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andrew11 [14]
3 years ago
15

Just part c please thanks

Mathematics
1 answer:
Dovator [93]3 years ago
8 0
Unfortunately the portion of the graph shown does not show the locations of points A and B, nor does it show sufficient parts of the curve.

Fortunately, to do part C, it is not necessary to use the graph of the function, nor the locations of points A & B, since we know that t=-1 at A.

The solution is as follows:
We know that the tangent line has the equation
l : 2x -5y -9 = 0 ...................(1)
and that the parametric equation is
x = t^3 -8t;  y = t^2 ..............(2)

We can obtain the intersections of the tangent line (1) with the original curve (2) by substituting (2) in (1), giving
f(t) = 2*(t^3-8*t) -5*(t^2)-9 = 0
or on simplification,
f(t) = 2t^3 -5t^2 -16t -9 = 0 ....................(3) parametric equation of intersection points
Solution of which gives t=9/2 or t=-1.

Since t=-1 is the given tangent point, we conclude that t=9/2 is point B.

Translating into rectangular coordinates for t=9/2, we get
x=t^3-8t=(9/2)^3-8(9/2)= 441/8 = 55.125
y=t^2=(9/2)^2= 81/4 = 20.25

Therefore the coordinates of B:
t=9/2, or (55.125, 20.25)

Attached is the graphics of f(t), showing that t=-1 is a tangent line, and that the solutions are t=-1, or t=9/2.

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Using scientific notation, it is found that:

67 ns = 6.7 \times 10^{-8}s

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

a \times 10^b

With the base being a \in [1, 10).

In this problem, the amount is of 67 ns.

Each ns has 10^{-9} seconds, hence:

67ns = 67 \times 10^{-9}s

We want the base between 1 and 10(exclusive), hence, we move the decimal digit one digit to the left and add one to the exponent, and the representation is:

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7 0
2 years ago
In Yellowstone National Park there are 300 species of birds that migrate. This accounts for 2/7 of all the species of birds sigh
Juli2301 [7.4K]

Answer:

\frac{2}{7} x = 300

Step-by-step explanation:

Let x = the number of all the species of birds sighted in the park

“300 species of birds that migrate. This accounts for 2/7 of all the species of birds sighted in the park”

the above sentence means “(2/7)x = 300”

now we can solve it :

(2/7)x = 300

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Answer/Step-by-step explanation:

1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)

2. The lines that created <FRT (lines FR & TR) are secants

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3 years ago
Describe the error in the work shown.
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Answer:

should be xy^4/4

Step-by-step explanation:

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6 0
2 years ago
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