File Edit ne View History Bookmarks People Window Help 40% Thu Sep 26 10:32 PM M Activity Digest sir X p MATH 102 ALL (1x E Target Reading 3 X Watch Euphoria X UBC OSH2 Desmos Graphi x X UBC LFS-100-LEAP-X X G first principles -x canvas.ubc.ca/courses/44898/assignments/353927 網頁快訊圖庫 Imported From IE Math ESL English as a... CHEMISTRY LIFE.. E Money Spent TV UBC whO0p XD Question 1: Foraging Bears search for berries that grow in patches that can be spread out across a large area. A bear will spend time in one patch gathering food before moving to another patch. The number of berries collected in a patch depends on the amount of time spent in the patch: B(t) = Awhere B(t) is the number of berries collected at the end of t hours k+tn spent in the patch. The constants A and k are positive, and n is a positive constant. The values of A, n, and k vary for different bears and different patches. 1a. Suppose a particular patch has 1,000 berries, and it takes the bear one hour to collect 500 berries. Which of the constants (A. k. and n) can you determine from this information, and what are they? Explain how you got your answer. 1b. Suppose a particular bear likes to settle into a berry patch before it really starts eating. So, when it first reaches a 0), its rate of berry finding is approximately zero. What does this tell you about the value of n? patch (when t = 1 for arbitrary A and k. (Your answer should depend 1c. Using the definition of the derivative, calculate whenn dt on the unspecified constants A and k, as well as the variable t.) 1d. For what values of t is the derivative you calculated positive? negative? What happens to this derivative as time goes to infinity? What do these tell you about the bear's foraging? 1e. Relate the difficulty of finding berries to the derivative of B(t). That is, what kinds of derivatives tell you it's tough to find berries, and what kinds of derivatives tell you it's easy? WOPX SEP 26
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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