The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a 2 sample culture has an initial area of 64.6 mm´ and an observed doubling time of 4 minutes. (a) Let t be the time (in minutes) passed, and let y be the area of the sample at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. (4)t y = 64.6e (b) What will the area of the sample be in 18 minutes? Do not round any intermediate computations, and round your answer to the nearest tenth. mm
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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