Consider the function f(x, y) = 2x² - y²+4x+6y subject to x + 2y = 20 a) Write down the first order conditions. b) Find the extreme point c) Determine the nature of the extreme point.

Q: Solve equation.   -4 | 2x + 1 | + 12 = 0

A:

Q: x+ y+ z = -4 2x+ 4y+ 2z -x+ 8y- 3z - 16 %3D -32 %3D

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Q: 2. 8*-3 = 42x+1

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Q: Solve. 3−2|−8x−4|=7

A: The given term is:  3-2|-8x-4|=7

Q: Solve. Write the answer in interval notation. x² + 5x > 24

A: Here we have , to write in interval notation,  x2+5x>24

Q: Solve for x.

A: a. The given equation is

Q: 4-y² 2-y SŠ *-* zdxdzdy

A: Given:  Let I=∫02∫04-y2∫02-y z dx dz dy To Find: To evaluate the given triple integration.

Q: Solve. x+y+z = 3 2x +y-z = 8 x-y+z = - 5 The solution set is {OID}: (Simplify your answer.)

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Q: solve. Any solution is a real number 2/4x+1 = 3/ x-6

A: Given,          24x+1 = 3x-6

Q: 4m 5m 3m

A:

Q: Solve. List all answers separated by commas. V2x + 15 = x

A: The given equation is 2x+15=x   Squaring both the sides, we get, 2x+152=x22x+15=x2 Now simplifying…

Q: 5. Solve each of the following equations for x: a. 3x+7=9x+1 b. 16+3 64*-5 =

A: Use the exponent rules: 1). amn=am·n 2). If am=an then m=n.     (a). The given equation is:…

Q: 1. Solve for x: 6-3(4+x) = -3(-2x+6) 2. Solve for x: et - 2 = 10 3.

A: Given: 1) 6-3(4+x)=-3(-2x+6) 2)  ex/3  -2=10