Limits
Find the limit of x2-5x+2 as x approaches 1.
What is -2?
What is the derivative of secx?
What is secxtanx?
When you integrate to find area you are accumulating all of the areas of infinitely many of these shapes?
What is a rectangle?
Find the area under the curve y = x from 0 to 4.
What 8?
Write an equation of the tangent line at x = 3 for the curve y = x3-6x+5
What is y-14 = 21(x - 3)?
Find the limit of 7/x3 as x approaches infinity
What is 0?
A line that passes through the curve at x=a and has a slope m=F '(a). Name this type of line.
What is a tangent line?
Evaluate the integral from 0 to pi ∫ (sin x+2)dx
What is 2pi + 2?
The area of this particular cross section is (sqrt 3)a2/4
What is an equilateral triangle?
Find any points where the graph of f(x)-(x2+x-6)/(x2-2x) has a removable discontinuity
What is x =2?
Answer the following Limit Question: Lim (x2-3x-10)/x2-25) as x--> 5
What is 7/10?
Find this equation's derivative: 4x3 + 7x2 + 2x + 3
What is 12x2 + 14x + 2
The derivative of this function is csc2x - (1/(5-x)). What is the function?
-cotx+ln(5-x)+C
Find the volume of the solid generated when the area bounded by x=1, x = 2 and y = sqrt(x) is rotated around the x-axis.
What is 3pi/2?
Find the derivative of 3x2+2y3-5=1
What is -x/y2?
Find the limit of (7x4+2x7)/4x7 as x approaches infinity.
What is 1/2
Find the derivative of (8x+3)(2x2-7x) and simplify
48x2-100x-21
This equation's derivative is: 25x^3 - 12x^2 + X. Find the equation.
What is 25x4/4 - 4x3 + x2/2 + c ?
Would you need the disc or washer method to find the volume of the solid generated by taking the bounded region of x = 2, x = 5, and y =x2 and rotating it about the y-axis?
What is the Washer Method?
If dy/dx = 5x/y, find the equation y by separation of variables for the particular solution y(0)=-2
y = - sqrt(5x2+4)
What is 9/5?
Find the derivative and simplify. (e2x-3)/(7x)
(14xe2x-3-7e2x-3)/49x2
Integrate from-1 to 3 ∫ ((2x+1)2)dx.
What is 172/3?
Find the area enclosed by y=x^2 and the y-axis between [0,3] is revolved around the y-axis.
What is 81/2 pi?
Find d2y/dx2 of the following equation y=3x4-4x(3/2)
What is 36x2-3x(-1/2)