11. Suppose that the equation g(x, y, z) = 0 determines z as a differ- entiable function of the independent variables x and y and that 8. + 0. Show that 3). ög/ðy ду dg/öz

Q: Find the maxamin s in flectlon Points and the in ter Vals on which the function inerease,decrease…

A: follow the solution which is mentioned in step 2.

Q: 3. Find , 9 for the functions: ax' ây sin(x³ + y* ) x* +y , (x,y) = (0,0) f (x.y) = .(x.y) = (0,0)

A: f(x,y)=sinx3+y3x2+y2, x,y≠(0,0)0, (x,y)=(0,0)

Q: If the equation xy+xz3-234yz=0 defines z implicitly as a function of x and y, then the value of az…

A:

Q: Compute the indicated derivative. U(t) = 5.3t2 + 5.3; U′(4) U′(4) =

A: Given: U(t)=5.3t2+5.3 Finding the derivative of the given equation : ddtU(t)=5.3ddt(t2)+ddt(5.3)…

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. y = √x, [9,…

A:

Q: Suppose the preferences of an individual are represented by a quasilinear utility function: U(x, y)…

A: Suppose the preferences of an individual are represented by a quasilinear utility function: U (x, y)…

Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter…

A: Please see the answer below

Q: (c) Compute the derivative of u = Vt² +2vt³.

A:

Q: Determine two functions, defined on the interval (−∞,∞)(−∞,∞), whose Wronskian is given by…

A:

Q: Which of the following is a parameterizatino of the line that passes through the point (5, 4) With a…

A: Let's find.

Q: Which of the following is a parameterization of the line that passes through the point (1, –3) with…

A: First frame the equation then verify all the given option.

Q: Specifically a differential equations problem. Question in pic below. The first "Select" is either…

A: Here, f1(x)=ex+3 and f2(x)=ex-4

Q: 4. Estimate the In (1.1) and sec (0.1) using a linear approximation and without using any kind of…

A:

Q: Suppose F(x,y)=sin²(xy +e"), where x=u² +v and y = In(u² +v). Find the . ƏF ¸ ÔF value of when u =1…

A: The given function is: F(x,y)=sin2xy+eywhere:x=u2+v         and         y=lnu2+v

Q: 1 A point is moving along the graph of the functiony = dy 9x2 + 6 such that dt = 3 centimeters per…

A:

Q: 2. Show that the function u p(xy) + Vry (y/x) provides the equation = 0.

A:

Q: The function y== In (3z - 2) satisfies the IVP: (3z – 2)°y" + 9 = 0, y(1) = 0, y'(1) = 8. Select one…

A:

Q: 5. Given that f (x, y) = sin y, determine fy(x, y).

A:

Q: of of and ду Find f(x,y) = Vx + 3y?

A:

Q: Construct a cubic spline that interpolates sin x at nodes 0, T/2, T, 37/2, 27 (use the true…

A: The given function is fx=sinx and the given node points are x=0,π2,π,3π2,2π. Therefore the given…

Q: Find the derivative of the function. (3x +5) f(x) = In (7x + 5)*(2x+ 8) 14 2 O a. 3x +5 + 7x +5 2x…

A: We have to check

Q: 4. Suppose that F(t) is a differentiable function of one variable. Define the function z(x, y) = e'F…

A: z(x,y) ey F (exy )diff wrt xdzdx = ey F' ex/ye.1/yzx = ey.ex/yyF' (ex/y)and diff wrt ydzdy= ey…

Q: 2- Max z =30 x, + 30 x2 X +2 x2 2 80, 3x +2x2 2 120, Simppler s.t. X, X, 20

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Q: 6) If y=x² +1+ f dt , prove that y"= 2 - x2

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Q: Compute the indicated derivative. U(t) = 5.7t2 - 1.4t; U'(9) U'(9) =

A:

Q: 18. Use the Linear Approximation to f(x, y) = /x/y at (9,4) to estimate 19.1/3.9.

A:

Q: 17. Let f(x, y) = x'y4. Use Eq. (4) to estimate the change Af = f(2.03,0.9) – f(2, 1)

A: You have to just put the value in the function and proceed....go through the solution

Q: 2.2 11, IfF = xyz\+x*y°z}+ xyz k then find div F at (2, 1, – 3).

A:

Q: question 31

A: Consider the given function.

Q: Compute the derivative of g(x) = | 1 dt. 2 1+t5 2" 1+æ15 1+25z 2" In 2 1+æ15 1+25z 2" 1+a15 1+25z 2"…

A:

Q: Find the -of the following function : ду w = cos (x2 + 2 y) – e4x- z*y + y3 .A a w = 2 sin ( x2 + 2…

A:

Q: Find f, and f, for f(x,y)=y In (3x +4y). fx fy

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: 4. Show in two ways that the function f(z) = exp(z²2) is entire. What is its derivative? Ans. f'(z)…

A:

Q: In 5 Find the derivative of y = logs ()) with respect to independent variablex.

A:

Q: 2. Show that cos(wt – B), coswt, sinwt are linearly dependent functions of t. Show Complete Solution

A: Given that: cos(wt-B), coswt, sinwt

Q: In(8z) Siven f(z) the derivative f'(x) is 8. %3D O 8 8x o 1 O 78z 1 8x 1/8

A:

Q: What function should be used to minimize the distance between y = x + 5 and the point (3, 1)? O D(æ)…

A: Explanation of the solution is given below...

Q: 3. Determine if (х — 1)2, if x 1 is differentiable at x = 1.

A: Given  hx=x-12if x≤1x-1if x>1

Q: In(4z+10) Find the derivative of the function f(z) = z'sin(9z + 12) + %3|

A: Given:- f(x)=x4sin(9x+12)+ln4x+10x3 To find:- Derivative of given function

Q: 2. Use a linear approximation to estimate V1.03. 3 If f and a are the functions whose gronhs

A:

Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = x−1, [2,…

A:

Q: 5. Compute the derivative, r'(t), of r(t) = (et-4, t, In(1 – t)).

A:

Q: a) Use the definitlon of derlvative to find ds If dt 2t+1

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: xyz f(x.y.z) = et ot function is given P(2,,4) in point fux + fyy + fzz colculate.

A:

Q: Compute the indicated derivative. U(t) = 5.9t2 + 5.9; U'(4)

A:

Q: If x'y²z3 + zx sin y = 5 defines z as a function of x and y, find . O A. 3x2y2z² +x sin y 2xy2z3 + z…

A:

Q: End fz(3) in terms of the joine pdf of X and Y if

A: From the given information, Let, f(x) be the density function of X. f(y) be the density function of…

Q: 9. If f(x,y) = -cos x+e*y, find Vf(x, y).

A: For the solution follow the next step.