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If Y=10X+ square of X then the slope of Y, at X=2 is
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- Consider the function Y5X03203, where X and Z are both greater than or equal to zero. Complete the following table by calculating the value of Y for each set of values for X and Z. X 16 18 1 8 20 16 14 N 10 6 Use the blue curve (circle symbols) to graph the values from the previous table that correspond to the contour line when Y=20. Use the green curve (triangle symbols) to graph the values from the previous table that correspond to the contour line when ya 30. Finally, use the purple curve (diamond symbols) to graph the values from the previous table that correspond to the contour line when y=40. 5 4 2 z 16 6 D 4 1 1 16 8 18 Y 0 0 10 X 12 14 10 10 20 Contour Line Y 20 N Contour Line Y 30 B Contour Line Y 40What is the size of the error term for the observation indicated by the arrow in the graph below? Y 280 236 200 215 280 360The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x)=64x-0.020x² 0≤x≤3200 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and interpret the results. ... (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. 23 (Round to one decimal place as needed.) (B) R'(x) =
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- A rental car company has a special deal on one of the available rentals. Let C be the cost, in dollars, of the rental car as a function of the distance d, in miles, it is driven in one day. A. What would the value C(75) represent in this context? B. Is function Cincreasing or decreasing? What are the units of the slope in this situation? C. Identify any maximum or minimum values of the function. What do they represent in this situation? State any assumptions that you make. D. Would the graph of C have any intercepts? What would they represent in this situation? E. Write a rule for C(d), and sketch a graph of the function.A reflecting telescope has a parabolic mirror for which the distance from the vertex to the focus is 34 feet. If the distance across the top of the mirror is 70 inches how deep is the mirror in the center? A) 1225/19584 in. B) 289/35 in. C) 1225/1632 in. D) 1225/136 in. Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = t^3 + 1, y = t^3 - 15; -2 lessthanorequalto t lessthanorequalto 2 A) y = x - 16; -7 lessthanorequalto x lessthanorequalto 9 B. y = -x^2; -4 lessthanorequalto x lessthanorequalto 4 C) y = -x - 16; -7 lessthanorequalto x lessthanorequalto 9 D) y = x^3; -3 lessthanorequalto x lessthanorequalto 1 Solve the problem. Round to the nearest if needed. To save for retirement, you decide to deposit $2000 into an IRA at the end of each year for the next 40 years. If the interest rate is 9% per year compounded annually, find the value of the IRA after 40 years. A) $60, 819 B) $24, 330, 719 C) $675, 765 D) $618, 133…Solve the following LPP Max Z = 8 X1 + 10 X2 + 12 X3 X1 + X2> = 22 X1 - X2 = N - 24 X2, Where N is your Number=80 X1, X2, X3> = 0 If the question can be solved by using the graphical method if it can be solved by graphical method find the value of the variables with the objective function. And if it is not possible, explain the reason and suggest a method of solution. Write below your final results or the conclusions you reach
