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Calculus Questions Set 4:

Quiz Mode

Lim (x→1) { (x^15 - 1) / (x^10 - 1) } = ?

3/2

1/2

Solution:

What is the value of the integral ₀∫^π sin⁵x dx?

15/16

16/15

4/58

85/32

Solution:

What is the value of n if the vector field rⁿ •vec(r) is solenoidal?

-2

-3

Solution:

Find 'a' if the 17^th and 18^th terms in the expansion of (2+a)⁵⁰ are equal.

1/2

Solution:

The standard deviation of a uniformly distributed random variable between 0 and 2 is

1/√3

1/√12

1/√6

1/2

Solution:

Which of the following forms does k = lim_x→0 [(1/x) - (log(1+x)/x²)] take?

0/∞

∞/0

0/0

none of the above

Solution:

What is the angle between the radius vector and the tangent for the polar curve r = a(1 + sin θ) at θ = π/2?

-π/2

π/2

π/4

π/3

Solution:

What is the angle between the radius vector and the tangent for the following polar curve: r²cos(2θ) = a²?

π/2 - 2θ

3π/2 - 2θ

5π/2 - 4θ

π - θ

Solution:

The equation of a curve is given by x² **+ 2 * y² = 16**. The curve is revolved around the x-axis.

Find the volume of the solid generated in square units.

256 * π / 3

128 * π / 3

64 * π / 3

512 * π / 3

Solution:

The value of function f(x) at 5 discrete points are given. Using the trapezoidal rule with a step size of 0.2, the value of the integral ∫ 0 to 0.8 f(x) dx is:

X 0 0.2 0.4 0.6 0.8

f(x) 0 30 50 60 100

Calculus Questions Set 4:

Lim (x→1) { (x^15 - 1) / (x^10 - 1) } = ?

Solution:

What is the value of the integral ₀∫^π sin⁵x dx?

Solution:

What is the value of n if the vector field rⁿ •vec(r) is solenoidal?

Solution:

Find 'a' if the 17^th and 18^th terms in the expansion of (2+a)⁵⁰ are equal.

Solution:

The standard deviation of a uniformly distributed random variable between 0 and 2 is

Solution:

Which of the following forms does k = lim_x→0 [(1/x) - (log(1+x)/x²)] take?

Solution:

What is the angle between the radius vector and the tangent for the polar curve r = a(1 + sin θ) at θ = π/2?

Solution:

What is the angle between the radius vector and the tangent for the following polar curve: r²cos(2θ) = a²?

Solution:

The equation of a curve is given by x² **+ 2 * y² = 16**. The curve is revolved around the x-axis.

Find the volume of the solid generated in square units.

Solution:

The value of function f(x) at 5 discrete points are given. Using the trapezoidal rule with a step size of 0.2, the value of the integral ∫ 0 to 0.8 f(x) dx is:

X 0 0.2 0.4 0.6 0.8

f(x) 0 30 50 60 100

Solution:

Related Question Sets:

Related Topics:

Calculus Questions Set 4:

Lim (x→1) { (x^15 - 1) / (x^10 - 1) } = ?

Solution:

What is the value of the integral 0∫π sin5x dx?

Solution:

What is the value of n if the vector field rn •vec(r) is solenoidal?

Solution:

Find 'a' if the 17th and 18th terms in the expansion of (2+a)50 are equal.

Solution:

The standard deviation of a uniformly distributed random variable between 0 and 2 is

Solution:

Which of the following forms does k = limx→0 [(1/x) - (log(1+x)/x2)] take?

Solution:

What is the angle between the radius vector and the tangent for the polar curve r = a(1 + sin θ) at θ = π/2?

Solution:

What is the angle between the radius vector and the tangent for the following polar curve: r2cos(2θ) = a2?

Solution:

The equation of a curve is given by x2 + 2 * y2 = 16. The curve is revolved around the x-axis. Find the volume of the solid generated in square units.

Solution:

The value of function f(x) at 5 discrete points are given. Using the trapezoidal rule with a step size of 0.2, the value of the integral ∫ 0 to 0.8 f(x) dx is: X 0 0.2 0.4 0.6 0.8 f(x) 0 30 50 60 100

Solution:

Related Question Sets:

Related Topics:

What is the value of the integral ₀∫^π sin⁵x dx?

What is the value of n if the vector field rⁿ •vec(r) is solenoidal?

Find 'a' if the 17^th and 18^th terms in the expansion of (2+a)⁵⁰ are equal.

Which of the following forms does k = lim_x→0 [(1/x) - (log(1+x)/x²)] take?

What is the angle between the radius vector and the tangent for the following polar curve: r²cos(2θ) = a²?

The equation of a curve is given by x² **+ 2 * y² = 16**. The curve is revolved around the x-axis.

Find the volume of the solid generated in square units.

The value of function f(x) at 5 discrete points are given. Using the trapezoidal rule with a step size of 0.2, the value of the integral ∫ 0 to 0.8 f(x) dx is:

X 0 0.2 0.4 0.6 0.8

f(x) 0 30 50 60 100