) Find the values of t such that the curve ? ??????? ?? ? = ? ^2 , ? = ?^ 3 − 3? is concave up, and concave down. Graph the curve to illustrate the results you found. Show a few values of t on the curve to make your point.
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3. Consider the function f(x) = x2 - 6x^2 - 5 a. Find the values of x such that f'(x) = 0. b. Use the results of part a to: find interval(s) on which the function is increasing and interval(s) on which it is decreasing. c. Find the value(s) of x such that f"(x)=0. d. Use the result of part c to find interval(s) on which f(x) is concave up and interval(s) on which it is concave down. e. Sketch...
Determine the intervals on which the graph of the following curve is concave up/down: x=cos(t) , y=sin(2t) , on [0,2pi] Please show work clearly, thanks!
please explain how you do part (b) clearly.
Given the curve x-t5, y--t+4t +3, find the exact values: 18) a) of the coordinates of the leftmost point on the curve. (Use Calculus and show your work). b) of the parameter t where the graph crosses itself. (Use any method you wish - but show your work). c) of the parameter t where the slope of tangent line to the curve is(Use Calculus and show your work).
find numerical values for the total
2. Static efficiency The demand curve for a product is given by Qd = 400-20P and the supply curve for a product is given by Qs = 16P-32. a. Illustrate the demand curve and the supply curve on the same graph. b. Find the equilibrium price and quantity. c. Find numerical values for the consumer surplus and the producer surplus. d. Identify consumer surplus and producer surplus on your graph. al Find numerical values...
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you answer two of the questions in the phot please.
1. The point P(4. 8) lies on the curve y-(6-x), Suppose Q is the point (x,1 + (6-x)'). a. Find the slope of the secant line PO for the following values of x. 3. 3.99 4. 3.999 6. 4.1 7. 4.01 8. 4.001 the curve at P b. Use your results from part a to make a guess of the slope of the line tangent to c. Use your...
4. For this question, define f(x) = (x - 1)e-(0-1). (a) Find f'(x) and f"(x). (b) Find where S is increasing and where / is decreasing (e) Find where S is concave up and where / is concave down. (a) Find all critical points of . For each point you find, explain whether it is a (relative) maximum, a (relative) minimum or neither. (e) Find all points of inflection of f. For each point you find, explain why it is...
1. a. Consider the curve defined by the following parametric equations: r(t) = et-e-t, y(t) = et + e-t where t can be any number. Determine where the particle describing the curve is when tIn(3) In(2). 0, ln(2) and In(3). Split up the work among your group Onex, vou l'ave found i lose live polnia, try to n"惱; wbai ille wlu le curve "u"ht lex k like. b. Verify that every point on the curve from the previous problem solves...
Suppose an indifference curve is given by the equation U=2*C*T. Assume that initially the consumer owns the bundle C = 20, T = 2. What is the Utility value along this indifference curve? Show your calculations! Other than point, (C, T) = (20, 2), list 3 other points on this indifference curve. Graph the indifference curve including the point (C, T) = (20, 2) and the 3 points you listed in part b. Place T on the vertical axis and...
(1 point) Suppose that f(x) = (??-9) (A) Find all critical values off. If there are no critical values, enter - 1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeWork, you use I for 00,- for -00, and for the union symbol. If there are no values that satisfy the required condition, then enter ")" without the...
1. Consider the following demand curve: Q-250-0.5Q. a) Find an inverse demand curve and sketch it. Indicate intercepts and slope. If this were a firm's demand, which price would generate the highest revenue for the firm? Explain and illustrate on the graph above. b) c) Suppose the demand has increased. Write down a new demand function for the increased demand (ie. you will need to write new demand expression. You may change intercepts and slope) Illustrate on the graph above...