Next Session: 2025-01-02

Assigned:

• Reading schedule

  • Monday, p. 153-163
    • till page 160
  • Tuesday, p. 164-174
  • Wednesday, p. 175-185
  • Thursday, p. 186-196
  • Friday, p. 197-207
    • Finish all the reading by Sunday

• Calculus practice (in addition to Question 29 and 30):

  1. Find the equation of the tangent line to $f(x)=x^3-2x^2+x$ at $x=2$
  2. A particle moves along a line such that its position is given by $s(t)=t^3-6t^2+9t+2$. Find the velocity and acceleration at $t=2$.
  3. A circle’s radius increases at a rate of 2 cm/s. How fast is the area of the circle increasing when the radius is 5 cm?
  4. A ladder 10 ft long leans against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1 ft/s, how fast is the top of the ladder sliding down the wall when the bottom is 6 ft from the wall?
  5. $x^3+y^3-6xy=4$, find $\frac{dy}{dx}$
  6. If $e^{x}y=x+y$, find $\frac{dy}{dx}$

I will post solution to 1-2, 5-6 and give you new set.