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Hi please answer the following and circle the answer. I have provided links that shows how to do the problem. Thank You!!! 1. https://www.youtube.com/watch?v=qUaavfKaWc8 1

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Hi please answer the following and circle the answer.

I have provided links that shows how to do the problem. Thank You!!!

1. https://www.youtube.com/watch?v=qUaavfKaWc8

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed
1 Letf(:n) = for4m5. CC Part a) Use four approximating rectangles and right endpoints to estimate the area under f. (If necessary, round to four decimal places.) R4: Part b) Is your estimate from Part a) an underestimate (a.k.a. lower estimate) or an overestimate (a.k.a. upper estimate)? 0 lower estimate (i .e. underestimate) O upper estimate (i.e. overestimate) Part c) Now use four approximating rectangles and left endpoints to estimate the area under f. (If necessary, round to four decimal places.) L4: Part d) Is your estimate from Part c) an underestimate (a.k.a. lower estimate) or an overestimate (a.k.a. upper estimate)? O lower estimate (i .e. underestimate) 0 upper estimate (i.e. overestimate) A car is stopped at a traffic light. When the light turns green, the car accelerates to a speed of 90 km/hr over a time period of 45 seconds. Here is the velocity graph for the car. 90 60 (I5, 45) | 30 45 t (sec) Since the velocity v(t) is increasing, the left endpoint approximations will give the lower estimate (i.e. underestimate) for the distance travelled, and the right endpoint approximations will give the upper estimate (Le. overestimate). Use three rectangles to find the lower estimate and the upper estimate for the distance traveled (in km) over the 45-second time period. (If necessary round to four decimal places.) The lower estimate is km. The upper estimate is km. Water flows from the bottom of a storage tank at a rate of r(t) gallons per minute. Over a 30-minute period, the rate 1r(t) is decreasing. The table below gives the rate at 5-minute intervals. -iI---" W) (gal'min) mm" Since the rate t) is decreasing, the left endpoint approximations will give the upper estimate (i.e. overestimate) for the volume of water (in gallons) that leaked from the storage tank, and the right endpoint approximations will give the lower estimate (i.e. underesti mate). Next Use the table to find the lower estimate and the upper estimate for the volume of water that flowed from the tank during the 30- minute time period. The lower estimate is gallons. The upper estimate is gallons. During an Indy 500 race, a Formula 1 car records the speedometer readings at 10-second intervals. The following table is the data collected from the race car during 1-minute time period. 'I -"I-I IE] m) (mum "ma-- Part a) Using the velocities at the beginning of each 10-second time interval, estimate the distance (in miles) the race car traveled during the 1-minute time period. (If necessary, round to four decimal places.) mi Part b) Using the velocities at the end of each 10-second time interval, estimate the distance (in miles) the race car traveled during the 1-minute time period. (If necessary, round to four decimal places.) mi Part b) Are your estimates from Part a) and Part b) lower or upper estimates? 0 Since the velocity is increasing over the 1-minute time period, the left-endpoint approximation in Part a) is a lower estimate and the right-endpoint approximation in Part b) is an upper estimate. O Since the velocity is decreasing over the 1-minute time period, the left-endpoint approximation in Part a) is an upper estimate and the right-endpoint approximation in Part b) is a lower estimate. O Since the velocity is neither increasing nor decreasing over the 1-minute time period, we cannot determine whether our estimates are lower or upper estimates

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