The total surface area for a silo (base with radius r, cylindrical side with height h, hemispherical cap) is a = 3πr2 + 2πrh. suppose h and r are measured to be h = 20 feet and r = 8 feet to within an error of 1 2 foot for h and 1 4 foot for r. use differentials to estimate the maximum possible error for a (in square feet).

Step-by-step explanation:

The total surface area for a silo A = 3πr^2 + 2πrh.

given

base radius r, cylindrical side with height h, hemispherical cap

h=20 ft  r=8 ft

Δh= 1/2 ft and Δr= 1/4 ft

now, diffrentiating we get

dA= 3π×2r×dr+2π(r×dh+Δr×h)

putting values we get

solving the above equation we get

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.