Consider the function F(x, y, z) = x2 â yz + x2 and the point P(-3,5, -1). a. Find the direction (this doesn't need to be a unit vector) in which F increases most rapidly at the point P.
b. Compute the maximum rate of change for F at P.
c. The level surface of F which passes through P is S: x^2 â yz + x^2 = 15. Find an equation in standard form for the tangent plane to s at P.
d. Find a set of parametric equations for the line normal to s at P.

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

do practice tests.

note: the best i know.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168

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