1 (s+1)(s2 +1) + cos t - sin t) + cos t – sin t) O Option 4 O Option 2 5(e-cost + sin t) 5(-e+cos t + sin t) 2 Option 1 Option 3 1

Q: The interval of convergence of the series 41+2n (x+3)" is - -- 5n+1 16 16 Select one: O True O False

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Q: A supermarket sells two brands of coffee: brand A at $p per pound and brandB at $q per pound. The…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = x² and…

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Q: 1 3. Let f(r, y, z) = Show that Va? + y? + z²° frz + fyy + fz: = 0.

A: answer is in next step

Q: (a) Solve the equation on the given interval, expressing the solution for x in terms of inverse…

A: Let's find.

Q: f 3p2tanip dp

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Q: -2t e "(cost+3 sin t)

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Q: Find the area A of the sector shown in each figure. (a) 72° 4 A = (b) 0.5 rad 16 A=

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Q: The value of a brand new car is $16,000 and the value depreciates 18% every year. Write a function…

A: answer is in next step

Q: Use a calculator to find the approximate value of the expression. Round the answer to two decimal…

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Q: You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 2…

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Q: VI. Determine all the relative minimum and maximum values, and saddle point/s (if any) of the…

A: Given,  h(x,y)=x3-3x+3xy2

Q: Sf(x)dx = 2, f(x)dx = -5, and ſ g(x)dx = 1 . Evaluate the following 7. Suppose integrals. SF(x) +…

A: Here we have to find the given integral. I have appended the formula used in the solution part of…

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to solve above problem.

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (- 3, 4, 3), Q = (6, 6,…

A: .

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Given:-the region bounded by y=sinx, x=0 and y=1revolving about y=1using washer/disk…

Q: Convert the angle to a decimal in degrees. 78°24'17" 78°24'17" =° (Do not round until the final…

A: We have to convert an angle of 78°24'17" in degrees.    Before converting, let us see first two…

Q: 2en cos 2t s+ 2 Option 2 None of the choices 2s s2 -2 s2 -2 O Option 5 Option 3 2s s2 +4

A: Given :2eln cos2t

Q: 2) w = 2yTan(2x + y) – 3xSec(x²y³) %3D

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Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: Current Attempt in Progress Evaluate the definite integral two ways: first by a u-substitution in…

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Q: 3 lim (1+ - +72 4.

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Q: (D² + 4)y= 4 cot 2x

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: This question can be solved using the concept of unit tangent vector and length of vector curve.

Q: Find the curvature of the curve 7(t) =(- 2t, – 4t“, – 5t) at the point t = 1. Give your answer to 2…

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Q: Write the Maclaurin series for f(x) = 2x²e-8x as E Cnx". n=0 Find the first six coefficients. Co=…

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Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

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Q: 1 y = 6 2.x +

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Q: I d (Cot x) (COS X dx sin X * Sin x (-sin x)-cos x (cos x) (Sinx) (sin*x + ças* x) Sinx + Cos x )…

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Q: Find a point on the curve x' + y = 25xy other than the origin at which the tangent line is…

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Q: 3. S: 7 dy у2-8y+5

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Q: 3. Find where the curves intersect, draw a sketch of the region, and compute the volume when the…

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Q: Find the function h given h'(x) = ÷- + 2; h(1) = 0 3x x2+1

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = - 3 ex cos (yz),…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: We need to evaluate :

Q: y" + y= tanx

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Q: Find the Taylor series generated by f at x = a. 1 a = 4 f(x)= x

A: We are asked to find taylors series of the function

Q: YA x= y² – 4y (-3, 3)- x= 2y – y²

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Q: S 23x26 + 35 + x2-16 dx x-4

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Q: what

A: We will find the velocity and time

Q: Suppose z is a function of x and y, and z^xe^6y=y2+x2. Solve for ∂z/∂x and ∂z/∂y. [b]

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Q: Integrate using any applicable method. Be sure to give an exact answer. (3z+1) Enter your answer in…

A: Solve the following

Q: Problem #7: (a) Solve the initial value problem (x - 1)y' - y = 16(x - 1), (2) = 0 (b) Write the…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: According to our terms and conditions we are solving one one part. Please repost other parts again.…

Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: topic- application of derivatives

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. You must show your work.…

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Q: explain

A: We will check if the fundamental theorem of Calculus is applicable.

Q: 00 (n + 18)! Σ 18!n!18" n=1

A: We have to find out the convergent test

Q: ind the values of a and b so that the function = x + ax + b has a local maximum at the (-16,- 12).

A: We will find the value of a and b.

Q: y" + 4y= cos'x

A: Given: y"+4y=cos2x