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 …
calculus
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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 …