Integral Calculus and Differential Equations Test

Result

Integral Calculus and Differential Equations Test - 8

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
2 / -0.83

Consider the function y = | x | in the interval [-1, 1], In this interval, the function is

A
Continuous and differentiable

B
Continuous but not differentiable

C
Differentiable but not continuous

D
Neither continuous nor differentiable

Solution

The function y = | x | in the interval [-1, 1 ] is

| x | is continuous and differentiable every where except at x = 0, where it is continuous but not differentiable.
Since [-1, 1] contains 0, in this interval it is continuous but not differentiable.
Question 2
2 / -0.83

A
1

B
-1

C
∝

D
-∝

Solution
Question 3
2 / -0.83

What is the value of

A
0

B
e^-2

C
e^-1/2

D
1

Solution
Question 4
2 / -0.83

Which one of the following functions is continuous at x = 3?

A

B

C

D

Solution
Question 5
2 / -0.83

is

A
∝

B
0

C
1

D
Not defined

Solution
Question 6
2 / -0.83

Evaluate the limit

A
π

B
1/π

C
2/π

D
π/e

Solution
Question 7
2 / -0.83

The maximum value of

A

B

C
2⁰

D
2¹

Solution

to find the maximum it is enough to consider for [ ]
Question 8
2 / -0.83

A polynomial p(x) is such that p(0) = 5, p(1) = 4, p(2) = 9 and p(3) = 20. The minimum degree it can have is

A
1

B
2

C
3

D
4

Solution

Let, P(x) is of degree 1

Subtract
Question 9
2 / -0.83

The formula

A
Simpson ’s formula

B
Gauss-Hermit formula

C
Gauss-Laguerre formula

D
Gauss-Chebyshev formula

Solution

This is Gauss-Chebyshev formula.
Question 10
2 / -0.83

Which of the methods is used for finding solutions of differential equations?

A
Gauss-Jacobi method

B
Gauss-Hermite method

C
Euler method

D
None of the above

Solution

Euler method is used for solution of differential equation.