Find the directional derivative of the function g(x, y, z) = xye² at P(3, 5,0) in the direction of Q(0,0,0). Round your answer to two decimal places. O-1.71 -1.03 O-5.67 -8.02 -5.14

Q: -. (a) Use elementary Maclaurin series to find the Maclaurin series for the function f(z 1+x = In…

A: To find the maclaurin series of the function f(x).

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A: GIven: the equation z =ln(x2) +2xy-ex y

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A: topic:- derivatives

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A: Differenciate wrt x

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A: I am attaching image so that you understand each and every step.

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A: y(x)=tanx Now, dydx=dtan(x)dx      = sec2(x) Lets find the second derivative.

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A: Topic:- application of integration      Note :- as per our guideline if more than three subparts…

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is divide both sides…

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A: The given integral is sqrt(1-4x2).

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A: Consider the table

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A: 1. Ans:- option(B)

Q: with B(1) 100 B= Find the solution to the differential equation = = dB dt +5B = 80,

A: To find the solution to the differential equation.dBdt+5B=80, with B1=100

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A: Solution

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Q: 2

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Q: 18. Solve (x+1)dx x²(x-1) A. 2lnx+In(x-1)+c B. 2ln(x-1)-Inx-x-¹+c C. x-¹-2lnx+2ln(x-1)+c D.…

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A: The given function is; f(x)=1/(x+2).

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A: This question can be solved using the concept of standard form of  equation of ellipse.

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A: Given data:- The given curve is, x29+y24=1 The given scaler function is, f(x,y)=2xy t E 0,π/2

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A: The answer posted in the image would have been correct if the student had typed 23x instead of 23x…

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A: Given f(0)=1f(2)=0.2given values are for the left, right, trapezoidal, and midpoint rule…

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