr d0 = 0

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Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

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Q: What bearing and airspeed are required for a plane to fly 700 miles due north in 3.5 hours if the…

A:

Q: 9. Evaluate (2+2 +31 +3) dr by interpreting it in terms of areas.

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Q: a) Determine if the geometric series 8-1 gn+1 Σ n=1 is convergent or not, and find its sum if it is…

A: Given: ∑n=1∞8n-19n+1

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (3x²+2)³ J…

A: Given: I=∫x33x4+23dx     ...1   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Find the volume bounded by 3x+2y+z=12 bounded by x=0, y=0, z=0

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Q: If y=+*+9x²+26x+24 gấp 46 find f'(2).

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Q: Use the functions below to find the given value. f(x) = x - 2 8 g(x) = x³ (gof)(-2) =

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Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be…

A:

Q: 13.) 2 automobiles start from the point A at the same time. One travels west at 60 miles/h and the…

A: Given Velocity of one = 60 i Velocity of second = 35 j

Q: Is the equality T ["(" true or false? Select one: O True O False 8r sin 0 dr d0 = 0

A:

Q: 3) y(³) − y(¹) = cos(2x). -

A: Giveny(3)-y(1)=cos(2x)To solve differential equation:

Q: 1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. 1b) Use a…

A: By using the following substitution we can convert the Cartesian equation to polar form. x²+y²=r²…

Q: 4. Determing whether the following series are absolutely convergent, conditionally convergent, or…

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Q: Which of the following functions is symmetric about the y-axis? A.f(x) = x4 - 4 B.f(x) = x5 - 4

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Q: Identify the function that matches the graph except at x = 2. 5 4 3 2 1- -54-3 -2 -1 -1 -2 + --4 + 1…

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

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞). Find the interval(s) for which f"…

A: We have the graph of f'(x) and  we need to tell where f''(x) is >0So, f''(x)>0 when f'(x) is…

Q: Evaluate the integral 0 2 0 2-x xdydx.

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Q: (d) Determine whether the alternating series converges or diverges by using the alternating series…

A: Two tests are done.

Q: The integral ₁₁x – y dxdy is equal to: Select one: 0 O2 O None of them -2

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Q: Find the volume of the region bounded by y = √x and y = x rotated about x = -4.

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Q: A $47,500 loan was cleared in 5 years by setting up a sinking fund that was earning 3.25% compounded…

A: Let's find sinking fund deposits and interest.

Q: Evaluate: lim- A. 1 B. e C. 0 D. DNE E. ∞ →2+ [(x² − 4) (-2)]

A: We know, ln(ab)=b*ln(a)

Q: Q1 (2 Let R be the region bounded by y = 0, y = x², x = 1. a) Sketch the region R. b) Evaluate the…

A: Here, the region of integration is: y=0, y=x2,x=1

Q: Graph the function by first finding the relative extrema. 1) f(x) = x3+4x2-x-4 24 20 16 12 8 28 55 8…

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Q: 16. A man with his eye level 6 feet above the ground is standing 2 feet away from the base of a…

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