Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y = x³, y = 0, x = 1, X = 4

Q: x2 – x – 6 lim 1+-3 x2 – 5x + 6

A: It is of 0/0 form ,we have to eliminate first its factor.

Q: 5) Given the point Q(2, 0, 1) and a plane p: 3x + y - 4z = 24, Find the distance from Q to p.

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Q: 1.0 1,0 -1 -1

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Q: - ху? x? + y? 51. f(x.y) =

A: Evaluate the multivariable  limit 51. fx,y=x3-xy2x2+y2

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Q: . At what angle must be a 5 meters ladder leans on a wall 4.5 meters high to reach its topmost? 2. ...

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Q: 1) Three forces act on a weight. Two of the force are at an angle of 100° to each other. One has a m...

A: Solved below

Q: Find the determinant of the triangular matrix. -2 0 8 7 -7 6 -4 Use expansion by cofactors to find t...

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Q: Verify Young's Theorem z = In(2x + y) -

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Q: Sx² - c if x 7° makes the function f (x) continuous for all real numbers. (A) 21/4 (B) 21/2 (C) 49/...

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Q: 8x10+2x-3 4. Find lim using rules for limits at infinity.

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Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

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Q: Use the graph to determine the equation of the vertical asymptote: 5+ -5-4 --2 1 2 3 4 5 -2 -3 -4 -5...

A: Vertical asymptote is given by the line about which the graph runs parallel but never cuts it.

Q: 2. Define what it means by for y = f(x)

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Q: raluate 1+cos 4r 1-cos 4x

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Q: sine E and <7, then find cace 3m csc 0 = 5. If cose 2, then find cac @ sec 6

A: Given that:cscθ=-135π2&lt;θ&lt;3π2To find:sinθcscθ+cosθsecθ

Q: The letters A,A,A,B,B,C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The ca...

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Q: ) True or false: The fuction -15 S-28

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Q: For the given​ functions, find f o g (x) and g o f (x) and the domain of each. f(x)=1-x/4x g(x) ...

A: We have to find domain and f(g(x))

Q: 10.) f(x) = (x5 – 4x³ – 7)8 %3D

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Q: Estimate f′(20)f′(20) where f(x)=x3+7x2−16x−10f(x)=x3+7x2−16x−10 to within one decimal place by usin...

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Q: Find a suitable integrating factor u(x) or y) and show that the following differential equation is e...

A: The given differential equation is: x2-xy+x3sin x dx+x3y+x2 dy=0 ;       yπ=1

Q: For the function

A: Given, f(x)=(2x-2)5   yes given function is a power function

Q: Find the derivative of ?(?) = −7 cos(4?). using the chain rule

A: We have to find the derivative of given function using chain rule in differentiation.

Q: Problem 1. Evaluate the following integrals 2 3x2 + x – 1 (g) S i x 1 dx Ans. In 6 – 2 - - 2(x+ 1) 1

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Q: - 3 – x + 2 if x - 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f...

A: Topic = Limits

Q: Determine if the equation (dfferential form) is exact and find the solution if it is  (2yln(x))dx+(...

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Q: For a function f, we define the ___________________________________, denoted f’, by f’(x)=Instantan...

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Q: 8.) f(x) = v5x* – 12

A: Given:        fx=5x6-12        fx=5x6-1212 differentiating on both sides    f'x=ddx5x6-1212

Q: Given the vectors v and u, answer a. through d. below. v = 11i - 8k u = i+j+k

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Q: siny+ tan y = siny %3D 12. 1+ secy

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Q: 4. (a) If y = A + Bx + Cx2 and yo, yı, y2 are the values of y corresponding to x = a, a + h, a + 2h ...

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Q: Find the volume of the solid obtained by rotating the region A in the figure about y = -9. y = x² +b...

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Q: Evaluate S x(x + 2)2 dx by two methods: (a) Expand (x² + 2)? and multiply the result by x; (b) let u...

A: Given : integral of x(x² + 2)² dx

Q: True or False? The product of two imaginary numbers is always an imaginary number.

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Q: Evaluate the given limits below. 127 1. lim 34 x0* X 1028 2. lim 121 x→0 X 12345 3. lim 136

A: Just put the given  values of limit and evaluate. Actually as per the barteleby guidelines I am supp...

Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle 0. Use the Py...

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Q: Determine whether the sequence converges or diverges. If the sequence converges, find the limit. (Us...

A: Hair we have to use the L Hopital's rule to find the limit.

Q: (V- 1)2 Evaluate dx by two methods: (a) Expand (Vx 1) and multiply the result by x-1/2: (b) let u = ...

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Q: Construct the following table of values f(x) = 2". g(x) = 2" -1 and h(x) = 2" – 1 b. Complete the ta...

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Q: Q2/(a): Evaluate the double integral , 3xy dA over the rectangle dA = dydx} R {(x, y): -3 x< 2, 0sys...

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Q: If lx + my = 1 touches the curve (ax)" + (by)" = 1, show that %3D )+) = 1.

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Q: Find the angle between the planes 10x + 9y = - 12 and 10x+ 8y + 10z = - 12. The radian measure of th...

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Q: Find the derivative of ?(?) = 5 sin(2?). using the chain rule

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Q: What is the result when you square a binomial?

A: When square a binomial

Q: (® Find J (x) if fraxy = 10 Vzx-5

A: The given function is: f(x)=102x-57

Q: 3) Find the exact length of the curve y = x² – In x for 1< x < 2. 1„2

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Q: What is the smallest number of terms of the series > (-1)"*! 1 that would have to be added in n 6" o...

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Q: Find the domain of the function f(x) = V-a? 3x + 4

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Q: y = -1+3t and y 5-3s 4 t 2+4s (b) Find the plane that contains these two lines.

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