Recent content by Moonflower

well, 9/2 + 5 is 19/2, or 9.5 isn't it? Also, can you describe me the process? thanks.

How did you get to that result? It satisfies, but I couldn't reach that result..

Here's the question: Let f be the function satisfying f'(x)=x\sqrt{f(x)} for all real numbers where f(3)=25. a. Find f''(3) b. Write an expression for y-f(x0 by solving the differential equation \frac{dy}{dx} = x\sqrt{y} with the initial condition of f(3)=25. For a, I got...

aah, i didn't think about that..thanks!

Calculus Logarithmic Functions help please! The question is: A particle moves alonge the x-axis with position at time t given by x(t) = e^(-t) sin t for 0 ≤ t ≤ 2π. 1. Find the time t at which the particle is farthest to the left. Justify your answer. 2. Find the value of the constant A...

When does 226Ra become "safe"? Hi, I was working on an assignment which deals with radioactive decay. Half life of 226Ra is 1600 years (it varies from source to source, but this is the one I chose), and the equation I got for half-life is y=Ce^(-0.000433216988t), C being the initial value and...

Borek: Can you give me specific process that involves calculus? Cesium: what is derivation of rate laws exactly? Thanks!

Mark44: Actually, I would be thankful if you can explain how the antiderivative of arcsin (x) works, because I have trouble understanding the concept. Thanks.

Hi. I'm having trouble trying to understand the relationship between inverse trig functions, especially arcsin x, and pythagorean identity. I know that because cosx=sqrt(1-(sinx)^2), derivative of arcsin x is 1/(cos(arcsin x)) = 1/(sqrt(1-(sinx)^2)arcsinx)) = 1/(sqrt(1-x^2). But how does...

What are good sources to find a model for catenary used to build suspension bridges? I know that the equation for catenary is a*sin(x/a). what does a stand for? Thanks.

Hi, can you help me solve these three questions? Please show each step. Thanks. 1. solve for x: arcsin(6x-pi)=1/8 2. Find an equation of the tangent line to the graph of y = arcsin (6x) at the point ((1/(6sqrt2),(pi/4)) 3. Find the indefinite integral of 1/sqrt(81-100x^2)

When I apply the Fundamental theorem of calculus in the last step, for LaTeX Code: \\int_8^{10} u^{-\\frac{1}{2}} du , do I use 8 and 10 as my a and b or do I use 5 and 7?

oh, i see it...sorry for being an idiot :P thx, both of you guys.

HallsofIvy: thanks for your help, but what you gave, i think, is indefinite integral, rather than a definite integral. from what i know, because definite integral is a limit, it has to end in a certain number, without a variable. thanks again for your help though

Can you show me step by step to solve the definite integral of 1/(sqrt(3+x)), lower bound 5 and upper bound 7? I'm not that good at calculus, so please explain each step. Thanks. God bless y'all