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Over [174]
3 years ago
13

PLEASE HELP I NEED THIS

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

Answer is 18 degrees.

Step-by-step explanation:

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My new Labrador puppy weighs 3 pounds more than 0.25 of his mom's weight His mom weighs 60 pounds what is kaiser weight?
Delicious77 [7]
Ok, first you have to know that 0.25 is one fourth. Finding one fourth of 60 is the first step. 1/4 of 60 is 15. Now, add 3 to 15, and you have your answer! The answer is 18 pounds.
7 0
3 years ago
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A driver works 40 hours a week for the first two months
kakasveta [241]
Not sure but you can figure it out.
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3 years ago
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I have calculus problems that I need help with.
aleksklad [387]

a. Note that f(x)=x^ne^{-2x} is continuous for all x. If f(x) attains a maximum at x=3, then f'(3) = 0. Compute the derivative of f.

f'(x) = nx^{n-1} e^{-2x} - 2x^n e^{-2x}

Evaluate this at x=3 and solve for n.

n\cdot3^{n-1} e^{-6} - 2\cdot3^n e^{-6} = 0

n\cdot3^{n-1} = 2\cdot3^n

\dfrac n2 = \dfrac{3^n}{3^{n-1}}

\dfrac n2 = 3 \implies \boxed{n=6}

To ensure that a maximum is reached for this value of n, we need to check the sign of the second derivative at this critical point.

f(x) = x^6 e^{-2x} \\\\ \implies f'(x) = 6x^5 e^{-2x} - 2x^6 e^{-2x} \\\\ \implies f''(x) = 30x^4 e^{-2x} - 24x^5 e^{-2x} + 4x^6 e^{-2x} \\\\ \implies f''(3) = -\dfrac{486}{e^6} < 0

The second derivative at x=3 is negative, which indicate the function is concave downward, which in turn means that f(3) is indeed a (local) maximum.

b. When n=4, we have derivatives

f(x) = x^4 e^{-2x} \\\\ \implies f'(x) = 4x^3 e^{-2x} - 2x^4 e^{-2x} \\\\ \implies f''(x) = 12x^2 e^{-2x} - 16x^3e^{-2x} + 4x^4e^{-2x}

Inflection points can occur where the second derivative vanishes.

12x^2 e^{-2x} - 16x^3 e^{-2x} + 4x^4 e^{-2x} = 0

12x^2 - 16x^3 + 4x^4 = 0

4x^2 (3 - 4x + x^2) = 0

4x^2 (x - 3) (x - 1) = 0

Then we have three possible inflection points when x=0, x=1, or x=3.

To decide which are actually inflection points, check the sign of f'' in each of the intervals (-\infty,0), (0, 1), (1, 3), and (3,\infty). It's enough to check the sign of any test value of x from each interval.

x\in(-\infty,0) \implies x = -1 \implies f''(-1) = 32e^2 > 0

x\in(0,1) \implies x = \dfrac12 \implies f''\left(\dfrac12\right) = \dfrac5{43} > 0

x\in(1,3) \implies x = 2 \implies f''(2) = -\dfrac{16}{e^4} < 0

x\in(3,\infty) \implies x = 4 \implies f''(4) = \dfrac{192}{e^8} > 0

The sign of f'' changes to either side of x=1 and x=3, but not x=0. This means only \boxed{x=1} and \boxed{x=3} are inflection points.

4 0
1 year ago
Read 2 more answers
(-5)x (-5) x (-5) x (-5) = <br> What would the answer be <br><br> 20 points
Natasha_Volkova [10]

Answer:

625x^{3}

Step-by-step explanation:

4 0
3 years ago
BRAINLIEST AND FIVE STARS TO CORRECT ANSWER
Llana [10]
The answer is the first option, <-20, -42>.

We can find this by first finding what -2u would equal by multiplying <5, 6> by -2. This gives us <-10, -12>.

Then we need to find out what 5v is equal to, by multiplying <-2, -6> by 5 to get <-10, -30>.

Now that we know what -2u and 5v are, we can substitute them into the equation and get
<-10, -12> + <-10, -30>, which we can split up into -10 - 10 = -20, and -12 - 30 = -42, so your final answer is <-20, -42>.

I hope this helps!
8 0
3 years ago
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