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In Problems 15-18, find the second partials.
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- 2. The Minimum point of y= 8x+4 (x-2)²arrow_forwardA firm producing two goods "X" and "Y" has the profit function Z = 640X – 20X? + 40XY – 40Y² + 320Y – 140 (a) What are the profit-maximizing level of output for each of the two goods?arrow_forward6. (2x +3y = 0 /2x x+2y =-1 9. (1 1 -X+-y 5 1, -x+y%3D10 4arrow_forward
- (5) y + Y 1+x DE -(1+x)²y5) 2 with y(1) = 1arrow_forward(11) If X1 = X2 then vertical lines have undefined slop vertical lines have slop m=0 horizontal lines have undefined sloparrow_forward5). If you have a problem with one dependent variable and two independent ones, show how the errors in the independent variables will impact the dependent one. O dy A1 dx1 + A2 dx2 Ody-A1 dx1 + A2 (dx1)^2 O dy-dy/dx1 dx1 O dy dy/dx1 dx1+dy/dx2 dx2arrow_forward
- The inputs I have are wrong a. f(x + y) = (7x+7y,2x+2y,-7x-7y-2) f(x) + f(y) = (7x,2x,-7x-2) + (7y,2y,-7y-2) Does f(x + y) = f(x) + f(y) for all x, y € R? No, they are not equal b. f(cx)= (7cx,2cx,-7cx-2) c(f(x)) = c 7x,2x,-7x-2 Does f(cx) = c(f(x)) for all c, x ER? No, they are not equal c. Is f a linear transformation? f is not a linear transformation ✓ Note: In order to get credit for this problem all answers must be correct V Varrow_forward_1. The quadratic function y = xi+ 2x-1 is expressed in vertex form y = a(x-h)2+k? a. y=(x+1): + 1 b. y=(x+1): - 2 %3D c. y=(x+1)² + 2 d. y=(x+1): - 1 _2. What is the vertex point of quadratic function y 2x + 4x + 1? b. (1, 1) a. (1, -1) c. (-1, -1) d. (-1, 1) _3. Which of the following is the vertex point of quadratic function y = -2 (x2 -1)? a. (-1,0) b. (1,0) c. (-1, -2) d. (1,-2) 4. Which of the following is the y-intercept of a quadratic function y = (x +1)2 + 3 a.1 b. 2 c.3 d. 4 5. Which of the following table of values represents a quadratic function? a. -2 -1 1 2 3 C. -2 -1 1 2 3 Y 1 2 3 4 5 _Ly -2 -1 1 2 3 b. -3 -2 -1 1 2 d. -2 -1 1 2 3 9. 4 1 1 1 4 -1 -2 -1 7arrow_forward3. Find the maximum/minimum value of y = 2x² + 7x - 10 and where it occurs using partial factoring. (K5) Page 1/2 hp (1+1) .. +arrow_forward
- 11. What is (f+g) (y) for the functions f(y) = 5y²-2y+1 9(y)=-3y²-y-2. ○ (f+g)(y) = (f+g)(x) = 2y² +3y+1 ○ (f+g) (y) = (f+g)(x) = −8y² +y-3 ○ (f+9) (y) = (f+g)(x) = 2y² − 3y-1 O (f+g) (y) = (f+g)(x) = 8y²-y+3arrow_forward19. The owner of a leather craft shop has determined that he can sell x attaché cases if the price is p= D(x) = 46+0.25x dollars. The total cost for these cases is C(x)=0.15x² +6x+190 dollars. a. Find the revenue function R(x). b. Find the profit function P(x). c. Find P(25), P(30), and P(40). d. Find the marginal profit function P'(x). Find P'(25), P'(30), and P'(40).arrow_forwardMake sure your answer is (1,2) with no spaces Graph the following lines on a whiteboard.arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning