Section 2.10: (page 154) Numbers 1-4 all

Section 2.11: (page 159) Numbers 1-17 odd

textbrokercom X *9 Final Exam X Canvas LMS X __ Untitled document - Google X 6 BusCalc.pdf X t Course Hero X 7 7 C 0 A NotSecure opentextbookstoreloom/buscaIc/BusCalcpdf Q i) '1'! * El 0 Suggested Sites ' Gmail > YouTube Disney+ canvas 6 find cards saved 0... BusCalc.pdf 154 / 272 Chapter 2 The Derivative Business Calculus 2.10 Exercises 1, If g(20) = 35 and g'(20) = 72 , estimate the value of g(22). 2. If g(l): 17and g'(l): 5 , estimate the value of g(l.2). 3, Use the Tangent Line Approximation to estimate the cube root of 9. 4, Use the Tangent Line Approximation to estimate the fth root of 30. 5, A rectangle has one side on the xiaxis, one side on the yiaxis, and a corner on the graph of y = x2 + 1 . (a) Use Linear Approximation of the area formula to estimate the increase in the area of the rectangle if the base grows from 2 to 2.3 inches. (b) Calculate exactly the increase in the area of the rectangle as the base grows from 2 to 2.3 inches. . You can measure the diameter of a circle to within 0,3 cm (a) How large is the "error" in the calculated area of a circle with a measured diameter of 7.4 cm? (b) How large is the "error" in the calculated area of a circle with a measured diameter of 13.6 cm? (c) How large is the percentage error in the calculated area of a circle with a measured diameter of d? 7. The demand function for Alicia's oven mitts is given by q 2 8 p + 80 (q is the number of oven mitts, p is the price in dollars), Find the elasticity of demand when p = $7.50. Will revenue increase if Alicia raises her price from $7.50? 8. The demand function for Shaki's danglies is given by q 2 35 p + 205 (q is the number of danglies, textbroker.com X -out- Final Exam X Canvas LMS x Untitled document - Google [ X BusCalc.pdf X *Course Hero X -> C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube Disney+ canvas find cards saved o... Other Bookmarks BusCalc.pdf 159 / 272 99% 2.11 Exercises In problems 1 - 10 find dy/dx by differentiating implicitly then find the value of dy/dx at the 157 given point. 1. x2 + y =100, point (6, 8) 2. x2 + 5y =45, point (5, 2) 3. x2 - 3xy + 7y =5 , point (2,1) 4. Vx + Vy =5, point (4,9) 5 . A 16 = 1 , point (0,4) = 1 , point (3,0) 7. In(y) + 3x - 7 =0 , point (2,e) 8. x2 - y = 16 , point (5,3) 158 9. x2 - y? = 16 , point (5, -3) 10. y + 7x3 - 3x =8 , point (1,2) 11. Find the slopes of the lines tangent to the graph in x = 4y-yz shown at the points (3,1), (3,3), and (4,2) . ( 3, 3 ) 12. Find the slopes of the lines tangent to the graph in shown where the graph crosses the y-axis (3, 1) 159 13. Find the slopes of the lines tangent to the graph in graph shown at the points ((5,0), (5,6), and (-4,3). 14. Find the slopes of the lines tangent to the graph in the graph shown where the graph crosses the y-axis. 160 In problems 15-16, find dy/dx using implicit differentiation and then find the slope of the line tangent to the graph of the equation at the given point. 15. y' - 5y = 5x2 +7 , point (1,3) 16. y - 5xy + x + 21 = 0, point (2,5)textbrokercom X *9 Final Exam X Canvas LMS X _ Untitled document - Google X 6 BusCaIc.pdf X t Course Hero X 7 7 C 0 A NotSecure opentextbookstoreloom/buscaIc/BusCalcvpdf Q i) '1'! * El 0 Suggested Sites ' Gmail > YouTube Disney+ canvas 6 find cards saved on. BusCalc.pdf 160 / 272 15.y35y=5x2+7 , point (1,3) 16.y25xy+x2+21= 0, point (2,5) Chapter 2 The Derivative Business Calculus 17' An expandable sphere is being lled with liquid at a constant rate from a tap (imagine a water balloon connected to a faucet). When the radius of the sphere is 3 inches, the radius is 4 increasing at 2 inches per minute, How fast is the liquid coming out of the tap? (V = g 1: r3 ) . The 12 inch base of a right triangle is growing at 3 inches per hour, i and the 16 inch height is shrinking at 3 inches per hour (a) Is the area increasing or decreasing? (b) Is the perimeter increasing or decreasing? (c) Is the hypotenuse increasing or decreasing? . One hour later the right triangle in Problem 2 is 15 inches long and 13 inches high, and the base and height are changing at the same rate as in Problem 18. (a) Is the area increasing or decreasing now? (b) Is the hypotenuse increasing or decreasing now? (c) Is the perimeter increasing or decreasing now? . A young woman and her boy'iend plan to elope, but she must rescue him from his mother who has locked him in his room The young woman has placed a 20 foot long ladder against his house and is knocking on his window when his mother begins milling