Expand: (x-1)^3
Given expression: (x – 1)3Using the algebraic identity: (a – b)3 = a3 – b3 – 3ab(a – b)(x –... View Article
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How to calculate the percentage of marks?
Percentage of marks can be calculated using the below formula: Percentage of marks = (Obtained marks/Maximum marks) × 100 Two... View Article
Is 343 a prime number?
No, 343 is not a prime number. Reason: The number 343 has more than two factors, i.e. it has factors... View Article
How to calculate the percentage using a formula?
Percentage formula = (value/total value) × 100We can find the p% of a number M as:p% of M = (p/100)... View Article
How to find simple interest?
Simple interest can be calculated using the formula, SI =PTR/100 Here, SI = Simple interest P = Principal amount T... View Article
What is the derivative of cos^2x?
Let y = cos2xDifferentiating on both sides, w.r.t x, we get;dy/dx = d/dx (cos2x)= (d/dx) (cos x)2= 2 cos x... View Article
Find the prime factorization of 5929.
Prime factorization of 5929 = 7 x 7 x 11 x 11
How do students learn to visualize function transformations?
Visualization refers to the graphical representation of any function. It is helpful in understanding the nature of the given function... View Article
Which is more dangerous type 1 or type 2 error in statistics?
When we move forward with any hypothesis to test it with statistical analysis, we begin with the assumption that the... View Article
At what distance from a convex mirror of focal length 2.5 m should a small object be kept so that its image has height of half of original height of object?
At what distance from a convex mirror of focal length 2.5 m should a small object be kept so that... View Article
Give 5 examples of data that you can collect from day to day life and represent them in tabular form.
Give 5 examples of data that you can collect from day to day life and represent them in tabular form.... View Article
A body cools from 5t to 2t in 5 minutes. The room temperature is t. Assume that Newton’s law of cooling is applicable. The temperature of the body at the end of next 5 minutes will be
A body cools from 5t to 2t in 5 minutes. The room temperature is t. Assume that Newton’s law of... View Article
A domain in ferromagnetic iron is in the form of a cube of side length 1
A domain in ferromagnetic iron is in the form of a cube of side length 1μm. Estimate the number of... View Article
A particle of mass 200 g executes shm. The restoring force is provided by spring of spring constant 80 nm^–1. What is the magnitude of acceleration when mass is 2 cm away from equilibrium position?
A particle of mass 200 g executes shm. The restoring force is provided by spring of spring constant 80 nm^–1.... View Article
A man is crossing a river of width 60 m flowing with a velocity of 5 m/s. He reaches a point b from point a as shown in figure in 5 sec. His velocity in still water should be
(a) 13 m/s (b) 12 m/s (c) 5 m/s (d) 10 m/s Answer: The correct answer is (a) 13 m/s... View Article
A 20f capacitor is charged to 5V
A 20F capacitor is charged to 5V and isolated. It is then connected in parallel to an uncharged capacitor of... View Article
The velocity of the centre of a smaller cylinder is v. There is no slipping anywhere. The velocity of the centre of larger cylinder is
The velocity of the centre of a smaller cylinder is v. There is no slipping anywhere. The velocity of the... View Article
The total energy of the electron in the first excited state of hydrogen is `-3.4 ev.` What is the kinetic energy?
The total energy of the electron in the first excited state of hydrogen is `-3.4 ev.` What is the kinetic... View Article
Select the following best experimental setup for placing the part of the ray of light passing through a
Select the from following best experimental setup for tracing the part of the ray of light passing through a rectangular... View Article
If the rotational speed of earth is increased then weight of a body at the equator
If the rotational speed of earth is increased then weight of a body at the equator (a) increases (b) decreases... View Article
