Convert the polar equation r² = 2tan 0 to a Cartesian equation. x3 + y3 = 2 y x3 + xy² = 2 y x² + y² = 2 y

Q: b. g = f(t, v) = tv, t = In m v = m %3|

A: Given g=tv, t=ln(m) and v=m6

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: If f(x, y) 3x+7y af then is given by: (3x–7y) 21y (За — 7у)? 21y (3x–7y)² - 42y (За — 7у)2 42y…

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Q: If the slope of the tangent to f(x)= a(x-1) + bx at the point (2, determine the values of the…

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Q: Convert the polar coordinates (4, 315) to Cartesian coordinates. (2√3, -2) (2√2, -2√2) (2, -2√3)

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Q: Let F= (2xy +z?,x?, 2xz) and let C be the circle r(t) = (2 cos t,6 cos t,3 sin t), for 0sts 2a.…

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Q: Select the answer option that corresponds with polar coordinates (2, 90\degree). 90° 2 WIN 135° 4…

A: This question is related to Coordinate systems, we will solve it using given information.

Q: The equation of the line passing through the point A(-3,5) and perpendicular to 7x-9y+1=0 is: O a. y…

A: first find slope of given line we have to differentiate function with x 7 - 9dy/dx  = 0 dy/dx = 7/9…

Q: y = (1+) - (1+)*

A: We have to find dy/dx for the given function.

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Find the limit. 3x +3 lim 12x2 - 8 > Next Question

A: Given query is to find indicated limit.

Q: dx 4. S x²+4x+13

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Q: II. Given the function g defined by g(x) = -* if x*-2 4. if x=-2 Find the value of the indicated…

A: at x=-2, function is defined as:g(x)=-4;       if x=-2ANSWER 14:g(-2)=4

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given problem:- D(x) is the price, in dollars per unit, that consumers are willing to pay for x…

Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: 4. Determine the general equation of the plane containing the points P(1, –4, –5), 3 Q(2,0, 13) and…

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Q: For each of the following, solve exactly for the variable z. (a) 1 -+-. 0.3 (b) - +- 0.5

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Q: Drection: Evalate /(2) fr the gien functons. a. -2 b. -6 d. 2 4 f)=P-4 a. 3 b. 6 c. 12 d. 2

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Q: Prove or disprove. If the substitution u = f(x)dx becomes g(u)du, and if an indefinite integral of…

A: Given problem:- Prove or disprove. If the substitution u = Ø(x) is such that f(x) dx becomes g(u)du,…

Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

A: The given integration,      ∫3x+3xdx

Q: An object is thrown. t seconds after it is thrown, its height is given by h(t) = – 16t² + 128t + 350…

A: Find your answer below

Q: Advertising You are the marketing director for a company that manufactures bodybuilding supplements…

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Q: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

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Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

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Q: For f(x,y)=2(2x2+y3)4: (a) Determine fx(x,y) . Answer: 32 (2x ? +y)²(12x + 2x² + y³) (b) Determine…

A: Given problem :-

Q: The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is…

A: Here we will find asked quantities,

Q: Find fo° f(x) dx if S2 for x 2. f(x) =

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Q: x =r +1, y=r -1 c) Find an equation of the tangent to the curve at the point corresponding to t = 1.…

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Q: nction f(x) whose second derivative is f''(x) = 7x + 3 sin(x) )) = 3 and f'(0) = 2.

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Q: USE NEWTONS METHOD.  Find the 3rd estimate of the root of f(x)=x2-sin2x-1. . Use X0=0.5.

A: We know Newton's method iteration formula. xi+1=xi-fxif'xi ; where i=0,1,2,3.....    Given:…

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. y'…

A: Given y'=2x+x4-2x5, y1=2 To find General Solution:

Q: A. Evaluate the following integrals: 3 | tan°x dx 1.

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Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: This question is based on application of derivative.

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Solve the Indefinite Integral. S sin Vædz

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Q: Use the graphing utility to plot the graphs of y = cos (x) and y = 2x. (Enter multiple functions of…

A: We will graph the functions.

Q: Find the cost function for the given marginal cost and fixed cost. marginal cost= 1/80x+40 fixed…

A: Given:        Marginal cost dCdx=180x+40         Fixed cost x=0=$8000…

Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: x=r +1, y=r -t uation of the tangent to the curve at tl Show all your work.

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Q: af If f(x, y) = (18x - y)°, then is given by: 45 | 11 45 9. - 0-#(18z-유y)' 45 9. 45 O 1(18x 9. 11

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Q: Choose the point which shows the correct location for the polar coordinate (2, 120°). 90° WIN 135°…

A: Given

Q: h(x)=x³ – 4x² – 9x+7, h(2)

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Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: The x-intercept of f(x)=V2x+4 is: O a. There is no x-intercept O b. (4,0) O c. None O d. (-2,0) O e.…

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Q: If y = 5u² + 1; u= 2 , find dy %3D do O 21 O 20 O 11 O 10

A: Given : y=5u2+1 ; u=2x   To Find : dydx

Q: . Identify and sketch the graph of the following equations (a) a2 + 2y? + z² – 8x + 12y – 2z + 35 =…

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Q: Write the integral in terms of u and du. Then evaluate. (8x + 19)-2 dx, u = 8x + 19 (Use symbolic…

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Q: the area of the region enclosed by y = 2 – x´ and y = -x, identify the "a" and "b"

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Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Here, the given functions are: D(x)=100x, S(x)=x