How do you do question 4
To find the largest-volume right circular cylinder that fits inside a sphere of radius 1. Picturize the given situation for more clarity as follows.
Observe from the figure that:
r = the radius of base of cylinder
h = height of cylinder
From the considered right angled triangle pythagorus theorem states that:
(h/2)2 + r2 = 1
r2 = 1 - (h/2)2
Thevolume of the cylinder inscribed in the sphere is
V(h) = πr2h
= πh(1- h2/4)...
Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*See Solution
Q: a), b) and c) please. I also forgot how to write interval notation....
A: To find the direction we have to graph the function v(t)= 3t^2-36t+105 ; [0,8]. And then we check th...
Q: Use the SubstitutionFormula, Integral from a to b f left parenthesis g left parenthesis x right par...
A: Let us assume y=(sec x)/4
Q: Limit as x approaches 2 of (x3-8)/(x-2)
A: Obtain the value of the limit as follows.
Q: Hello, How is tan^-1 (tan (6pi/7)=-pi/7 possible? I don't know how it should be a negative or to use...
A: First consider:
Q: I need help for this.
A: (a) Use the ratio test and compute the interval of convergence as follows.
Q: I have trouble with second derivatives. I need help from my last step on please.
A: Given equations are,
Q: 1. Estimate the volume of the solid that lies below the surface z = xy and above the following recta...
A: You have asked two unreleated questions in the same post. Further your first question has multiple s...
Q: What is the solution to the initial value problem below? y′=5ex +8x3 +x2 +4x y(0)=3 Do not include "...
A: The given differential equation is, y′=5ex +8x3 +x2 +4x.
Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.
A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...