Could you find the extreme values for the following equation if there isn't any restrictions?
For example,
Could you find the absolute max and min for this equation?
f(x) = -x^{4} + 4x^{3}
Or do you need the restrictions:
f(x) = x^2 + 16x^{-1} , 1 \leq x \leq 4
I thought instantaneous value means the same thing as slope and slope means the same thing as finding the derivative?
My teacher wanted the class to use those formulas mentioned and yes it was a typo..it's y' = (b^x)(lnb)
Homework Statement
If you invest $5000 in a stock that is increasing in value at the rate of 12% per year, then the value of your stock is given by:
f(x) = 5000(1.12)^x, where x is measured in years
a) find average value from x = 2 to x = 3
b) find instantaneous value at x = 3...
Homework Statement
Prove:
(au) × v + (bu) × v = [(a + b)u] × v
Homework Equations
http://en.wikipedia.org/wiki/Cross_product
The Attempt at a Solution
u = ( x , y , z )
v = ( x₂, y₂,z₂)
LHS:
= (au) × v + (bu) × v
= [ ay z₂- y₂az , - (axz₂- x₂az) , axy₂- x₂ay ] + [ by z₂- y₂bz , - (bxz₂-...
Homework Statement
The identity below is significant because it relates 3 different kinds of products: a cross product and a dot product of 2 vectors on the left side, and the product of 2 real numbers on the right side. Prove the identity below.
| a × b |² + (a • b)² = |a|²|b|²...
I don't follow. . .
The question does mention what are x1, x2, y1, y2, (if relevant) z1 and z2. . .
And from my attempted solution, I did find the vectors. . .but I don't know what to do after finding the vectors. . .
Homework Statement
A box with a weight of 215 N rests on a ramp. There is a frictional force of 27 N exerted on the box directed up the ramp. If the ramp is inclined at 30 degrees, what force must be applied at an angle of 40 degrees to the ramp to maintain equilibrium?
Textbook Answer...
Homework Statement
15) In Question 14, if the ramp makes an angle of 20 degrees with the level ground. Find the magnitude of the force tending to lift the crate vertically.
Textbook Answer for Question 15: 108.3 N
----
14) A crate is being dragged up a ramp by a 125 N force applies at an...
Homework Statement
A river is 2 km wide and flows at 6 km/h. A motor boat that has a speed of
20 km/h in still water heads out from one bank perpendicular to the current.
A marina lies directly across the river on the opposite bank. Use Geometric
Vectors to solve this problem.
a. How far...
I tried doing sine law, but I keep getting error.
And the angles you've provided don't give the right resultant.
The only angles that do give me approximately 9.8 N are 118, 119 and 120 degrees.
But, I want to know how to solve this problem without looking at the answers because my test is...