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8_murik_8 [283]
2 years ago
14

Find the first and second derivative of the function defined by the parametric equation.

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
6 0

Answer:

Step-by-step explanation:

Given two parametric equations x(t) and y(t), the first derivative can be found using the following equation:

\frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}

In this problem, x(t) = 3e and y(t) = 3^{3t} - 1. Finding the derivative of each of these functions with respect to t gives us the following:

\frac{dx}{dt} = 0

\frac{dy}{dt} = 3^{3t + 1}\log{3}

Because \frac{dx}{dt} = 0, that means the function is a vertical line and has an infinite first derivative.

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BaLLatris [955]

Answer:

1. 175

2. 28

Step-by-step explanation:

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ones digit × 8^0,

tens digit × 8^1

hundreds × 8^2

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4 0
2 years ago
2-5|5m-5|=-73 absoute value
Wewaii [24]
Solutions i found was  m=4 or  m=-2<span>

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6 0
2 years ago
Read 2 more answers
Find the rational zeros of the polynomial function, f(x)= 4x^3-8x^2-19x-7
Dima020 [189]

Answer:

The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  

Step-by-step explanation:

Given polynomial as :

f(x) = 4 x³ - 8 x² - 19 x - 7

Now the ration zero can be find as

\dfrac{\textrm factor of P}{\textrm factor Q} ,

where P is the constant term

And Q is the coefficient of the highest polynomial

So, From given polynomial ,  P = -7 , Q = 4

Now , \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}

I.e  \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q} = \frac{\pm 7 , \pm 1}{\pm 4 ,\pm 2,\pm 1 }

Or, The rational zero are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1

Hence The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  Answer

7 0
3 years ago
An inequality can have more than one solution
ratelena [41]
True. If there is a point in the middle that is false, we have two create 2 solutions.

Hope this helps!
4 0
3 years ago
I need help on the yes and no one
lutik1710 [3]

Hello from MrBillDoesMath!

Answer:

10a.     YES

10b.     YES

10c.      NO

10d .    YES

Discussion:

If x = 12

10a. Does (3/4) 12 = 9? Does (36/4) = 9  = 9?  YES

10b. Does 3x = 36? Does 3(12) = 36 = 36? YES

10c.  Does 5x = 70? Does 5(12) = 60 = 70? NO

10d.  Does x/3 = 4? Does 12/3 = 4 = 4 ? YES

Thank you,

MrB

5 0
3 years ago
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