Given the vector ủ = (2,0,1) (a) Solve for the value of a so that ū and i = (a, 2, a) form a 60 degree angle. (b) Find a vector of magnitude 2 in the direction of ū – w, where w = (3,1, –2)

Q: (v) sin"x y = ne Inx? y = 1+x? (vi)

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Q: 1. Given the vector u = (2,0, 1). %3D (a) Solve for the value of a so that u and i = (a, 2, a) form…

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A: Topic = Derivative

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Q: Find the first five non-zero terms of Taylor series centered at x = 5 for the function below. f(x) =…

A: To find the first five non‐zero terms of Taylor series centered at x=5 for the function given…

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A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

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A: We have to differentiate given function

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Q: equation for the translated function? A. y+5 Ax + 4) B. y-5 - Ax-4) C. y+5 = (x- 4) D. y-5 (x + 4) |

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A: Given

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A: Relative error

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Q: -2 is a critical number of the function f(x) = /2x - x2, Select one: O True O False

A: The given function is  f(x)=sqrt(2x-x2)

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Q: Find the absolute maximum and absolute minimum of the function f(x)=2x^5/2 /5−2x^3/2 /3−1 over the…

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Q: Assume that the radius r of a sphere is expanding at a rate of 10 cm/min. The volume of a sphere is…

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Q: he path r(t) = (4 sin t) i+ (4 cos t) j describes motion on the circle x +y = 16. Find the…

A: Topic:- application of derivatives

Q: Let C(x)= x2+4x+1 dollars be the cost function, where the x represents the quantity. The estimate…

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Q: Write true if the statement is correct and false if the statement is incorrect. = V3x + 2 Given the…

A: As asked we can answer the question true or false with out explanation as below.

Q: Solve the following initial value problem. f′′(x)=36x^2+30x+8, f′(−2)=−42, f(−2)=−15

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Q: b. dx Vr - 2x2 + 1

A: To evaluate: I=∫x5x4-2x2+13dx=12∫x22(x2)2-2x2+132xdx Substitute x2=u⇒2xdx=du

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Q: Question 3 (- whether it is convergent or divergent (show all ) Test the following series your…

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Q: 1. Evaluate the following integrals. csc 0)(1+ sin² 0 + sin 0 cot² 0) do a.

A: To find out the integration.

Q: 1 Determine the values of a, b and c if: 2(a,b,4) +(6,8, c) – 3(7,c,-4) = (-24,3,25)

A: We can solve this as follows:

Q: 1. Find the absolute extrema, if any, of the following functions on the given interval. (a) f(x) = 4…

A: Given:     a) fx=4-3x ; (-1,2]           dydx=ddx4-3x                   f'x=-3   There in no…

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Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

Q: Find the genekat Sotutionsto the differentiat -or Special

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Q: Question 3 Compute V31.6 approximately by use of differentials. 1.098 (E) None of the choices 1.890…

A: 31.65=1.995

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: We will differntiate, and find the values.

Q: Find * L-1{ 52-4s+13

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Q: 1. Find the area bounded by the parabolas y= 4x and y'+12x = 36

A: Topic:- application of integration

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A: We have to integrate by partial fraction.

Q: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 7.3 cm/s?…

A: As we know that; The diagonal length of the cube is: L=3a Where a is the edge of the cube. And The…

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Q: 00 5 converges or diverges. If it converges, find its sum. 3m Determine whether the series > m= 2…

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