The curve y: 3/2 is rotated about the y – axis. Calculate the surface area for 0

Q: Given are two points [1,3] and (6, –1] in the plane. Which equation of the form a ·z + b•y+c=0…

A: (y-y1)/(y2 -y1) = (x-x1)/(x2-x1) (x1,y1 ) = (1,3) (x2,y2 ) =(6,-1) (y-3)/(-1-3) = (x-1)/(6-1)…

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A: Use gradient formula for finding at given value .

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Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) =

A: Topic = Functions

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Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: Consider the following. u = -9i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k…

A: The given vectors,u=-9i-2j-4k, v=4j+4k

Q: Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos…

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Q: Finding a Limit In Exercises 81-88, find the limit, if it exists. 4x2 84. lim

A: I am attaching image so that you understand each and every step.

Q: Type the correct answer in the box. Use numer. What value of x satisfies this equation? log,6r – 8)…

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Q: Let a = ci +jand b 7i + 56j. Find c so that a and b are orthogonal. %3D %D C =

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Q: Finding a Limit In Exercises 41–48, find the limit (if it exists). If it does not exist, explain…

A: Given problem:-

Q: In the following exercises, suppose →1 as n→>∞. Find the radius of a, that convergence for each…

A: We have to find the radius of convergence.

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Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: ewrite int _0^1 int _0^{2-2x} int _0^{{1/2} (6-6x-3y)} dzdydx as dzdxdy and dydxdz

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Q: Find the following limits or determine that they do not exist: a. lim,o x| b. lim,0.r>0 2+ |x c.…

A: Since this is a multiple subpart question according to the Bartleby answering rule only first three…

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Q: Let i = (6, – 6, 1) and v = (– 5, 5, – 6). %3D Compute the following: i · i = i. i = - 6(ü - i) = (–…

A: To evaluate the given dot product of vectors u and v.

Q: At what point(s) on the curve x = 3t2+1, y= t3 -1 does the tangent line have slope?

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Q: Find the length of the curve 1 13x52 16 2x2

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Q: Evaluate. 20) X +9 -dx X +5

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Q: This question has three parts. Answer each part correctly to get the next part. We will find a…

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Q: Solid created from these conditiong limited to 0eyet fiest actant on ly Positive xy-plane

A: y=xx=y2,0≤y≤10≤x≤y2z=1-yy=1-z0≤y≤1-z,0≤z≤1V=∫01∫01-z∫0y2 dx dy dz

Q: Given: In(1+ x) (-1)" xn+1 _if |x| < 1 n + 1 n=0 (-1)"(n + 2) 2n+1(n + 1) Compute the exact value of…

A: Solving

Q: Please

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Q: B C 13 a.) Find LA 11 33 D A

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Q: Let D be the tetrahedron in the first octant bounded by the coordinate planes and the plane 6x + 3y…

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Q: 1. Apply Maclaurin's series to establish the power series of tanx.

A: Answer is in below step.

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Q: rational functions solve suppose it costs C dollars ( in billions) to build X miles of a wall…

A: A)C(x)=0.425 x1954-xwhere, x is the miles of the wall.cost to build 1000 miles of…

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

A: Average Cost = C(x)x. Marginal Cost = C'(x)

Q: Consider the following. u = -6i - 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b)…

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Q: 30 507 13.

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Q: Solve the following differential equations: (DE in 1st Order, 2nd Degree) 7.) (v')² +| x – 2x y'+x -…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: x20 is continuous at x-0, then a = a+sinx If the function f(x): 2+2acosx x<0 a. 1 b. -1 O c. 2 d. -2

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Q: Find the area between the curve f(x)=x^3−110 and the​ x-axis from x=1 to x=3.

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Q: Find the area of the parallelogram that has u = i – 2j+k and v = 3j +k as adjacent sides. NOTE:…

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Q: .2 | f(a)dr 62 , what is 13 Given that f(u)du: answer = Question Help: DVideo Submit Question

A: Explanation of the answer is as follows

Q: Solve the inequality 36x –x<0 and write the solution set in interval notation.

A: