Find a polar equation in the form r= f(θ) of the hyperbola with eccentricity e= 4 such that one of its foci is the pole and the nearest vertex to the pole has polar coordinates (2,0).

Q: The integral expression J xcos (2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: Antiderivative of a Function 13. S(3x - 6) dx 14. S(t - 6)(t² + 6t + 36) dt 15. S(2r + 5)" dx

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Q: 1. f(x) = Find a). domain of f, b). f'(x) and the critical numbers, c). the absolute maximum and…

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Q: The coefficient of Sin(x) in the antiderivative of F(x) =| cos is 17/16

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Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

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Q: Find Maclaurin Series)

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Q: Find the points on the the polar curve r = 4 cos 0 where the tangent line is horizontal.

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Q: Rand your an swer to the neullse thousandths. Whad yalve oftwll U:lil!1!

A: To find the value of t when the function value is 1111.

Q: the length of a parametric curve: x = 2t + 1 ; y = t2 - 3 ;  0 < t < 5

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Q: Evaluate: Ssin(/x)dx A 2x sin(/x)-2cos(Vx)+C B 2/x sin(x)+2cos(x)+C 2sin(x)+2/xcos(/x)+ C D…

A: Using substitution and integration by parts,

Q: dy 1. Evaluate the dx for parametric equations x = 2t? – 4t and y = t2 – 2 with respect ot the…

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Q: 4. Find the general equation of the plane passes through the points (3,2,1) and (3,1,–5), and is…

A: We have to find the plane equation

Q: You are designing a dome house in the shape of a hemisphere with a 60.0 ft outside diameter. (Round…

A: Note: According to policy of our company we will solve the first 3 sun questions. If you need the…

Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: get a The curve above is the graph of a degree 3 polynomial. It goes through the point (5, –6.3).…

A: Solve the following

Q: SAQ 2: If f(x) = then using the table of values show that lim f(x) does exist %3D X-1 and find the…

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Q: The integral expression J xcos²(2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: The r.m.s. value of f(t) = t² across [1,4] is %3D

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Q: A particle travels along the -axis such that its velocity is given by v(t) = t²2.³ sin (t – 1). Find…

A: To find all the times when the speed of the particle is equal to 5 on the interval 0≤t≤5. Given…

Q: Obtain the derivatives (as specified) of the following functions: EDIFICE 191 a) cos(xy)=2y, find y'…

A: To find the derivative of given function.

Q: Sxcos°(2x)dx, Sudv=uv- Svdu, Let UV- ntegral expression can be evaluated using integration by parts…

A: We will find the integral and then the value of f(x).

Q: • Sl-+2u* + uP)du No appropriate Match Question 6 o S(-uP-2u7 - P)au Match the integral expression…

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Q: Let F(x) = f(x) + g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“. Determine the value…

A: Given problem:- Let F(x) = f(x) + g(x)ex + h(x)e2x + C be the antiderivative of G(x) = (x + ex )2…

Q: on 2 Determine the radius of convergence, R, of the following power series. Remember the radius of…

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Q: Tank # 1 initially holds 50 gals of brine with a concentration of 1 lb/gal, while Tank # 2 initially…

A: The working principle here will be Rate of change of salt=Inflow of salt-outflow of salt. The amount…

Q: п Sn = Ef=o (;) 5. 100 4.

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Q: e component form of u + v given the lengths of u and v and the angles that u and v make with 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: Find the exact length of the curve. y = In(cos(x)), 0 s xs- TO 6. Need Help? Read It

A: Given problem:- Find the exact length of the curve.   y = In(cos(x)),   [0, π/6]

Q: "MAXIMA AND MINIMA" Water is running out of a conical funnel at the rate of 1 in3/ sec. If the…

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Q: Differentiate the function: a) f(x) = e10z–2» = el003-2x b) f(x) = Vª + 2 c) f(x) = (4x7 – 2x*)5

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Q: Write an expression, of the type A log(x • B), for the transformed logarithmic function shown below:…

A: Given query is to find the function for indicated graph

Q: Use the Ratio Test to determine the radius of convergence of 8. x" Vn- 97 Then determine whether the…

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Q: mp must make an angi must a 15-foot ramp make with the ground to reach the same window? 30° 16° O…

A: Given query is to find indicated angle.

Q: Match the integral expression on the left to an equa expression on the right. Ssin(əxisin(4x)dx…

A: In the first and third integral....minus sign will not come in the answer expression...as I have…

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

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Q: Let y = 5/T. Find the change in y, Ay when a = 5 and Ax 0.1 Find the differential dy when I 5 and dæ…

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Q: Using two or more complete sentences, describe how you can find a vector parallel to 6 = (-3,2).

A: This question can be solved using the concept of parallel vectors.

Q: Prompts Ssin(3x)sin(4x)dx

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Q: Beth bought 15 tickets to a movie, where adult tickets cost $6.00 and senior citizen tickets cost…

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Q: The area of a healing wound is given by A = ar². The radius is decreasing at the rate of 4…

A: Given query is to find the rate of change of area.

Q: (-3, 5). (3, 5) 4 -4 4 2

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Q: 2 Let f (a) - >-4. (a) Find f (z), the inverse of f(z). (b) Determine the domain and range of f(z).

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Q: Q8. The general solution of the differential equation dy x-1 %3D -2 is dx y+2' Y #

A: Given query is to find the solution of the differential equation.

Q: Evaluate: /sin(Vx)dx A 2/x sin(Vx) +2cos(/x)+ C B 2sin(Vx)+2/xcos(x)+ C None of the given Choices O…

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Q: Differentiate. 2x y = 7 - cot(x)

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Q: A cylindrical can is to be made to hold 1 L of oil. Find the dimensions (in cms) that will minimize…

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Q: 29. Solve (x3 + y³)dy+ x²y dx = 0. %3|

A: Given problem:- Solve (x3+y3) dy +x2 y dx=0

Q: What is 56÷4

A: 56 divided by 4=14

Q: The world population was 6.9 billion at the end of 2010 and is predicted to reach 9 billion by the…

A: a) Given:      The world initial population P0=6.9 billion        Predicted population          P=9…