UpThink Interview Questions and Answers for Freshers

Continuity refers to the smoothness of a function while differentiability refers to the existence of a derivative at a point.

• A function is continuous at a point if the limit of the function at that point exists and is equal to the value of the function at that point.

• A function is differentiable at a point if the derivative of the function exists at that point.

• A function can be continuous but not differentiable, such as...read more

To find the angle between two intersecting lines, use the formula: angle = arctan((m2-m1)/(1+m1*m2))

• Identify the slopes of the two lines (m1 and m2)

• Use the formula: angle = arctan((m2-m1)/(1+m1*m2))

• Convert the angle from radians to degrees if necessary

To find the angle between two vectors, use the dot product formula.

• Calculate the dot product of the two vectors.

• Find the magnitude of each vector.

• Use the formula: cos(theta) = (A dot B) / (|A| * |B|)

• Solve for theta by taking the inverse cosine of both sides.

• The resulting angle is in radians, convert to degrees if necessary.

Cos x can be written in terms of Sine using the identity Cos x = Sin (90 - x)

• Use the identity Cos x = Sin (90 - x)

• Substitute x with the given angle in degrees or radians

• Simplify the expression if possible