Use a taylor's expansion to rid the expression 1-cos^2 x of subtractive cancellation for x small. use a o(x) approximate.

Identify the converse of the following conditional: if a point is in the first quadrant, then its coordinates are positive. if the coordinates of a point are not positive, then the point is not in the first quadrant. if the coordinates of a point are positive, then the point is in the first quadrant. if a point is in the first quadrant, then its coordinates are positive. if a point is not in the first quadrant, then the coordinates of the point are not positive.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

Acar loses a quarter of its value every year. it is originally worth $35,000. to the nearest dollar, how much will the car be worth in 8 years?