Use the Chain Rule to find az/as and az/at. z = e-3x +7y, x = s/t, y = t/s əz as əz at =

Q: Approximate (26)"3 by using a linear approximation.

A: (26)1/3 y= f(x) = (x)1/3 When  x=27, f(x) = 3   x + Δ x = 26 Δx = -1;   f(x+Δx) = ?

Q: .3 If U = 2– x, | x 2-xdx=

A:

Q: If z = x² - xy + 3y2 and (x, y) changes from (3,-1) to (2.96,-0.95), compare the values of Az and…

A:

Q: F .2 .2 x- +y at A=(2, 3), B=(-2, 2) and C=(3, -4).

A: 1.) div F at A(2,3) = <4,6>2.) div F at B(-2,2) = <-4,4>3.) div F at C(3,-4) =…

Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: Find å · 5 for å = (4,1, and 5 = (6, –3, –8

A:

Q: Find a relationship between x,y and z with reasons

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Q: Find tan a. V[?] r (V5, -v7)

A: GIVEN: A figure is given

Q: Find u•v

A: As   u = -12,2         v = 1,6   So,  u→=-12 i+2 j        v→= i+6 j

Q: Let X: EXP(0). suppose Y= 2x , the Y is i = 1 Select one: a. Gamma (n,-) b. Camma(n. 4) С.…

A:

Q: The temperature at a point (x, y) on a rectangular metal plate is given by T(x, y) = 100 - 2x2 - y2.…

A: Given: T(x,y) = 100-2x2 -y2We have to find the path a heat-seeking particle will take, starting at…

Q: ImAB = 1 with A(-1; 2) and B(4; y)

A: Find the value of y

Q: Prove that P(Ø) = 0. Hint: Let A, = Ø for all i in equation (1.3.3).

A: Consider that

Q: xy2 = 8 at (2,2)

A: Substitute x=2 and y=2 in the given function xy2

Q: Find a value for x so that distance from (x,3,6) to the origin is 9

A:

Q: 5- 24 1+ A to A' type your answer. B' type your answer. and C' type your answer.

A: The given data is:   From the graph, the coordinate of A2,-3, B5,-4, and C2,-4 To find the…

Q: Find the centroid of the plane area shown below using integration. y²= 3x - y = x²/3 -X

A: The centroid or geometric centre of a plane figure is the arithmetic mean position of all the points…

Q: If y-2xy 21, then dy dx at the point (2,-3) is

A: We have to find dydx at the point 2, -3 for the equation or expression: y2-2xy=21 We know the…

Q: The linearization of_z = y√x_atx=16 and y=1 is

A: Linearization is defined as the finding of a linear approximation to a given function at a given…

Q: form y = mx + b that repres

A: From given graph it is clear that

Q: az Find for z = e2z-y.

A: Given : z = e2x - y

Q: An object moves in a straight line so that its velocity after t seconds is v(t) = 2/t – t. Determine…

A: Given, Velocity of the particle v(t) = 2t -t Particle is moving in the straight line We have to find…