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- lim q-3-7q-6 q----∞ 2q-4 +4q-3 -10q-3evaluate lim squareroot(2(x+h)2-3(x+h)-4 - squareroot(2x2-3x-4) ____________________________________________________ h->0 hA group of athletes were tested for isometric endurance by measuring the length of time they could resist a load pulling on their legs while seated. The approximate amount of time (called the holding time) that they could resist the load was given by the formula t=31,293w^-2.5,where w is the weight of the load in pounds and the holding time t is measured in seconds. a. Determine the holding time for a load of 32lb. b.When the weight of the load doubled, by what factor is the holding time changed?
- find the extreme values (absolute and local) of thefunction over its natural domain, and where they occur. y = 2x2 - 8x + 9the path of a diver is gien by 2y=-x^2+6x+102 where y is the height(in meter) and x is the horizontal distance from the end of the diving board (in meter). calculate the maximum height the diver reachestent line for h(x)=(2x^(2)+8x-5)^(2) at the x-value x=-1.
- solve using limits f(x) = x^2 + 2x - 3, at f(x) = -4The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y = 6x - 27. Find an equation of the line tangent to the graph of y = ƒ1g1x22 at x = 5.I've found the limits, but I'm having trouble finding a and b without the equations zeroing out.
- Find the absolute maximum and minimum of ƒ(x) = 2x - 3x2/3 (a) on the interval [-1, 0.5]; (b) on the interval [0.5, 2].Average Linh has obtained scores of 82, 75, and 71 on hermidterm algebra exams. If the final exam counts twice asmuch as a midterm, what score must she make on her finalexam to get an average score of 80? (Assume that the maximum possible score on each test is 100.)Using Optimization in Derivatives, solve the following question: A farmer wants to have small garden beside his house. No fence needed beside his house. If he has 26 m of fencing materials, what should be the dimension of his garden to have the maximum area?