Use lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x, y) = 2x2y; 2x2 + 4y2 = 12 step 1 we need to optimize f(x, y) = 2x2y subject to the constraint g(x, y) = 2x2 + 4y2 = 12. to find the possible extreme value points, we must use ∇f = λ∇g. we have ∇f = 4xy, $$ correct: your answer is correct. 2x^2 and ∇g = $$ correct: your answer is correct. 4x, $$ correct: your answer is correct. 8y . step 2 ∇f = λ∇g gives us the equations 4xy = 4λx, 2x2 = 8λy. the first equation implies that x = incorrect: your answer is incorrect. or λ = correct: your answer is correct.

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the correct answers i think are b. and d.

give me brainliest if it is correct!

idk

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