dr Let A be the area of a circle with radius r. If dt dA when r = 5. dt 5, find 50 Question Help: Video Submit Question Jump to Answer 目 Priv

Q: Find the limit of the sequence 7 n + 2 lim Show your work. V2n+7

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y…

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Q: Find the solutions of the system of inequalities by graphing: ¤ + y 2

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 8 cos(t)i + 5 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Solve it.

Q: Performance Task A. Determine the antiderivatives of the following function. 1. S V4xdx 2. S(z +…

A: Please see the first three subparts below as directed by Bartleby.com.

Q: Determine the maximum and minimum values ​

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Q: Jse Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Solve the differential equation dy y(0) = -1. dx 3+1 There is no need to isolate y.

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Q: Compute f'(x) a.) f(x) = (x2+1)e-x^2 b.) f(x) = (4e-x-

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Q: Let A = (1,0, 2) and B = (6, -2, 3). Solve for projĄB.

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Q: Find the gradient of the function at the given point. W = x tan(y + z), (3, 7, -3) Vw(3, 7, -3) =…

A: Given;  w=x tan(y+z), (3,7,-3).

Q: The following figure shows the graphs of y = f(x) and y = g(x), together with the indicated areas. C…

A: to

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 3t e2t dt Evaluate the following integrals. 4 Зе + - 5t5/2 a dt - t3 2x cos(9 - x2) dx sin(9 – 2) -…

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Q: Find parametric equations for the lines The line through (2, 4, 5) perpendicular to the plane 3x +…

A: 1) To find the parametric equations for the lines. The required line is perpendicular to the plane…

Q: 2. A golf ball is thrown up from the surface of Planet X (a made-up planet). The position s of the…

A: s(t)=-0.6 t2 +48 tvelocity is obtained by differentiating position functionv(t)=s'(t)=-1.2…

Q: Find the volume of the solid that results when the region enclosed by the curves x = 1 – y² and æ =…

A: Let's find.

Q: In general, if f(x) is real and continuous in the interval from x to xy and f(x1) and f(xu). between…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: The integral represents the volume of a solid of revolution. 27 x³ dx (a) Identify the plane region…

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Q: A cable 20 ft long that weighs 2 Ib/ft is hanging vertically on top of a 30 ft electric pole. Find…

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Q: Let f(x) = x In(1+x*). For all æ € [-1, 1], it is known that %3D +o0 In(1+x) = £ (-1)" -xn+1 n+1 n=0…

A: Given: Now, for 7th degree Maclaurin polynomial for f will be,        ln(1+x)=∑n=06(-1)nn+1xn+1. We…

Q: Find the following derivatives a. 2 tan-(2x²) b. e-3/5 -3/5 + 2x-3/4

A: Solving the problem by finding the derivative of the below function.

Q: The following figure shows the graphs of y = f(x) and y = g(x), together with the indicated %3D %3D…

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Q: 4. A certain style of church window has the shape of a semicircle atop a rectangle so that the…

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Q: sin t = (eit – e-i#)

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Q: Find the y-intercept and x-intercept of the linear inequalities then graph the system. 1.2х + 3у >…

A: I am attaching image so that you understand each and every step.

Q: 4y" – 0 +12y' + 9y - 0 e. f. y" – 6y' + 9y – 0

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Q: 3x3/2 2е + dx

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Q: y" +y = 0, y(7/3) = 2, y(T/3) = -4. = -4.

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: Here ,              We have given a vector valued function now we have to determine the intervals on…

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: Perfo Determine the antiderivatives of the following 1. S sec24x dx 2. S(tanx - 1)2²dx dx 3. S;…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(5t). lim (e2i + 5t +…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: We have to find volume of solid formed by rotating the given equations about X - axis.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Given problem:- Use the cylindrical shell method to calculate the exact volume of the solid formed…

Q: 1. S v2x – x² dx 1+x2 2. S* dx 1+x3 3. SV1+ v1+x dx 4. Set up only the integral(s) that will compute…

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Q: У(у - 9) dy у3 — 216 6.

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Q: Question Find the determinant of the given system of equations using any appropriate method. a+ 3b -…

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Q: Use the comparison test to verify that the following series converges: 1 Σ n=15+n7

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Q: Explain why the integral is improper. dx 3 2.5 2 y 1.5 0.5 8 At least one of the limits of…

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Q: Solve the following dy 1. xy = 2y2 - x2

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Q: A. Solve the following and show your solution. 1. Use the definition of Fibonacci numbers to find…

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Q: Let f(x) = x In(1+x*). For all x E [-1, 1], it is known that (-1)" In(1+x) = -xn+1 %3D n+1 n=0 1.…

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Q: Let 22-4z+4 f(x) = I-1 Find the derivative using appropriate rules of differentiation.

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Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given problem:- Find the domain of the vector-valued function. (Enter your answer using interval…

Q: Q1/ a) Sketch the graph of y = sin2x for 0 <x SI %3D b) find the total area bounded by the curve and…

A: This is a problem related to calculating area under curve of the polar equation. Based on the…