Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217

Step-by-step explanation:

Given

Required

Solve

Linear approximated as:

Take:

So:

Substitute 216 for x

So, we have:

To calculate f'(x);

We have:

Rewrite as:

Differentiate

Split

Substitute 216 for x

So:

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step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).