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3 years ago

15

Find the volume of the figure

2 answers:

Lina20 [59]3 years ago

8 0

Answer:

121.36

Step-by-step explanation:

L times W times H

Genrish500 [490]3 years ago

4 0

Step-by-step explanation:

8 x 3.7 x 4.1 = 121.36

length x width x height = volume

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Vivi scored 5 goals in Saskatoon sticks lacrosse tournament. This was 1/8 of her teams goals. How many goals did vivi’s team sco

yKpoI14uk [10]

5/ (1/8) = 40. Therefore the team scored 40 goals

7 0

3 years ago

Consider the following differential equation to be solved by undetermined coefficients. y(4) − 2y''' + y'' = ex + 1 Write the gi

kompoz [17]

Answer:

The general solution is

$y= (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x +\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

+ $\frac{x^2}{2}$

Step-by-step explanation:

Step :1:-

Given differential equation y(4) − 2y''' + y'' = e^x + 1

The differential operator form of the given differential equation

$(D^4 -2D^3+D^2)y = e^x+1$

comparing f(D)y = e^ x+1

The auxiliary equation (A.E) f(m) = 0

$m^4 -2m^3+m^2 = 0$

$m^2(m^2 -2m+1) = 0$

$(m^2 -2m+1) this is the expansion of (a-b)^2$

$m^2 =0 and (m-1)^2 =0$

The roots are m=0,0 and m =1,1

complementary function is $y_{c} = (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x$

<u>Step 2</u>:-

The particular equation is $\frac{1}{f(D)} Q$

P.I = $\frac{1}{D^2(D-1)^2} e^x+1$

P.I = $\frac{1}{D^2(D-1)^2} e^x+\frac{1}{D^2(D-1)^2}e^{0x}$

P.I = $I_{1} +I_{2}$

$\frac{1}{D^2} (\frac{x^2}{2!} )e^x + \frac{1}{D^{2} } e^{0x}$

$\frac{1}{D} means integration$

$\frac{1}{D^2} (\frac{x^2}{2!} )e^x = \frac{1}{2D} \int\limits {x^2e^x} \, dx$

applying in integration u v formula

$\int\limits {uv} \, dx = u\int\limits {v} \, dx - \int\limits ({u^{l}\int\limits{v} \, dx } )\, dx$

$I_{1}$ = $\frac{1}{D^2(D-1)^2} e^x$

$\frac{1}{2D} (e^x(x^2)-e^x(2x)+e^x(2))$

$\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

$I_{2}$ $= \frac{1}{D^2(D-1)^2}e^{0x}$

$\frac{1}{D} \int\limits {1} \, dx= \frac{1}{D} x$

again integration $\frac{1}{D} x = \frac{x^2}{2!}$

The general solution is $y = y_{C} +y_{P}$

$y= (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x +\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

+ $\frac{x^2}{2!}$

3 0

3 years ago

Two men walk at rates 6miles per hour and 10 miles per hour. They started from the same place walking in opposite directions. In

Mamont248 [21]

Answer:

The answer is 50 hours

Step-by-step explanation:

4x = 200

Divide both sides by 4

x = 200 \div 4 = 50

so after 50 hours of walking, the men will be 200 miles apart.

8 0

3 years ago

Identify the stem: 16<br> A. 1<br> B. 6<br> C. 7<br> D. 16

Virty [35]

1 is the answer. You put the places in a chart, stem and leaf plot I think its called, look in up up like for another example because it/s been awhile since I learned this

8 0

3 years ago

What is the value of y?<br> y +10°<br> 50°<br> A. 500<br> B. 40°<br> C. 60°<br> ОО<br> D. 300

klasskru [66]

Answer:

B

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

y + 10 + 2y + 50 = 180 , that is

3y + 60 = 180 ( subtract 60 from both sides )

3y = 120 ( divide both sides by 3 )

y = 40 → B

6 0

2 years ago

Read 2 more answers