Find the volume of the solid generated by revolving the specified region about the given line. R about x = 0 9. y = x^8 y = x y 0.5- R 0.5 Need Help? Watch It еВook

Q: Зх-1 -dx 2 x+1

A: Given query is to find the integral.

Q: 1. (-7, -3) 2. (-5, -3] 3. [0,3] 4. [3, 7] 5. (-5,5)

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Let a,b,c are position vector of point A,B,C respectively . Therefore a=-3i+j+5k, b=i+k c=-2i+3j-4k ...

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –...

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and indic...

A: Topic:- application of derivatives

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Simplify the equation j4321 + j8765 + j6789 - j4000 O 1- 3j O 3-j O j^3 - 1 O 3j - 1

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Q: 5. f(x) = [(x + 5)5 – 1]* %3D

A: Questiopn 5,Given,           fx=x+55-14To find : The derivative using the chain rule.

Q: Find the maximum and minimum values of f(x, y) = 3x + y on the ellipse x? + 16 = 1 maximum value: mi...

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Q: The numerical value of the improper integral (tx) 3 dx is equal to (x*+1) 2 - 00

A: Please see the answer below.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: The value of a computer t years after purchase is V(t) = 2, 000e-0.35t dollars. At what rate is the ...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (8,...

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Q: The masses m; are located at the points P;. Find the center of mass of the system. m1 = 7, m2 = 2, m...

A: Given : The masses mi are located at the point Pi.m1=7   ,m2=2   , m3=9P1=(-8,-8)   , P2=(-9,-8)  , ...

Q: V12(-1)" 3" (2n + 1) V12(-1)" 3" (2n + 1) 1. Consider the series ) Note: this was changed from n=0 n...

A: The given series is: ∑n=0∞12(-1)n3n(2n+1) which is an alternating series with an=12(-1)n3n(2n+1); n≥...

Q: Use the definitions of the hyperbolic functions to find each of the following limits. (If the limit ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: What is the Direction vector for the line with Cartesian equation 3x + 2y-1= 0

A: Any line in two-dimensional Euclidean space can be described as the set of solutions to an equation ...

Q: Sketch the level curves of the function f(x, y) = y + x? for c = 3. 7- 5- 4- -6 -5 -4 -3 3 4 5 6 -2 ...

A: Solution ) f(x,y) = y + x2  f(x , y ) = c  y + x2  = c  y + x2 = 3  y = -x2 + 3 To find the vertex  ...

Q: Find the area of the largest rectangle that can be inscribed in the ellipse given by: x² + 4y? = 16

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Q: Find the function s(t) satisfying = -2-3 cost dt and s(0) = 6. ds = -2-3 cos t dt and s(0) = 6 is s(...

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Q: Find the derivative of the function. F(0) = arcsin Vsin(30) F'(8) =

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Q: Determine if the geometric series converges or diverges. If a series converges, find its sum. 3 + .....

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Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check you...

A: LetI=∫31-x2dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=3·∫11-x2dxUse the common integral:  ∫11-x2dx=s...

Q: If f'is continuous, f(1) = 0, and f '(1) = 7, evaluate %3D lim (1 + 5x) + f(1 + 6x)_

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Q: Find the general solution to the differential equation y"+5y" + 6y' + 2y = 0. %3D Hint: Look for a r...

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

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Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The...

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: Determine whether the plane passes through each point. x + 2y – 4z – 1 = 0 (a) (-5, 1, -1) O Yes O N...

A: The given plane is x+2y-4z-1=0   ........................... (1)

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Here we have to determine whether the given sequence is divergent or convergent.

Q: If x³ + y° – x1ºy12 = 1, find dz in terms of a and y. dy dy dz Using your answer for , fill the foll...

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Q: Determine any planes that are parallel or identical. (Select all that app O P,: -90x + 60y + 30z = 2...

A: Find your answer below 

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: A farmer builds a rectangular grid of pens with 1 row and 8 columns using 1000 feet of fencing. What...

A: We have to find the length and width e of the rectangular field so as to maximize the area.

Q: 4. (3x – y)2 = 6x + 2y + 23 @ (1,-2) 5. x(x² – y²) = 3 @ (-1,2)

A: 4) (3x-y)2=6x+2y+23, @(1,-2) 5)x(x2-y2)=3, @(-1,2).

Q: An aquarium 7 m long, 3 m wide, and 4 m deep is full of water. Find the following: the hydrostatic p...

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Q: A company determined that the marginal cost, C'(x) of producing the xth unit of a product is given b...

A: To find out the total cost function. 

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Problem 2: Find the equation of the curve whose slope at any point is 2 = x?Vx and which passes thro...

A: topic - differential equation

Q: You would like to have $550,000 when you retire in 35 years. How much should you invest each quarter...

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Q: ds = - 2-3 cos t dt Find the function s(t) satisfying and s(0) = 6. ds = -2-3 cos t dt and s(0) = 6 ...

A: Given problem:- Find the function s(t) satisfying (ds)/(dt) = - 2 - 3cos t and s(0) = 6

Q: Find u x v, v x u, and v x v. u = 3i + 7k %3D v = 5i + 9j – 3k. (a) u x v (b) (c) V X V

A: Given that, u = 3i+7k, and v= 5i+9j-3k.  

Q: Find dy/dx by implicit differentiation. exly = 4x – y

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Q: Evaluate the following integrals. x² + 2x -3 dx | x+2

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Q: 13. Given y = arcsin(x) – x/1-x² , what is y'? 2r? A) |1-. 2x B) C) D)

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Q: omework. Find Sup, Inf , Max, Min of the following subsets of R: S4 = {x € Q : x? < 2}.

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Given the following information about the hyperbola, find both its standard and general form FOCI: (...

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Q: an+1 Assume that converges to p = . What can you say about the convergence of the given series an n ...

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