What is the rectangular equivalence to the parametric equations? x(θ)=4cosθ+2,y(θ)=2sinθ−5, where 0≤θ<2π. Drag a term into each box to correctly complete the rectangular equation.

Q: Consider the region, R, bounded above by x = -√√25-y +2 and x = y +7 and bounded below by the…

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

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Q: 3. Show that Hence find x¹ - x² + √√x X x³ = x+x==²= P - [ 2² = 2² + √² dr. X

A: We need to perform integral.

Q: Consider the region bounded by the graphs of y = x², y = 30, and x = 11 in the first quadrant. What…

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Q: Solve the problem. Find the number of units that must be produced and sold in order to yield the…

A: Revenue function , Cost function

Q: For what value of k the following piecewise defined function will be continuous? [k - 2 cos x, e4x+1…

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Q: Considering the definition of f(x) below, find lim f(x). x-5+ (If the limit does not exist, enter…

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Q: Consider the following. f(x, y) = 4y У4 2 1.² y = 3x - x² 70 D y = x (a) Express the double integral…

A: Given,  then we have to answer the following...

Q: A coroner arrives at a murder scene at 7 p.m. She finds the temperature of the body to be 87.4°F.…

A: The room temperature, =Initial temperature, =Temperature after one hour, =

Q: Find the slope of the line tangent to the curve e at point (0, 0) - sin(x + 5y)

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Q: Which option states a correct formulation of the epsilon-delta definition of the limit lim (3x² - 4)…

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Q: x²-49 X-7x²-7x 2. Evaluate lim

A: To evaluate the following limit.Note: Since the student has posted multiple questions and does not…

Q: The sales of a math performance enhancing drug are given by S(t) = 560t +1 where t is in years and…

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Q: 4. lim (9x + 1)² x→-1 In the following exercises (5-10) use direr

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 1. R is the…

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Q: Solve the given differential equation by using an appropriate substitution. dy dx -= (x + y + 6)²

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Q: (cos x - xsinx)ydy + (x cos x - 2y) dy = 0

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Q: A particle moves along a coordinate axis. Its position at time t is given by p(t) = -t³ + 2t² - t -…

A: Solution-The position function is given by,We know velocity function is given by,

Q: Calculate the area, in square units, bounded by g(x) = 4x + 8 and f(x) = x² + 19x+62 over the…

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Q: Find S10 for the arithmetic sequence 13,15,17,19,21,23,….

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Q: Find the linearization of the function ƒ (x) = = L(x) ab B (-2)x-3 X -1.1 86 -1.01 a -1.001 √a |a|…

A: The given function

Q: The half-life, T, for a particular radioactive element is 13 min. Find the decay rate of the…

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Q: Evaluate the following indefinite integral. 1-3 Do not include the constant "+C" in your answer.…

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Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (1,1) b. (41)

A: Consider the formula for the linearization for any function linearization for two variables.

Q: 13. The plane passes through D(2, 5, -4) with normal n = (2, —1, 3). Determine the Scalar Form of…

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Q: Calculate the definite integral by referring to the figure with the indicated areas. 0 0 ff(x)dx…

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Q: Convert the rectangular coordinates of each point to polar coordinates. Use degrees for 0. 5. (√3,3)…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Evaluate the following: To evaluate the limit of the expression lim(x,y) →(0,0) (xy + 1)/(x^2 + y^2…

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Q: 25. lim √√1 + 2x - √√1 - 4x X x-0018 101

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Q: 10. Use the divergence theorem to calculate surface integral Is F. ds, where F(x, y, z) = (e¹² î +…

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Q: Considering the definition of f(x) below, describe f(x) at x = 2. x²+x-1 -2x² + 2x -1 2x + 1 Select…

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Q: 2. Find the angle between the pair of planes. I 1:x+2y+3z +1=0, 2:3x +2y+z+2=0

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Q: Evaluate the integral. 2 0 X-2 -dx 2 x - 4x + 5 12-20 X-2 dx≈ x² - 4x + 5 0 (Type an integer or…

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Q: Find the domain of each of the following functions: f(x, y, z) 3x-4y+2z √9-x²-y²-2² = {(x, y, z) =…

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Q: State the domain for the function f(x) = log3(x) - 1: O (-00, 0) O (-∞0,00) O (-∞, -1) O (0,00)

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Q: Use Simpson's Rule and all the data in the following table to estimate the value of the integral S y…

A: The data of x vs y is given as x3456789y-8-5-11469

Q: Given the function f(x) = 3-5x, evaluate the number f-¹(1).

A: The given function is:

Q: Price of Perfume The monthly demand for a certain brand of perfume is given by the demand equation p…

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Q: The Laplace transform of an ODE, Y (s) has been found to be: e S 1 2 1 s² + 1 2 s² + 4 - S +3 (s −…

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Q: Which of the following is a valid formula for the instantaneous rate of change of the function f(x)…

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Q: find the area of the region Common to the Cardioid r=1+ Cos B & rs 1- Costo

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Q: What is the rectangular form of the polar equation r = 4sin(0)? Choices: x = 4sin(0), y = 0 x = 0, y…

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: dx [(x - gx)] dar [21/a>

A: To differentiate the following functions.(i) (ii)

Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: In exercises 13-15, let s be the hemisphere2 + ² + 2 = 4, with z ≥ 0, and evaluate each surface…

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Q: the

A: Solving the problem

Q: given the differential equation (cos x + 2xcos²y) dx + (6y2 - x²sin 2y) dy

A: The given differential equation is:

Q: 11. Consider the plane and the line with these equations 0 = x - y - 2z + 10 a) : a must b) Find all…

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Q: Find the volume of the solid enclosed by the surface z = x2 + xy2 and the planes z = 0, x = 0, x =…

A: The solid surface is enclosed by:- and the planes