![(1 point) Find the area under the curve 2x-1 on the interval [1, 4.5] -4.5 Lo 2x-1 dx = (Round to three decimal places)](http://img.homeworklib.com/questions/11bcb8d0-f7ec-11eb-bcec-69b7610ea152.png?x-oss-process=image/resize,w_560)
![(1 point) Find the area under the curve f(x) = 2x - et on the interval (-6,3]. (2-e) at = (Round to three decimal places or l](http://img.homeworklib.com/questions/126c0450-f7ec-11eb-a594-3dcb5cbcce62.png?x-oss-process=image/resize,w_560)
![(1 point) The cost function for a product is C(x) = 0.3x2 + 120x + 140. Find average cost over [0, 550]. Answer: (Round to th](http://img.homeworklib.com/questions/16bffed0-f7ec-11eb-9015-9f133b920381.png?x-oss-process=image/resize,w_560)
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(1 point) A company finds that the rate at which the quantity of a product that...
A company finds that the rate at which the quantity of a product that consumers demand...
A company finds that the rate at which the quantity of a product that consumers demand changes with respect 3000 to price is given by D'(x) where x is the price per unit, in dollars. Find the demand function if x2 it is known that 502 units of the product are demanded by consumers when the price is $6.00 per unit. D(3C) =
A one product company finds that its profit. P. in millions of dollars, is given by...
A one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
A company estimates that its sales will grow continuously at a rate given by the function...
A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 10 et where S'(t) is the rate at which sales are increasing, in dollars per day, on day t a) Find the accumulated sales for the first 3 days. b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.) 1. a) The accumulated sales for the first 3 days is $ (Round...
D Question 1 1 pts If the cost of a certain product is given by C(x)...
D Question 1 1 pts If the cost of a certain product is given by C(x) - 130.4x find the marginal average cost function and use it to compute the marginal average cost of production when 5 items are produced. Give answer rounded to two decimal places. (1 point) Question 2 1 pts Gluen y = [lx' +2x + 4)(x + 1)l' calculate the derivative of this function when x 2 The derivative is L? (1 point 1 pts Question...
A small company of science writers found that its rate of profit (in thousands of dollars)...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below P'(t) = (6t+6)(?? +21+2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation c. What is happening to the annual profit over the long run? a. The profit in the first three years is $ (Round to the nearest dollar as needed.)
Y 240 All boxes with a square base, an open top, and a volume of 60...
Y 240 All boxes with a square base, an open top, and a volume of 60 ft have a surface area given by S(x)= x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). 240 S'(x) = 2x- The absolute minimum value of the surface...
Business calc 1. A stereo manufacturer finds that at a price of $500 per stereo, the...
Business calc
1. A stereo manufacturer finds that at a price of $500 per stereo, the demand is 625 stereos per month, while at a price of $400 per stereo, the demand is 675 stereos per month. Fixed costs are $2250 per month and total costs are $6,250 per month at a monthly output of 400 stereos Find the price-demand equation p(x), where p is the price in dollars at which x stereos can be sold. (b) Find the revenue...
A company Inc. finds that it costs $200 to produce each motorized scooter and that the...
A company Inc. finds that it costs $200 to produce each motorized scooter and that the forced costs are $1,000 per day yielding the cost function C(x) = 200x + 1,000 The price is given by p=600 - 5x, where p is the price in dollars at which exactly x scooters will be sold. Find the quantity of scooters that the company Inc. should produce and the price it should charge to maximize profit. Find the maximum profit How many...
Use implicit differentiation to find the following. (Round answers to four decimal places as needed. If...
Use implicit differentiation to find the following. (Round answers to four decimal places as needed. If only th (xy)2 + xy - x = 3,(-3,0) (a) the expression of the slope of the tangent line in terms of x and y dy. -2012 – y + 1 dx2xy + x (b) the equation of the tangent line at the indicated point on the graph y = Use implicit differentiation to find the following. (Round answers to four decimal place In(x...
A company determines that its marginal revenue per day is given by R'(t), where R(t) is...
A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' (t), where C(t) is the total accumulated cost, in dollars, on the th day. R' (t) = 140 e'. R(O)=0; C' (t) = 140 -0.75, C(O) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)...
A company finds that the rate at which the quantity of a product that consumers demand changes with respect 3000 to price is given by D'(x) where x is the price per unit, in dollars. Find the demand function if x2 it is known that 502 units of the product are demanded by consumers when the price is $6.00 per unit. D(3C) =
A one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 10 et where S'(t) is the rate at which sales are increasing, in dollars per day, on day t a) Find the accumulated sales for the first 3 days. b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.) 1. a) The accumulated sales for the first 3 days is $ (Round...
D Question 1 1 pts If the cost of a certain product is given by C(x) - 130.4x find the marginal average cost function and use it to compute the marginal average cost of production when 5 items are produced. Give answer rounded to two decimal places. (1 point) Question 2 1 pts Gluen y = [lx' +2x + 4)(x + 1)l' calculate the derivative of this function when x 2 The derivative is L? (1 point 1 pts Question...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below P'(t) = (6t+6)(?? +21+2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation c. What is happening to the annual profit over the long run? a. The profit in the first three years is $ (Round to the nearest dollar as needed.)
Y 240 All boxes with a square base, an open top, and a volume of 60 ft have a surface area given by S(x)= x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). 240 S'(x) = 2x- The absolute minimum value of the surface...
Business calc
1. A stereo manufacturer finds that at a price of $500 per stereo, the demand is 625 stereos per month, while at a price of $400 per stereo, the demand is 675 stereos per month. Fixed costs are $2250 per month and total costs are $6,250 per month at a monthly output of 400 stereos Find the price-demand equation p(x), where p is the price in dollars at which x stereos can be sold. (b) Find the revenue...
A company Inc. finds that it costs $200 to produce each motorized scooter and that the forced costs are $1,000 per day yielding the cost function C(x) = 200x + 1,000 The price is given by p=600 - 5x, where p is the price in dollars at which exactly x scooters will be sold. Find the quantity of scooters that the company Inc. should produce and the price it should charge to maximize profit. Find the maximum profit How many...
Use implicit differentiation to find the following. (Round answers to four decimal places as needed. If only th (xy)2 + xy - x = 3,(-3,0) (a) the expression of the slope of the tangent line in terms of x and y dy. -2012 – y + 1 dx2xy + x (b) the equation of the tangent line at the indicated point on the graph y = Use implicit differentiation to find the following. (Round answers to four decimal place In(x...
A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' (t), where C(t) is the total accumulated cost, in dollars, on the th day. R' (t) = 140 e'. R(O)=0; C' (t) = 140 -0.75, C(O) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)...
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