Dec 2, 2017 · The velocity function is v(t) = t2 −4t +3 for a particle moving along a line. Find the displacement (net distance covered) of the particle during the time interval [− 1,6].

Mar 6, 2017 · The absolute value function takes any negative or positive term and transforms it to its positive form. Therefore, we must solve the term within the absolute value function for both …

This agrees algebraically if we are interested in minimizing the residual difference, usually using sum of squared loss function eg #f_beta= (y-xbeta)^2# #fprime_beta=-2x (y-xbeta)=0# …

Explanation: To find the range of this function we need to substitute each value in the Domain for #color (red) (e)# in #f (e)# and calculate the result:

The simplest way of looking at lim_ (x->0^+) 1/x is to graph the function: graph {1/x [-10, 10, -5, 5]} We can see that approaching from above zero, the function rarr oo Hence, we have: oolim_ (x …

"Fermentation" is an anaerobic process that converts sugars to alcohols and acids, with carbon dioxide by-product. "Types" are more a function of the materials fermented than a change of …

Explanation: The inflection point of a function #f (x)# is where the second derivative is equal to zero. We are given #f (x)=x/ (x^2+1)# The first derivative is determined using the quotient rule.

A function is simply an equation that has an input and a related output. Lets say for a second that F (x) = x^2 This is saying that if I put in some number (x) I will get out a new number, F (x) I …

Mar 26, 2018 · There are at least two things implied by the assertion: " f (x) is invertible function ∀x ∈ [1,5] " f (x) is a function with domain including all of the real interval [1,5] For any x1,x2 ∈ …

Recall that (tan^ {-1}x)'=1/ {1+x^2} Let us find the derivative of F (x)=tan^ {-1} (x/sqrt {1+x^2}). (I hope that this is the function you had in mind.) By Chain Rule, F' (x)=1/ {1+ (x/sqrt …