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maks197457 [2]
3 years ago
11

Use undetermined coefficients to find the particular solution to 7t + 5=y''+y'-4y У, (t) - Preview Get help: Video Points possib

le: 1 This is attempt 1 of 2. Post this question to forum License
Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Suppose y_p=a_0+a_1t is a solution to the ODE. Then {y_p}'=a_1 and {y_p}''=0, and substituting these into the ODE gives

a_1-4(a_0+a_1t)=7t+5\implies\begin{cases}-4a_1=7\\-4a_0+a_1=5\end{cases}\implies a_0=-\dfrac{27}{16},a_1=-\dfrac74

Then the particular solution to the ODE is

y_p=-\dfrac{27}{16}-\dfrac74t

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Whats the missing varible for the following questions ​
marta [7]

Answers + Explanation:

1. x + 7 =10

if you know some number + 7 is 10, you know that number must be 3.

so, x = 3

the other way you can solve this would be:

x + 7 = 10

subtract 7 from both sides of the equation

x + 7 - 7 = 10 - 7

x = 3

2. Use the same strategy:

x - 8 = -5

add 8 to both sides of the equation

x - 8 + 8 = -5 + 8

x = 3

3. x + 3 = 6

subtract 3 from both sides of the equation

x + 3 - 3 = 6 - 3

x = 3

4. x + 6 = 3

subtract 6 from both sides of the equation

x + 6 - 6 = 3 - 6

x = -3

7 0
2 years ago
HELP ME PLEASE <br> solve the right triangle
Amiraneli [1.4K]

ST = 7.2

RT = 4.04

m∠S = 34°

Solution:

Given ΔRST is a right triangle.

RS = 6, ∠T = 56°

$\csc A=\frac{\text {Hypotenuse} }{\text {Opposite side}}

$\csc A=\frac{ST}{RS}

$\csc 56^\circ=\frac{ST}{6}

$\csc 56^\circ \times 6=ST

1.206 × 6 = ST

7.236 = ST

ST = 7.2

$\cot A=\frac{\text {Adjacent side} }{\text {Opposite side}}

$\cot A=\frac{RT}{RS}

$\cot 56^\circ=\frac{RT}{6}

$\cot 56^\circ \times 6=RT

0.674 × 6 = RT

4.044 = RT

RT = 4.04

To find the measure of angle S.

Sum of the interior angles of the triangle = 180°

m∠R + m∠S + m∠T = 180°

90° + m∠S + 56° = 180°

m∠S + 146° = 180°

m∠S = 180° – 146°

m∠S = 34°

8 0
3 years ago
Can someone please explain how to find this answer? thanks
N76 [4]
I would start with the standard form equation of the parallel line.
.. 5x -2y = 5(-2) -2(3) = -16
Then solve for y.
.. 2y = 5x +16 . . . add 2y+16; then divide by 2 for the next equation
.. y = (5/2)x +8 . . . . . . . corresponds to selection (B)
6 0
3 years ago
Read 2 more answers
Quadrilateral ABCD with vertices A(-4, 1), B(-2,3), C(0,-2), and D(-5,-2) Give the coordinates of the image if k=3.
borishaifa [10]

If you're using a coordinate plane, I think it makes a trapezoid

3 0
3 years ago
Mike's truck engine holds 1 and 1/4 gallons of oil if there are 3 quarts of oil in the engine now how many more quarts of oil do
HACTEHA [7]

Answer:

2 more quarts of oil is needed to fill

the engine to capacity

Step-by-step explanation:

Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity

We have to convert the capacity to quarts

Mathematically, 1 gallon = 4 quarts

So 1 1/4 gallon will be 5/4 * 4 = 5 quarts

So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts

4 0
3 years ago
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