Consider points A(0, -1, 2) and B(2, 1, -2). What is the length of vector AB? oo √21 √24 √18 0 √3

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Q: Find the volume of the solid generated by revolving the region enclosed by x=√10y², x = 0, y = -1,…

A: Let's find volume of the solid.

Q: Q-> using simpson's — Rule, fin d 3 da So x 1+x³ and compare the result

A: The solution is given below

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Q: 4: (1 zero? s) In what directions is the derivative of f(x,y) = (x-y)/(x² + y²) at P(1, 1) equal to

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Q: 3. Find y' implicitly in terms of x and y. (Finding the 2nd derivative implicitly). a. 3xy - 4…

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Q: Evaluate the indefinite integral. S = 6x x² + 1 dx +C

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Q: Suppose that x = In(A) and y = ln(B). Write the following expressions in terms of x and y (so you…

A: To express different log in terms of x and y

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A: The number of bacteria in a culture is modeled by nt=1750e0.39t. We have to find the required…

Q: The following can be derived from the above rules. log,1 = log, a = log, d' = loga log 1 b= log,…

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Q: The following is the graph of y = g(x). Use this graph to compute the following quantities, o state…

A: solution:-limx→2-g(x)=1limx→2+g(x)=4limx→2g(x)=does not exist because limx→2-g(x)≠limx→2+g(x)

Q: If ƒ is an increasing function and ä2 > x1, then ƒ (x₂) < ƒ (x1) True False

A: Given: f is an increasing function and x2&gt;x1

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A: We have to find volume generate due to revolution of curve about x axis.

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A: Given sequence, 3,9,15,21,...,81.

Q: Find the volume of the solid generated by revolving the region bounded by the given equations about…

A: We need to find volume.

Q: Evaluate the integral. | 6² ( ₁ 7 2²³ + 5+1 k) dt 5t4 j+ + t². π -j + ln (2) k X

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Q: The tangent line to  y=ex where x=0 has slope of 1 True or false

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Q: Sketch the graph of a function f that satisfies all of the given conditions. lim f(x) = 4, lim_f(x)…

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Q: Given that f(x) = x² - 10x and g(x) = x + 6, find (a) f + g= (b) f-g= (c) fg= f (d) 9 =

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Q: 4) Use the following graph fto determine the following. If a limit is infinite, write infinity or…

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Q: Find fyx. fzy f(x, y, z) = x³y³ z³ + xy³ + yºz

A: Given :fx,y,z=x3y8z3+xy3+y6z

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A: Given  e and f are unit vectors.

Q: Given that f(x) = 9x − 1 and g(x) = 8 - x², calculate (a) f(g(0))= (b) g(f(0))=

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Q: uppose the amount of caffeine (in mg) in a person's body t hours after consuming it is C(t)= 16…

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Q: Find the area of the region bounded by the graph of f(x) = x sin (x²) and the x-axis between x = 0…

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Q: 6. (D² + 1)y = 10e* sin x

A: see below the answer and explanation

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.). √1+h 1 h lim h→0

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Q: Qu Solve the following ordinary differential equations:

A: dydx+1xy=xy3divide y3  both sides 1y3dydx+1x×1y2=x

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A: Given set of numbers, {−63, -54, -41, 11, 13, 76, 80, 130, 132, 137} To be found : Group the numbers…

Q: 9.log(a²-9)-log, (a − 3) is equivalent to 3₂(a² + a−12) 2₂(a² − 3a² − 9a+27) - (a+3) 3.₂(a²-a-12)

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Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

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Q: Ja Observe the high of the water. Water is being poured at a constant rate into a cylindrical vase.…

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Q: 1:37 PM Sun Jan 29 X Chemistry2e-WEB 11 of 11 0 3= box ² y=lnx 6.3 Volume By Slicing 20 8 X 6.4…

A: 2 curves are given Y= ln x Y= ln x2

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A: To solve the following quadratic equation by the method of completing the square. x2-6x-4=0

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Q: 3.4x +417x²

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