Homework Statement
Evaluate the integral by interpreting it in terms of areas.
\int(1+\sqrt{9-x^{2}})dx}
The integral is from -3 to 0. I should be able to evaluate it as a limit of sums, since I've not been taught the fundamental theorem of calculus yet.
Homework Equations...
Homework Statement
The upper right-hand corner of a piece of paper, 12 in by 8 in is folded over to the bottom edge. How would you fold it to minimize the length of the fold? In other words, how would you choose x to minimize y?
Homework Equations
None so far.
The Attempt at a...
Homework Statement
f(x) = x^{4} - 2x^{2} + 3
Find the intervals of concavity and the inflection points.
Homework Equations
f''(x) = 4(3x^{2}-1)
The Attempt at a Solution
f''(x) is zero at \pm\frac{1}{\sqrt{3}}
I've found the correct intervals of concavity, which are (-\infty...
Homework Statement
Find the linear approximation of tan(44)
Homework Equations
f(x) = tan(44 + x), let x = a = 1
f`(x) = sec2(44+x)
The Attempt at a Solution
L(x) = f(a) + f`(a)(x-a)
L(x) = 1 + 2(x-1)
L(0) = 1 + 2(0-1) = -1 (Answer should be approx. 0.965)
Where am I going wrong? X should...
Is 22x+y = 4x2y? If I substitute various digits into the x and y variables, it works, but I can't understand why. Can anyone please explain this to me?
For example, if we choose x=3 and y=1,
2(2)(3)+1 = 27 = 128
2(2)(3)+1 = 4321 = 64(2) = 128
Thanks