Find an approximate value for the integral, using the trapezoidal rule with n intervals. Round the answer to the nearest tenth if necessary.
n = 3
A. 7.1
B. 0.6
C. 5.1
D. 3.5
Answer: C
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Use a sum-to-product identity to rewrite the expression.cos (7y2 - 10) + cos (4y2 - 4)
A. - 2
B. 2
C. 2
D. 2
Velocities have both direction and magnitude and thus are vectors. The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N 60° W at a speed of 80 km/h. (This means that the direction from which the wind blows is 60° west of the northerly direction.) A pilot is steering a plane in the direction N 45° E at an airspeed (speed in still air) of 250 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the ground speed of the plane. Round the result to the nearest hundredth.
What will be an ideal response?
Solve the problem.Bob fenced in a rectangular garden in his yard. The length of the rectangle is 5 ft longer than the width and the perimeter is 66 ft. What is the width of the rectangle?
A. 16 ft B. 28 ft C. 13 ft D. 14 ft
Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y varies directly with x. When x = 0.5, then y = 2.
A. k = 0.5; y = 0.5x B. k = 0.25; y = 0.25x C. k = 4; y = 4x D. k = 1.5; y = x + 1.5