Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y2 + z2 (2, 3, 4) Vf(2, 3, 4) = Find the maximum value of the directional derivative at the given point. eBook

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A: To analyse the given series.

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Q: name one real world example of when you would use a  polynomial functions and form the equation

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2, ...

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Q: Haw.y If the directionl derivative Valne ( Du f) of the function flx,4) = x-3xy +uy 4t Paint (-2,0) ...

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Q: NUTES -3x PG. 8 Problem q: y" =94iyse",y2s e3*

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

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Q: ex: W= Show that wxy=wyX

A: On solving this we will get:-

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A: The velocity of the particle is given by: v(t)=(t2.5+4t)cos(3t)

Q: Determine the average value of the piecewise function f defined below on the interval x = 0 to x = 3...

A: This question can be solved using the concept of definite integral.

Q: tunction is eontinuas f(x) = [2x²2x4 X-2 at 2 x = 2

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Q: Given the following differential equation and its initial conditions y" - 3 y'+ 2y - 6 with y(0) 2 a...

A: We know, L{y''}= s²L{y}-sy(0)-y'(0) L{y'}= sL{y}-y(0) L{1}= 1/s  L-1 {1/(s-a)} = eat    

Q: ner order ential e = 0; y(1) = 0, y'(1) =

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Q: Question 13 Are the following functions inverses? Select the correct answer. f(x) = 6x 2 | x + 2 g(...

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Q: 3. Determine whether the function is continuous at the given values of a. Show your complete solutio...

A: Given function fx=x+2if x≤12x2if 1<x≤3x3if 3<xiTo chaque the function is continuous  at x=1x+2...

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A: We have to find such a vector whose magnitude is 6 in the direction of a vector u = ( 1,1 )

Q: The differential equation y (x y e² ) = y³ež + æ2? has a solution of the form f(x, y) = ln |x| + C. ...

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Q: Which of the following would represent an approximation of R(51) using information from R'(x) R(51) ...

A: Given query is to find correct option for. R (51).

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Q: Given the function Y(s) - +9

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Q: -7° L {t!° e•7"} 10

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Q: Find f. f"(e) = sin(e) + cos(8), f(0) = 2, f(0) = 2 f(e) =

A: Given problem:- f''(θ) = sin(θ) + cos(θ) , f(0) =2 , f'(0) =2  To find:- f(θ)   

Q: d = 12t(3t2 – 1)3, s(1) = 3

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Q: 3-4 Change from rectangular to cylindrical coordinates. 3. а. (4,4, —3) Answer + b. (5/3, –5, v3) An...

A: To Convert Rectangular coordinates (x,y,z) to Cylindrical coordinates (r,θ,z) :           As x= rcos...

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Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: The functions f and g are continuous and differentiable with g(x) = f'(x). Selected values of the fu...

A: Given query is to find the average value of the function g(x) over the indicated interval.

Q: 16. As a generalized interpolation problem, find the quadratic polynomial q(x) for which q (0) = -1,...

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A: topic - linearization of a function

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Q: 4- find Juw w = X + y y + Z ९ ८०९ ६ y = e Sint and

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Q: rify its coordinates. ös that your graph will show. You may click or f(z) = 2 (z- 4) (z – 1) (z+5) o...

A: Given query is to find the number of zeros of the function .  

Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

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Q: Question 3 2x2 – 1 lima→0 x2 +1

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maxi...

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Q: 0 minutes. Water begins to be A tank has 10o gallons of water in it at time t pumped into the tank a...

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