Search over 10,000 free study notes

Set f(x)= (x^4)-14x. f’(x)=4(x^3)-14=2(2(x^3)-7). Thus we can write (2(x^3)-7)/((x^4)-14x)=(1/2)f’(x)/f(x). The integral of f’(x)/f(x)=ln|f(x)|+c. Thus the integral of (2(x^3)-7)/((x^4)-14x) is (1/2)(ln|f...

a)First make the denominators the same by multiplying the 1/3 by 4 and 1/4 by 3. makesure top and bottom are multiplied then add the numerators together not denominators. answer should be 7/12. b) Do the ...

First differentiate: dx/dt = 3,   dy/dt = 3t² - 10t + 7

Using the chain rule: dy/dx = dy/dt * dt/dx = (3t² - 10t + 7)/3 

At stationary points, the...

We know Amber worked 4 hours on a Saturday, so she earned 4*£10= £40 that day. The rest of the money, which is £180-£40=£140, she must have earned it during the week. Knowing she earns £7 per hour, this w...

5x-3x>11+2 2x>13 x>13/2 or x>6.5