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Rasek [7]
3 years ago
13

The slope f '(x) at each point (x, y) on a curve. y = f (x) is given along with a particular point (a, b) on the curve. Use this

information to find f (x).
[CLO-3] f '(x) = 9 x 2 + 4 x - 4; (0, -7)
Mathematics
1 answer:
Advocard [28]3 years ago
5 0

Answer:

Step-by-step explanation:

Integrating each term with respect to x, we get:

            x^3          x^2

f(x) = 9--------- + 4------- - 4x + C

               3            2

We are told that if x = 0, f(x) = -7, and so C must equal - 7.  

The solution is

            x^3          x^2

f(x) = 9--------- + 4------- - 4x - 7,   or   f(x) = 3x^3 + 2x^2 - 4x - 7

               3            2

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The sum of three consecutive integers is -206 . What is the largest integer?
solniwko [45]

Answer:

Can' possible......

Step-by-step explanation:

Let suppose the numbers are:

x

x + 1

x + 2

Now according to given condition:

x + x +1 + x+ 2 = -206

By adding we get:

3x + 3  = -206 Subtracting 3 from both sides:

3x + 3 - 3 = -206 -3

Both terms on right side have negative sign so we will add them. (answer will have negative sign.)

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I hope it will help you!

8 0
3 years ago
The expected number of typographical errors on a page of a certain magazine is .2. What is the probability that an article of 10
Pavel [41]

Answer:

a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

Step-by-step explanation:

Given : The expected number of typographical errors on a page of a certain magazine is 0.2.

To find : What is the probability that an article of 10 pages contains

(a) 0 and (b) 2 or more typographical errors?

Solution :

Applying Poisson distribution,

N\sim Pois(0.2)

P(N=r)=\frac{e^{-np}(np)^r}{r!}

where, n is the number of words in a page

and p is the probability of every word with typographical errors.

Here, n=10 and E(N)=np=0.2

a) The probability that an article of 10 pages contains 0 typographical errors.

Substitute r=0 in formula,

P(N=0)=\frac{e^{-0.2}(0.2)^0}{0!}

P(N=0)=\frac{e^{-0.2}}{1}

P(N=0)=e^{-0.2}

P(N=0)=0.8187

The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors.

Substitute r\geq 2 in formula,

P(N\geq 2)=1-P(N

P(N\geq 2)=1-[P(N=0)+P(N=1)]

P(N\geq 2)=1-[\frac{e^{-0.2}(0.2)^0}{0!}+\frac{e^{-0.2}(0.2)^1}{1!}]

P(N\geq 2)=1-[e^{-0.2}+e^{-0.2}(0.2)]

P(N\geq 2)=1-[0.8187+0.1637]

P(N\geq 2)=1-0.9825

P(N\geq 2)=0.0175

The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

6 0
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Saydi is buying a pair of jeans that regularly cost $60. They are on sale for 40% off. If the tax rate is 9%,what is the sale pr
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