Recent content by anonymous12

Homework Statement Solve 2^{k-2}=3^{k+1} Homework Equations The Attempt at a Solution 2^{k-2}=3^{k+1} \frac{2^{k}}{2^{2}}=(3^k)(3^1) \frac{2^{k}}{3^{k}} = 4 \cdot 3 \frac{2^{k}}{3^{k}} = 12 What do I do next to solve for K?

Homework Statement For the function f(x) = 3sin 2x, find the instantaneous rate of change at point A (\frac{\pi}{6}, f(\frac{\pi}{6})) Homework Equations iroc = instantaneous rate of change iroc= \lim_{h\to 0} \frac{f(a+h) - f(a)}{h} The Attempt at a Solution iroc = instantaneous...

Ok so after I fix the silly mistake, this is how far I get. iroc= \lim_{h\to 0} \frac{(\frac{-20.4h-40.8}{h^2 + 4h +40} + 6.5) - 5.48}{h} iroc= \lim_{h\to 0} \frac{(\frac{-1.02^2 - 24.48h-81.6}{h^2 + 4h +40})}{h} I'm not sure what I should do next.

Homework Statement After you eat something that contains sugar, the pH level in our mouth changes. This can be modeled by the function L(m)=(\frac{-20.4m}{m^2 + 36}) + 6.5 where L is the pH level and m is the number of minutes that have elapsed since eating. Find the instantaneous rate of...

Can computer science majors do the jobs software engineers do and vice versa?

So it's my last year in high school and I enjoy programming but I don't know if I should apply to either computer science or software engineering. What really is the difference between the two majors?

Wow, so many books on the list. Could someone recommend me a book from the list that is an introduction to python?

Oops. But what do I do next? How do I solve the question?

Homework Statement Your favourite physics teacher who is late for class attempts to swing from the roof of a 24-m high building to the bottom of an identical building using a 24m rope as shown in Figure 5. She starts from rest with the rope horizontal, but the rope will break if the tension...

Nevermind. I got it!

Homework Statement Kepler's third law of planetary motion relates P, the period of a planet's orbit, to R, the planet's mean distance from the sun, through the equation log P = \frac{1}{2} (log K + 3log R), where K is a constant. Rewrite the formula as a single logarithm. Homework...

Homework Statement Given the exponential function and its inverse, where a > 0 Exponential Function: f(x)=a^x Inverse function: f^{-1}(x)=log_ax a) For what values of a do the graphs of f(x)=a^x and f^(-1)(x) intersect?The Attempt at a Solution I have no idea how to start this question. Off...

Ooooh thank you! I feel like an idiot now :(:

Homework Statement A 25.6-kg boy pulls a 4.81-kg toboggan up a hill inclined at 25.7º to the horizontal. The vertical height of the hill is 27.3 m and the coefficient of friction of the hill surface is 0.4 a) Determine how much work the boy must apply on the toboggan to pull it at a constant...

Homework Statement Solve each equation for 0≤\Theta≤2\pi (exact values where possible) The question: 2cos^22\Theta - cos2\Theta - 1=0 Homework Equations cos2\Theta = 2cos^2\Theta-1 The Attempt at a Solution 2cos^22\Theta - 2cos^2\Theta - 1 - 1 = 0 2cos^22\Theta - 2cos^2\Theta - 2 = 0...