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VMariaS [17]
3 years ago
14

Find the general solution of y\"+9y=t^2*e^3t+6.

Mathematics
1 answer:
Fofino [41]3 years ago
3 0
We are given with the equation y"+ 9 y = t^2 * e^3 t + 6 and asked to determine the general solution to this equation. we convert the equation into r^2 + 9 = 0. The solution to this equation is r = +/- 3i. This solution converted to trigonometric function is equivalent to <span>y</span>= <span>C1 </span>cos3t + <span>C2 </span>sin<span>3t. </span>
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Help me out ASAPP, appreciate it very muchh
stiv31 [10]

Answer:

0.3432 units^2

Step-by-step explanation:

Variable A = area

A = length × width

A = 1.32 units × 0.26 units

A = 0.3432 units^2

8 0
3 years ago
Time zones around the world are either ahead (+) or behind (-) Greenwich Mean Time (GMT). If it is 9 p.m. in Greenwich, England,
jenyasd209 [6]
The current GMT is 9:00 P.M.
The time in India is 5 hours more than GMT
5=3+2
9+3=12
12:00+ 2 hours= 2:00
Solution: D. 2 A.M.
8 0
4 years ago
Read 2 more answers
Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form.
MakcuM [25]
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:

6 - 14 / -2 - 2
-8 / -4
2

The slope is two, so we immediately know the answer is either A or B.

Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...

My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10
5 0
4 years ago
Kawika is a woodworker, and he carves a block in the shape of a rectangular prism. What is the total surface area of the block
slavikrds [6]

Surface Area of a Right Traingular Prism is = bh + L(S1 + S2 + h)

from the question given

h = 5,

S1 = 12 = b

S2 = 13

L =10

= bh + L(S1 + S2 + h)

= 12(5) + 10(12 + 13 + 5)

= 60 + 10(30)

=60 + 300

=360

From the shape

The Triangle side Area = 1/2 X B X H

=1/2 X12 X 5 = 30

we have two faces of the triangle = 2x 30 = 60

For the Top side = 10 X 13 = 130

for the base/floor = 12 x 10 = 120

for the back end side = 5 x 10 = 50

Total = 60 + 130 + 120 +50

=360

4 0
1 year ago
Describe the motion of a particle with position (x,y) as t varies in the given interval. x=3sint, y=1+cost, 0≤t≤3π/2
Margaret [11]

Answer:

The motion is centered about (0,1)

Step-by-step explanation:

x = 3sint ---- (1)

y = 1 + cos(t) ----- (2)

x^2 = 9 *sin(t)*sin(t)  

hence; (x^2)/9 = sin(t)*sin(t) ---- (3)

y-1 = cos(t)  

hence; (y-1)^2 = cos(t) * cos(t)  ---- (4)

adding  equation 3 and 4

(x^2)/9 + ( y - 1 )^2 = 1

The motion is centered about (0,1)

3 0
3 years ago
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