Let a and b, respectively, be the absolute minimum and maximum values of the function f(x1,)=x21+x22++x2n within the region x21+2x22+3x23++nx2n≤1. let c be the absolute minimum value of f(x1,) on just the boundary of the region. what is a + b + c ?

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

6 and 24

step-by-step explanation:

6 x 4 = 24

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west