Relationships <3
The rate of change of the area of a square in relation to the side length
dA/dt=2sds/dt
The limit as x approaches 4 of 3x-2
What is 10
The integral of ex
what is ex+C
The derivative of the parent cubic function
What is 3x2
More sub-intervals of a Riemann sum makes the approximation more...
What is accurate
The speed the circumference of a circle is increasing when the diameter is increasing at 3 m/s
What is 3pi m/s
The limit as x approaches 0 from the right of 1/x
What is infinity
The integral of a velocity function
What is displacement
The derivative of the trig functions whose graph has asymptotes.
What is sec2x
The approximation of f(1.2) when the tangent line of f at x=1 is given by T(x)=3x-2
What is 1.6
The general formula for the rate of change of the volume of a cone.
dV/dt=pi/3[2rh(dr/dt)+r2(dh/dt)]
The limit as x approaches infinity of x/(2x3+x+21)
what is 0
The integral of x3-4x+1 from x=6 to x=2
What is -260
The slope of the tangent line of the graph 4x3-2x+9 at x=3
What is 106
The area under this curve given by a right Riemann sum
x | 1 | 5 | 7 | 12
y | 4 | 6 | 9 | 11
What is 97 (square units)
The speed the hypotenuse of an isosceles right triangle is growing when the legs are 4 cm and growing at 1 cm/s
What is square root of 2
The limit as x approaches infinity of (4x3+x2-93)/(2x3-x+22)
What is 2
The distance a particle travels from times t=2 to t=5 with a velocity of -2x3-x+9
The differential equation for x3-x2y+2y=21
What is y'=(2xy-3x2)/(2-x2)
The formula for a trapezoidal approximation
(b-a)/2n*(f(a)+2f(x1)+2f(x2)+...+2f(xn-1)+f(b))
The rate of change of the height of a cylindrical tank when the radius of the cylinder is 4m and the tank is leaking at a rate of 48 m3/s
What is 3 m/s
The value of k that would make the limit as x approaches 4 of this function exist
f(x) = {3x^2+2k; x<4
{x+6k; x>4
What is 11
The integral of exsinx
(exsinx-excosx)/2+C
The high school sport Mr. Phillips used to be a coach for
What is golf
The approximation of f(0) using Euler's method with 4 steps when dy/dx=2x+y and f(4)=2
What is -2