Given the equation y ln(x^2 + y^4 + 5) = 8, evaluate dy/dx. Assume that the equation implicitly defines y as a differentiable function of x. Choose the correct answer below. dy/dx = -2yx/(x^2 + y^4 + 5) ln (x^2 + y^4 + 5) + 4y^4 dy/dx = 8y ln (x^2 + y^4 + 5)/8(x^2 + y^4 + 5) + 4y^5 dy/dx = -x/2y^3 dy/dx = -2xy^2 - 4y^5/8 ln (x^2 + y^4 + 5)

An electronics manufacturer wants to know if customers would be interested in a detachable keyboard for their tables and if so, what the most important features would be. the manufacturer partners with an electronics store to include copies of the survey with every purchase at that store for one week. which of the following best explains why this random sample is unlikely to be a good representative sample of tablet owners' preferences for a detachable keyboard? a) one week is likely not enough time to get a large enough sample. b) most people won't bother to send in the survey, which is likely to skew the results c) there is no way to verify whether the responders to the survey actually own a tablet d) the survey is biased because it was conducted through an electronics store, not the general population

The amount of money, in dollars, in an account after t years is given by a = 1000(1.03)^t. the initial deposit into the account was $_^a0 and the interest rate was _a1% per year. only enter numbers in the boxes. do not include any commas or decimal points^t. the initial deposit into the account was $__^a0 and the interest rate is % per year.

The only way to identify an intercept is as an ordered pair. true false