Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 sin(x) + 5 cos(x), 0 ≤ x ≤ 2π (a) find the interval on which f is increasing. (enter your answer using interval notation.)

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.

Which is the equation of a line perpendicular to the line with the equation 3x+4y=8