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- https://math.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/MATH_110%3A_Techniques_of_Calculus_I_(Gaydos)/01%3A_Review/1.E%3A_Review_(Exercises)A phone company charges for service according to the formula: \(C(n) = 24+0.1n\), where \(n\) is the number of minutes talked, and \(C(n)\) is the monthly charge, in dollars. The height of a ball thro...A phone company charges for service according to the formula: \(C(n) = 24+0.1n\), where \(n\) is the number of minutes talked, and \(C(n)\) is the monthly charge, in dollars. The height of a ball thrown in the air is given by \(h(x) = -\frac{1}{12}x^2+6x+3\), where \(x\) is the horizontal distance in feet from the point at which the ball is thrown.
- https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/01%3A_Review/1.02%3A_Operations_on_Functions/1.2.E%3A_ExercisesIf \(f(x) = x^2+1\), \(g(x) = \frac{1}{x}\), and \(h(x) = x+3\), find \(f(g(h(x)))\) The function \(D(p)\) gives the number of items that will be demanded when the price is \(p\). To determine the cos...If \(f(x) = x^2+1\), \(g(x) = \frac{1}{x}\), and \(h(x) = x+3\), find \(f(g(h(x)))\) The function \(D(p)\) gives the number of items that will be demanded when the price is \(p\). To determine the cost of production when the price is $6, you would do which of the following: The function \(A(d)\) gives the pain level on a scale of 0-10 experienced by a patient with \(d\) milligrams of a pain reduction drug in their system.
- https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/01%3A_Review/1.03%3A_Linear_Functions/1.3.E%3A_ExercisesA phone company charges for service according to the formula: \(C(n) = 24+0.1n\), where \(n\) is the number of minutes talked, and \(C(n)\) is the monthly charge, in dollars. A phone company charges f...A phone company charges for service according to the formula: \(C(n) = 24+0.1n\), where \(n\) is the number of minutes talked, and \(C(n)\) is the monthly charge, in dollars. A phone company charges for service according to the formula: \(C(n) = 26+0.04n\), where \(n\) is the number of minutes talked, and \(C(n)\) is the monthly charge, in dollars.
- https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/01%3A_Review/1.07%3A_Exponential_Functions/1.7.E%3A_ExercisesIf $4,000 is invested in a bank account at an interest rate of 7 per cent per year, find the amount in the bank after 9 years if interest is compounded annually, quarterly, monthly, and continuously. ...If $4,000 is invested in a bank account at an interest rate of 7 per cent per year, find the amount in the bank after 9 years if interest is compounded annually, quarterly, monthly, and continuously. If $6,000 is invested in a bank account at an interest rate of 9 per cent per year, find the amount in the bank after 5 years if interest is compounded annually, quarterly, monthly, and continuously.
- https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/01%3A_Review/1.01%3A_Functions/1.1.E%3A_ExercisesThe amount of garbage, \(G\), produced by a city with population \(p\) is given by \(G = f(p)\). \(G\) is measured in tons per week, and \(p\) is measured in thousands of people. The number of cubic y...The amount of garbage, \(G\), produced by a city with population \(p\) is given by \(G = f(p)\). \(G\) is measured in tons per week, and \(p\) is measured in thousands of people. The number of cubic yards of dirt, \(D\), needed to cover a garden with area \(a\) square feet is given by \(D = g(a)\). Select all of the following graphs which represent \(y\) as a function of \(x\). Select all of the following tables which represent \(y\) as a function of \(x\).
