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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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A 26-foot long ladder is leaning against a building at a 60 degree angle with the ground. Which of the following equations can y
Sati [7]

Answer:

22.5 feet (to the nearest tenth).

Step-by-step explanation:

The equations have not been given but still the question can be solved. The ladder lying with a building makes a right angled triangle, in which the ladder is the hypotenuse, the building is the perpendicular, and the ground is the base. The length of the ladder (hypotenuse) is 26 feet and the angle with the ground is 60 degrees. The required length to be found is the length of the building (perpendicular). So the following formula will be used:

sin θ = Perpendicular/Hypotenuse.

Substituting in the equation gives:

sin60 = p/26.

p = 26*sin60.

p = 22.5 (to the nearest tenth).

The approximate height of the building is 22.5 feet!!!

4 0
3 years ago
Read 2 more answers
Solve the equation. Check your solution.<br> 3x+4x-8=6<br> x= <br> ​(Simplify your​ answer.)
KengaRu [80]

Answer:

<h2>x=2</h2>

Step-by-step explanation:

Isolate x

3x + 4x - 8 = 6

             +8    +8

3x + 4x = 6 + 8

Simplify

3x + 4x = 6 + 8

7x = 14

Divide both sides by 7

7x/7 = 14/7

x = 2

6 0
3 years ago
Dylan invested $1800 in an scoping that pays 3.75% interest compounded annually. Assuming no deposits or withdrawals are made, f
julsineya [31]

Answer:

2244.9

Step-by-step explanation:

Anually compound interest formula

PV(1+i)^t

1800(1+.0375)^6

1800*1.0375^6

2244.921387 which rounds to

2244.9

8 0
3 years ago
Which statement is true?
Maslowich

Answer:

A

Step-by-step explanation:

on the left of the equation, (6^4)^-5 = 6^-20

the right side you add the exponents so it would be (-7-3) =-10

so it would be 6^-10, which is greater than 6^-20

5 0
2 years ago
Pls help its due soon
slega [8]

Answer:

A

Step-by-step explanation:

If the number of people in the theater must be under 240, then there must be less than 10 seats in each row on the floor to meet fire safety regulations.

if X=10 then, 15 times 10 plus 90 = 240.

Since the number of people must be under 240, there must be less than 10 seats in each row on the floor.

6 0
2 years ago
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