Kelly Nelson
2021-12-11
Answered

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Fasaniu

Answered 2021-12-12
Author has **46** answers

Step 1

The general power rule:

$\frac{d}{dx}\left({x}^{n}\right)=n{x}^{n-1}$

Step 2

Proof:

$\frac{d}{dx}\left({x}^{n}\right)=\frac{d}{dx}\left({e}^{n\mathrm{ln}x}\right)\text{}\text{}\text{}[\because {x}^{n}={e}^{n\mathrm{ln}x}]$

$={e}^{n\mathrm{ln}x}\frac{d}{dx}\left(n\mathrm{ln}x\right)$

$={e}^{n\mathrm{ln}x}\frac{n}{x}$

$={x}^{n}\times \frac{n}{x}\text{}\text{}\text{}[\because {x}^{n}={e}^{n\mathrm{ln}x}]$

$=n{x}^{n-1}$

Thus, the general power rule proved.

The general power rule:

Step 2

Proof:

Thus, the general power rule proved.

asked 2020-11-22

The specific heat of lead is 0.030 cal/g.C. 300 grams of leadshot at 100C is mixed with 100 grams of water at 70C in an insulated container. The final temperature of the mixture is:

A) 100C

b) 85.5C

c)79.5C

d) 74.5C

e)72.5C

A) 100C

b) 85.5C

c)79.5C

d) 74.5C

e)72.5C

asked 2020-11-05

A 0.50 kg ball that is tied to the end of a 1.1 m light cord is revolved in a horizontal planewith the cord making a

a) Determine the ball speed.

b) If, instead, the ball is revolved so that its speed is 4.0 m/s,what angle does the cord make with the vertical?

c) If the cord can withstand a maximum tension of 9.1 N, what is the highest speed at which the ballcan move?

asked 2020-11-01

A horizontal force of 210N is exerted on a 2.0 kg discus as it rotates uniformaly in a horizontal circle ( at arm's length ) of radius .90 m. Calculate the speed of the discus

asked 2021-01-31

A straight vertical wire carries a current of 1.20 A downward in a region b/t the poles of a large superconducting electromagnet,where the magnetic filed has magnitude B = 0.588 T and is horizontal. What are the magnitude and direction of the magnetic force on a 1.00 cm section of the wire that is in this uniform magnetic field, if the magnetic field direction is a) east? b)south? c) 30 degrees south of west?

According to the solutions, the force stays the same for parts$a,b,c:F=I\cdot l\cdot B=7.06\times {10}^{-3}$ but for part c,why isn't the 30 degree angle used to calculate the force?

According to the solutions, the force stays the same for parts

asked 2021-11-16

Without using the fact that the area of a triangle is

a)

asked 2021-11-21

Using the two equations E=hv and $c=\lambda v$

derive an equation expressing E in terms of h, c, and$\lambda$

derive an equation expressing E in terms of h, c, and

asked 2021-10-26

Evaluate the iterated integral:

a)

b)

c)

d)