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This type of asymptote occurs when the degree of the numerator is greater than that of the denominator.
What is a Slant Asymptote?
The limit of 0/infinity and infinity/0.
What is 0 and infinity respectively?
The domain of all polynomial functions.
What is all real numbers?
The method to check extrema at critical points.
What is the First Derivative Test?
The method for determining interval width.
What is (b-a)/n where b and a are endpoints and n is the desired number of approximating rectangles?
True or False: All continuous functions are differentiable.
What is False?
The 7 indeterminate forms for L'Hospital's Rule.
What is 00, infinity0, infinity . 0, infinity . infinity, 1infinity, 0/0, infinity/infinity?
The term for the place where the concavity of a graph changes.
What is inflection points?
The constraint equation of a field that will enclose the largest area given 500 feet of fencing material and that a building is on one side of the field (so there won't need to be any fencing there).
What is 500= x + 2y?
This approximation method is an underestimate when the curve is concave down.
What is Left-hand approximation?
The simplified antiderivative for the function f'(x)=6x8-20x4+x2+9 given that f(0)=2.
What is (2/3)x9-4x5+(1/3)x3+9x
+2?
The conditions that must be satisfied in order to apply L'H's rule.
What is f and g must be differentiable functions where g'(x) does not equal 0 on an open interval that contains a (except possible at a).
The horizontal asymptote of (4x+2)/(x2+4x-5) and method for determining it.
What is y=0 because the degree of the denominator is > the degree of the numerator?
The simplified constraint equation of a box with a square base given 10 m2 of material to use in construction of the box.
What is 2lw+2wh+2lh= 2w2+4wh?
The Right-hand Riemann Sum for the distance travelled by a runner based on the following speeds given in half-second intervals. 0,6,11,15,18,19,20 (ft/sec).
What is 0.5[6+11+15+18+19+20]=44.5 feet?
The local extrema x-values (min and max values) for the following graph.
What is local max at x=6 and local mins at x=1 and x=8?
The limit as x approaches 0 from the right of sqrt(x)ln(x).
What is 0?
The critical numbers for the function f(x)=(x2-9)^3(2-8x)^4.
What is x=1/4, x=3, x=-3?
The dimensions of a field that will enclose the largest area given 500 feet of fencing material and that a building is on one side of the field (so there won't need to be any fencing there).
What is 250 ft x 125 ft?
The conceptual meaning of f(xi*) and deltax in the area summation formula.
What is the function value at each interval and the interval width, respectively?
The conclusion that can be drawn from a negative result upon completing the Second Derivative Test as it pertains to optimization.
What is a local max at the corresponding critical point (x-value)?
The limit as x approaches infinity of ((2x+3)/(2x-1))x.
What is e2?
The intervals of concavity for the function f(x)=x/(x2+4)
What is concave up: (-infinity,0)U(12,infinity) and concave down:(0,12)?
The dimensions of a poster that will have a total area of 200 in2 of printed area and will have 1 inch margins on the sides, a 2 inch margin on the top and a 1.5 inch margin on the bottom.
What is 10.7" x 18.7"?
The region that is represented by the following summation.
What is the integral from 0 to 4 of (x3+x+x2)dx?