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notka56 [123]
3 years ago
14

3.) The height of the baseball can be modeled by the function Hs= -16s2+96s where s represents the time in seconds the ball is i

n the air after it is hit.
a) Write the function in factored form. _____________________

b) The factors from your answer in question 3a reveal something important about the situation. Describe what each of the factors means in terms of the height of the baseball and the time in seconds.
Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

Answer:

what's the topic hahhahahahah

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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0
3 years ago
I need help please i need the amount of miles
musickatia [10]

Answer: Perimeter is 23/8 miles

Step-by-step explanation: 7/8 can be converted into 14/16, when added to 18/16 you get 46/16 which is 23/8

7 0
4 years ago
Can some one help me please
frutty [35]
I believe The answer is B
6 0
3 years ago
Carlos ran 7 miles in 57 minutes. How fast did he run each mile ? June runs a little slower then Carlos. She ran one fourth of a
skad [1K]
57/7=8.14 so Carols ran 1 mile in 8.14 minutes
3*4=12 so June can run 1 mile in 12 minutes
7 0
3 years ago
PLEASE help me with this question and I WILL love you forever But yeah please help me with the question.And EXPLAIN in words how
Rufina [12.5K]
Well on this problem recall area of a rectangle is defined by:

A = lw    our w = 1/6 and our l = (x + \frac{2}{3})   we have let 'x' represent our original length.
(x +  \frac{2}{3} )( \frac{1}{6} )= \frac{11}{72}
\frac{1}{6} x+ \frac{2}{18} = \frac{11}{72}
12x + 8 = 11
12x = 11 - 8
12x = 3
x = \frac{3}{12} = \frac{1}{4}  So our original length is \frac{1}{4}
5 0
4 years ago
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