WebOct 3, 2024 · Specify the constant c so that the function $f (x)$ is continually continuous. Function $f (x)$ is defined as follows: $f (x)= {-x^2+c , x \le 8}$ and $f (x)= {x-7c, x \ge 8}$ like this is solved: $f (x)= {b*x-9 , x \le 3}$ --> 3*b-9 and $f (x)= {x^2-3, x \ge 3}$ --> $3^3-3=6$ and then $3*b-9=6$ so b is 5 How can i solve upper like this? limits WebThe probability density function (" p.d.f. ") of a continuous random variable X with support S is an integrable function f ( x) satisfying the following: f ( x) is positive everywhere in the support S, that is, f ( x) > 0, for all x in S. The area under the curve f ( x) in the support S is 1, that is: ∫ S f ( x) d x = 1.
[College Calculus 1] determine c and d so that f(x) is …
WebJan 9, 2024 · c=-1, and, d=10. Let us name the Intervals x<1" as "I_1, 1lexlt2" as "I_2," and, "xge2" as "I_3. On these Intervals f is defined as polynomials, which, we know, are continuous on these intervals. So, if f has to be made continuous over the whole of … WebOct 6, 2024 · A continuous function is a function that has no gaps. You could draw it without picking up your pencil. The pertinent points are at the boundaries with x = 1 and x = 2. samsung soundbar remote control app
Determine the value of c so that f(x) is continuous on the entire …
WebMar 9, 2024 · The probability density function (pdf), denoted \(f\), of a continuous random variable \(X\) satisfies the following: \(f(x) \geq 0\), for all \(x\in\mathbb{R}\) ... Graph of pdf for \(X\), \(f(x)\) So, if we wish to calculate the probability that a person waits less than 30 seconds (or 0.5 minutes) for the elevator to arrive, then we calculate ... WebI want to make sure I did this problem correctly; Is there some way to check if the function is continuous when c = 5/2, so I know that I am right? Stack Exchange Network Stack … WebThis example illustrated the tabular and graphical forms of a p.m.f. Now let's take a look at an example of a p.m.f. in functional form. Example 7-5 Let f ( x) = c x 2 for x = 1, 2, 3. Determine the constant c so that the function f ( x) satisfies the conditions of being a probability mass function. Answer samsung soundbar price philippines