Homework Statement
a.) f(x)=tan2(x)
b.) cos3(x2)
c.) (2x-1)/(5x+2)
d.) (sqrt(x2-2x))(secx)
e.) f(x)=((2x+3)/(x+7))3/2
f.) [sin(x)cos(x)]2
Homework Equations
chain rule
Product rule
Quotient rule
Power rule
The Attempt at a Solution
a.) would you do the power rule...
Homework Statement
f(x)=(x2-x)(sin(x))
Homework Equations
Chain rule
Product rule
The Attempt at a Solution
f'g(x)*g'(x)
cosx
(2x-x)(cosx)
Would you use the product rule after using the power rule and chain rule?
Homework Statement
A small object with mass 4.00kg moves counterclockwise with constant speed 4.50m/s in a circle of radius 3.00m centered at the origin. It starts at the point with position vector (3.00i+0j)m. Then it undergoes an angular displacement of 9.00rad. (a.) What it is position...
Homework Statement
If h(2)=4 and h'(2)=-3, find
\left.\frac{d}{dx}\frac{h(x)}{x}\right|_{x=2}
Homework Equations
n^n-1 (power rule)
The Attempt at a Solution
I don't know how to get this started. It seems like I am having trouble with derivatives. I can do simple derivatives with...
Homework Statement
If f(x)=\sqrt{x}g(x), where g(4)=8 and g'(4)=7, find f'(4).
Homework Equations
the product rule/quotient rule
The Attempt at a Solution
I am having trouble getting this problem started.
Would I solve for the x of f(x)?
Homework Statement
A 2100-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 5.00 m before coming into contact with the top of the beam. Then it drives the beam 12.0 cm farther into the ground as it comes to rest. Using energy considerations, calculate the...
I have a question regarding cross products and dot products. What is the difference, and are there any similarities? What ARE cross products and what are their functions? What ARE dot products and what are their functions? What do we use them for?
Thank you,
Joyci116
Homework Statement
A 10.0g bullet is fired into a stationary block of wood (m=5.00 kg). The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.600 m/s. What was the original speed of the bullet?
ball m=10.0g=0.01kg
wood m=...
Homework Statement
(a) A particle of mass m moves with momentum of magnitude p. Show that the kinetic energy of the particle is given by K=p^{2}/2m. (b) Express the magnitude of the particle's momentum in terms of its kinetic energy and mass.
Homework Equations
Would the p=mv be needed...
Homework Statement
A 3.00-kg particle has a velocity of (3.00i-4.00j)m/s. (a)Find its x and y components of momentum. (b) Find the magnitude and direction of its momentum.
Homework Equations
p=mv
The Attempt at a Solution
For part a, I found that the x and y components of momentum...
Homework Statement
A 100-g bullet is fired from a rifle having a barrel 0.600 m long. Choose the origin to be at the location where the bullet begins to move. Then the force (in newtons) exerted by the expanding gas on the bullet is 15 000 + 10 000x -25000x^2, where x is in meters...
Homework Statement
Your 3.80-kg physics book is next to you on the horizontal seat of your car. The coefficient of static friction between the book and the seat is 0.650, and the coefficient of kinetic friction is 0.550. Suppose you are traveling at 72 km/h=20.0m/s and brake to a stop over a...