Answer:
Width=37in
Length=55in
Step-by-step explanation:
Let x in be the width dimension, the length dimension will be x+18 in. Area of a rectangle is calculated as A=lw. Given the area as2143 sq in, x can be calculated as:
#Substitute for every x in our function to find the true value of x:
#l=37+18=55in
for x=38:
#l=38+18=56in
For x=39:
#l=39+1854in
From the calculations above, A television with a width of 37 in and length 55in has its area closest to 2143 sq in.
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
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b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
