Find sec? , and csc? given that cot? = and sec? > 0.


Mathematics

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Solve the linear equation algebraically.-8b + 8 + 6b = -3b + 13

A. 5 B. 13 C. -13 D. -8

Mathematics

Find the domain and range of the inverse of the given function.f(x) = x3 - 1

A. Domain and range: (-?, ?) B. Domain: [0, ?); range: [0, ?) C. Domain: (-?, ?); range: [-1, ?) D. Domain: [-1, ?); range: (-?, ?)

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + 2xy + y2 - 8x + 8y = 0

A. ? = 36.9°
 +  = 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
B. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-, 0)
C. ? = 36.9°
 +  = 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
D. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -)

Mathematics

Suppose the number of cars passing through a toll booth in a 10 minute interval is a Poisson random variable. If the average number of cars is 23, give an expression for the probability that n cars pass through the booth. Is  correct?Enter "yes" or "no".

Fill in the blank(s) with the appropriate word(s).

Mathematics