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cluponka [151]
3 years ago
5

Use synthetic division to evaluate f (x)= x^3+ 6x^2-2x - 12 when x = 3

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0
The answer is 63. Hope this helps.
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Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(O) = 2.8 y(t) =( Preview
Karolina [17]

Answer:

y=\frac{4}{5}e^{t}-\frac{4}{5}e^{-\frac{2}{5}t}

Step-by-step explanation:

The given equation 5y'' + 3y' - 2y =0 can be written as

(5D^{2}+3D-2)y(t)=0

Solving for complementary function we have Roots of (5D^{2}+3D-2) as follows

(5D^{2}+5D-2D-2)

5D(D+1)-2(D+1)=0\\\\(5D-2)(D+1)=0\\\\\therefore D=-1\\D=+2/5

Thus the complementary function becomes

y=y=c_{1}e^{m_{1}t}+c_{2}e^{m_{2}t}

where

m_{1},m_{2} are calculated roots

thus solution becomes

y=c_{1}e^{-t}+c_{2}e^{\frac{2}{5}t}

Now to solve for the coefficients we use the given boundary conditions

y(0)=0\\\\\therefore c_{1}+c_{2}=0\\\\y'(0)=-c_{1}+\frac{2}{5}c_{2}=2.8\\\\\therefore c_{2}+\frac{2}{5}c_{2}=2.8\\\\c_{2}=2\\\\\therefore c_{1}=-2}

hence the solution becomes

y=-2e^-{t}+2e^{\frac{2}{5}t}

8 0
3 years ago
Need Help ASAP please...
Umnica [9.8K]

Answer:

2000

Step-by-step explanation:

6.5% of 29, 788 is

0.065(29,788) = 1936.22

However, he is guaranteed a salary of $2000. Since 2000 is larger than 1936.22, he receives $2000.

3 0
3 years ago
A rectangle is 3 1/3 ft long and 2 1/3 feet wide. What is the distance around the rectangle?
Sonja [21]
3 1/3= 10/3
2 1/3= 7/3
7/3 + 10/3= 17/3
17/3 (2)+ 34/3
34/3= 11 1/3
final answer = 11 1/3
8 0
4 years ago
Read 2 more answers
Question part points submissions used this exercise involves the formula for the area of a circular sector. find the area of a s
kolezko [41]
The formula for the area of a sector in radians is  A= \frac{1}{2}r^2 \theta,  where theta is the angle in radians.  For us, the formula looks like this:   A= \frac{1}{2}(9)^2* \frac{3 \pi }{5}.  Doing all the multiplication on that gives us  A= \frac{243 \pi }{10}.  Multiplying in pi and rounding to the nearest tenth gives us an area of 76.3 meters squared.  You can use the formula for the area of a sector with the angle in degrees as well.  Just replace the 360 degrees with 2pi and it works the exact same way.
6 0
3 years ago
Simpifly 6/30 <br> ..... ........
ollegr [7]

Answer:

1/5

Step-by-step explanation:

Divide both numerator and denominator by 6:

1/5

7 0
3 years ago
Read 2 more answers
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