How many photons of light having a wavelength of 656nm are necessary to provide 1J of energy?
I know the equation E=hc/lambda, however I am unsure of what help calculating E would be. Do I just divide 1J by what E is?
A bike has wheels with diameter 0.6m. The bike moves along the road at 6m/s. Determine an equation for the height of the the speck on the tire above the road as a function of time in t seconds.
I think that the amplitude is 0.3 and my period is 0.6pi (circumference). Would there be any phase...
Solve the equation log2x + log4x= 5. To start, should I change this to an exponential... I am stuck because I have only done log questions that have the same base.
Evaluate lim as x approaches a for (x^1/3 - a^1/3)/(x-a). I want to factor out x-a from the numerator so that the denominator is not equal to zero. How can I do this?
Consider the function y=x^3 - 2x^2 + k, where k is a constant. Explain why k=0 ensures that f(x)=0 has a double root. A double root is a bounce and I thought that when k=0, the x^2 can be immediately common factored out of the function, so you have (x^2)(x-2)=0. Therefore, you will always have a...
I have to sketch the following function:
y=x(lnx)^3
The ln scares me a bit... I have found the derivative of the function as 3(lnx)^2, and when making that equal to zero I got an anwer of around 0.7 if i remember correctly. This I guess is my critical number? Then the second derivative is...
i know that my equation of the line perpendicular to the tangent is y=3-x. From that, do I use my distance formula to get the centre of the circle... before it said something about special triangles- could you elaborate?
okay so i have made progress...
I plugged in x=1 into the derivative so the slope of my tangent is 1. Then I found the equation of the tangent which is y=x + 1. I now know that the slope of my circles is -1 and I know that
(x-a)^2 + (y-b)^2= 18
Could you help me with the next step? In...
Two circles of radius 3√2 are tangent to the the graph y^2 =4x at (1,2). Find the equation of each circle.
I have found the derivative of the graph, which is 1/√x. I know that the equation of the circle is X^2 + Y^2=r^2 where r is the radius so the equation of each circle is X^2 + Y^2=18...
i am a bit stuck because i do not understand how to plug in the numbers so I've got this far:
the limit is 2a so now i can say... 2(1)
m=2 at that point
now in y=mx + b form say
y=2x + b
-3= 2(1) + b
b=-5
therefore one of the lines is 2x-5. How would i get the other equation (also...
Find the slope of the tangent to the parabola y=-3x^2 + 4x - 7 when x=a. I know how to get the limit using the tangent so i end up with a slope in terms of a (you can also get it using the derivative) but now the next part states:
At what point on the parabola is the tangent perpendicular to...
Show that the rate of change of the volume of a cube with respect to its edge length is equal to half the surface area of a cube.
I know that surface area= 6l^2(because of the six faces)
I know that volume is l^3. How do I relate volume then to edge length