Evaluate the integral.
A. 
sin5x + 
sin 3x + C
B. 
sin 2x + 
sin 8x + C
C. 
sin 2x - 
sin 8x + C
D. 
cos 2x + 
cos 8x + C
Answer: B
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Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 3 = 8" in exponential form.log 10 0.1 = -1
A. 1 -10 = 0.1 B. 10 -1 = 0.1 C. 10 1 = 0.1 D. 10 -0.1 = 1 E. 10 0.1 = -1
Solve the problem.Two forces, F1 and F2, of magnitude 60 and 70 pounds, respectively, act on an object. The direction of F1 is 
and the direction of F2 is 
. Find the magnitude and the direction angle of the resultant force. Express the direction angle to the nearest tenth of a degree.
A. 
= 92.20; ? = 89.4°
B. 
= 94.63; ? = 87.2°
C. 
= 99.37; ? = 93.7°
D. 
= 92.20; ? = 80°
Provide an appropriate response.A student claims that since logbx = a is not defined for negative values of x, then a must also not be negative. What is wrong with this statement?
What will be an ideal response?
Solve the problem.The orbit of a planet around a sun is an ellipse with the sun at one focus. The aphelion of a planet is its greatest distance from the sun, its perihelion is its shortest distance, and its mean distance is the length of the semimajor axis of the elliptical orbit. If a planet has a perihelion of 565.6 million miles and a mean distance of 568 million miles, write an equation for the orbit of the planet around the sun.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1