A spider spins a web in the following way: It starts at sea level. It moves up one inch in the first minute. It moves down two inches in the second minute. It moves up three inches in the third minute. It moves down four inches in the fourth minute. Assuming that the pattern continues, what will the spider’s elevation be after an hour has passed?

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

Describe a situation that you could represent with the inequality x< 17

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.