A few pre-calc guidance needed
Hi again. I have a few problems which I feel like I'm right at the finish line but I just can't cross...They are the following:
Let a and b be real numbers.
f(x)=a sin(x)+ b ∛x+4
what is the value of f(log(log3))?
For this what i did was evaluate the log of 10 base 3, and then evaluate that...anyways, I evaluated eerything and then got the sin and 3rd roots of it, or x. I got the following:
.0056a+.685b=1 or f(.3214)=5
Whats next? I can evaluate log log 3 to get -.3214, so does that mean the answer is just -5? thanks..
The graphs of (x/4)+(y/3)=1 and ((x^2)/16)+((y^2)/9)=1 intersect at points A and B. Find the coordinates of a third point C on the graph of the second curve such that the area of triangle ABC is equal to 3
So I graphed them(isolated y for firstequation) and I found a circle being interescted in two points. I found A to be (0,3) and B to be (4,0). Now, point c obviously has to be in the northeastern part of the ellipse within the range of the line. I have no idea how to find it and get an area of 3 though. Maybe use the midpoint? (2,1.5)?
This is basically it for now. There are two other ones that I've solved but I'm not too sure about.