What do the limits lim h0 ((sin h)/h) and lim h0 ((cos h - 1)/h) have to
Question:
What do the limits limh→0 ((sin h)/h) and limh→0 ((cos h - 1)/h) have to do with the derivatives of the sine and cosine functions? What are the derivatives of these functions?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
ANSWER The limits limh0 sin hh and limh0 cos h 1h are important in calculus and are closely related ...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Use the polynomial approximations of the sine and cosine functions in Exercise 94 to approximate each function value. Compare the results with those given by a calculator. Is the error in the...
-
The sine functions are defined as while Sj(x) = S0(x - j h) whenever h > 0 and j is an integer. We will interpolate a function /(x) at the mesh points Xj = jh, j = 0,... ,«, by a linear...
-
The sine and cosine functions are represented by the two series Differentiate each series to show that and x3 sin (x) = x - 3! x7 5! 7! x2 + 2! x4 46 cos (x) = 1- 4! 6!
-
Education is a very important job because it can change and shape people's lives. It gives people the knowledge, skills, and attitudes they need to be successful in their personal and work lives. As...
-
Carlisle Tire and Rubber, Inc., is considering expanding production to meet potential increases in the demand for one of its tire products. Carlisles alternatives are to construct a new plant, expand...
-
A $28 000 mortgage is amortized by quarterly payments over 20 years. The mortgage is renewable after 3 years and interest is 6% com- pounded semi-annually. (a) What is the size of the quarterly...
-
In Problem 3.5 a regression model was developed for the gasoline mileage data using the regressor engine displacement \(x_{1}\) and number of carburetor barrels \(x_{6}\). Calculate the PRESS...
-
Consider the following time series data: a. Compute MSE using the most recent value as the forecast for the next period. What is the forecast for month 8? b. Compute MSE using the average of all the...
-
Mainord Corporation issues $ 1 comma 0 0 0 comma 0 0 0 of 1 0 minus year , 6 % convertible bonds. Each $ 1 , 0 0 0 bond is convertible into 2 6 common shares. On the date of the issue, the shares had...
-
The owner of a restaurant that serves Continentalstyle entrées has the business objective of learning more about the patterns of patron demand during the Fridayto-Sunday weekend time period....
-
Find the derivatives of the function. r = 2 sin
-
Find ds/dt. S 1 + csc t 1 - csc t
-
Refer to Exercise 6.11. a. Calculate the mean flight time and the standard deviation of the flight time. b. Find the probability that the flight time will be within one standard deviation of the mean.
-
10.27 Find Hamilton's canonical equations for (a) A simple pendulum (b) A simple Atwood machine (c) A particle sliding down a smooth inclined plane
-
A car is moving in a circle at a constant speed of 45 m/s. Its radial acceleration is 60 m/s2. Fill in the data table below. t (s) V (m/s) a (m/s) 0 1 2 3 4
-
Q = mc AT An aluminum metal is heated in boiling water and transferred to 75 gram of water at an initial temperature of 18C in an insulated container with negligible specific heat capacity. If the...
-
a) "Investors face a trade-off between risk and expected return. Historical data confirm our intuition that assets with low degrees of risk should provide lower returns on average than do those of...
-
Given the following three planes: D: (x,y,z)=(0,-1,4)+ k(-2, 1, 2) D (x,y,z)=(2,-1,14)+m(1,0,5) 1.Prove that these two lines are secant and find their point of intersection 2. Find the equation of...
-
1. For each of the accounting issues discussed in the body of the case and in Exhibit 2: a. Discuss whether the accounting rule seems reasonable. b. Discuss whether it seems likely that Dell recorded...
-
Find the area of the surface generated by revolving the para- metric curve x = cos 1, y = sin? 1 (0 < I sa/2) about the y-axis.
-
Let f (x) = 1/x and g(x) 1/x 2 . (a) Find (f g) (x). (b) Is f g continuous everywhere? Explain.
-
Determine the infinite limit. x? 2x 8 lim x-2+ x? 5x + 6
-
Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes. 5 + 4x y = x + 3
-
A group of new machines was purchased on February 17, 2021, under a royalty agreement with the following terms: The purchaser, Keller Corp., is to pay a royalty of $1 to the machinery supplier for...
-
Forming a clear Flow of Funds that integrates the following transactions: J receives $70 in dividends from Telstra. Telstra's bank account at CBA is credited. J sells government bonds for $350 to the...
-
Let {X0, X1, X2,...} be a Markov chain on the state space S = {1, 2, 3, 4, 5, 6}, with the transition matrix 1140 0 0 0 34120 0 00 0 0 0 0 1 0 0 P 0 1 3 0 0 4 0 0 0 0 0 0 0 0 0 / 1 1 (a) Draw the...
Study smarter with the SolutionInn App