Determine the area outside the black graph given by r(0)=1+7cose and inside the red graph given by r(0) = 9 cose. 3 1 -1 -2 -3 -4 -5 -1 Area is

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Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

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Q: Sketch the region R whose area is given by the iterated integral. dx dy 3 3- 2- 2- 1- 3- 3 2 3…

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Q: sequential convergence Lim 3-8n h-oo n+2

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Q: Find the value of integral / (22 + y + z)ds, where C is parmeterized by 7(t) = (5 cos(2t), 5…

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Q: (x + y)ds, C : ¤ = 2t, y = – 2t + 3, for – 3 <t<0. Preview

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Q: Problem 7 Using the method of undetermined coefficients, find a particular solution yp of the…

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Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. 2i 17j…

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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: Consider the function f(x) = 4T + 3 on the interval (2, 5]. Find the average or mean slope of the…

A: use slope formula for finding the slope of f(x).and value of c

Q: Describe the graph of the equation. r = (8 - 3t) i - 14t j O It is a line in 2-space that goes…

A: Let's find.

Q: 1. Let f be a function satisfying the following properties: • continuous on R\{1} • f(0) = 0 and…

A: Solution is here

Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Determine the number at which h(x) = V16 – x² is continuous. - Determine the largest interval on…

A: h(x) = 16-x2 here in root &lt;0 is not  possible so 16 - x2&gt; 0 x &lt; 4 for this value function…

Q: Find the curve given by x = vt and y =(? – 4), t 2 0 find the slope and concavity at the point (2,…

A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? n+11 (d)…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Eliminate the constant 'a' from the equation (x – a)2 + y? = a² O (x? - 2y)dx + 2xydy = 0 O (x2 -…

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Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: The base of a three-dimensional figure is bound by the circle x² + y? = 9. Vertical cross sections…

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

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Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A: Given problem:- Use a double integral in polar coordinates to find the volume V of the solid bounded…

Q: Find the volume of the solid bounded by the graphs of the given equations.   z = xy,    z = 0,…

A: Given problem:- Find the volume of the solid bounded by the graphs of the given equations.   z = xy,…

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Q: X/2

A: We have to find ∫3x2 dx.

Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5 + 3n3…

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Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: 1. F(x) ; (3, 7), [-6, 4], (-co, 0), (-5, +∞), [-5, +∞), [10, -5) %3D x+5 2. F(x) =: (0, 1), (-1,…

A: To find the domain of the function.

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

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Q: Show that the following function is not continuous at (0,0). { 3 x2+y6, 0, , if (x, y) # (0,0); if…

A: The given function is continuous.

Q: evaruate 6 (i-1) 13. +=3

A: Open the summation for the given value  of i

Q: (a) Ratio Test: (n+1)! n=0 n+2 (b) Ratio Test: 51-n (n+ 1) n=1 5n2 – 2n +1 3n2 +n – 3 (c) Root…

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Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…

A: This question can be solved using the concept of general term of series.

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

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: Find the direction cosines and angles of u and show that cos? a + cos? B + cos? y - 1. (Round your…

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Q: Find the following indefinite integral. dt

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Q: 1 Evaluate lim Gnx x→1+ 'Inx х-1

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Q: decimal number o.11 11 Eaual ^ true O evror

A: This is a problem related to decimal points conversion into p/q form. Please follow the procedure…

Q: Determine if the sequence is increasing, and/or bounded. 3 — п (b) { (a) 1 — Зп - 3n n=1

A: Given

Q: Test the series for convergence or divergence. Eh=1 n35n (n+ 2)!

A: To test the series for convergence or divergence. ∑n=1∞ n·35nn+2!

Q: Solve the initial value problem. 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. %3D %3D

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Q: Derivatives: using (4 step rule). 1. q(t)=10 + 5t – 1? 2. s(x)= 3-x ,2 4. f(x)=sin3xcos 3x 5.…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…