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DIFFERENTIAL EQUATIONS-NEXTGEN WILEYPLUS
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- Problem 3 When a red blood cell is pumped it moves a distance s (in millimetres), in a given time, t, (in seconds) described by the following equation: s = 0.005t2 + vot In this equation, vo is the initial velocity, in mm s-1. Distance is measured in millimetres and time is measured in seconds. Use the equation to find how long it takes a red blood cell to travel a distance of 1000 mm. The cell had an initial velocity of 4 mm s1. -btV62 -4ac x = 2a (quadratic formula) To use the quadratic formula, the equation needs to be in form at? + bt +carrow_forwardPlease clearly show all steps. Thank you.arrow_forwardA bank saving account with a fixed interest rate is modeled using the following difference equation: y[n]- y[n- 1]-rx y[n– 1]= x[n] where r is the interest rate per month. A person opens a new saving account and deposits $1,500 to his/her saving account in the first day (i.e., x[0]=$1,500) and do not deposit any more money after that. If we assume that the interest rate is 0.5%, show that the amount of money in the account at the 3rd month (n=3) is approximately $1,522.61.arrow_forward
- Suppose we have two 1 metre long rods. Each rod has a temperature of 0° on its left end with the temperature increasing linearly to 10° at its right end. The rods are placed end-to-end so that the left end of one rod touches the right end of the other rod, thus giving us (effectively) a 2 metre long rod with a discontinuous starting temperature. Question 2: Let f(x) be the (instantaneous) temperature of the joined rod immediately when the two smaller rods are joined. (So 0 < x < 2). f(x) will be a piece-wise function. What is this function? ( something | somethingelse if some other condition is met if some condition is met Note: piece-wise functions look like f(x) =arrow_forwardWilliam is staying in a cottage along a beautiful and straight shoreline. A point on the shoreline is located 3 kilometers east of the cottage, and an island is located 2 kilometers north of Q (see image below). William plans to travel from the cottage to the island by some combination of walking and swimming. He can start to swim at any point P between the cottage and the point Q. If he walks at a rate of 7 km/hr and swims at a rate of 5 km/hr, what is the minimum possible time it will take William to reach the island? Enter an exact answer or round to the nearest hundredth of an hour. Cottage Shoreline 3 km Provide your answer below: hours Island Water 2 kmarrow_forwardA truck plans to drive from a town in state A, to a town in state B. she will drive 84 miles in state A, then 36 miles in state B. The speed limit trucks is 75mph in state A and 65mph in state B complete parts a through d a. let t(a) be the driving time (in hours)if the trucker drives a mph above the speed limits. find an equation of T T(a)= b. Find t(0) and t(12) what do they mean in this situation t(0)= and t(12)= c. find t(0)-t(12) what does it mean in this situation? t(0)- t(12)= d. Find a when t(a)=1.6 what does it mean in this situation a=arrow_forward
- Solve for xarrow_forwardShow solution.arrow_forwardThe temperature of a cup of coffee obeys Newton’s law of cooling. The initial temperature of the coffee is 200◦F and one minute later, it is 180◦F. The ambient temperature of the room is 66◦F.(a) If T(t) represents the temperature of the coffee at time t, write the initial value problem that represents this scenario.(b) Solve this IVP and find the predicted temperature of the coffee after 14 minutes.arrow_forward
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