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Please help with answering these math questions. The answer MUST be one of the multiple choices Please take your time, the final answer must be
Please help with answering these math questions. The answer MUST be one of the multiple choices Please take your time, the final answer must be correct. I really need help in getting these problems right, thank you!
Question 1(Multiple Choice Worth 5 points) I- (07.01) The temperature of a cup of coffee varies according to Newton's Law of Cooling: % = k( T A), where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100C to 90C in 1 minute at a room temperature of 25C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes. 074 067 Question 7(Multiple Choice Worth 5 points) (07.01) The slope of the tangent to a curve at any point (x, y) on the curve is ;:' Find the equation of the curve if the point (3. 4) is on the curve. Ox+y=1 Ox2+y2= Ox2+y2=25 Ox2-y2=-7 Question 9(Multiple Choice Worth 5 points) (07.02) The differential equation dy _ y-2 dx y + 1 I. produces a slope field with horizontal tangents at y = 2 Il. produces a slope field with vertical tangents at y = -1 Ill. produces a slope field with columns of parallel segments O I only O II only O I and II O Ill onlyQuestion 10 (Matching Worth 5 points) 153 (07.03) Given fix) > 0 with f '(x) > 0, and f"(x) > 0 for all x in the interval [0, 3] with f(0) = 0.1 and f(3) = 1. the left. right, trapezoidal. and midpoint 3 rule approximations were used to estimate f(x)dx . The estimates were 0.8067, 0.9635, 1.0514, 1.0753 and 1.3439, and the same number of subintervals were used in each case. Match the rule to its estimate. Match Term Definition left endpoint A) 0.806? right endpoint B) 1.0514 midpoint C) 1.3439 trapezoidal D) 1.0753 actual area E) 0.9635Step by Step Solution
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