- Seatwork 1: Given 3 functions, draw the graphs on (-2, 2) and evaluate the limit that follows:
- f(x) = x[x] + x, find lim as x -> 0, f(0), lim as x -> 1, f(1)
- g(x)=(x^2-x)/x, find lim as x -> 0, g(0)
- h(x)={(x^2-x)/x if x!=0, 1 if x=0}, find lim as x -> 0, h(0)
- f(x)=1/x, find lim as x -> 0, f(0)
- Seatwork 2: Find discontinuity:
- f(x) = { (x=2)^2 if x<=0, x^2 + 2 if 0 < x}
- f(x)={3x-1 if x < 2, 4-x^2 if 2<=x}
- nos. 41 and 42 of tcwag 6 (pakihanap yung page)
- Seatwork 3: Math SW3/HW 5: p. 162-163 (TCWAG6), nos. 23, 24, 30, 32, 36, 37, 38, 42, 44, 47. (pero pinass na to kay sir)
- Seatwork 4:
- cube rt. (x) + cube rt. (xy) =4y^2
- y/(sq.rt(x)-y)=2+x^2
- csc(x-y)+sec(x+y)=x
- Prove: Given (x^n)(y^m)=(x+y)^(n+m), show that dy/dx = y.
- Find the equation of the TANGENT LINE to cube rt.(xy) = 14x + y at the point (2, -32).
- Seatwork 5:
- a stone is dropped from a building 256 ft. high. b) find the instantaneous velocity of the stone at 1 sec, and 2 sec. c) fine how long it takes to reach the ground. d) what is the speed of the stone when it reaches the ground?
- a rocket is fired vertically upward from the ground with initial velocity 560 ft/sec. (a) how long will it take the rocket to reach the highest position? (b) how high will the rocket go? (c) what is the instantaneous velocity at t=10, t=25? (d) what is the speed of the rocket at t=10, t=25?
- Boyle's law for the expansion of gas PV=C where pressure P weight per quare unit of area is the pressure, V cubic units is the volume of gas, and C is a constant. ( a ) show that V decreases at a rate proportional to the inverse square of P. (b) find the instantaeous rate of change V with respect to P when P = 4 and V = 8.
- Find the instantaneous rate of change of the slope of the tangent line of y=2x^3-6x^2-x+1 at the point (3,-2).
GOD BLESS SA'TING LAHAT BUKAS. :)
