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Problem Set A 1. Given that K = {(q,p) | q = R, p =R, p = √7-q}. Determine the Domain and Range of K. 2. Samsung's total revenue curve is R(q) = 126q + 40q2 and its average cost 6930 A(q) = q² + 12q - 1233- a. State the name of the function derived when the average cost, A(q), and Samsung's quantity, q, are multiplied. b. Decompose the revenue function into its individual functions. c. Derive a function for the firm's total profit, II(q). d. Determine the firm's quantity produced and sold when its profit is zero. 3. The unit price of a Tesla car is, p = n(+1), where p and q represent the 0.003q company's price and quantity. Determine: a. The type of function used to represent price. b. The price of the Tesla car when no unit has been produced or sold. 4. Given that h(t)=-3-t²+2t and w(t) = -5+2t a. Using the same axes and scale, draw a well labeled diagram to represent the two functions for the interval [3,-3]. b. From your diagram, state the point(s) where the two functions intercept. is Problem Set B 1. The function h(t) = a. h(-4) b. h(2b-1) c. h¹(t) d. h(t) = 1 7t²-3 5-t² " derive the following: 2. Solve the following equations: logg (w-2)+logg w = 1 3. Toyota's demand curve has the equation 2p - 3q = -6. Determine the following: a. The independent and dependent variables. b. The gradient of Toyota's demand curve. c. The gradient of the straight-line D that is parallel to Toyota's demand curve. d. The equation of the Straight-line H with ordered pair (3,-5) that is perpendicular to Toyota's demand curve. Problem Set C 1. Solve the following inequalities: a. 53-x< 5x-3 125 b. 7 est-25

Problem Set A 1. Given that K = {(q,p) | q = R, p =R, p = √7-q}. Determine the Domain and Range of K. 2. Samsung's total revenue curve is R(q) = 126q + 40q2 and its average cost 6930 A(q) = q² + 12q - 1233- a. State the name of the function derived when the average cost, A(q), and Samsung's quantity, q, are multiplied. b. Decompose the revenue function into its individual functions. c. Derive a function for the firm's total profit, II(q). d. Determine the firm's quantity produced and sold when its profit is zero. 3. The unit price of a Tesla car is, p = n(+1), where p and q represent the 0.003q company's price and quantity. Determine: a. The type of function used to represent price. b. The price of the Tesla car when no unit has been produced or sold. 4. Given that h(t)=-3-t²+2t and w(t) = -5+2t a. Using the same axes and scale, draw a well labeled diagram to represent the two functions for the interval [3,-3]. b. From your diagram, state the point(s) where the two functions intercept. is Problem Set B 1. The function h(t) = a. h(-4) b. h(2b-1) c. h¹(t) d. h(t) = 1 7t²-3 5-t² " derive the following: 2. Solve the following equations: logg (w-2)+logg w = 1 3. Toyota's demand curve has the equation 2p - 3q = -6. Determine the following: a. The independent and dependent variables. b. The gradient of Toyota's demand curve. c. The gradient of the straight-line D that is parallel to Toyota's demand curve. d. The equation of the Straight-line H with ordered pair (3,-5) that is perpendicular to Toyota's demand curve. Problem Set C 1. Solve the following inequalities: a. 53-x< 5x-3 125 b. 7 est-25

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Problem Set A 1. Given that K = {(q,p) | q = R, p =R, p = √7-q}. Determine the Domain and Range of K. 2. Samsung's total revenue curve is R(q) = 126q + 40q2 and its average cost 6930 A(q) = q² + 12q - 1233- a. State the name of the function derived when the average cost, A(q), and Samsung's quantity, q, are multiplied. b. Decompose the revenue function into its individual functions. c. Derive a function for the firm's total profit, II(q). d. Determine the firm's quantity produced and sold when its profit is zero. 3. The unit price of a Tesla car is, p = n(+1), where p and q represent the 0.003q company's price and quantity. Determine: a. The type of function used to represent price. b. The price of the Tesla car when no unit has been produced or sold. 4. Given that h(t)=-3-t²+2t and w(t) = -5+2t a. Using the same axes and scale, draw a well labeled diagram to represent the two functions for the interval [3,-3]. b. From your diagram, state the point(s) where the two functions intercept. is
Transcribed Image Text:Problem Set A 1. Given that K = {(q,p) | q = R, p =R, p = √7-q}. Determine the Domain and Range of K. 2. Samsung's total revenue curve is R(q) = 126q + 40q2 and its average cost 6930 A(q) = q² + 12q - 1233- a. State the name of the function derived when the average cost, A(q), and Samsung's quantity, q, are multiplied. b. Decompose the revenue function into its individual functions. c. Derive a function for the firm's total profit, II(q). d. Determine the firm's quantity produced and sold when its profit is zero. 3. The unit price of a Tesla car is, p = n(+1), where p and q represent the 0.003q company's price and quantity. Determine: a. The type of function used to represent price. b. The price of the Tesla car when no unit has been produced or sold. 4. Given that h(t)=-3-t²+2t and w(t) = -5+2t a. Using the same axes and scale, draw a well labeled diagram to represent the two functions for the interval [3,-3]. b. From your diagram, state the point(s) where the two functions intercept. is
Problem Set B 1. The function h(t) = a. h(-4) b. h(2b-1) c. h¹(t) d. h(t) = 1 7t²-3 5-t² " derive the following: 2. Solve the following equations: logg (w-2)+logg w = 1 3. Toyota's demand curve has the equation 2p - 3q = -6. Determine the following: a. The independent and dependent variables. b. The gradient of Toyota's demand curve. c. The gradient of the straight-line D that is parallel to Toyota's demand curve. d. The equation of the Straight-line H with ordered pair (3,-5) that is perpendicular to Toyota's demand curve. Problem Set C 1. Solve the following inequalities: a. 53-x< 5x-3 125 b. 7 est-25
Transcribed Image Text:Problem Set B 1. The function h(t) = a. h(-4) b. h(2b-1) c. h¹(t) d. h(t) = 1 7t²-3 5-t² " derive the following: 2. Solve the following equations: logg (w-2)+logg w = 1 3. Toyota's demand curve has the equation 2p - 3q = -6. Determine the following: a. The independent and dependent variables. b. The gradient of Toyota's demand curve. c. The gradient of the straight-line D that is parallel to Toyota's demand curve. d. The equation of the Straight-line H with ordered pair (3,-5) that is perpendicular to Toyota's demand curve. Problem Set C 1. Solve the following inequalities: a. 53-x< 5x-3 125 b. 7 est-25
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