Net area from graphs The accompanying figure shows four regions bounded by the graph of y = x sin x: R 1 , R 2 , R 3 , and R 4 , whose areas are 1, π − 1 , π + 1, and 2 π − 1, respectively. (We verify these results later in the text.) Use this information to evaluate the following integrals. 39. ∫ 0 2 π x sin x d x
Net area from graphs The accompanying figure shows four regions bounded by the graph of y = x sin x: R 1 , R 2 , R 3 , and R 4 , whose areas are 1, π − 1 , π + 1, and 2 π − 1, respectively. (We verify these results later in the text.) Use this information to evaluate the following integrals. 39. ∫ 0 2 π x sin x d x
Net area from graphsThe accompanying figure shows four regions bounded by the graph of y = x sin x: R1, R2, R3, and R4, whose areas are 1, π − 1, π + 1, and 2π − 1, respectively. (We verify these results later in the text.) Use this information to evaluate the following integrals.
3- Simplify the following equation:
f(4, B,C,D) = E(0,3,4,6,10,11,14,15)
dm(2,7,8,12) where dm is denoted for don't care.
Moon effect. Some people believe that the Moon controls their activities. If the Moon moves from being directly on the opposite side of
Earth from you to being directly overhead, by what percentage does (a) the Moon's gravitational pull on you increase and (b) your
weight (as measured on a scale) decrease? Assume that the Earth-Moon (center-to-center) distance is 3.82 x 10° m, Earth's radius is
6.37 x 106 m, Moon's mass is 7.36 x 1022 kg, and Earth's mass is 5.98 x 1024 kg.
(a) Number
6.89
Units
percent
(b) Number
i
6.8713e-4
Units
percent
The Harris-Benedict equation estimates the number of calories your body needs to maintain your weight if you do no exercise. This is called your basal metabolic rate, or BMR.
The calories needed for a woman to maintain her weight is:
WBMR = 655 + (4.3 × weight in pounds) + (4.7 × height in inches) − (4.7× age in years)
The calories needed for a man to maintain his weight is:
MBMR = 66 + (6.3 × weight in pounds) + (12.9 × height in inches) − (6.8 × age in years)
A typical chocolate bar will contain around 230 calories.
Write a java program that allows the user to input his or her weight in pounds, height in inches, and age in years. The program should then output the number of chocolate bars that should be consumed to maintain one’s weight for both a woman and a man of the input weight, height, and age.
NOTE: This is an application of a selection statement!
Input Data:
Use a named constant for the number of calories in a “typical chocolate bar.”
Use Scanner methods to enter the…
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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Numerical Integration Introduction l Trapezoidal Rule Simpson's 1/3 Rule l Simpson's 3/8 l GATE 2021; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=zadUB3NwFtQ;License: Standard YouTube License, CC-BY