Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Find out the surface area of the solid acquired by rotating y = √ (9-x2), - 2 < x < 2 about the x-axis.
Solution
The formula that we'll be using here is,
S = ∫ 2Πyds
As we are rotating about the x-axis and we will make use of the first ds in this case since our function is in the correct form for this reason ds and we won't gain anything by solving it for x. Let us first get the derivative and the root taken care of.
Dy/dx = ½ (9-x2)- ½ (-2x)
= - x / (9-x2)½
√(1+ (dy/dx)2)
= √(1+ x2 / (9-x2))
= √(9 / 9-x2)
= 3/ √(9-x2)
Here's the integral for the surface area,
S = ∫2-2 2Πy (3/ √(9-x2)) dx
Though there is a problem. The meaning of dx here is that we shouldn't have any y's in the integral. Thus, before evaluating the integral we'll require to substitute in for y as well. After that the surface area is,
50387 divided by 21
Metallic spheres of radii 6 centimetre, 8 centimetre and 10 centimetres respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.
Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of the
1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
identify the range of h(x)=2x+1
Properties of Integration
What is the greater of two consecutive negative integers whose product is 132? Let x = the lesser integer and let x + 1 = the greater integer. Because product is a key word for
The calculation of two complementary angles are in the ratio of 7:8. Determine the measure of the smallest angle. a. 84° b. 42° c. 48° d. 96° b. Two angles are compl
Evaluate following limits. Solution Let's begin with the right-hand limit. For this limit we have, x > 4 ⇒ 4 - x 3 = 0 also, 4 - x → 0 as x → 4
The position of an object at any time t (in hours) is specified by, s (t ) = 2t 3 - 21t 2 + 60t -10 Find out when the object is moving to the right and whiles the object
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd