Question: 2. (a) Show from first principles that for the curve y = sinx, where x is in radians, dy = cos x . dx You

2. (a) Show from first principles that for the curve y

= sinx, where x is in radians, dy = cos x .

2. (a) Show from first principles that for the curve y = sinx, where x is in radians, dy = cos x . dx You may use the formula for sin ( AtB) without proof and assume that as h -> 0, cosh-1 sin h ->0 and ->1. [5] h h (b) Identify where in the proof this assumption that x is in radians is needed. [1]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Topic: Further Differentiation (A level Maths) 2. (a) Show from first principles that for the curve y = sinx, where x is in radians, dy - = COS X . dx You may use the formula for sin ( AtB) without...

Q:

2. (a) Show from first principles that for the curve y = sinx, where x is in radians, dy = cos x . dx You may use the formula for sin ( AtB) without proof and assume that as h -> 0, cosh-1 sin h ->0...

Q:

2. (a) Show from first principles that for the curve y = sinx, where x is in radians, dy = cos x . dx You may use the formula for sin ( AtB) without proof and assume that as h -> 0, cosh-1 sin h ->0...

Q:

2. (a) Show from first principles that for the curve y = sinx, where x is in radians, dy = cos x . dx You may use the formula for sin ( AtB) without proof and assume that as h -> 0, cosh-1 sin h ->0...

Q:

Please do all the even numbers like 34, 36, 38, 40,42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62. . Please do it on paper bc it's really hard to understand when is written on here. Also, please show...

Q:

Flextrola, a case for newsvendor model Flextrola, Inc., an electronic systems integrator, is planning to design a key component for their next generation product with Solectrics. Flextrola will...

Q:

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

Q:

1. 3 2 Consider the function f(x) = x - 3x - 9x + 10, x (a) . Find the equation of the straight line passing through the maximum and minimum points of the graph y = f(x). (4) (b) Show that the point...

Q:

Section 8.3 Reading Assignment: Trigonometric Integrals Instructions. Read through this assignment and complete the three exercises below by reading the appropriate passages of the textbook. This...

Q:

Section 8.3 Reading Assignment: Trigonometric Integrals Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very...

Q:

E3-15 (Algo) Preparing an Income Statement, Identifying Cash Flow Effects, and Analyzing Results LO3-5, 3-7 [The following information applies to the questions displayed below.) J. Kamas and G....

Q:

Consider 100 m3 of atmospheric air which is an airwater vapor mixture at 100 kPa, 15C, and 40% relative humidity. Find the mass of water and the humidity ratio. What is the dew point of the mixture?

Q:

I f g ' ( 5 ) = 5 and h ' ( 5 ) = 1 3 , find f ' ( 5 ) for f ( x ) = 1 4 g ( x ) + 1 5 h ( x ) . f ' ( 5 ) = , ( S i m p l i f y your answer. )

Q:

Calm Day reported the following income statement for the year ended December 31, 2019: Requirements 1. Compute Calm Day's inventory turnover rate for the year. (Round to two decimal places.) 2....

Q:

Nature Foods Grocery reported the following comparative income statements for the years ended June 30, 2019 and 2018: During 2019, Nature Foods Grocery discovered that ending 2018 merchandise...

Q:

Nutriset Foods reports merchandise inventory at the lower-of-cost-or-market. Prior to releasing its financial statements for the year ended March 31, 2019, Nutriset's preliminary income statement,...

Q:

Assume that Toys Galore store bought and sold a line of dolls during December as follows: Requirements 1. Compute the cost of goods sold, cost of ending merchandise inventory, and gross profit using...

Q:

Merchandise is sold on account to a customer for $56,500, terms FOB shipping point, 2/10, n/30. The seller paid the freight of $2,100. Determine the following: (a) Amount of the sale, (b) Amount...

Q:

A pointer holds a memory address.

Q:

Go, do not wait until I come

Q:

Make eye contact when talking and listening

Q:

Do not go, wait until I come