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Valentin [98]
3 years ago
12

Suppose u and v are functions of x that are differentiable at x=0 and that u(0)=3, u'(0)= -4, v(0)= 2, v'(0)= -7. Find the value

s of the following derivatives at x=0. A.) d/dx(uv)
Mathematics
2 answers:
3241004551 [841]3 years ago
7 0
\bf \cfrac{d}{dx}[u(x)\cdot v(x)]\implies \cfrac{du}{dx}\cdot v(x)+u(x)\cdot \cfrac{dv}{dx}\quad 
\begin{cases}
u(0)=3\qquad u'(0)=-4
\\\\
v(0)=2\qquad v'(0)=-7
\end{cases}
\\\\
\left[ \cfrac{du}{dx} \right]_{x=0}\cdot v(0)+u(0)\cdot \left[ \cfrac{dv}{dx} \right]_{x=0}

so.. hmm pretty sure you know what that is
grin007 [14]3 years ago
6 0

Answer:

none of these are useful

Step-by-step explanation:

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vladimir1956 [14]
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3 0
2 years ago
a 3 pound tub of butter at n dollars per pound costs $3.85. select the equation that most accurately depicts the word problem
Oksi-84 [34.3K]
<span>the equation that most accurately depicts the word problem  is
3xn=$3.85
proof
n=</span>
<span>n=$3.85/3=$1.28
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4 0
3 years ago
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A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha
gogolik [260]

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

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                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.

 

8 0
3 years ago
Factor 15c·(a+b)+8·(b+a)
AleksAgata [21]

Answer:

(15c + 8)(a + b).

Step-by-step explanation:

15c·(a+b)+8·(b+a)

(a + b) is common to both parts:

= (15c + 8)(a + b).

8 0
2 years ago
The length of a phone conversation is normally distributed with a mean of 4 minutes and a standard deviation of 0.6 minutes. Wha
Arlecino [84]
The z-score for 5 minutes is found from:
z=\frac{X-\mu}{\sigma}&#10;
z=\frac{5-4}{0.6}=1.667
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Therefore the probability that a conversation lasts for longer than 5 minutes is:
1 - 0.9522 = 0.048 to 3 d.p.
8 0
3 years ago
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