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

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Q: 5x - 4 and the a-axis over the interval 6 Find the net signed area between the graph of the function…

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

A: answer is in next step

Q: 12г3 — 9г? + 2 dr

A: LetI=∫1612x3-9x2+2dxApply the Sum RuleI=∫1612x3dx-∫169x2dx+∫162dxTake constant…

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Q: 3s + 2 4s2 + 12s + 9 3 4 + 4 stet 3 2 Option 1 Option 2 3 2 4 + tet 4 3 2 Option 3 Option 4 None of…

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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: Evaluate sin (44o) + cos (29o) using differentials. Refer to special triangles.

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? –…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

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

A: Topic-:- compund interest

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Q: 9. Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

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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 vector of length v7 in the direction of AB + AC

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Q: SIn(5 + Vr)dr Algebraic Substitution

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Q: x = -2t Given: line l1 : 3 1 – y = Z - 8 and l2 y = 2 + 2t z = 6 + 2t %3D 1. If the given lines…

A: The solution is given in the next step.

Q: Solve the equation on the interval 0 s0< 2n. 2 sin 0 + 1 =0

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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: Find the volume generated by revolvingg the area bounded by the given curve and awd lines y = x', x…

A: Volume generated by revolving the area bounded by curve  y=x3  and line x=0  and y=8 (that is 8=x3…

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

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Q: 00 Σ 3k k-2

A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on [k,∞) and…

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A: We will find the distance.

Q: Find the Taylor polynomial of order 3 generated by f at a.   ​f(x)=x2​, a=9

A: Use derivative and taylor polynomial got finding the unknown

Q: Find the average value of the function f(x): 14 over the %3D interval [1, e]. NOTE: Enter the exact…

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Q: If the graph of f(x) is then the graph of f (x) is: Select one: O none

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Q: Find the horizontal and vertical asymptotes of the graph of each function. Do not sketch the graph.…

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Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: We need to nd which set is more dispersed.

Q: az əz of Z = - у2 +х at the point (x, y)= (1, 1). 1. Find дх ду

A: We have to solve one question as per guideline Please repost other question again

Q: Two similar-looking series are given. Test each one for convergence or divergence. 3" ( a) Σ 3" (6)…

A: To test for convergence and divergence for the given series.

Q: aluate the function. Give the exact value. cos tan(V3) -1 cos(arctan( V3% = 0.5

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

Q: 1. lim yx2 —2х + 7 г2 + 4 — 1 2. lim x→-1 x2 + 7 2? - 5х — 3 3. lim т—3 4х2 — 7х - 15

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

Q: 3s 14 82-4s +8 - 3e cos 2t + 4e2" sin2t 3et cos 2t –4e2" sin2t - Option 1 O Option 2 4e2t cos 2t +…

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Q: The average value of f(x, y) over the rectangle R = {(x,y)| a<x< b, c <y <d} is 1 fave (b – a)(d –…

A: The given expression is: fave=1b-ad-c∫∫Rfx,ydA And fx,y=xy2x2+1 and R=x,y|0≤x≤1, -3≤y≤3 So, a=0,b=1…

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: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 (Use decimal…

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Q: Find the interval of convergence of the series E1 00 n=1 n8" O (-1, 1) O (-8, 8] O (-8, 8) O (-8, 8)…

A: We have to find out series

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

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Q: Evaluate the indefinite integral. for, sin( + C

A: Product Rule of integration : ∫u.v dx= u∫v dx - ∫dudx∫v dxdx .