Consider the following. f(x, y) = x³ + y³ − 3x² + 6y² + 3x + 12y + 7 (a) Find the critical point. (x, y) = (b) Test for relative extrema. O The critical point is an absolute maximum. The critical point is an absolute minimum. The critical point is a saddle point. (c) List the critical points for which the Second Partials Test fails. (x, y) =

Q: 3. √11

A:

Q: Solve the given initial-value problem. y(x) = y" + 4y + 4y = (7 + x)e-2x, y(0) = 5, y'(0) = 8

A: We have to solve the given initial value problem.

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Let's find distance of objects travel from t=0 to t=45.

Q: 5 -100 12 8

A: Solve the given

Q: 5(18)

A: To find5(18)

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: We need to find lower and upper estimate.

Q: 8.91x1.26

A: Answer of this multiplication is 11.2266

Q: 3) 24 12

A: We can find the value of x as below

Q: 12 wikon 3.

A:

Q: 40 10

A:

Q: 6   9,171.6

A:

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: 8 13

A:

Q: 11 11 4. 64

A: Given: simplify the expression

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 2. 27

A:

Q: elow is an incomplete probability model showing the likelihood of selecting a marble from a way.…

A: Second option is correct 3/10

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: —5л 6.

A:

Q: N 11 9

A: Here given that N/9=11

Q: 18 16

A: The objective is to find the value of x :  In the  given right triangle , Perpendicular = 16…

Q: 8. 11

A: Given perpendicular side to given angle is 11 and adjacent side of given angle is 8. We know that,…