最新のModule-0問題集で試験を準備する

The distribution of test scores from a recent clinical drug study have been tabulated below.
Determine i) whether the distribution of test scores are symmetric positively skewed or negatively skewed, and ii) the sample median value.

• A. i) Positively skewed, ii)
• B. i) Positively skewed, ii) 3
• C. i) Symmetric, ii) 4
• D. i) Negatively skewed, ii) 3

Identify the necessary and sufficient condition under which the quadratic equation ax2+ 2a2x + a3= 0 hasone repeated real root.

• A. a0
• B. a = 0
• C. a<0
• D. a>0

The volume of a cone can be determined by summing up the infinitesimal circular cross-sections of the cone across the length of the cone Consider the function f(x) = x2 for x contained in [0,1].

Now consider an infinitesimal circular cross-sectional element of width dx and radius r = f(x) Determine the volume of the cone enclosedby the function f(x) by considering the volume of each circular cross-sectional element (Recall thatthe sum of infinitesimal elements can be represented as an integral Recall also that the area of a

circle is
A)

B)

C)

D)
1

• A. Option A
• B. Option C
• C. Option D
• D. Option B

Determine the binomial expansion of (2x-X2)3.

• A. -x6+3x5-3x4+x3
• B. -x6+2x5-4x4+8x3
• C. -x8+2xa-4x4+8x3
• D. -X6+8x3

Consider the function f(x)x2 6x=20. This functions has a stationary point at x=3.
Determine the nature of this stationary point and how we know this to be true.

• A. It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.
• B. It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.
• C. It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.
• D. It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.