For this problem, consider the function z = f(x, y) = e™²-y° and focus on the point (1, 1, f(1,1)) = (1,1, 1). (a) Compute Vf(x, y). (b) For the unit vector u = (1/2, /(3)/2), compute f;(1, 1). (c) Is there a unit vector v in R? such that f;(1, 1) = -V8? If so, find it. If not, explain why. 3 (d) Find a vector n in Rº that is orthogonal to the surface z = f(x,y) at the point (1, 1, 1). (e) Find the equation for the tangent plane to z = f(x,y) at the point (1, 1, 1).

Q: 18 A D. 5x-7

A: Given ,  We have to find value of x

Q: A B C Total 47 Male 12 20 15 |Female 13 11 5 Total 25 31 20 29 76

A: Given data: The grades and gender of a group of students regarding to test is tabulated. Total…

Q: 2. In the figure above, m || n and y 5x. What is the value of y ?

A:

Q: an event. To make sure he doesn't run out, he plans to bring more of the size most likely to be…

A:

Q: Q 11 13 T. R.

A: by secant formula, we will find out this

Q: Determine the absolute extreme values of f(x) if the graph of f'(x) is shown b ↑f'(x) -5 -4 -3 +2 7…

A: We are asked to find the extreme value of the graph

Q: 4. Find tricingeo. FincX 3.2 2.7

A:

Q: Find

A:

Q: 8. Which graph has three real zeros, one of which is -2? 9. Which graph has two real zeros, both of…

A: Graph of the function is given, we have to find the following graphs.

Q: Luestic Given the circumference of the circle and the measure of the central angle ACB, find the…

A:

Q: answer b and c ...

A:

Q: \lim_{x\rightarrow 7}\frac{x^2-5x-24}{x^2-4x-32}x→7lim​x2−4x−32x2−5x−24​

A: find out the limits of  a)limx→7 x2-5x-24x2-4x-32 b)limx→7x2-4x-32x2-5x-24

Q: Jason has a part-time job. The table below shows the number of hours he worked and how much money he…

A: Hours per day Money earns 4 $39.00 5 $48.75 7 $68.25 Total = 16 156

Q: Evaluate. x°dx O A. + C 1 O B. gx9 +C O C. 9x9 + C O D. 8x7 +C

A: Topic: integration

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.