Unit 1/unit 2
Evaluate the following limit
limx->-2 x2+3x-12
What is -14
when is a particle speeding up
what is v(t) and a(t) have the same sign
use left Riemann sum with 4 equal subintervals to approximate
∫15 1/xdx
what is 25/12
what is the particle solution that satisfies the given differential equation with the given initial condition
f'(x)= 3x, f(0)= 5
what is 3/2x2+5
f has a relative Max when
what is f'(x)=0 or undefined and f' changes from + to -
given the function f(x) = {x2-x-12} / {x2-6x+8}
at which x value is the function discontinuous due to a vertical asymptote
what is x=2
what is the derivative of (3x3+2)5
what is 45x2(3x3+2)4
when does a function have a critical point
What is when the first derivative = 0 or undefined
find the displacement of a beetle if it has a velocity of
v(t)= (2t- 5) cm/s on the interval t=1 to t=3.5
what is -1.25
what is lim x->1 x2-1/ln(x)
what is 2
what is the derivative of f(x)= 6tanx-secx
what is dy/dx=6sec2x-secx tanx
A particles position is 2/t2+4 for any value of t on the interval 0<t<10
what is the velocity at t=3
what is -12/169 or -0.071
what instantaneous rate of change is guaranteed by the mean value theorem for the function y = x3-x2-2x+1 on the closed interval (-1, 4)
what is 8
find the area between the curve y=x2 and y=-x2+8
what is 21.333 or 64/3
if y=(x3+2)(x2-x) then y''=
what is 20x3-12x2+4
calculate the limit
lim 10/5-15-x/2
x->infinity
what is 2
The rate at which the volume of a sphere decreases is 9.2m3/sec. What is the value of dr/dt at the instant the radius is 2 m?
reminder: V=4/3nr3
what is dr/dt =-0.183
Find the area of the largest rectangle that can be made with a total perimeter of 50 meters
what is 156.25 m2
Given that f''(x)=2, f'(2)=5, and f(2)=5, find the function f(x)
what is f(x)=x2+x+4
what x value satisfies the conclusion of the mean value theorem for the function f(x)= 3x2-2x+4 on the closed interval [0,2]
what is x=1
2what Is the derivative of
5xex+2x2ex-ex
with respect to x
what is dy/dx=2x2ex+9xex+4ex
Find the equation to the normal line to the graph of the equation x2+y2=8 at the point (-2,2)
Hint: Implicit differentiation
what is y=-x
solve the integral
∫01 x/1+x4 dx
what is n/8 or 0.393
find the volume revolving around the region bound by y=2x and y=x2 about the y axis
Hint:washer method
what is 8n/3 or 8.378
solve the differential equation y''=6x+2 if y'(0)=5 and y(1)=10
find the equation for y
what is y=x3+x2+5x+3