Find the length of the following two-dimensional curve. /₁² =(1/2. (2t+1)3/2 3 r(t): for Ost≤8

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A: Introduction: The Euler's method is a first-order numerical procedure for solving ordinary…

Q: Find the shortest distance, d, from the point (2, 0, -5) to the plane x + y + z = 5. Step 1 The…

A: Given: Point : ( 2 , 0 , -5 ) Plane: x + y + z = 5

Q: What is the particular solution x³ - 2xy; when x = 1, y = 1? a. y=x² +e(¹-x²)_1 D. 2y=x² +2e(1-x²) —…

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Q: Solve the following differential equation. Show your complete solution. y^4 + 17y" +72 = 0

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Q: 7. A piece of copper in the form of a rectangular parallelepiped has edges of lengths 2, 4, and 8…

A: Given:- Length of parallelopiped l=2 cm Width of parallelopiped w=4 cm Hieght of parallelopiped l=8…

Q: Find the work done by a force of F¹ = newtons applied to a point that moves on a line from (4, 6)…

A: To find the work done by a force of F→=-3, 2 newtons applied to a point  that moves on a line from…

Q: = [5,-3] and q.= [1,4], find | p - 5q |

A: Given query is to perform indicated vector operation.

Q: dy The general first order linear equation can be written in the standard form+p(t)y=g(t). The…

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Q: 3 f(x) = -2+x ... Select the correct choice below and, if necessary, fill in the answer box(es) to…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: X = 5y and y³ = x with y…

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Q: i cant see the rest of the solution

A: To find the integration.

Q: Consider the following function on the region described by the inequality. f(x, y) = 2x² + 3y² - 4x…

A: Given data: f(x, y) = 2x² + 3y² - 4x-8, g(x, y) = x² + y² ≤ 16

Q: Evaluate the integral. (Use C for the constant of integration.) 17 7 tan(x) sec³(x) dx 7/1 3 sec x…

A: Here is the solution:

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A: To find the angle.

Q: Find the moment about the x-axis of a wire of constant density that lies along the curve y = √3x…

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Q: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

A: 1) Domain: The domain of a function is the set of input values for which the function is real and…

Q: Use integration by parts to evaluate the integral: S In(x) x7 - dx = Report your answer accurate to…

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Q: Suppose the height of a thrown object is given by h(t) = -5t² +26t+24 meters, t seconds after it is…

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Q: If r(t) is the position vector of a particle in the plane at time t, find the velocity vector of the…

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Q: Question Find an approximation of the following S 1000 -Σ i=1

A: This is a problem related to series and sum calculation. Please follow the procedure given below.…

Q: I dont see the answer I am looking for here, What is v(t) =  ??? Did not fill in the blanks as…

A: If a function st gives the position of a function at time t, the derivative gives the velocity ,…

Q: Write the vector equation for the line of intersection between the planes ₁:z-z=2 and 7₂: z-y = 1.

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Q: Find the total area of the shaded region shown to the right given by the curve y = 5( sin x)√1+…

A: The given bounded region is:   Now taking an elementary vertical strip. The area of the strip is:…

Q: Write the function as a composition of two functions. 1 2 y= (x² +8x) ³ - 7(x² +8x)³ +3 x² + 8x) ³…

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Q: Express the vector P₁ P₂ in the form v=v₁i+V₂j+V₂k if P, is the point (-4,-9,-6) and P₂ is the point…

A: given P1=(-4,-9,-6)P2=(9,7,-1)P1P2→=P2→-P1→

Q: et fand g be continuous functions such that A B (С) D E 3 7 11 15 19 10 ["f (2) dz-21, f. 19 (2) de…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 Σ(-1)…

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Q: Find the exact value of each trigonometric expression. Write 177 12 as the sum or difference of…

A: O=cos(17π12)cos(a+b)=cosacosb-sinasinb

Q: Find all values of x for which (-1)-(3x-1)" Σ n² #m] converges absolutely.

A: Solve the following

Q: Evaluate ftan tan4 r sec4 rdr +C

A: M=∫tan4xsec4xdx1+tan2x=sec2xd dx(tanx)=sec2x

Q: Find the limit 13 a) lim x-3 X+3 2 x 9 c) lim X->0 3-) 2 b) lim (6x² - 6 cos x) = 17² ? X->0 2 5 COS…

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Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: Let f(x) = x+7 x +3 The domain is a E for mol . (Enter the domain as an interval. Use U for union…

A: f(x)=x+7x+3for domain x+3≠0

Q: Find all values x= a where the function is discontinuous. For √x-9 k(x)=2e

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Q: If a = [5,-2,1] and b.= [-1,-3,4], find | -a + 2b |

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Q: Suppose that one factory inputs its goods from two different plants, A and different costs, 4 and 10…

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Q: Evaluate the integral: · [2²³√₁+1 1+16x²dr + C

A: To find the value of given integral.

Q: Maximize f(x, y, z) = 2x + 5y + 9z on the sphere x² + y² + z² = 55. 5√ 110 X

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Q: At time t = 0, a particle is located at the point (5,6,5). It travels in a straight line to the…

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Q: Find all the second-order partial derivatives of the function. r(x,y) = In (4x + y)

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Q: Find Əf ax and Əf Əy 2 f(x,y) = √2x² + y²

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Q: Determine whether the integral is convergent or divergent. 2 172² 17z² convergent divergent X In(z)…

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Q: Let A = 6.1 ag - 2.5ẩn and B = -2.9 ấg + 4ẩn given the unit vectors âg=0.6ây +0.8ây and ân =0.8ây –…

A: According to question,Given Vectors,A→ = 6.1 ag^- 2.5 ah^,B→ = -2.9 ag^+4 ah^ag^ = 0.6 ax^ +0.8…

Q: Find the linearization of the function f(x) = x L(x)= 1 77 sin (a) at z = 1. Using this…

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Q: Two cars leave from the same point. Car A drives North for 2 hours at 30mph, and car B drives east…

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Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

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Q: A shot putter threw an 8 lb 13 oz shot 66 ft, 8 in. Assuming the shot putter launched the shot at a…

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Q: Find af/ax and Əf/ay (x+y+4) f(x,y) = e

A: f(x,y)=e(x+y+4)∂ ∂x(ex)=ex∂ ∂x(constant)=0

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x + y - xy, D is the…

A: The given function:fx,y=x+y-xyThe closed region D is the closed triangle region with vertices 0,0,…