a.
To calculate: The equation of the tangent.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 17E
The equation of the tangent is
Explanation of Solution
Given information:
The function is
Concept used:
The equation of tangent of a line is
Calculation:
Slope of tangent line is the derivative of the function that is
The slope of tangent line is
The value of
The value of
Substitute the values in the standard equation of line
Conclusion: The equation of tangent line is
b.
To calculate: The equation of normal line.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 17E
The equation of normal line is
Explanation of Solution
Given information:
The function is
Concept used:
The formula used to find slope of normal line is
Calculation:
Use the formula
The slope of normal line is
The value of
Substitute the values in the standard equation of line
Conclusion: The equation of normal line is
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
- 4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown in the table. For each problem, approximate the distance the car traveled (in miles) using the given method, on the provided interval, and with the given number of rectangles or trapezoids, n. Time (min) 0 6 12 18|24|30|36|42|48|54|60 Speed (mph) 0 10 20 40 60 50 40 30 40 40 65 a.) Left Rectangles, [0, 30] n=5 b.) Right Rectangles, [24, 42] n=3 c.) Midpoint Rectangles, [24, 60] n=3 d.) Trapezoids, [0, 24] n=4arrow_forwardThe bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N. F1 B a=0.18 m C A 0.4 m -0.4 m- 0.24 m Determine the reaction at C. The reaction at C N Z F2 Darrow_forwardThe correct answer is C,i know that we need to use stokes theorem and parametrize the equations then write the equation F with respect to the curve but i cant seem to find a way to do it, the integral should be from 0 to 2pi but i might be wrongcould you show me the steps to get to 18piarrow_forward
- A 10-ft boom is acted upon by the 810-lb force as shown in the figure. D 6 ft 6 ft E B 7 ft C 6 ft 4 ft W Determine the tension in each cable and the reaction at the ball-and-socket joint at A. The tension in cable BD is lb. The tension in cable BE is lb. The reaction at A is ( lb) i + Ib) j. (Include a minus sign if necessary.)arrow_forwardthe correct answer is A could you show me whyarrow_forwardGood Day, Kindly assist me with this query.arrow_forward
- on donne f(x) da fonction derive dhe do fonction fcsos calcule f'(x) orans chacun des Cas sulants: 3 1) f(x)=5x-11, 2- f (x) = ->³ 3-1(x) = x² 12x +π; 4-f(x)=- 5-f(x) = 33-4x6-609)=-3x²+ 7= f(x) = x + 1.8-f(x) = 4 s-f(x) = x++ X+1 -x-1 2 I 3x-4 девоarrow_forwardThe correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up the piecewise function and integratingarrow_forwardT 1 7. Fill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. So π/2 2 2πxcosx dx Find the volume of the solid obtained when the region under the curve on the interval is rotated about the axis.arrow_forward
- 38,189 5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x| ≤ and the curve y y = about the line x = =플 2 80 F3 a FEB 9 2 7 0 MacBook Air 3 2 stv DGarrow_forwardFind f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x. h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1 - - - f(x) = ☐arrow_forwardx-4 Let f(x)=5x-1, h(x) = Find (fo h)(0). 3 (fo h)(0) = (Type an integer or a fraction.)arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)