- https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/01%3A_Review/1.04%3A_Exponents/1.4.E%3A_ExercisesExercise \(\PageIndex{1}-\PageIndex{8}\) 1. \(x^3x^5\) 2. \(x^4x^2\) 6. \(\left(5x^4\right)^2x^5\) 7. \(\frac{\left(3x^2\right)^2}{6x^3}\) 8. \(\frac{5x\left(4x\right)^2}{2x^2}\) Simplify, and rewrite...Exercise \(\PageIndex{1}-\PageIndex{8}\) 1. \(x^3x^5\) 2. \(x^4x^2\) 6. \(\left(5x^4\right)^2x^5\) 7. \(\frac{\left(3x^2\right)^2}{6x^3}\) 8. \(\frac{5x\left(4x\right)^2}{2x^2}\) Simplify, and rewrite without negative exponents 11. \(x^{-4}x^2\) 12. \(x^{-2}x\) Rewrite using positive or fractional exponents 15. \(\frac{4}{x^{-5}}\) 16. \(\frac{4}{x^{-3}}\) 18. \(\sqrt[4]{x}\) 19. \(\frac{4}{\sqrt[3]{x}}\) 21. \(4x^{-\frac{1}{2}}\) 23. \(2x^{\frac{1}{3}}\)
- https://math.libretexts.org/Courses/Chabot_College/MTH_15%3A_Applied_Calculus_I/01%3A_Prerequisite_Review/1.E%3A_Review_(Exercises)A phone company charges for service according to the formula: \(C(n) = 24+0.1n\), where \(n\) is the number of minutes talked, and \(C(n)\) is the monthly charge, in dollars. The height of a ball thro...A phone company charges for service according to the formula: \(C(n) = 24+0.1n\), where \(n\) is the number of minutes talked, and \(C(n)\) is the monthly charge, in dollars. The height of a ball thrown in the air is given by \(h(x) = -\frac{1}{12}x^2+6x+3\), where \(x\) is the horizontal distance in feet from the point at which the ball is thrown.
- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_2160%3A_Applied_Calculus_I/06%3A_Algebra_Review/6.E%3A_Review_(Exercises)A phone company charges for service according to the formula: \(C(n) = 24+0.1n\), where \(n\) is the number of minutes talked, and \(C(n)\) is the monthly charge, in dollars. The height of a ball thro...A phone company charges for service according to the formula: \(C(n) = 24+0.1n\), where \(n\) is the number of minutes talked, and \(C(n)\) is the monthly charge, in dollars. The height of a ball thrown in the air is given by \(h(x) = -\frac{1}{12}x^2+6x+3\), where \(x\) is the horizontal distance in feet from the point at which the ball is thrown.
- https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/01%3A_Review/1.05%3A_Quadratics/1.5.E%3A_ExercisesThe height of a ball thrown in the air is given by \(h(x) = -\frac{1}{12}x^2+6x+3\), where \(x\) is the horizontal distance in feet from the point at which the ball is thrown. What is the maximum heig...The height of a ball thrown in the air is given by \(h(x) = -\frac{1}{12}x^2+6x+3\), where \(x\) is the horizontal distance in feet from the point at which the ball is thrown. What is the maximum height of the ball? How far from the thrower does the ball strike the ground? Its height is given by \(h(x)=-\frac{1}{20}x^2+8x+6\), where \(x\) is the horizontal distance in feet from the point at which the javelin is thrown. How far from the thrower does the javelin strike the ground?
- https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/01%3A_Review/1.08%3A_Logarithmic_Functions/1.8.E%3A_ExercisesThe population of Kenya was 39.8 million in 2009 and has been growing by about 2.6% each year. The population of Algeria was 34.9 million in 2009 and has been growing by about 1.5% each year. If $1000...The population of Kenya was 39.8 million in 2009 and has been growing by about 2.6% each year. The population of Algeria was 34.9 million in 2009 and has been growing by about 1.5% each year. If $1000 is invested in an account earning 3% compounded monthly, how long will it take the account to grow in value to $1500? If $1000 is invested in an account earning 2% compounded quarterly, how long will it take the account to grow in value to $1300?
- https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/01%3A_Review/1.06%3A_Polynomials_and_Rational_Functions/1.6.E%3A_ExercisesFor each function, find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal asymptote. A scientist has a beaker containing 30 mL of a solution containing 3 g...For each function, find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal asymptote. A scientist has a beaker containing 30 mL of a solution containing 3 grams of potassium hydroxide. Write an equation for the concentration in the tank after adding \(n\) mL of the second solution. What is the behavior as \(n \to \infty\), and what is the physical significance of this?
