Set A: Problem # 6 Fnd the eaquation of the line tangent to FG) = cos?x- sin*G) sin ) at

Q: What are intervals of concavity of the function f(x) = -2x³ – 6x? – 6x² - 3? Concave upward on (-o,…

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Q: 6 I invest a sum of money at a nominal rate of 6% per year. Find the effective yearly interest rate…

A: Given query is to find effective interest rate.

Q: ley'z ds, Cis the line segment from (3, 1, 2) to (1, 2, 5)

A: Given ∫c y2z ds Where c is the line segment from (3,1,2) to (1,2,5) Parameterize the line  r(t) =…

Q: 24 – 49 dy 2+ 49

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Q: 1. For each of the following, find where the curves intersect, draw a sketch of the region, and…

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Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

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Q: FInd the x-intercept of the plane 2x+5y+z=10

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Q: I. Evaluate each of the following iterated integrals. clnx 2.

A: The objective is to evaluate the interated integral.

Q: (-) Suppose the following expression gives us how much a certain investment accou worths after some…

A: Topic-:- compund interest

Q: Find the slope of the tangent line to the r=2-3cos 0 in polar coordinate at 0 =

A: Given:-r=2-3cosθdrdθ=3sinθTo convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y)…

Q: Prove the following identity: 1- tan? e cos 20 = sec e

A: solution:-cos2θ=1-tan2θsec2θ RHS=1-tan2θsec2θ        =1-sinθcosθ21cosθ2,      ∴tanθ=sinθcosθ &…

Q: 2x e dx 4e2a –8e* +5 -

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Q: csc(cot a)+cos? a sin? x dx

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Q: 2x-9x+2= 4x-13

A: Given query is to find the value of x.

Q: Change the Cartesian integral into an equivalent polar integral. 3 0-x SS (P+y?) dy dx = J JO dr de…

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

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Q: 0:32:4 Consider the solid obtained by rotating the region bounded by the given curves about the…

A: Given problem:- Consider the solid obtained by rotating the region bounded by the given curves about…

Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

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Q: 1. For each of the following, find where the curves intersect, draw a sketch of the region, and…

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Q: The area bounded by the curve y = 6(1 --), the lines x = 0 and y = 0 revolves around y = 0. Answer…

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

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Q: dz Draw a dependency diagram and write a chain rule formula for and given the functions below. z=…

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Q: Find the arclength of r = (1+sin(2θ))^(1/2) for 0 <= θ <= π

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Q: nt Use the model A Pe" or A P where A is the future value of P dollars invested at interest %3D…

A: Let's find.

Q: Use Shell Method only Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: Triangle BAC is a 30°°-60°°-90°° right triangle. 600 30° A C If BC = 15, what is the measure of AC?…

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Q: Let B be the sphere x2 + y? + z? = 1. The volume of the portion of B contained in the first octant…

A: Here, the sphere is x2+y2+z2=1 to find the volume formula for the spherical coordinates of it in the…

Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, -25, .. Determine the sequence's…

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Q: - «) lim (2 – ez x→0

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Q: 4 i /," x’dx using four subintervals. Calculate the trapezoid approximation of O T5 = 61.24 O T5 =…

A: Dear user, You need to find step height and using this you need to find endpoints of interval. Then…

Q: E2"x" 4η n 7. it. n=0

A: The objective is to find interval of convergence and radius of convergence.

Q: 00 (n + 18)! Σ 18!n!18" n=1

A: We have to find out the convergent test

Q: Find the equation for the line tangent to the curve 2e"y = x +y at the point (2, 0). Explain your…

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Q: Ryan is puréeing different fruits and freezing the purées in ice cube trays. He knows that the…

A: Volume of each frozen cube = 1.5 cubic inches. We have to find the volume of the kiwi fruit and then…

Q: The integral (4 – y²)²dy represents the volume of a solid. Sketch the region, rectangular element,…

A: Here, the given integral is: ∫02π(4-y2)2dy which is of the form  π(outer radius)2-(inner…

Q: 1. Using double integrals find moment of inertia about the x-axis of the area enclosed by the lines…

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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: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

A: Answer is given below

Q: 3 By using and only using function composition, show that the following function is its own inverse.…

A: The objective is to use function composition to so that the function is its own inverse.

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2) -6 -4 -2 6 -6 -4 -2 4…

A: Given query is to plot the point and find the polar coordinates.

Q: dw I. Find dw and and ду aw (whenever possible) for the following functions. - - dz 1) w = 5x*y –…

A: Let's find.

Q: Find the limits a) lim x2 - 4x + 3 x2 - 1 when x approaches 1 b) lim 6x + 100 7x2 100 when x…

A: We have to find the limit

Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

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Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

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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: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: I have stated the used formulas in the solution

Q: What is the surface area of the solid generated by revolving about the y-axis, y =1- a2, on the…

A: Surface Area of the solid generated by revolving about the y-axis ,S = ∫x=ax=b 2πx 1+dydx2 dx

Q: s of the ellipse O is

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Q: The polar coordinates of a point are given. Plot the point. (2. ) z/2 R/2 2 1 -1 2 1 R/2 2/2 -1 Find…

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 P4(x) =…

A: Solution