Rewrite the Cartesian equation x = 7y as a polar equation. r(0) = Use the math palette or type theta for 0.

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: Convert thepoint (x,Y) from rectangular to polar Coordinates Cr,e). 4)(2,-2)

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Q: Find the derivative of the function described. (Rx5) 3. f (x) = (1 +x + x² + x³ )'³

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Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). r(t) = 8 cos(6t)i + 8 sin(6t)j+ 7tk K(t) =

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

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Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

A: (1) gcda,b=30=2×3×5  ...(1)gcdb, c=24=23×3    ...(2)gcda,c=54=2×33     ...(3)

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ n=7 3n2+2

A: Given that ∑n=7∞  2n+33n2+2using comperision test2n+33n2+2>2n3n2  for n≥7∑n=7∞…

Q: Find the derivative of the function described. (Rx5) 1E 32 4. f (x) = (1+x² )*²

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Q: Consider the following. u = 9i + 5j v = -8i + j + 6k Find u x v. 1li – 54j + 49k Determine if u x v…

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Q: A high-walled arena has a radius of 20 meters. Point O being the center, point A is along the…

A: Given that radius = 20 m. So, OA = OC = 20 m. Given OB = 10 m. So, BC=202+102=500=105 m.   Let, D =…

Q: Use the Mean Value Theorem in applications Question If a rock is dropped from a height of 37 ft.,…

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Q: Find T(t) and N(t) at the given point. r(t) = = 8 cos(t)i + 8 sin(t)j; t 3 T 3 N(5) = 3

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Q: 17. SHOW ALL WORK Use De Moivre's Theorem to evaluate the expression. Write the result in standard…

A: Given,              1-i4To find : Use De Moivre's theorem to evaluate the expression.We know that,…

Q: 5. y = Arctan² (x³) '2х-1 6. y = Arccos 3x+1/

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

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Q: Homogeneous or Not? State the degree of the function. 4x^2-3xy+y^2

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Q: ... * * Find the component form and magnitude of the vector v with the given initial and terminal…

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Q: Find f'"'(x), the third derivative of f, and f (x), the fourth derivative of f. f(x) = 7x* + 2x³ +…

A: In the original solution it had been shown that:  f4x=ddxf'''x=ddx168x+12=1681+0=168

Q: IM Given that > п+1 = 0.47199 determine the value of n3 n + 1 n=3 n3 n=5

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

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A: We have to check convergent of series

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: dx 7. S; x³ Vx2-4

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction V -6…

A: This is a problem related to vector calculation. Based on the general formula we will answer the…

Q: EVALUATION. Do as indicated. Write TRUE if the statement is true otherwise write FALSE. 1. The given…

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Q: Consider the following. u = (6, -1, 0) v = (-2, 3, 0) %3D %3D Find u x v. Determine ifuxv is…

A: Let's find.

Q: Find the following. = (3, 5) U = %3D (a) ||u|| (b) ||v|| (c) ||u + v||

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Q: 1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 2(у - 4x?)dx + хdу %3D 0. x²y = 2r* + c

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

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Q: (b) Determine the by using the Chain rule with the following information: z = cos (x"y^) – sin (z +…

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Q: I need some help with this question. Thank you :)

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

A: To solve the following problem

Q: Solve the initial value problem 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. x² = y – In[y + 1] +…

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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: Evaluate the indefinite integral. cos x dx (sin x)27

A: Let's find.

Q: Find the derivative of the function described. (Rx5) 3x-1 2. f (x) = 2x+4

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Q: dz of the following functions: Find dx 8 zx*+cos y? = sin(y °+ 22z)

A: Find your answer below

Q: List the first 5 terms of the sequence. 1 22 3n 3n3 32 3n n2 3n (b) -2)n+1 + 3" (a) an =

A: For (a), Given: Now, an=13n3+223n3+323n3+...+n63n3   =13n31+22+32+...+n2   =n+1n+22n+363n3…

Q: Step 2 6i If x = -2, then each x = -2 + jAx = -2 + 6i Step 3 Using (1 + 3x) dx = lim (1 + 3x,) Ax,…

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Q: Determine the integral of the ff. fun 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

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Q: Use a change of variables (and the Jacobian) to find the volume of the solid region lying below the…

A: Let's find.

Q: Σιο.1-1+ 0.9" n=1 Determine whether the given sequence converges or diverges. If it converges, find…

A: To find whether the sequence ∑n=1∞0.1n-1+0.9n converges or diverges   The given series is sum of two…

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: 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: 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)169,3115,4621,6127,....b)1010,1815,2620,3425,....

Q: The vector v with initial point (0, 0) is shown below. Write v in the form v=ai+bj, where a and b…

A: Given ,  The vector v with initial point (0, 0) We have to write v in the form v = a i + b j where…

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,…

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

A: A detailed solution is given below

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

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