Question

Use the identity sin2 x = (1 - cos 2x)>2 to obtain the Maclaurin series for sin2 x. Then diŽerentiate this series to obtain the Maclaurin series for 2 sin x cos x. Check that this is the series for sin 2x.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Functions

Applications of Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: In exercises 57-60, find an equation of the tangent line to the graph of the equation at the given p...

A: Given equation 

Q: For each of the given functions y = f (x), a. find the slope of the tangent line to its inverse func...

A: Click to see the answer

Q: (a) Find the intervals of increase or decrease.(b) Find the local maximum and minimum values.(c) Fin...

A: Click to see the answer

Q: Tests of a bone discovered in a dig at Saint Joseph’s University contained 27% its original amount o...

A: Click to see the answer

Q: QUICK CHECK 3 Show that 1 V = 5 (y² – x²) is a stream 2 function for the vector field F = (y, x). Sh...

A: Click to see the answer

Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 2. xa lim V3f(x) + 6g(x) xa

A: Click to see the answer

Q: What are box products? What significance do they have? How are they evaluated? Give an example

A: The scalar triple product of three vectors, is also called the box product. And is given by: (a x b)...

Q: (5.) As mobile phones continue to proliferate, more and more people will watch video content on thei...

A: Click to see the answer

Q: Show that

A:  

Q: Which of these describes a parametrized line perpendicular to the plane 3x + 2y + z = 15? A) (2 + 6t...

A: The direction ratio of the normal vector to the plane is (3, 2,1 ) So the perpendicular line to the ...

Q: In Exercises 19–40, use a table of integrals to find the indefinite integral

A: Click to see the answer

Q: Consider the following simple harmonic motion equation. What is the period of this​ motion?​s(t)=7 c...

A: We compare the given equation with s(t)=a*cos(b(t-c))+d   So, a=7, b= 2 , c=0, d=0   

Q: Given 8 ) = ° Find the 4th seprer Taylor polynomiel Pub 2と こe centeres C=3. Complete se teble pive t...

A: Click to see the answer

Q: Consider the demand equation where x represents the quantity demanded in units of a thousand and p i...

A: Using a graphing calculator we sketch the function First option matches with this graph. Answer(a):...

Q: Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflec...

A: Click to see the answer

Q: dy dx 2 at x = 5 if y = 4x? + 5 and dt = 4. Find %3D dt

A: Click to see the answer

Q: Line integrals Use Green’s Theorem to evaluate the following line integral. Assume all curves are or...

A: Click to see the answer

Q: convert the above indefinite integrals into definate integrals using the intervals [0,1]. please i n...

A: Click to see the answer

Q: Simplify expression.

A: Click to see the answer

Q: A.) An average young male in the United States gains weight at the rate of 18(x − 10)−1/2 pounds per...

A: Since you have asked multiple questions in a single request, only the first question is answered. In...

Q: ) About how accurately must the interior diameter of a cylindrical storage tank that is 8 m high be ...

A: Given: Internal diameter of tank = d

Q: I need help with these questions in Calc 1. Please show work!

A: Click to see the answer

Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

A: For the point of inflection, we solve y"=0  

Q: 13 cm. You are given a rectangular piece of paper that has length x = 38.6 cm and height Y = The low...

A: Click to see the answer

Q: Find the inflection points of f(x)=x4-8x3+19x2. On what intervals is the graph concave up? On what i...

A: Click to see the answer

Q: use a table of integrals with forms involving the trigonometric functions to  find the indefinite in...

A: Click to see the answer

Q: This question has several parts that must be completed sequentially.  The following table shows tot...

A: Click to see the answer

Q: Consider the function (). xチ x +0 cos f(x) 0, x = 0 a. Show that f is continuous at x = 0. b. Determ...

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want an...

Q: * In (x)dx

A: Click to see the answer

Q: I am confused on this step. Apparently I am supposed to factor X5 out of the numerator, but I do not...

A: Consider the numerator

Q: The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to sol...

A: Click to see the answer

Q: Find the point M(x,y) on the graph of f(x)=√x that is closest to A(a,0) where a is a positive real n...

A: M(x,y)= (x,√x) Distance between (x, √x) and (a,0) is D.  

Q: 66-69. Mass and center of mass Let S be a surface that represents a thin shell with density p. The m...

A: Click to see the answer

Q: graph y=-5 tan x

A: Click to see the answer

Q: If xy + y2 = 1, find the value of d2y/dx2 at the point (0, -1).

A: Click to see the answer

Q: Find the length of an arc intercepted by a central angle thetaθ in a circle of radius r. r=123.85 in...

A: Click to see the answer

Q: You invested $7000 in two accounts paying 6% and 8% annual interest. If the total interest earned fo...

A: Click to see the answer

Q: I need this question's answer with calculusII syllabus

A: Click to see the answer

Q: series converPS Dedermin if jhe Jollowing alivepes. apes show your work. or 3. n+2

A: Click to see the answer

Q: A company estimates that it will sell N(x) units of a product after spending x thousand dollars on a...

A: Click to see the answer

Q: 3

A: Click to see the answer