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...
Um, h(x)=4, because x=2 so h(2)=4; x=2, so I get 1/2. But you don't understand how you would the the quotient rule using that value. There is the product rule if you rearrange the formula to 1(2)^-1
I'm sorry, I'm a little confused.
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)?
So what you are trying to convey is that you multiply with cross products and dot products, but it is WHAT you multiply determines whether it is a dot or cross product? Scalar is always dot and vector is always cross product?
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
p=mv
The momentum found using final velocity:
p=(0.01kg)(0.600m/s)=0.006 kg*m/s (ball)
p=(5.00kg)(0.600m/s)=0.006 kg*m/s (wood)
And I assumed the initial velocity was zero, so I ended up with a zero momentum.
Is that correct so far?
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=...
The equation for kinetic energy is k=.5mV^2 and the new equation is K=p^2/2m. Momentum is missing from the first equation and velocity is missing from the second equation.
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...