5 – sin n Test the series for convergence or divergence. n=1

Q: 3. Find the derivative of y = sin² 3x two different ways, a. Use the product rule. b. Use a power…

A: Here is the solution:

Q: Use a graphing calculator or computer graphing software to solve the problem (correct to one decimal…

A: We have to find the absolute minimum value for the function  f(x) = x2 + 9x + 5.6  Over the interval…

Q: Use the quadratic formula to solve forx. 5x+5x-1 0 (If there is more than one solution, separate…

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Q: A particle is moving along a straight line such that the distance traveled (in feet) afte t seconds…

A: Given: s(t)=8t2+30t Recall: velocity at time tv(t)=ddt(s(t))

Q: 3. Four inhabitants of a small island return from a vacation infected by a contagious disease. The…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

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Q: dB Bln's

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Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = 11 cos(3t)i+ 11 sin(3t)j+ 7tk…

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Q: Find cos 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. cos e = 17

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Q: Determine if (6x + y^2) dx + y(2x - 3) dy = 0 is exact or not

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: p(x, y, z) 4 – x² – y²

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Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

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Q: A region bounded byf (y) = Vỹ + 1, y = 4, y = 9, and x = 1 is shown. What is the volume of the solid…

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Q: 5x2 + x + 16 dx x3 + 4x 9)

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 6) %3D

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The given parametric curve is: r(t)=cos(πt)i-ln(t)j+t-10k

Q: Use the comparison test to verify that the following series converges: 1 Σ n=1 5+n4

A: We have to check the convergence

Q: If f(0) = 0 and f'(x) E (0, 1]Vz E [0, 1] then ( red) %3D can not take values S(=)*dz

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Q: Convert the point Cr,e)f from polar to nectangular COordinates (xx) 5T 3. ब्लज( कथावक 2)(a,)

A: To convert the given point from its polar form to rectangular form

Q: Evaluate the double integral over the rectangular region R. 9xy*dA; R = {(x, y): – 1 < x < 1, - 5 <…

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = (t2 + 8t)i - 5t2j (a) r'(t) (b) r"(t) (c) r'(t) · r"(t)

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Q: Find the general antiderivative F(x) + C for the function. 126+ 3x+ f(x) = x3 O 3x4 +x2 + C 3x* +x +…

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); и %3 %3|

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Q: Sx² cos (x3 + 3) Van (x3• 3) dx + 3) Vsin (x3+ 3) dx 1)

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Q: A region bounded by f(x) = 3 - x, y = 0, and x = 1 is shown. What is the volume of the solid formed…

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Q: 5) (x3 cos 9x dx

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: 2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 +…

A: Given problem:-

Q: First four terms of the sequence n2+3 n 1+8 n are: 4 10 79 28 9 17 75 33 none 4 10 18 28 9. 17 25 33…

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Q: Find the curvature K of the curve. r(t) = 9 cos(nt)i + sin(at)j K =

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11

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Q: Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy if…

A: Here we have to determine whether the given function is continuous or not.

Q: 3. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: 1 2 1. Find the area bounded by the curve y =x² + 5, the x-axis, and the vertical lines x = 2 and x…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 Ex + 3y +z = 8 Find the normal vector, n,,…

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Q: 3. The value of a certain baseballcard (in dollars) tyears after 2015 varies according to the…

A: Given function describes value of card t years after 2015

Q: 4. So -dy Vy+1

A: To evaluate: ∫01yy3+1dy Substitute y3=u2⇒13y-23dy=2u du⇒13u4dy=2udu⇒dy=6u5du. As y→0⇒u→0, y→1⇒u→1…

Q: Use the formula k(t) ||F(t) × r"(t)|| to find k(t). ||r(t)||° r(t) = 11 cos(t)i+11 sin(t)j+6tk K(t)…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: Given the equations are y = x32 y = 6x

Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

Q: Use limits to determine all the linear asymptotes of 3r2 if I1. x² + 2x – 3'

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Q: of the curve defined by x=3t-t anc

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Q: Determine if the series converges or diverges without using the different tests discussed in Lesson…

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Q: Tutorial Exercise Evaluate the definite integral. Use the integration capabilities of a graphing…

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Q: a) Find the fifth term of the sequence 16 31 46 61 9 ' 15' 21' 27 b) Find the general term of the…

A: a. if you observe carefully, you will see that numerator and denominator of the terms of sequence…

Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

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Q: (0,0,0) (1,1,1) C2 C.

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Q: Use the ratio test to discuss the Con vergence or divergence of the seríes which s the Sum from n1to…

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