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alexira [117]
3 years ago
9

The height of a coconut falling from a tree can be represented by the function h(t)=-16t^2 + 24, where h(t) is the height of the

coconut, in feet, and t is time, in seconds.
What is the initial height, in feet, of the coconut?
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0
The coconut is falling from 24 feet
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Fatima is shading this model to show 0.08x3 . shade the correct amount of boxes that will show the product
Karo-lina-s [1.5K]
Shade 0.08 3 times

In total that's 24 hundreths to shade


For more help, please upload a picture

Hope this helps!!
7 0
3 years ago
Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
RUDIKE [14]

The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Given a function f(x)=9/x,a=-4.

We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.

The taylor series of a function f(x)=f(a)+f^{1}(a)(x-a)/1!+ f^{11}(a)(x-a)^{2} /2! +f^{111}(a)(x-a)a^{3}/3!+..........

Where the terms in f prime f^{1}(a) represent the derivatives of x valued at a.

For the given function.f(x)=8/x and a=-4.

So,f(a)=f(-4)=8/(-4)=-2.

f^{1}(a)=f^{1}(-4)=-8/(-4)^{2}

=-8/16

=-1/2

The series of f(x) is as under:

f(x)=f(-4)+f^{1}(-4)(x+4)/1!+  f^{11}(-4)(x+4)^{2}/2!.............

=8/(-4)-8/(-4)^{2} (-4)(x+4)/1!+  24/(-4)^{3} (-4)(x+4)^{2}/2!.............

=-2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Learn more about taylor series at brainly.com/question/23334489

#SPJ4

3 0
1 year ago
The graph of the function f(x) = -(x+3)(x - 1) is shown below. What is true about the domain and range of the function? у The do
Nataly_w [17]

Answer:

The domain will be all real numbers, range will be all real numbers below -3

Step-by-step explanation:

its quadratic so it goes forever left and right. but the vertex has a y value of -3. It is a negative sloped graph, so anything below that is in the range

5 0
3 years ago
Consider the following system of two linear equations:
harkovskaia [24]

Hello,

Answer:

The last graph (2;3)

Step-by-step explanation:

2x + 3y = 12

2x – 3y = 0

2x + 3y = 12

2x = 3y

3y + 3y = 12 ⇔ 6y = 12 ⇔ y = 12/6 = 2

2x + 3 × 2 = 12 ⇔ 2x + 6 = 12 ⇔ 2x = 6 ⇔ x = 6/2 = 3

4 0
1 year ago
The perimeter of a rectangular field is 364 yards. If the width of the field is 84 yards, what is its length?
elena55 [62]

The perimeter of a rectangular field is 364 yards. If the width of the field is 84 yards, what is its length?


(364 : 2) - 84 =

182 - 84 =

98



3 0
3 years ago
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