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Bezzdna [24]
3 years ago
10

Determine which function has the greatest rate of change as x approaches infinity.

Mathematics
1 answer:
Elan Coil [88]3 years ago
3 0

Answer:

A) f(x) = 2^x - 10

Step-by-step explanation:

Exponential functions are always greater in the long run.

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An economist for a sporting goods company estimates the revenue and cost functions for the production of a new snowboard. These
Vladimir79 [104]

Answer:

Between 1000 and 5000 snowboards will make the function AP(x) >0.

Step-by-step explanation:

Since x can only take possitive values, we have that AP(x) = P(x)/x > 0 if and only if P(x) > 0.

In order to find when P(x) > 0, we find the values from where it is 0 and then we use the Bolzano Theorem.

P(x) = R(x) - C(x) = -x²+10x - (4x+5) = -x²+6x - 5. the roots of P can be found using the quadratic formula:

r_1,r_2 = \frac{-6 ^+_- \sqrt{6^2-4*(-1)*(-5)} }{2*(-1)} = \frac{-6^+_-\sqrt{16}}{-2} = \{1, 5\}

Therefore, P(1) = P(5) = 0. Lets find intermediate values to apply Bolzano Theorem:

  • P(0) = -5 < 0 ( P is negative in (-∞ , 1) )
  • P(2) = -4+6*2-5 = 3 > 0 (P is positive in (1,5) )
  • P(6) = -36+36-5 = -5 < 0 (P is negative in (5, +∞) )

The production levels that make AP(x) >0 are between 1000 and 5000 snowboards (because we take x by thousands)

5 0
2 years ago
Let g(x) = sqrt2x/ln(x) find g'(x)
nikklg [1K]

Answer:

Step-by-step explanation:

Download pdf
5 0
2 years ago
Pls help I need this done asap
Paul [167]

Answer:

I can help you solve this.

but first telll me in the comments what is the formula for this equation and ill tell u from there

5 0
2 years ago
Solve.<br> 3^x = 81<br> a X= 2<br> b. X= 4 c. x=6 d. x =9 <br><br><br> HELPPPPP
maw [93]

Answer:

B= x=4

3 x 3 x 3 x 3

3 x 3=9

3 x 3=9

9 x 9=81

3 0
3 years ago
Read 2 more answers
Subtract 7a<br><br>2<br><br>-4ab+2b<br><br>2<br><br>from 3ab+7a2+2b2
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

3ab + 7a² + 2b² - (7a² - 4ab + 2b²) = 3ab + 7a² + 2b²  - 7a² + 4ab - 2b²

Now combine like term. Like terms have same variable with same power.

= <u>3ab + 4ab</u>  <u>+ 7a² - 7a²</u>  + <u>2b² - 2b²</u>

= 7ab

4 0
2 years ago
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