Rewrite using exponential notation. Assume that even roots are of nonnegative quantities and that all denominators are nonzero.
A. x-2/5
B. x-5/2
C. -x2/5
D. x5/2
Answer: D
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Solve the initial value problem. = 7 - e-t, y(1) =
, y'(0) = -3
A. y = - e-t
B. y = - e-t - 3t
C. y = 7t2 + e-t - 4t - 3 -
D. y = - e-t - 4t +
Find the measure of the dihedral angle indicated.The figure shown is a right prism whose bases are regular octagons. Find the measure of the dihedral angle between adjacent lateral faces.
A. 90° B. 120° C. 45° D. 135°
For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).f(x) =
A. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except 2
(iii) Vertical asymptote: x = 2; horizontal asymptote: y = -3
(iv)
B. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except -2
(iii) Vertical asymptote: x = -2; horizontal asymptote: y = -3
(iv)
C. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except -2
(iii) Vertical asymptote: x = -2; horizontal asymptote: y = 3
(iv)
D. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except 2
(iii) Vertical asymptote: x = 2; horizontal asymptote: y = 3
(iv)
Solve the problem.Suppose f(x) = 29.9 + 1.4log (x + 1) models salinity of ocean water to depths of at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the salinity (to the nearest hundredth) when the depth is 130 meters.
A. 32.86 B. -26.94 C. 61.91 D. 64.71