Calories Burned by Joseph: Mathematics Exercise

What is the model that represents the number of calories Joseph burns per minute after 6 minutes of training?

How many times, in total, did Joseph's smart watch beep during the session?

What does Jessica, the scientist, make a solution of?

In the equation ℎ(𝑥) = −1.14𝑥^2 + 5.2𝑥 − 0.13 = 0, what are the roots?

'What is Joseph's heart-rate at a maximum during the session?' is best answered by solving which equation?

'What is ℎ(6)?' is essential for solving which part of the given information?

What is the value of $g(5)$?

What is the derivative $g'(x)$ of the function $g(x) = x - 7x^2 + x - 12$?

If $g(5) = 6$, what is the equation of the tangent to the curve $y=g(x)$ at $x=5$?

From the given graph, at what value of $x$ is the derivative $u'(x)$ negative?

Estimate the value of $u'(4)$ using the tangent drawn at point (4, 2) on the graph.

Express $1200$ in scientific notation form $a \times 10^n$ where $1 \leq a < 10$.

What is the value of the first term (T) in an arithmetic sequence given by the expression T = -254 + (n - 1)(4)?

What is the common difference in the arithmetic sequence where the nth term is T = -254 + (n - 1)(4)?

For the equation -254 + (n - 1)(4) = 0, what is the smallest value of n that satisfies this equation?

In the arithmetic sequence given by T = -254 + (n - 1)(4), what is the sum of the first n terms if n is a natural number?

Based on the graphs provided for k(x) and m(x), what is the range of values for x where k(x) is less than m(x) for 0 ≤ x ≤ 5?

For 0 ≤ x ≤ 5, what are the two values of x for which m(x) = 0 based on the given graphs?