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MIT 18.01 Single Variable Calculus (OCW)
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any one understands GPS problem? The planet Quirk is flat. GPS satellites hover over Quirk at an altitude of 20, 000 km (unlike Earth where the satellites circle twice a day). See how accurately you can estimate the distance L from the point directly below the satellite to a point on the planet surface knowing the distance h from the satellite to the point on the surface in two cases. (The letter h is for hypotenuse.) a) Use a calculator to compute ΔL/Δh for h = h0±Δh = 25, 000±Δh, and Δh =1, 10−1, 10−2. Write an estimate for L in the form |L − L0| = |ΔL|≤ C|Δh| choosing the simp
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