For the given function, (a) find the slope of the tangent line to the graph at the given point;(b) find the equation of the tangent line.g(x) = 7√x at x = 4

If y=f(x), then the independent variable x is called the input of the function and the dependent…

Answered: For the given function, (a) find the…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter1: Introduction To Algebra

Section: Chapter Questions

Problem 11CT

See similar textbooks

Similar questions

Graph the function and the indicated tangent line. Graph f(x) = -4x2 and the tangent line to the graph at the point whose x-coordinate is -2. 10 ✔
a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by multiplying the expressions first. y = (5√√x+6)x² a) Use the Product Rule to find the derivative of the function. Select the correct answer below and fill in the answer box(es) to complete your choice. x² + 2 ( √x. +X x² 2² (1) O A. The derivative is OB. The derivative is (5√√x+6) OC. The derivative is (5√x+6) () D. The derivative is (5√x+6)x² +
A rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of time in minutes according to r(t) = 15√t+2, find the area of the ripple as a function of time. Find the area of the ripple at t = 2. Enter the exact answer. For the number 7, you can either type pi or you can click the button with on it. Do not enter any commas in your answer.
Which equation could represent p(x)?
Sketch the graph of the equation by making a table and plotting points. x = √y
A rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of time in minutes according to r(t)=25t+2−−−−√, find the area of the ripple as a function of time. Find the area of the ripple at t=2. Enter the exact answer. For the number π, you can either type pi or you can click the button with π on it. Do not enter any commas in your answer. A= __________ in.2
Find the point on the graph of the given function at which the slope of the tangent line is the given slope f(x) x3 6x219x+ 14; slope of the tangent line7 The point at which the slope of the tangent line is 7 is (Simplify your answer. Type an ordered pair.)
In a certain town, the longest day of the year, which is in June, lasts fourteen hours. The shortest day of the year, which is in December, lasts ten hours. Twice per year, in March and September, the day is the same length as the night, or twelve hours. Length of day varies sinusoidally through the year. Write an equation for H(m), the length of the day in hours, as a function of the cosine of m, the number of months since January.
During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)
Write the equation of the line tangent to the graph of the function at the indicated point. y = Sqrt(5x2 − 71) at x = 4
A ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platfprm. The wheel completes 1 full revolution in 8 minutes. The function h - f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h- f(t). f(t) =
A Ferris wheel is 20 meters in diameter and boarded in the six o clock position from a platform that is 4 meters above the ground. The wheel completes 1 full revolution in 2 minutes. Write an equation for f(t) if f(t) gives the height of a passenger above the ground.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

SEE MORE TEXTBOOKS

For the given function, (a) find the slope of the tangent line to the graph at the given point; (b) find the equation of the tangent line. g(x) = 7√x at x = 4