Recent content by chjopl

For solution b I took -log x= 10.02 so i got x to be 9.55*10^-11. Then i took K_b=(9.55*10^-11)^2/(.5-9.55*10^-11) and got the K_b to be 1.82*10^-20. I think i messed up there because when i take K_w/K_b=K_a i get the K_a to be a very large number. Where did I go wrong?

Captain Kirk, of the Starship Enterprise, has been told by his superiors that only a chemist can be trusted with the combination to the safe containing the dilithium crystals that power the ship. The combination, which consists of four numbers, is the pH of solution A described below, followed...

Captain Kirk, of the Starship Enterprise, has been told by his superiors that only a chemist can be trusted with the combination to the safe containing the dilithium crystals that power the ship. The combination, which consists of four numbers, is the pH of solution A described below, followed...

I need help with two questions. Find a divergent improper integral whose value is neither infinity nor -infinity. 2. Find the volume of an ellipsoid (a^2*x^2) + (b^2*8y^2) + (c^2*z^2) = a^2*b^2*c^2 using integration.

Give an example of an integral on (-infinity, infinity) that will lead to an ambigious answer if we evaluate the interal in terms of cancellation of areas.

Thanks for the help but now i have another problem Let f''> 0 and suppose f is increasing on [a,b], show that Mid(n) is an underestimate for f(x) dx from a to b.

For F(x) dx from a to b show TRAP(n)=Left(n) + 1/2 (f(b)-f(a))*delta x

does a local max exist for f(x)=x + ln(x)

Find the local maxima: f(x)=2x^3 - 3x^2 -12x + 3

so was y=23x+18 correct?

Find the equation of the tangent line at x=2 F(X)=2x+7x(e^(x-2)) I know you put 2 into find the y intercept and you take the derivative to find the slope. I get 2+(7e^(-2)x + 7e^-2)e^2 for my derivative and y=23x+18 as my answer and i know that is not correct.

Yeah thanks a lot i was messing up and having ln7*xln5

2^x=7*5^x I know you have to take ln of both sides but i am having trouble doing that for the right side.

I can do the intregal part i am just having trouble finding the points of intersection. I know there are 4 different intregals that need to be used.

Find area between y=Sin x and y=Cos x on intervals [Pi/4, 15Pi/4].