4. Ln=1 By the series test: 3n-2

Q: Find the Jacobian a(x, y, z) a(u, v, w) for the indicated change of variables. If x = f(u, v, w), y…

A: x=ρ sinφ cosθy=ρ sinφ sinθz=ρ cosφ

Q: In how many different ways can 11 different- colored horses be positioned in a carousel? 4 032 3 628…

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Q: on

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Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

A:

Q: Find the solutions of the system of inequalities by graphing: ¤ + y 2

A:

Q: A tin can has a base diameter of 10 cm and a height of 10 cm. The can is initially full, but a hole…

A:

Q: Consider the following. y = x2 y = 20 − x   (a) Find the area of the region by integrating with…

A:

Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: Given that Rojana is 8 years older than AJ and the sum of their ages is less than 24. Here we have…

Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: This dota shows fthe amount of sugar (in pounds) in different packoges How much total sugar is…

A:

Q: please refer to the

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Q: Find the dy/dx for  y = (ex(2x2-1)5)/(x2(sqrt2x+1))

A: This question is based on two diffrentiation rule-: 1. Product rule 2. Quotient rule.

Q: 2. (x+2y-1)dx+(2x+4y–3)dy=0; when x = 2 and y = -1 %3D

A: We can solve the given differential equation by using the substitution . Substitute x +2y = v and…

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = (i-)

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Q: Calculate the integral. (Use symbolic notation and fractions where needed.) |5 – x| dx

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

Q: (e) Compute y' if y2 = xe + ye-

A:

Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

A:

Q: Find the derivative f'(-1) for f(t) = 5t3 + 2t? – 1

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given equation passing through the points (5 , -3, -2)  and  -23 , 23 ,1

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

A: From the given graph the limits of x are from 0 to1.The area of the shaded region is given…

Q: У(у - 9) dy у3 — 216 6.

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Q: Find the area of the region enclosed by the rose r = 10 cos 30. NOTE: Enter the ezact answer. A =

A: Here, the polar curve is r=10 cos 3θ which is as shown:

Q: that has i +j and i – 18j as adjacent sides. NOTE: Enter the exact answers. ||d||= 19 ||d||=|17.12

A: Vector

Q: Q1/ a) Sketch the graph of y = sin2x for 0 <x SI %3D b) find the total area bounded by the curve and…

A: This is a problem related to calculating area under curve of the polar equation. Based on the…

Q: Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify…

A:

Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 + 3y + z = 5 Find the normal vector, n,,…

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Q: x2 Find the length of arc of the curve y = 4 Inx from x 1.5 to x = 2.

A:

Q: Determine whether the following series is convergent or divergente: (-1) " n7 +5 n= 1

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Q: 12vt dt (1+ t3/2)2

A: Given integral I=∫1412t( 1+t32 )2   dt

Q: 7. x Arcsec (2x) dx (4x2 – 1)7

A: This is a problem related to integration. Based on the general formula and partial fraction concept…

Q: 10. If G(x) is an antiderivative of g(x) then y = G(x) is a solution to the differential dy equation…

A: If G(x) is the antiderivative of g(x), an integrable function. Then ∫g(x)dx=G(x)+C, C is a constant.…

Q: 5. In antidifferentiation, the formula § x" dx + Cis valid if? %3D (n+1) А. nER В. п# 1,п€ R С. п€…

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Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: From the given graph

Q: x <0 2r3 + 3r2 – 12x, x 0 10xe", f(r) = a. Find all the critical numbers of f. b. Find the extreme…

A: a)  For x&lt;0    Consider f'(x)=0  ⇒10(ex+xex)=0  ⇒10ex(1+x)=0  ⇒1+x=0  ⇒x=-1For x≥0Consider…

Q: 3t e2t dt Evaluate the following integrals. 4 Зе + - 5t5/2 a dt - t3 2x cos(9 - x2) dx sin(9 – 2) -…

A:

Q: _13. What is § 2sinx cos x dx? cosx A. In2 +C В. C. +C +C D. In2 _14. Which of the following has…

A: We use the method of substitution to  solve the given differential equations

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: As per our company guidelines we are supposed to answer only three sub parts of a question.kindly…

Q: 2. Locate the centroid (x, y)of the following areas: a) y3D Vx/2 + 2r/3 %3D I 2 ft

A: Given:    Centroid of the colored figure x,yWhere,x =MyM      &amp;       y =MxMMy = ∫02xfx-yxdx…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) 2…

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Q: Find the derivative of the function. F(x) = dt

A:

Q: If G(x) is an antiderivative of g(x) and F(x) = G(x) – 5, then F(x) is also an antiderivative of…

A: We can solve this as  follows:

Q: The following figure shows the graphs of y = f(æ) and y = g(x), together with the %3D indicated…

A: Given problem:-

Q: 4. y2 +2xy 4, find y" Ans. y" = (x+y)

A:

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

A:

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given :r(t)=F(t)+G(t), where F(t)=costi - sin tj +6tkG(t)=2 costi + sin tjTo find : The domain of…

Q: The following figure shows the graphs of y = f(x) and y = g(x), together with %3D %3D the indicated…

A: Given problem:-

Q: Solve the differential equations using the substitution suggested by the equation. (2x + y)dx -3(2x…

A:

Q: 4.1 Consider the three permutations in S6: 1 2 3 4 5 6 4 5 6 2) 3 1 1 2 3 4 5 136 5 2 4 1 2 3 4 5 S…

A: Given

Q: Prove the following function T : R3 → R³ defined by T(x, y, z) = (2x – y, y – 2, x + 2) is a linear…

A: Explanation of the answer is as follows

Q: iut n=1 Find the radius R of convergence for the series

A: Just use the formula of Radius of convergence and find it. Radius of Convergences, R= 1