Find the critical points of the functions f(x, y)=x2+2y2−4y+8x, g(x, y)=x2−6xy+y
Use the Second Derivative Test to determine the local minimum, local maximum, and saddle points.
(Give your answer as a comma-separated list of points in the form (∗,∗) where needed. Express numbers in exact form. Use symbolic notation and fractions where needed.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

answer is (b.

164 ft2)

a base  

18

b base  

7

h height  

8

true

step-by-step explanation:

intersecting chords are just lines that intersect. so a line is equal to 180 degrees, so when it is intersected by another chord, then it create supplementary angles, and because the lines cross, vertical angels are also formed.