a. Show that d/dx(x cos x) = cos x x sin x. b. Use your result
Question:
a. Show that d/dx(x cos x) = cos x – x sin x.
b. Use your result from part a to evaluate the area of the shaded region.
Transcribed Image Text:
y = x sin x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 44% (9 reviews)
a To differentiate x cos x with respect to x we can use the product rule d...View the full answer
Answered By
Churchil Mino
I have been a tutor for 2 years and have experience working with students of all ages and abilities. I am comfortable working with students one-on-one or in small groups, and am able to adapt my teaching style to meet the needs of each individual. I am patient and supportive, and my goal is to help my students succeed.
I have a strong background in math and science, and have tutored students in these subjects at all levels, from elementary school to college. I have also helped students prepare for standardized tests such as the SAT and ACT. In addition to academic tutoring, I have also worked as a swim coach and a camp counselor, and have experience working with children with special needs.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
The area of the shaded region under the curve y = 2 sin 2x in (a) equals the area of the shaded region under the curve y = sin x in (b). Explain why this is true without computing areas. y, y = 2...
-
The area of the shaded region under the curve on the interval [4, 9] in (a) equals the area of the shaded region under the curve y = x 2 on the interval [1, 2] in (b). Without computing areas,...
-
Find the area of the shaded region under the standard normal curve. If convenient, use technology to find the area.
-
Determine all the FIR filters which are specified by the lattice parameters K1 = , K2 = 0.6, K3 = -0.7, and K4 = 1/3
-
In an industrial process, hydrogen chloride, HCl, is prepared by burning hydrogen gas, H2, in an atmosphere of chlorine, Cl2. Write the chemical equation for the reaction. Below the equation, give...
-
The Sweet Smell Fertilizer Company markets bags of manure labeled "not less than 60 lb dry weight." The packaged manure is a combination of compost and sewage wastes. To provide good-quality...
-
Suppose the risk of an airline accident for a major airline is 1% per year, with a beta of zero. If the riskfree rate is 4%, what is the actuarially fair premium for a policy that pays \($150\)...
-
The following are the trial balance and the other information related to Yorkis Perez, a consulting engineer. 1. Fees received in advance from clients $6,000. 2. Services performed for clients that...
-
using deal and grove formula, Create a matlab code to show the General relationship for thermal oxidation of silicon using dry oxidation and wet oxidation. The solid line represents the general...
-
Bloopers analysts have come up with the following revised estimates for its magnoosium mine: Range Pessimistic Optimistic Initial investment + 30 % 25 % Revenues 25 % + 20 % Variable costs + 25 % ...
-
A curve is such that dy/dx = kx 5 where k is a constant. The gradient of the normal to the curve at the point (2, -1) is 1/3. Find the equation of the curve.
-
a. Given that y = 1/x 2 7, show that dy/dx = kx/(x 2 7) 2 , and state the value of k. b. Hence finds 4x dx. (x 7)*
-
Choi Golf Co. uses titanium in the production of its specialty drivers. Choi anticipates that it will need to purchase 200 ounces of titanium in October 2015, for clubs that will be shipped in the...
-
In Feb. 2021 I wrote an op-ed in Minding the Campus ,"Why I Don't Allow My Students to Use Google," (see https://www.mindingthecampus.org/2021/02/22/why-i-dont-allow-my-students-to-use-google/ ),...
-
While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 6.45 m/s. The stone subsequently falls to the ground, which is 13.5 m below the point where...
-
What is an excellent example of locating financial statements for the City of Petersburg with cites and references?
-
for C++ Write a single statement that perform the following single-subscripted array operations: (a) Initialize the 10 elements of integer array counts to zero. (b) Add 1 to each of the 15 elements...
-
Building strong public relations is a priority for all criminal justice organizations. The public's perception of the organization is critical in the organization's effort to acquire and maintain the...
-
Determine whether the vectors cosx, 1, sin2(x/2) are linearly independent in C[- , ].
-
Let (x) = x 2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (((--) 2
-
Kathleen pays $3,000 mortgage interest on the home that she and her husband live in. Kathleen and her husband live with Molly, Kathleens mother. The title to the home is in Kathleens name. However,...
-
Katie and Alan are avid boaters and water skiers. They also enjoy parasailing. This year, they started a new parasailing venture to give rides to patrons. Katie and Alan are both employed full-time...
-
Roberta is an accountant employed by a local firm. During the year, Roberta incurs the following unreimbursed expenses: Item Amount Travel to client locations $750 Subscriptions to professional...
-
Wilson Corporation is acquiring a new stamping machine at a cost of $400,000. The machine will produce annual cash flows of $77,000 over its 10-year useful life. Wilson's has the following finan-...
-
Sarah and Albert each invested $10,000 in an index-linked principal-protected (PPN) note on the same underlying index. Sarah' PPN had 75% participation rate. Albert's note had a 50% performance cap....
-
The initial cost of a project is $40,000. The operating costs of this investment in year 1 is $3,000 which increases by 2% each year thereafter. Given the interest rate, 8%, determine the year in...
Study smarter with the SolutionInn App