## Determine the value of k that will make f(x) continuous everywhere.

Let Step By Step Solution: The given piecewise-defined function is: Notice that, is not defined at x=4.But, is defined at …

## A population is modeled by the differential equation……

For what values of P is the population increasing ? STEP BY STEP SOLUTION: Let be a function We know …

## A population is modeled by the differential equation

step by step solution: Let the function be We know that for a increasing function, First derivative of a function …

## Find the limit

step by step solution The given function is Notice that as x approaches 0 from the left, the function is: …

## Find the integration of:

step by step solution: Recall the Double-Angle Identity: For an angle x , the double-angle identity for sine is: Using this …

## Evaluate the integral

Step By Step Solution: The given integral is: Factor the term as: Let u=3x by Differentials, it follows that, du=3dx …

## The base of a triangle is decreasing at a rate of 13 millimeters per minute.

Step-by-step solution-: The area of a triangle is given by: Where b is the base of a triangle and h …

## Find The rate at which the observer’s head is tilting when the angle of inclination is 60 degree:

Step-by-step solution-: The Given that: The Average Speed is: Recall The Chain Rule: Let be y : Substitute the into …

## Find the arc length for y=x^2+x.

Step-by-step solution-: The arc length of function y=f(x) from a< x< b, is given by: Evaluate the first derivative: Hence, …

## Find the value of k for which the function is continuous everywhere:

Find the value of k for which the function is continuous everywhere. Step-by-step solution-: The given function is: The given …