Solve the problem.The range r of a projectile is given byr =
v2 sin 2?,where v is the initial velocity and ? is the angle of elevation. If r is to be
and
what must the angle of elevation be? Give your answer in degrees to the nearest hundredth.
A. 0.25°
B. 0.36°
C. 0.18°
D. 89.82°
Answer: C
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Find the sum of the geometric series for those x for which the series converges.
A.
B.
C.
D.
Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.log98 14 + log98 7
A. 98 B. 1 C. 14 D. 7
x? = x(0.6 ? 0.01x ? 0.015y) , y? = y (0.009 ? 0.001x ? 0.003y)
Let x and y represent the populations (in thousands) of two species that share a habitat. For each system of equations, find and assess the stability of the equilibrium points. Remember that, for real populations, both x0 and y0 must be nonnegative for ( x0 , y0) to be an equilibrium point.
Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.(-3, 0), m = 2
A. y = 3x + 2 B. y = 2x + 6 C. y = -3x + 2 D. y = -2x - 3