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Find the slope of the graph of the function at the given value. ​ at ​

Find the derivative of the following function using the limiting process. ​

Find an equation to the tangent line for the graph of f at the given point. ​ , ​

A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. Consider the triangle formed by the side of the house, the ladder, and the ground. Find the rate at which the area of the triangle is changed when the base of the ladder is 11 feet from the wall. Round your answer to two decimal places. ​ ​

Find the slope of the tangent line  at the given point . Round your answer to two decimal places. ​

What is the name of this mineral?

Minerals, like this one, that exhibit one perfect plane of cleavage are typically referred to as _____________?  

Is this metamorphic rock foliated?

In your own words, describe how to test the streak color of a mineral.

What type of fracture does this sample exhibit?