Because we have x = 3, we can substitute it. But first, let's convert 2x + 4y = 14 into y-slope intercept form.
2x + 4y = 14
Subtract 2x from both sides.
4y = -2x + 14
Divide both sides by 4.
y = -1/2x + 3.5
Now substitute.
y = -1/2(3) + 3.5
y = -1.5 + 3.5
y = 2
(3, 2)
The answer of the question number 2 is D
The correct question is:
Determine whether the given function is a solution to the given differential equation. y = cosx + x^8; d²y/dx² + y = x^8 + 56x^6
Step-by-step explanation:
Given the differential equation
d²y/dx² + y = x^8 + 56x^6.
Suppose y = cosx + x^8 is a solution, then differentiating y twice, and adding it to itself, must give the value on the right hand side of the differential equation.
Let us differentiate y twice
y = cosx + x^8
dy/dx = -sinx + 8x^7
d²y/dx² = -cosx + 56x^6
Now,
d²y/dx² + y = -cosx + 56x^6 + cosx + x^8
= 56x^6 + x^8
Therefore,
d²y/dx² + y = x^8 + 56x^6
Which shows that y = cosx + x^8 is a solution to the differential equation.
Answer:
x=25
Step-by-step explanation:
3x-5=2x+20=4x-30
3(25)-5 = 2(25) + 20 = 4(25) - 30
75-5 = 50 + 20 = 100 - 30
70=70=70
Answer:
You did the same on both exams.
Step-by-step explanation:
To compare both the scores, we need to compute the z scores of both the exams and then compare the values. The formula for z-score is:
<u>Z = (X - μ)/σ</u>
Where X = score obtained
μ = mean score
σ = standard deviation
For Exam 1:
Z = (95 - 79)/8
= 16/8
<u>Z = 2</u>
For Exam 2:
Z = (90 - 60)/15
= 30/15
<u>Z = 2</u>
<u>The z-scores for both the tests are same hence the third option is correct i.e. </u><u>you did the same on both exams.</u>
