Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

Q: I need help with 17

A: To find the 3rd degree Taylor polynomial T3x centered at a =2 for the function fx=ex5.

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A: Here, the area bounded by the curves y=4+x, y=0, x=0, x=16 is given by: A=∫016∫04+xdy dx

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A: Given

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Q: Solve the problem. 12-64 For what values of t is r(t) = ti+ j continuous? 12 + St O {te D: t#0 and…

A: We have to find out

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Q: (a) rªr- (b) y2 (c) e-4z+3e7z=3 ,71–3 (d) In(ez)

A: we have to simplify

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Q: (b) Using the Power Rule for differentiation, find the derivatives for the following functions: (i)…

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Q: I would super appreciate some direction with this problem.  Would I need to change this to polar…

A: Explanation of the answer is as follows

Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A: The increase cost is given by: ∫450720C'(x) dx=∫450720300-x3 dx

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Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…

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Q: Kindly

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Q: Sketch the region enclosed by y 6x and 4x. Find the area of the region.

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Q: 23 + 7x + 9 Find dy: y = 1² + 4 dy :

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Q: pls help me out thanks integral

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Q: Determine wnetner the function Isa linear transrormation. T: R2 - R³, T(x, y) = (x², 3xy, 2y²)…

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Q: When the eigenvalues of a b A = 0 d are 2, = 0 and 2, = 2, what are the possible values of a and d?…

A: When the eigen values of A=ab0dare λ1=0, and λ2=2, then to determine the possible values of a and d.…

Q: af(x, y) If f(x, y, z) = , then is equal to dz

A: Given,  f(x,y,z)=x-zy-z

Q: For problems 3- 4 determine the angle between the two vectors. 3. p 9i-j, =-37-6j

A: Topic = Vectors As per guidelines , At a time only one question can be answered. please repost for…

Q: itいて)ttいz (Stu) ८(S+4च) uft-)$+ no C2n7s)22n?1 znt1)! u(tー) tつa 2nts iuZetuてと(ttat) て tuて ttuて ut-)…

A: maclaurin series

Q: 4. , kr+2{cd= -3

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Q: Sketch the region enclosed by y = 4x and y = 7x². Decide whether to inte with respect to x or y.…

A: we have to find the area of the region .

Q: Ise Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fum 8(x) = [" 1 dt t…

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. So xe…

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Q: 1. Given ā = 31 -9j and 5 =-6i +j compute each of the following. (a) 105 (b) 14ã + 205 (c) 85- 2.…

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Q: 6. Evaluate the indefinite integral as an infinite series. (b) / sin z (a) / r cos(r)dr

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Q: Find the required limit or indicate that it does not exist. lim o+ (in (t6), 12 in t O 6i O Does not…

A: We have to find out

Q: Test for conditionally converge, Absolutely converge, or diverge of the series Inn E2(-1)".

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Q: rrent Attempt in Progress Evaluate the line integral using Green's Theorem and check the answer by…

A: Greens theorem

Q: (2n)! for 1· 3·5 ... (2n – 1).) 2"n! Use the binomial series to find the Maclaurin series for the…

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Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

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Q: Given the function, f(x) = 5 – x using a Riemann sum, estimate the area of the region between the…

A: Given problem:- Given the function,   f(x) = 5-x using a Riemann sum, estimate the area of the…

Q: Evaluate the following definite integrals. 4. , kr+2/dx

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Q: Find the total income produced by a continuous income stream in the first 5 years if the rate of…

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Q: 3. If f(x) = [ v19 +r² dt , find f'(3).

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Q: Differentiate. 10. y = e

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Q: 4 Determine the set of x-values where f(x) 12z is continuous, using interval notation. (-x,5) u (…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) (in m/s) are given for a particle…

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Q: 2. A turns 100 RPM and B 150 RPM as shown; they are connected by rolling cones. Calculate the cone…

A: Solution: wa = 100 rpm wb = 150 rpm

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Q: 3. Find a unit vector that points in the opposite direction as = 27 +7]-5k. %3D 4 Find a vector that…

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Q: (- 1)"(x + 1)" n! Consider the series E n=0 (a) Find the series' radius and interval of convergence.…

A: We will use Ratio Test for convergence

Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: We have to find integral