What are the phase shift and period for the function y = 3cos[4(θ + 45°)] − 4? phase shift = right 45°, period = 180° phase shift = right 45°, period = −180° phase shift = left 45°, period = 45° phase shift = left 45°, period = 90°

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.

Line u passes through points (-52, -18) and (-29, 53). line v passes through points (90, 33) and (19, 56). are line u and line v parallel or perpendicular?

When a valve is open 281 gallons of water go through it in one hour the number of gallons that would go through in 94 hours is