Suppose the geographic areas of California and the US are 1.637 x 10^5 and 3.794 x 10^6 sq. mi, respectively California’s population (as of 2012) is approximately 3.804 x 10^7. If population were proportional to area, what would be the US population?

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Find dy/dx using implicit differentiation ln(20+e^xy)=y

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.