Consider the mountain known as mount wolf, whose surface can be described by the parametrization r(u, v) = u, v, 7565 − 0.02u2 − 0.03v2 with u2 + v2 ≤ 10,000, where distance is measured in meters. the air pressure p(x, y, z) in the neighborhood of mount wolf is given by p(x, y, z) = 35e(−7x2 + 4y2 + 2z). then the composition q(u, v) = (p ∘ r)(u, v) gives the pressure on the surface of the mountain in terms of the u and v cartesian coordinates. (a) use the chain rule to compute the derivatives. (round your answers to two decimal places.)

Step-by-step explanation:

If G is a function of s, and s is a function of z, then the composition function is :

This is a function of a function. So we apply the chain rule to different the outer function multiply by the derivative of the inner function.

We take the first derivative to obtain:

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without

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step-by-step explanation:

answer