Question 1 X= y= ▼ • Use partial derivatives to locate critical points for a function of two variables. Find the values of x, y and z that correspond to the critical point of the function: = f(x, y) = 3x² + 8x - 7y + 5y² +7xy 2= Enter your answer as a decimal number, or a calculation (like 22/7). 2= < Question Help: Video Submit Question > (Round to 4 decimal places) (Round to 4 decimal places) (Round to 4 decimal places)

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

Q: nd the tangent plane to the surface z = cos(xy) + x²y at the point (x, y, z) = (1, ½, 7).

A:

Q: Let s= f(x, y, z) and x = the following pieces of data do you NOT need? Ox(2, 5, 1) = 6 Of(6,9,7): =…

A:

Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: What are the other types of problems where differentation/derivatives concepts are used? Give an…

A: To find the differentiation concepts used used problem and provide an example with solution.…

Q: Given a metal bar of length 1 meter and of constant section (S) which is very close to zero. The…

A: Given differential equation is heat equation,  k∂2θ∂x2=∂θ∂t       .......1 Where k is Thermal…

Q: a2u 1 du 1 a?u = 0, ar? r dr (r,0) = 0, u(r,t)= 0, 0 <rsland u(1,0) = 0 pour 0ses %3D

A: Given,                  ∂2u∂r2+1r∂u∂r+1r2∂2u∂θ2=0                             (1)with u(r,0)=0,…

Q: #10-11 y=tan(x/3) #12-13 y=sin(0.5√x)/x #14-15 y=e+x at x = 3 at x = 1 at x = 2

A:

Q: Explain how to find a first partial derivative of a function oftwo variables.

A: To get the first partial derivative of a function z = f(x, y) with respect to x we have to…

Q: Vx+1(2-x)5 8) y = (x+3)7 Find the derivative

A: We have to solve

Q: Explain Partial Derivatives of a Function of Two Variables?

A: Partial derivatives of Two variables : If z = f(x, y) , then first partial derivative of f with…

Q: lim (sec 2x) cot? 3x x→0

A: Limit that are end up in indeterminate form which are 00, ∞∞, ∞-∞, 00, 1∞, ∞0, 0·∞, we use…

Q: Please provide a clear example of real life computation and application of derivatives

A: There will be several real life examples of the application of derivatives. some of them listed…