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(d) what happens to the cost as the percent of pollution removed approaches 100%? 6: Find...
The percent p of particulate pollution that can be removed from the smokestacks of an industrial...
The percent p of particulate pollution that can be removed from the smokestacks of an industrial plant by spending C dollars is given by the following equation. 100C p = 5700 +C Find the percent of the pollution that could be removed if spending C were allowed to increase without bound. Can 100% of the pollution be removed? Explain. 100% of the pollution can be removed. There is a limited cost. 100% of the pollution cannot be removed. The cost...
+ -/4 points HarMathAP12 2.4.045.0/15 Submissions Used Suppose that the cost C (in dollars) of removing...
+ -/4 points HarMathAP12 2.4.045.0/15 Submissions Used Suppose that the cost C (in dollars) of removing P percent of the particulate pollution from the smokestacks of an industrial plant is given by 7600p C(O) = 100-P (a) Is C) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.) p= (b) What is the domain of cp) as given by the equation? (Enter your answer using interval notation.) (c) What is the domain of...
6. Find values for a,b,c,d so that the curveyx + x + bx? + + has...
6. Find values for a,b,c,d so that the curveyx + x + bx? + + has a tangent line at whose equation is y = 2x + 1 and a tangent line at: - I whose equation is y=2-3x
Consider two polluting firms that want to abate 100 units of pollution together, in the cheapest...
Consider two polluting firms that want to abate 100 units of pollution together, in the cheapest way possible. Their total abatement costs are given below: TAC1 (x1) = x12 & TAC2 (x2) = 3x22 (1 point) Find an equation for the Aggregate Total Abatement Cost that combines the two firms (ATAC). In other words, sum TAC1 and TAC2. (1 point) Using the equality x1 + x2 = 100, find the ATAC equation in terms of x1 only. (1 point) What values...
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s)....
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x...
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x + 3y = 7 . Find the equation of the line passing through (5, 2) and (− 3, 2) . Graph the following functions and find the x − intercept, y - intercept, slope in each case. 7x − 4y = 10 2y − x − 1 = 0
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"-...
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use t...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. 120 340 120 370 (a) x 180 calories (c)...
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y =...
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
a) igg 6)-10 ()-30 d) z 15 Find the equation of the tangent place to the...
a) igg 6)-10 ()-30 d) z 15 Find the equation of the tangent place to the surface 2=x²tly at the point (2,1,8) a) 4x 184 -Z=8 6) 3+ 4y +2=-2 () +-7+82=4 d) -x +41 +82=0
The percent p of particulate pollution that can be removed from the smokestacks of an industrial plant by spending C dollars is given by the following equation. 100C p = 5700 +C Find the percent of the pollution that could be removed if spending C were allowed to increase without bound. Can 100% of the pollution be removed? Explain. 100% of the pollution can be removed. There is a limited cost. 100% of the pollution cannot be removed. The cost...
+ -/4 points HarMathAP12 2.4.045.0/15 Submissions Used Suppose that the cost C (in dollars) of removing P percent of the particulate pollution from the smokestacks of an industrial plant is given by 7600p C(O) = 100-P (a) Is C) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.) p= (b) What is the domain of cp) as given by the equation? (Enter your answer using interval notation.) (c) What is the domain of...
6. Find values for a,b,c,d so that the curveyx + x + bx? + + has a tangent line at whose equation is y = 2x + 1 and a tangent line at: - I whose equation is y=2-3x
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. 120 340 120 370 (a) x 180 calories (c)...
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
a) igg 6)-10 ()-30 d) z 15 Find the equation of the tangent place to the surface 2=x²tly at the point (2,1,8) a) 4x 184 -Z=8 6) 3+ 4y +2=-2 () +-7+82=4 d) -x +41 +82=0
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