Find all solutions of the equation in the complex number system.x2 + 64 = 0
A. {8}
B. {8, -8}
C. {8i, -8i}
D. {32}
Answer: C
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Provide an appropriate response.Use the law of sines to solve the triangle ABC if a = 19, c = 15, and C = 105°. If there are two possibilities, find both solutions. Round sides to four significant digits and angles to the nearest 0.1°.
A. A = 49.7°, B = 25.3°, b = 8.406 B. A = 133.0°, B = 47.0°, b = 6.714 C. A = 133.0°, B = 47.0°, b = 6.714; A = 49.7°, B = 25.3°, b = 8.406 D. no solution
Use a trigonometric substitution to evaluate the integral.
A. 2.317 B. 0.414 C. 0.386 D. 0.138
If y varies directly as x, find the direct variation equation for the situation.y = 36 when x = 32
A. y = 4x
B. y = 
x
C. y = x + 4
D. y = 
x
Change the logarithmic expression to an equivalent expression involving an exponent.log3243 = x
A. 2433 = x B. 243x = 3 C. x3 = 243 D. 3x = 243