IVT
What conditions must be met to use the intermediate value theorem?
Continuous on a closed interval
Find the absolute maximum of f(x)=x2 on the interval [1,3]
Absolute maximum at (3,9)
Determine the values of c that satisfy the M.V.T of f(x)=2t−t2−t3 on the interval [-2,1] (calc active)
c=−1.215, 0.549
What is the derivative of y=sin(8x3+4)
dy/dx=24x2cos(8x3+4)
What event does Sophia run in track?
2 mile
Can the intermediate value theorem be used on the function (x2-4x-4)/(x-2) on the interval [0,5]. Justify your answer.
No, because there is an infinite discontinuity at x=2
Find the coordinates of the absolute minimum of x2+1 on the interval [-2,2]
(0,1)
Determine the values of c which satisfy the MVT of f(x)=-8t+e-3t on [-2,3] (Calc Active)
c=-1.0973
Using implicit differentiation, solve for dy/dx
-x2 +y3 = 4
dy/dx = -2x/3y2
What college is on the hoodie Max Berbeco routinely wears?
U-Mich
Can the I.V.T be used to guarantee at some point f(c)=6 on the interval [-2,2] of the function x3-2. What, c value makes f(x)=6
Yes. c=2.
Find the coordinates of the absolute maximum on the interval [-3,3] of the function x2+2x+1
(3,16)
Determine the values of c that satisfy the M.V.T of f(x)=x2-2x-8 on the interval [-1,3]
c=1
Solve ∫4xcos(2-3x)dx
((-4x/3)(sin(2-3x))+(4/9)(cos(2-3x))+c
What F1 team does Adrian Popa support?
Redbull Racing
Lucas Berman is 6 feet tall. At what point in time was he 73 inches tall?
Never. 6 feet is 72 inches.
Find the absolute minimum of (x+4)/(2x2+x+8) on [-10,0]
x=-4±3√2
Determine the values of c that satisfy the M.V.T of f(x)=(x2-6x+7)/(x-2)on the interval [0,4] (calc active)
The function is not continuous on the interval. Therefore no such C value can exist.
Name three mathematicians who have Calculus concepts/theorems/methods named after them. (Last name)
Euler, Leibniz, Newton, L'hospital.
What position does Max Klumb play in volleyball?
Right & Setter.
dy/dx=-6x+6
y(0)=4
On the interval [0,4] will Y ever equal -20. What X value (if any exists) will make this true?
Yes, x=4
Determine the coordinates of the absolute extrema of y=ln(x2+4x+14) on [-4,2]
Absolute Maximum: 3.2581 at x=2
Absolute Minimum: 2.3026 at x=−2
Determine the values of c that satisfy the M.V.T of f(x)=(x-4)/(x2+2) on the interval [0,4] (calc active)
c=0, c=1.759
A light is mounted on a wall 5 meters above the ground. A 2 meter tall person is initially 10 meters from the wall and is moving towards the wall at a rate of 0.5 m/sec. After 4 seconds of moving is the tip of the shadow moving towards or away from the person and at what rate?
The tip of the shadow is moving towards the person at a rate of 1/3 m/s?
Name all classes Mr. Whitfield has taught at CRLS.
HN Algebra 1, HN Algebra 2, AP Stats, AP Calc BC.