Example 0.5.1. Given the function g(x, y, z) = x² + 2y² + 3z². Find a unit vector u such that the rate of increase of g(x, y, z) at the point (1,2,3) in direction of u is maximum . Evaluate the greatest rate of increase of g in the direction of u.

Q: What values can r take on and what does it mean when r is equal to a) 1 b ) -1 c) 0

A: Consider that r is defined as the correlation coefficient. The correlation of coefficient (r) lies…

Q: 12) If CD = 15 and AB = 17 and CB = 6, fınd AD

A: Given,           In the diagram, CD is tangent to circles A nad B amd the circles are tangent to…

Q: Part II. Each set of premises is followed by four possible conclusions. Which of the fo conclusions…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Please recreate the steps clearly so i can retrace the steps and get a better grasp on the subject.

A: The objective of this question is to simplify the given expression: (5*sqrt(-3))*(-7*sqrt(-12)).

Q: 4. Let A = {i, i + 1}for i=1, 2, 3. and Bx = (0,k) for k=1,2,3. (Note: Be careful about the meaning…

A:

Q: 14) Solve for "x". a) In(x+5) y b) y e-5

A:

Q: #4. A particular high school has 4 clubs. The chess club with 20 members, the card game club with 15…

A: Given           Chess club=20 members          Game club=15 members           Darts club=13 members…

Q: Solvé för æ! NOTE: Completely simplify your answer! If there is more than one answer, enter all of…

A: We have to find x

Q: B) 4 3 1) Find AB for A = 3 1 4 and B=2 5 6 8

A: We have to find AB  that is the multiplication of two matrices.

Q: d) Explain in your own words how Heun's method works.

A: