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8. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.050. Find an equation of the tangent line to the graph of y = x(x + 2) 4 at the point (1, 81). Need Help? Read It Submit Answer 9. [-/4 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.052. Sales on DSPs The annual sales of digital signal processors (DSPs) in billions of dollars is approximated by S(t) = 0.14t² + 0.68t + 3.1 (0 ≤ t≤ 6) where t is measured in years, with t = 0 corresponding to the beginning of 1997.+ (Round your answers to two decimal places.) (a) What were the sales (in billions of dollars) of DSPs at the beginning of 1997? $ billion What were the sales (in billions of dollars) at the beginning of 1999? $ billion (b) How fast (in billions of dollars per year) was the level of sales increasing at the beginning of 1997? billion/year How fast (in billions of dollars per year) were sales increasing at the beginning of 1999? $ billion/year Need Help? Read It Submit Answer ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.026. ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. f(x) = (7x+6)³ (x² + x)² f'(x) = Need Help? Read It Submit Answer 7. [-/4 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.047. Let f(x) = 2x³ – 3x² − 39x + 2. - (a) Find the points on the graph of f at which the slope of the tangent line is equal to −3. (If an answer does not exist, enter DNE.) smaller x-value (x, y) = larger x-value (x, y) = ASK YOUR TEACHER PRACTICE ANOTHER (b) Find the equation(s) of the tangent line(s) of part (a). (Let x be the independent variable and y be the dependent variable. If an answer does not exist, enter DNE.) smaller x-value y = larger x-value y = Need Help? Read It Submit Answer

8. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.050. Find an equation of the tangent line to the graph of y = x(x + 2) 4 at the point (1, 81). Need Help? Read It Submit Answer 9. [-/4 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.052. Sales on DSPs The annual sales of digital signal processors (DSPs) in billions of dollars is approximated by S(t) = 0.14t² + 0.68t + 3.1 (0 ≤ t≤ 6) where t is measured in years, with t = 0 corresponding to the beginning of 1997.+ (Round your answers to two decimal places.) (a) What were the sales (in billions of dollars) of DSPs at the beginning of 1997? $ billion What were the sales (in billions of dollars) at the beginning of 1999? $ billion (b) How fast (in billions of dollars per year) was the level of sales increasing at the beginning of 1997? billion/year How fast (in billions of dollars per year) were sales increasing at the beginning of 1999? $ billion/year Need Help? Read It Submit Answer ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.026. ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. f(x) = (7x+6)³ (x² + x)² f'(x) = Need Help? Read It Submit Answer 7. [-/4 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.047. Let f(x) = 2x³ – 3x² − 39x + 2. - (a) Find the points on the graph of f at which the slope of the tangent line is equal to −3. (If an answer does not exist, enter DNE.) smaller x-value (x, y) = larger x-value (x, y) = ASK YOUR TEACHER PRACTICE ANOTHER (b) Find the equation(s) of the tangent line(s) of part (a). (Let x be the independent variable and y be the dependent variable. If an answer does not exist, enter DNE.) smaller x-value y = larger x-value y = Need Help? Read It Submit Answer

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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8. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.050. Find an equation of the tangent line to the graph of y = x(x + 2) 4 at the point (1, 81). Need Help? Read It Submit Answer 9. [-/4 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.052. Sales on DSPs The annual sales of digital signal processors (DSPs) in billions of dollars is approximated by S(t) = 0.14t² + 0.68t + 3.1 (0 ≤ t≤ 6) where t is measured in years, with t = 0 corresponding to the beginning of 1997.+ (Round your answers to two decimal places.) (a) What were the sales (in billions of dollars) of DSPs at the beginning of 1997? $ billion What were the sales (in billions of dollars) at the beginning of 1999? $ billion (b) How fast (in billions of dollars per year) was the level of sales increasing at the beginning of 1997? billion/year How fast (in billions of dollars per year) were sales increasing at the beginning of 1999? $ billion/year Need Help? Read It Submit Answer ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHER
Transcribed Image Text:8. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.050. Find an equation of the tangent line to the graph of y = x(x + 2) 4 at the point (1, 81). Need Help? Read It Submit Answer 9. [-/4 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.052. Sales on DSPs The annual sales of digital signal processors (DSPs) in billions of dollars is approximated by S(t) = 0.14t² + 0.68t + 3.1 (0 ≤ t≤ 6) where t is measured in years, with t = 0 corresponding to the beginning of 1997.+ (Round your answers to two decimal places.) (a) What were the sales (in billions of dollars) of DSPs at the beginning of 1997? $ billion What were the sales (in billions of dollars) at the beginning of 1999? $ billion (b) How fast (in billions of dollars per year) was the level of sales increasing at the beginning of 1997? billion/year How fast (in billions of dollars per year) were sales increasing at the beginning of 1999? $ billion/year Need Help? Read It Submit Answer ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHER
6. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.026. ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. f(x) = (7x+6)³ (x² + x)² f'(x) = Need Help? Read It Submit Answer 7. [-/4 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.047. Let f(x) = 2x³ – 3x² − 39x + 2. - (a) Find the points on the graph of f at which the slope of the tangent line is equal to −3. (If an answer does not exist, enter DNE.) smaller x-value (x, y) = larger x-value (x, y) = ASK YOUR TEACHER PRACTICE ANOTHER (b) Find the equation(s) of the tangent line(s) of part (a). (Let x be the independent variable and y be the dependent variable. If an answer does not exist, enter DNE.) smaller x-value y = larger x-value y = Need Help? Read It Submit Answer
Transcribed Image Text:6. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.026. ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. f(x) = (7x+6)³ (x² + x)² f'(x) = Need Help? Read It Submit Answer 7. [-/4 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.047. Let f(x) = 2x³ – 3x² − 39x + 2. - (a) Find the points on the graph of f at which the slope of the tangent line is equal to −3. (If an answer does not exist, enter DNE.) smaller x-value (x, y) = larger x-value (x, y) = ASK YOUR TEACHER PRACTICE ANOTHER (b) Find the equation(s) of the tangent line(s) of part (a). (Let x be the independent variable and y be the dependent variable. If an answer does not exist, enter DNE.) smaller x-value y = larger x-value y = Need Help? Read It Submit Answer
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