Let y (a) 3e¹/2x Find y'. y' = (b) Find y". y" = 1 7e-x. (c) Is y a solution of 2y" + y - y = O Yes O No

Q: find y^1 if y= 4^square root of x^2 +1 / x^2 -1

A: To differentiate the given function with respecto to x.

Q: Suppose that y^-1= 7x ^-2/6z^-1 Which equivalent to y? A. 6x^2/7z B. 7x^2/6z C. 7z/6x^2 D. 6z/7x^2

A: I have given the answer in the next step. Hope you understand that

Q: 3 / x+2 - 1/5x = 2/ 5x^2 +10x

A: Given equation is By solving left hand side of equation, we get

Q: Solve (3^(3x - 1) = 10^x) algebraically.

A: The given equation is

Q: For an exponential fuction in the form f(×)=ab^×what does the value of a and b represent A. a…

A: In the question it is asked to write about variables a and b in function f(x)=abx.

Q: x=(2x+35)^1/2

A:

Q: 9 √(x² - 2/2 √x + x 4/³)]dx

A:

Q: 5^(X-2)-5^(X-1)=20

A: See the attachment

Q: Evaluate the equation   9^(4x) + e^(11x-7) = 0

A:

Q: (8^ 2)/ (8^ 4/3 ) = 8^ x Find x.

A:

Q: Differentiate y=x^√x

A:

Q: D^5−2D^4+4D^3−8D^2)y=48e^−2x−16sin(2x)

A:

Q: Sketch y=(9-x^2)^1/2

A: We need to sketch the function, y=9-x212

Q: Why if 2^0 = 1 does 2 x 0 = 0

A: 20=1 0 can be written as 1-1 21-1 Now apply quotient rule aman=am-n 21-1 can be written as…

Q: Find x 8+e^1-4x=20

A: 8 + e1-4x = 20 e1-4x = 12

Q: 4/x=1/x^2+4x+5/x

A: The given equation is 4x=1x2+4x+5x. Solve as follows.

Q: y=5x^3, y=5x, x>0

A: The provided equation is y=5x^3  and y=5x

Q: 5x/(x^1/3)(y^2/3)

A: Given expression is

Q: (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x) (a+1)

A: We have to solve the given differential equation   (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x)…

Q: solve 3x^3y^-1z^-1/x^-4y^0z^0

A:

Q: Slove 2^x+1=5^1-2x

A: Given:  2^x+1=5^1-2x     To determine: solution for x

Q: Differentiate f(x)=(3x^2-6)^5

A:

Q: Differentiate In(7x+8)^1/7

A: ln(7x+8)1/7

Q: 4/3v-1/v=v+2/2v^2

A: Given 43v-1v=v+22v2 Solve value for v

Q: y=(x+1)/(x^3+x-2) differetiative

A: Given function y=x+1x3+x-2. The objective is to differentiate the function.

Q: solve X^2/5-X^1/5-2=0

A: Here a second digree quadratic equation is given , we have to find the solution for the same.