Convert the Cartesian coordinate (-1,-5) to polar coordinates, 0 <0 < 2π r = Enter exact value. 0 =

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-6x, n = 3

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Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

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Q: Evaluate • fff ²² e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y²…

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A: The given differential equation is; y''-y'-2y=0, y(0)=0, y'(0)=1

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A: Given:- u→=2,v→=5,θ=30°

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Q: 9) What is the monthly payment for a 170,000 at 7.25: per annum ) mortgage of amortized for 20 years

A: NOTE: Refresh your page if you can't see any equations. . here we have L=170000 (loan amount)…

Q: Fundamental Theorem of Calculus to find the "area under curve" of y=−x2+9x betweenx=3 and x=7. In…

A: Given query is to find the area under the curve.

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Q: Question 33 The demand curve for a certain product is given by p(q) = 551-q^2. The supply curve…

A: The demand curve for a certain product is given by pq=551-q2. The supply curve is given by pq=1.3q2.…

Q: Use Green's Theorem to evaluate √x + 4y, 2x + √ÿ) e fF. dr F = √ √√√x + 4 F. dr, where and C…

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Q: Given r= 1 and r = √2 cos 0 Find all the intersection points of the following curves.

A: Given           r=1    ..........(1)           r=2 cos θ  ..........(2)   Equating equations (1) and…

Q: 3 A curve is given parametrically by y = 2t 2, x = t²-1. The area between the curve and the x-axis…

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Q: Convert the point (p, 0, 6) = (1, 57, 57) te 6 6 expressions, or decimals to at least one decimal…

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Q: Find the c value that satisfies the Mean Value Theorem. f(x) = 3 + √√x on the interval [0,4]

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Q: Find the length of the curve (t) = (4 cos(5t), 4 sin(5t), 5t) for -3 ≤ t ≤9 Give your answer to two…

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Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Given u = (-2,-3,0) and v= (1, 2, 1), (a) Find 3u + 2v (b) Find 13u + 2v| (c) Find the unit vector…

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Q: Determine which of the following is the particular solution for the differential equation (D² - 3D +…

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Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √√√y+3 lim (x,y)→(9,6) x-y-3 x+y+3 C

A: Part 1,Given,           limx,y→2,24-x-yx+y-2

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Q: Inverse laplace 7/(s^2+7s+16)

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Q: Use a finite approximation to estimate the area under the graph of the given function on f(x) = -1/2…

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Q: 19 5-2 3s+5 + н 85

A: To find the inverse Laplace transform.

Q: Use the Alternating series Test, if applicable to determine the convergence or divergence of the…

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Q: A new car lists for $18,600 and depreciates by 25% per year. Find its value after the following…

A: NOTE: Refresh your page if you can't see any equations. . the initial value of the car is a=18600…

Q: A curve is given parametrically by=et 2e-t, y = e2t. The tangent t the curve at t = ln 2 is...? a)…

A: Given x = et - 2e-ty = e2tat t = ln2

Q: Calculate the 4th derivative of y = xe*

A: Given query is to find 4th derivative

Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96…

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Q: Given vectors u = (7,-4) and v = (-8, -7), find u v.

A: The given vectors u=7, -4 and v=-8, -7. We have to find the value of u·v.

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A: We have to find the following conditions according to the given information

Q: For the function f(x) = x³ – 7x – 6, write Newton's formula as Xn+1 = Xn solving f(x) = 0. Xn+1 =…

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Q: Evaluate the integral. [² f(x) dx where f(x) = = {} if -4 ≤ x ≤ 0 2 -x² if 0 < x≤

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Q: Evaluate > f zy³dz + z³dy, where C' is the rectangle with vertices (0,0), (6.0), (6,2), and (0,2).

A: To find:- ∮cxy5dx+x3dy Where C is the rectangle with vertices 0,0,6,0,6,2,0,2

Q: pose that f is an even function, g is odd, both are integrable on [-7, 7], and we know that S 1…

A: Topic:- application of integration

Q: Recall the following indefinite integrals for basic proper rational functions, where a and b are…

A: according to bartleby guide line we do only first part ofmultiple please re post other parts a)…

Q: Parametric Equations x=² y=2² fy slope Point t = -2

A: Givenx=1ty=t2t=-2   We are required to find the value ofdydxd2ydx2Slope

Q: 1 25 + 45+20 +20)

A: NOTE: Refresh your page if you can't see any equations. .

Q: The demand curve for a certain product is given by p(a) = 535-q^2. The supply curve is given by P(q)…

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Q: Find the equation of the line tangent to the function at the given point. y = (-2x + 6)1/2 at (1,2)

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Q: 6. Let f be a function such that f(1) = 1, ƒ′(1) = 4, ƒ”(1) = −2 and ² ƒ""(t)(2 – t)²dt = 3. Find…

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Q: 1 7 6. 5 4 3 2 1 -1 --3- -4 -6 The graph above shows the base of an object. Compute the exact value…

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A: given rate is  r(t)=1200e0.04let t=0 denotes the year  2000for 2020, t=2020-2000=20

Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: Find You do not need to simplify. dx a) y = 2x(3x + 9) (4x³ + 2x² − 8x) b) y = 3x-6 7x

A: To find dydx

Q: 7) f(x) = x(x + 3)²(x-7)4 Degree: End behavior: lim f(x) =_ x48 Leading coefficient: lim f(x) =_…

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