Calculus Can Be Used to Find the Slope of the Line

question 230

Multiple Choice

Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve $y = f ( x ) \text { at } x = a$ is f'(a) . Use f'(x) to find the slope of the tangent to $y = f ( x )$ at the given value of x.
-The derivative of a function can be used to find the slope of the line tangent to its graph. If the slope of the line tangent to the graph of $f ( x ) = x ^ { 2 } + x$ at $( 5,30 )$ is 11 , write the equation of this tangent line.

• A) \(y = - 11 x + 85\)
• B) \(y = 11 x - 25\)
• C) \(y = 11 x + 25\)
• D) \(y = - 11 x - 85\)

Comprehend the phenomena related to atomic emission and absorption spectra.

Understand the distinction between line spectra and continuous spectra.

Relate the energy levels of electrons in atoms to spectral lines.

Understand environmental indicators and historical records of chemical compounds.

---

Definitions:

Rice

A staple food grain known scientifically as Oryza sativa (Asian rice) or Oryza glaberrima (African rice), cultivated in a variety of environments.

Neolithic Period

A phase in human history marked by the development of agriculture and permanent settlements, leading to significant cultural and technological advancements.

Dwellings Materials

The various substances or goods used in the construction and maintenance of homes and buildings.

Iron

A chemical element with the symbol Fe, known for its strength and used extensively in construction and manufacturing.