Recent content by oates151

So I took the derivative with respect to b and got dθ/db= (1+cos^2(θ)+cos(θ))/(2bcos(θ)sin(θ)+sin(θ)-cos(θ)) knowing the general form of the taylor series, I used the value of dθ/db at b=0 with θ=0 to get a value of -3 and plugged it into the tayor series general form θ(b)=θ(0)+(-3)(b)...

Homework Statement I was given the following problem, but I am having a hard time interpreting what some parts mean. We're given the equation sinθ+b(1+cos^2(θ)+cos(θ))=0 Assume that this equation defines θ as a function, θ(b), of b near (0,0). Computer the Taylor polynomial of...

Oh, I see. So on that case, in order to get a more accurate method, i'd calculate the slope between the two surrounding points which gets us -5.5 deg f/1000 ft. Now, they want the units in in deg F/min. Since she's carried upward at 3000 ft/min and the temperature is decreasing at -5.5 deg...

Homework Statement On February 16, 2007, paraglider Eva Wisnierska was caught in a freak thunderstorm over Australia and carried upward at a speed of about 3000 ft/min. The table below gives the temperature at various heights. Approximately how fast (in ◦F/min) was her ambient temperature...

Homework Statement A metal bar of length l in the figure below has one end attached at a point P to a circle ofradius a < l. Point Q at the other end can slide back and forth along the x–axis. (a) Find x as a function of θ (θ=angle POQ). (b) Assume the lengths are in centimeters and the...

Homework Statement Find the equations of both lines through the point (2,-3) that are tangent to the parabola y=(x^2)+x Homework Equations The Attempt at a Solution Took the derivative and got a slope of 5 and the slope of the normal line being -1/5, but the answer was marked...

Homework Statement Use the definition of the derivative to determine if f'(0) exists for the function, f(x) = (x^2)sin(1/x) if x is not 0 0 if x is = 0 Homework Equations f'(x) = f(x+h) - f(x) ------------ h The Attempt at a...

Okay, so that would make it 6.78 x 100g/100cm^3 making the mass of the object 6.78 g?

Okay, so I do the following: 6.5V + .6(100-v)=100 and get v=6.78 then I just take 6.78 x 6.5 and get 44.07 as the removed mass?

I'm unsure how to find those two specific questions you have asked. How do you derive the volume of wood taken out with the new specific gravity? My teacher has been out sick and I am trying to learn this since all my other classmates want to just fool around while he's out so forgive my ignorance.

Homework Statement A block of wood with a specific gravity of .6 with a volume of 100 cm^3 is made to just float in H2O by hollowing out some of the wood and replacing it with a substance of specific gravity of 6.5. How many grams of wood were replaced. Homework Equations Not totally...