Jobs By Abekus

General Questions Set 3:

Quiz Mode

One of the eigenvectors of the given 2x2 matrix

A =
1 3
2 2

1 -1

2 -3

-1 1

-3 2

Solution:

If ZT[U_n] = U(z), then what is the value of ZT[k^-nU_n]?

U(z/k)

U(zk)

U(z-k)

None of the above

Solution:

The probability of two heads appearing simultaneously when two coins are tossed is

1/8

1/6

1/4

1/2

Solution:

What is the Fourier series of the function f(x) = (π - x/2)^2 if f(x) is an even function?

π^2 /6

π^4 /3

π/4

π^3

Solution:

The coordinates of the intercept of the given equation 4x + 5y - 7 = 0 are:

4/7 and 5/7

-4/7 and 5/7

4/7 and -5/7

- 4/7 and -5/7

Solution:

A fair coin is tossed three times in succession. If the first toss produces a head, what is the probability of getting exactly two heads in the three tosses?

1/8

1/2

3/8

3/4

Solution:

Find the value of c if the function f(x) = sin³(x)cos(x) is continuous over the interval [0, π/2] and differentiable over the interval (0, π/2), and c is in the interval (0, π/2).

π/3

π/6

π/2

Solution:

A function f(x) has the property that f^(n)(x) = f^(n+2)(x) for n ≥ 1 and n ∈ N. What is the most general expression for f(x)?

x + x³/3! + x⁵/5! + ...

1 + x²/2! + x⁴/4! + ...

c₁ * cosh(x) + c₂ * sinh(x)

cosh(x) + sinh(x)

Solution:

In the 'Abekus Play' engineering mathematics section, there are 6 questions on Probability, 4 on Calculus, and 10 on Linear Algebra. If a student randomly selects 2 questions to practice for their exams, what is the probability that both questions are from the Linear Algebra topic?

0.24

2.25

0.5

Solution:

The function y = |3 - 2x| is

Continuous and differentiable for all x ∈ R

Continuous for all x ∈ R and differentiable for all x ∈ R except at x = 3/2

Continuous for all x ∈ R and differentiable for all x ∈ R except at x = 2/3

Continuous for all x ∈ R except at x = 3 and differentiable for all x ∈ R

General Questions Set 3:

One of the eigenvectors of the given 2x2 matrix

A =
1 3
2 2

Solution:

If ZT[U_n] = U(z), then what is the value of ZT[k^-nU_n]?

Solution:

The probability of two heads appearing simultaneously when two coins are tossed is

Solution:

What is the Fourier series of the function f(x) = (π - x/2)^2 if f(x) is an even function?

Solution:

The coordinates of the intercept of the given equation 4x + 5y - 7 = 0 are:

Solution:

A fair coin is tossed three times in succession. If the first toss produces a head, what is the probability of getting exactly two heads in the three tosses?

Solution:

Find the value of c if the function f(x) = sin³(x)cos(x) is continuous over the interval [0, π/2] and differentiable over the interval (0, π/2), and c is in the interval (0, π/2).

Solution:

A function f(x) has the property that f^(n)(x) = f^(n+2)(x) for n ≥ 1 and n ∈ N. What is the most general expression for f(x)?

Solution:

In the 'Abekus Play' engineering mathematics section, there are 6 questions on Probability, 4 on Calculus, and 10 on Linear Algebra. If a student randomly selects 2 questions to practice for their exams, what is the probability that both questions are from the Linear Algebra topic?

Solution:

The function y = |3 - 2x| is

Solution:

Related Question Sets:

Related Topics:

General Questions Set 3:

One of the eigenvectors of the given 2x2 matrix A = 1 3 2 2

Solution:

If ZT[Un] = U(z), then what is the value of ZT[k-nUn]?

Solution:

The probability of two heads appearing simultaneously when two coins are tossed is

Solution:

What is the Fourier series of the function f(x) = (π - x/2)^2 if f(x) is an even function?

Solution:

The coordinates of the intercept of the given equation 4x + 5y - 7 = 0 are:

Solution:

A fair coin is tossed three times in succession. If the first toss produces a head, what is the probability of getting exactly two heads in the three tosses?

Solution:

Find the value of c if the function f(x) = sin³(x)cos(x) is continuous over the interval [0, π/2] and differentiable over the interval (0, π/2), and c is in the interval (0, π/2).

Solution:

A function f(x) has the property that f^(n)(x) = f^(n+2)(x) for n ≥ 1 and n ∈ N. What is the most general expression for f(x)?

Solution:

In the 'Abekus Play' engineering mathematics section, there are 6 questions on Probability, 4 on Calculus, and 10 on Linear Algebra. If a student randomly selects 2 questions to practice for their exams, what is the probability that both questions are from the Linear Algebra topic?

Solution:

The function y = |3 - 2x| is

Solution:

Related Question Sets:

Related Topics:

One of the eigenvectors of the given 2x2 matrix

A =
1 3
2 2

If ZT[U_n] = U(z), then what is the value of ZT[k^-nU_n]?