3.4.2 Assume that Y, the number of minutes it takes you to eat lunch on an average day, is equally likely to lie in the interval from 30 to 40 minutes. Compute My (t).

Q: 1. The value of a baseball card, V (in $) changes over time, t (in yrs) according to this function V…

A: Topic:- function

Q: The life expectancy E of a main-sequence star depends on its mass M. The relation is given by the…

A: Given formula for the life expectancy E in terms of mass M is  E = M^(-2.5) Here, the value E = 1…

Q: The value, V, of a Van Gogh painting increases with time according to the following relation, V =…

A: Solution :  Given that   V = 84000(1.173)t    where t is the number of years since 1947

Q: The magazine Scientific American released a study of data analysis on how quickly children are able…

A: The function P(t) represents the percentage of children who can speak in at least single words by…

Q: 7.5) A car, initially at rest, begins moving at time t = 0 with a constant acceleration down a…

A:

Q: The life expectancy E of a main-sequence star depends on its mass M. The relation is given by the…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Suppose the equation below models the height h(t) of a distress flare signal at time t seconds.…

A:

Q: .

A: Step 1Let T(w) be the time taken for the plane to travel 800km with the wind speed w.With the wind =…

Q: 8. A rocket is fired into the air with an initial velocity of 98 m/s. The height (h) of the rocket…

A: The height of the rocket after t seconds is given by the expression h=98t-4.9t2

Q: Use a linear approximation to estimate the number (7.47)2/3. If you choose to enter your final…

A: Given number,   (7.47)2/3

Q: Two cars approach an intersection at right angles, one traveling north at 60 km/h and the other…

A: We have to find the rate at which distance between the cars is changing.

Q: Let f(z) be the height of a maple tree in inches and z the number of years since 2000. A Hnear model…

A: f(x)=9.44x+84.182 A) The estimate height of the tree at 2016 will be…

Q: Determine if the function f(x) = x* + 2x* is even, odd or neither?

A:

Q: Find P (t > 1.318) when v = 24.

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.