For Exercises 51-52, a. Determine the eccentricity of each hyperbola. b. Based on the eccentricity, match the equation with its graph. The scaling is the same for both graphs. Equation 1: x 2 144 − y 2 81 = 1 Equation 2: x 2 81 − y 2 144 = 1
For Exercises 51-52, a. Determine the eccentricity of each hyperbola. b. Based on the eccentricity, match the equation with its graph. The scaling is the same for both graphs. Equation 1: x 2 144 − y 2 81 = 1 Equation 2: x 2 81 − y 2 144 = 1
Fill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. π/2 So/² 2xcosx dx Find the volume of the solid obtained when the region under the curve 38,189 on the interval is rotated about the axis.
Let f(x) = -5x-1, g(x) = x² + 5, h(x) = ·
x+4
3
Find (hog of)(1).
(hogof)(1)=
(Simplify your answer. Type an integer or a decimal.)
For the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value.
y= f(x) = x²+x; x=-1,x=2
a. Which of the following formulas can be used to find the slope of the secant line?
○ A.
2-(-1)
f(2) f(-1)
2+(-1)
C.
1(2)+(-1)
The equation of the secant line is
1(2)+(-1)
О в.
2+(-1)
f(2)-(-1)
D.
2-(-1)
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Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY