Answer:
35
Step-by-step explanation:
The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
Answer:
4 pack priced at £2.04 is the better pack
Step-by-step explanation:
2.04/4=£0.51 per roll
4.68/9=£0.52 per roll
Answer:
5 cm
Step-by-step explanation:
the perimeter of a square with sides of 9 cm is 36 cm so the rectangle must have the same perimeter
if the length of the rectangle is 13cm, its opposite side is also 13cm
add 13 + 13 to get 26
let 'n' = width of rectangle
perimeter = 26 + n + n
36 = 26 + 2n
2n = 10
n = 5
Upon slight rearrangement...
54xy+18y+45x+15 now factor 1st and 2nd pair of terms
18y(3x+1)+15(3x+1) which is equal to
(18y+15)(3x+1) and you can further factor the first binomial factor
3(6y+5)(3x+1)
