dx (x2 + 1)(x2 — 2х + 1)

Q: Identify and sketch the graph of the following equations in R. (a) r? + 2y? + z2 – 8x + 12y - 2z +…

A: answer is in next step

Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z = 2…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: 2. Use a triple integral to find the volume of the solid bounded below by the paraboloid 2 =+y? and…

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Q: 1. El radio de convergencia de la serie de potencias es (n+1)!

A:

Q: Σ 2(3n 1) 6n + 4

A: The series is convergentsee below the calculation

Q: Find of the function x³ z2 – 5æyz = a? + y %3D

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Q: Let A (1,0, 2) and B = (6,-2, 3). Solve for projĄB.

A: Consider the vectors  A=1,0,2B=6,-2,3

Q: Find the surface area of the sphere x^2 + y^2 + z^2 = 100 that lies above the cone z = sqrt(x^2 +…

A: We need to find surface area.

Q: SNTy+1-2dy VVy+1-2 and can be evaluated conveniently if we let x =V dy = 4x(x² +2)dx. A True B False

A: Given problem:-

Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1> %3D %3D 1 1) Determine the unit…

A: Here, the given vectors are: A=0,4,2, B=6,-1,0  C=3,0,1

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

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Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1) Determine the unit vector…

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Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A: Given that the initial amount of salt = 20 g    and rate of pumping in=3L/min  Let A be the amount…

Q: A rumor spreads among a population of N people at a rate proportional to the product of the number…

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Q: Solve the system of equations by any method.   −4x+8y    =28 x−2y    =−7   Enter the exact…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 3 2. 4 4 2. 4

A: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

Q: A (R - 5) Given the power series E (n - 3) A, xla - 5) n = 2 Use the technique that we covered in…

A: Here, the given series is: ∑n=2∞(n-3)Anxn-5...(1)

Q: ci +jand b = 12i + 9j. Find c so that the angle between a and bis- Let a Round your answers to four…

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Q: 2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3°, where t is given in…

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

Q: 6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes…

A: the solution is as follow

Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: f

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Q: Use the first derivative test to find the location of all local extrema in the interval (0, 27) for…

A: answer is in  next step

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

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Q: 4. Evaluate dy and Ay for the function f at the indicated values: y = f(x) = x3 - 2x2 ; x = 1, dx =…

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Q: d d Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt' dt the product directly…

A: Given problem:-

Q: Evaluate: y6 sech(e™ny) tanh (e 7Iny)dy (A sech (y") + C -sech2(y7) + C 7 В -uch(7") + C (y?) +C D…

A: Given: I=∫y6seche7lnytanhe7lnydy   As we know from the logarithmic rule: (1). logaxb=b·logax, x≥0…

Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x= u + v) X…

A: x=12(u+v)y=12(u-v)u=x+y, v=x-y(x, y)=(0, 0): (u, v)=(0, 0)(x, y)=(1, 1): (u, v)=(2, 0)(x, y)=(-1,…

Q: Q5. Find if y = Vcos x - 7*

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Q: 13 Suppose f(x) is decreasing over the interval 5 < x < 13, and / f(x)dæ x = 80. Then the region…

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Q: Find the standard form of the question of the ellipse with given characteristics and center at the…

A: This is a problem related to conics section. Based on the general formula and concept we will…

Q: Find an eguation of the ellipse with Focilo,a) and (0,-2) and verticesco,3) and C6,-3).

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Q: | sec(/I) tan(/) dr

A: We need to solve integral.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

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Q: Find the Maclaurin series for f(x) = 21 e What is the Maclaurin series of f(x) = 21 e*? 00 Σ (Type…

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Q: Given f (x,y) =4e* In y with x = In(u cos t) and y = u sin t. The correct value of dz is given by…

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Q: Describe the graph of the equation. r = 10 sin 147 i + 10 cos 14t j O tis an ellipse in the…

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Q: 33 2Vx- f (x) (1–3t) (t³-8) T Sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x g(t) = t # 2 2-t

A: Given:

Q: Suppose FW = Ax+B, with F6)-r and F() - 8, pind F) interms of A,B,r,s

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Q: Use sigma notation to write the sum. 1 +. +. 9(1) 9(2) 9(3) 9(11) 11 Σ i = 1

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Q: x² + 2 (х - 2)(х2 — dx 2x + 2) **

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Q: 4. Find the average value of the function over [1,4] and all values of x in this interval for which…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Find the directional derivative of the function at the point in the direction of the unit vector. 3…

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Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

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Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

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Q: Given the differential equation y" = 5 x2 y' Find the Implicit derivative " dy/dx" of the…

A: Given y''=5x2y' To find the derivative.

Q: (-1)"n" sin" () Σ 2n n=1

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Q: |(x² + 2x) cos(2x) dx

A: