Answer:
-1/21
Step-by-step explanation:
2/3 + -5/7
Get a common denominator of 21
2/3 *7/7 = 14/21
-5/7*3/3 = -15/21
14/21 - 15/21 = -1/21
Answer:
The width which gives the greatest area is 7.5 yd
Step-by-step explanation:
This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen
Answer:
144 hope it helps
Step-by-step explanation:
1) split the range in three identical invervals of size [6 - 0] / 3 = 2
2) form three rectangles
2a) First rectangle: base 2, height f(2) = 2^2 + 1 = 5
area 1 = base * height = 2 * 5 = 10
2b) second rectangle: base 2, height f(2+2) = 4^2 + 1 = 17
area 2 = 2 * 17 = 34
2c) third rectangle: base 2 height f(4+2) = 6^2 + 1 = 37
area 3 = 2*37 = 74
3) total area = area 1 + area 2 + area 3 = 10 + 34 + 74 = 118
