Detailed Explanations for Calculus 2 Equations

How to find the volume of the solid generated by revolving the region bounded by the graphs $y = \frac{1}{x}, y = 0, x = 1, x = 4$ , about the x axis?

Lara Browning 2023-03-13

a) Show that the formula for the surface area of a sphere with radius r is $4 π r^{2}$ .
b) If a portion of the sphere is removed to form a spherical cap of height h then then show the curved surface area is $2 π h r^{2}$ ?

uelhonai3 2023-03-12

What is the implicit derivative of $1 = e^{x y}$ ?

aphethwevdz 2023-03-11

What is the washer method formula?

egt1gi 2023-03-06

By what factor does the capacitance of a metal sphere increase if it's volume is trippled?

Aiyana Jenkins 2023-03-06

How to find $\frac{d y}{d x}$ by implicit differentiation given $x y^{3} = y + x$ ?

kreiranihqlz 2023-03-03

How to find the derivative of $z = x (y^{2}) - e^{x y}$ ?

Oscar Ramos 2023-03-03

How to find the centroid of the quarter circle of radius 1 with center at the origin lying in the first quadrant?

pagtuboy2b 2023-03-02

How to find $\frac{d y}{d x}$ given $x \cos (2 x + 3 y) = y \sin x$ ?

Evelyn Buchanan 2023-03-01

How to find y'' by implicit differentiation for $4 x^{2} + 3 y^{2} = 6$ ?

Jadiel Bowers 2023-02-25

Let $f$ be a twice differentiable function such that $g' (x) = - f (x)$ and $f' (x) = g (x)$ , $h (x) = {(f (x))}^{2} + {(g (x))}^{2}$ . If $h (5) = 11$ , then $h (10)$ is equal to
A. $22$
B. $11$
C. $0$
D. $20$

sosterrm0m 2023-02-25

What is the differentiation of $u v$ ?

rehaucesnwr1 2023-02-23

Let f be a differentiable function such that $f^{'} (x) = 7 - \frac{3}{4} * \frac{f (x)}{x}, (x > 0)$ and $f (1) \neq 4$ . Then $lim_{x \to 0^{+}} x * f (\frac{1}{x}) :$
A)does not exist.
B)exists and equals 4.
C)exists and equals 4/7.
D)exists and equals 0.

Aaliyah Hubbard 2023-02-22

How to find the derivative of $x e^{y} + y = x y$ ?

chaomeinguyzyp3 2023-02-21

How to know when to use the Ratio Test for convergence?

Maggie Black 2023-02-21

How to find the repeating decimal 0.82 with 82 repeated as a fraction?

laminarskq2p 2023-02-21

How to find ((d^2)y)/(dx^2)?

ddioddefn5cw 2023-02-18

How to find the sum of the infinite geometric series 9+6+4+...?

Darren Salas 2023-02-18

How to implicitly differentiate $- y = x^{3} y^{2} - 3 x^{2} y^{3} - 7 x y^{4}$ ?

marinacabello82g3 2023-02-18

How to find the volume of the region enclosed by the curves $y = 2 x$ , $y = x^{2}$ rotated about the x-axis?

When you are dealing with any Calculus 2 homework, it is vital to have a look at the various questions and answers that will help you see whether you are correct in your approach to finding solutions. Even if you are dealing with analytical aspects of Calculus 2, it will be helpful as you are looking at provided equations and learn how the answers relate to original questions and problems specified.

Do not be afraid to take a look at the basic integration and related application if Calculus 2 does not sound clear or start with the Calculus 1 first.

Calculus 2

Calculus 2 Equations: Expert Solutions and More