Tristan bought an orange that weighs 1/5 pound. He cut the orange into 8 slices. How much does each orange slice weigh?
2 answers:
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Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently
Answer:
32 ft²
Step-by-step explanation:
Assuming the diagram attached below similar to the one required to complete the question below.
From the diagram,
Actaul Area of a parallelogram (A) = Actual Base(b)× actual heigth(h)
A = bh.......................... Equation 1
From the question,
If each 6 in on the scale drawing equals 3 feet
Given:
base on the scale drawing = 8 in.
Actual base(b) = (8×3)/6 = 4 feet.
Height on the scale drawing = 16 in
Actual height(h) = (16×3)/6 = 8 feet.
Substitute these values into equation 1
A = 4×8
A = 32 ft²
Hence the actual area of the shape is 32 ft²
