I ended up getting it correct by combing my second and third approach. Found the x-component of the force applied by 7.39Cos(35.50 which was 6.0163N and I called this F_Static. I found the F_N by M*A which was 15*9.81=14.715
Subtracting the y-component of the applied force (7.39sin(35.5)) I got...
Homework Statement
A child pulls a string attached to a block of mass m = 1.5 kg at an angle θ = 35.5° with an increasing amount of force. When she pulls with a force F = 7.39 N the block just begins to move. What is the coefficient of static friction between the block and floor...
Homework Statement
If
C(x) = 13000 + 600x − 0.6x62 + 0.004x3 is the cost function and
p(x) = 1800 − 6x is the demand function, find the production level that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.)
Homework Equations...
So I am looking for a value between [pi/4, 7pi/4] rather than [pi/20,7pi/20]?
This makes sense and I understand that.
As for finding C, sin y= 0 at pi/2 and 3pi/2. I'm not sure how to translate this into x. I thought I would have to multiply it by 5 in order to translate it into x getting...
Homework Statement
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)
f(x) = cos 5x, [π/20, 7π/20]
Homework Equations...
Homework Statement
Find y' of
y= 1-3ln(7x)/x^4
Homework Equations
The Attempt at a Solution
I used the quotient rule and got:
y'=x^4*d/dx(1-3ln(7x)-(1-3ln(7x)*d/dx(x^4)/(x^4)2
which is: x^4*(0-3*1/7x*7)-(1-3ln(7x))*4x^3/x^8
simplified to: 3x^4/x-1+3ln(7x)*4x^3
3x^3-4x^3+12x^3ln(7x)/x^8
take...
Okay, so the slope would be 2x at (x,x^2) correct? I don't really understand that point though and where it exists on the graph, also how it has the same slope as that of (0,-4).
So, now that I know the slope I can figure out where the line hits the graph right? I just don't really know how to...
Homework Statement
(a) Draw a diagram to show that there are two tangent lines to the parabola y = x^2 that pass through the point (0, -4). (Do this on paper. Your teacher may ask you to turn in this work.)
(b) Find the coordinates of the points where these tangent lines intersect the...