Question 8 a and care real numbers. Find all values of a andc so that the functions y₁-e2x and y2-ela-3)x+c O a# 5,ce a O a=5, c-0 O a‡ 5, c=0 O a-5, ce a cannot form a fundemental set of solutions(cannot be linearly independent) for a 2. order linear homegenous differential equation.

Q: 24 30

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Q: d. 噩田

A:

Q: u(z) dr

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Q: 26 ÷ 22

A: Solve by squarring both side

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Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: /875:59

A:

Q: LCM(77, 18) =

A: We have to find the LCM of 77 and 18.

Q: 14 m2a2

A: Total female = 133+43 = 178 Total "did not graduate" = 55+43 = 98 Grand total= (126+55+133+43)  =…

Q: 1b+1b

A: Applying  addition operation since terms with same variable  binomial addition

Q: 40 X

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Q: 20 14 16

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Q: 5у 10y

A: Given,    5y/10y    Cancelling y from both numerator and denominator to get,    5/10   Now, 5/10 can…

Q: 1805

A:

Q: 3. Identify all the cycles at each node of the directed graph above.

A: Cycle is defined as a path that start and end at the same vertex.

Q: 40 10

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Q: 2. 7. 58

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Q: 56 10

A: The objective is to evaluate the value for

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A: The given equation is:  -3   2÷-10    7

Q: 2426

A: Given expression: 2+2

Q: 7

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Q: 42 -13

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Q: In r dr

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Q: A А x 3 В

A: To find the value of x

Q: 72° C 9x A

A: Given,          A triangle is shown below :

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A:

Q: (402-25)

A: Given: I=4θ2-25dθ We know that ∫x2-a2dx=x2x2-a2-a22logx+x2-a2+c…

Q: 9 tmes 8

A: 9 times 8 means adding 8 upto 9 times or multiply 8 by 9.

Q: 36 70

A:

Q: 247

A:

Q: 3 33. 3 .2 3.

A:

Q: 20 . 35 60.

A: Given equation: 20=3560 Consider the missing term be 'x' 20x=3560 The objective is to find the value…