A steel girder 8 m long is moved on rollers along a passageway 4 m wide and into a corridor at right angles with the passageway. Neglecting the width of the girder, how wide must the corridor be?
A3.6 m
B1.4 m
C1.8 m
D2.8 m
Mathematics · Question Bank
Differential Calculus
28 of 112 questions match · page 2 of 2. Answer in your head first, then check the solution.
A girl is flying a kite which is at a height of 120 ft. The wind is carrying the kite horizontally away from the girl at a speed of 10 ft/sec. How fast must the string be let out when the string is 150 feet long?
A4 ft/s
B5 ft/s
C8 ft/s
D6 ft/s
Find the minimum distance from the point (4, 2) to the parabola \(y^2 = 8x\).
A\(3\sqrt{3}\)
B\(2\sqrt{3}\)
C\(3\sqrt{2}\)
D\(2\sqrt{2}\)
What is the allowable error in measuring the edge of a cube that is intended to hold 8 cu. m, if the error of the computed volume is not to exceed 0.03 cu. m?
A0.002
B0.003
C0.0025
D0.001
Water is running out of a conical funnel at the rate of 1 cu. in/sec. If the radius of the base of the funnel is 4 in and the altitude is 8 in, find the rate at which the water level is dropping when it is 2 in from the top.
A−1/9π in/sec
B−1/2π in/sec
C1/2π in/sec
D1/9π in/sec
For what value of k will \(x + \dfrac{k}{x}\) have a relative maximum at x = −2?
A−4
B−2
C2
D4
Find the maximum area of a rectangle which can be inscribed in an ellipse having the equation \(x^2 + 4y^2 = 4\).
A4
B3
C2
D5
What is the allowable error in measuring the edge of a cube that is intended to hold 8 cu. m, if the error of the computed volume is not to exceed 0.03 cu. m?
A0.002
B0.003
C0.0025
D0.001