(2021) Module-0 Dumps and Practice Test (57 Questions) [Q18-Q39]

(2021) Module-0 Dumps and Practice Test (57 Questions)

Guide (New 2021) Actual CAA Global Module-0 Exam Questions

NEW QUESTION 18
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 D
B. Option B
C. Option A
D. Option C

Answer: A

NEW QUESTION 19
Identify which of the following statements is not true about the probability density function of a continuous random variable.

A. Integrating it across its domain must produce an answer of 1.
B. Differentiating it gives the cumulative distribution function.
C. It must be non-negative.
D. It could be greater than 1.

Answer: D

NEW QUESTION 20
Calculate the single extreme point of the function:

A. (0,4)
B. (1.1)
C. (0.1)
D. (0,2)

Answer: D

NEW QUESTION 21

Calculate the minimum value of f.

A. -0.75
B. -0.50
C. 0.00
D. -0.25

Answer: A

NEW QUESTION 22
A weekly pet insurance premium is given by a solution of the following equation:
4x2-11x-3 = 0
Calculate the premium.

A. -£0.75
B. -£0.25
C. -£1
D. -£3

Answer: D

NEW QUESTION 23
Simplify the expression:

A)

B)

C)

D)

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

Answer: D

NEW QUESTION 24
A student is trying to estimate the root of the equation
Determine which of the suggestions will lead to the root.

A. II and IV only
B. I and II only
C. II and III only
D. I and IV only

Answer: B

NEW QUESTION 25
Let X be a continuous random variable with probability density function f(x) that is defined over all real numbers.
DefineE[g(X)]whereg(x)is a continuous function.
A)

B)

C)

D)

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

Answer: A

NEW QUESTION 26
Express the following using Pi notation:

A)

B)

C)

D)

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

Answer: C

NEW QUESTION 27
Consider the function f(x) =x2- 5x - 3
The value of one of the roots of the above equation can be obtained by using the iteration formula

Apply the iteration formula to determine the value of the root.

A. 4.40
B. 1.54
C. 0.54
D. 5.53

Answer: A

NEW QUESTION 28
Determine which of the following statements is not true about the binomial expansion of (1+x)p, assuming p is real.

A.
B.
C.
D. it converges when p is a p positive integer.

Answer: A

NEW QUESTION 29
Calculate the sum of the following series: 3, -6,12, -24,..., -1.536.

A. -1,023
B. 3,069
C. -3,833
D. 0

Answer: A

NEW QUESTION 30
Identify which of the following quantities can always be derived from a box plot of a data set.
I.Mean
II.Median
III. Mode
IV. Range
V.Sample size

A. II and IV only
B. I and III only
C. IV and V only
D. I and II only

Answer: A

NEW QUESTION 31
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 minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.
B. It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.
C. It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.
D. It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.

Answer: B

NEW QUESTION 32
Consider the three vectors:

Determine which of (he vectors or combination of vectors shown in the options has the greatest magnitude

A. w
B. v
C. v-u
D. u+v

Answer: D

NEW QUESTION 33
Calculate the scalar product of the vectors A and B. where A = (5,10, 2) and B - (2. 3, 3).

A. 0
B. (10,30,6)
C. 1
D. 2

Answer: B

NEW QUESTION 34
Consider the following definite integral:

Determine for which combination of a and b the integral converges.
A)

B)

C)

D)

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

Answer: A

NEW QUESTION 35
Let a and b be two positive numbers and let m and n be two positive integers.
Identify which of the followingequalities is false.
A)

B)

C)

D)

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

Answer: A

NEW QUESTION 36
The particular solution of the second-order difference equation

Determine the values of(A, B).

A. (-3, 2)
B. (-2,5)
C. (-2, 3)
D. (5,-2)

Answer: D

NEW QUESTION 37
Identify which of the following statements is true,where X is a discrete random variable that exists over the domain [a. b], and F(x) is its distribution function.
A)

B)

C)

D)