T' + a²kT = 0 The general solution of the above equation is,

Q: what is the positive solution to the equation 0 = 1/3 x^2 - 3?

A:

Q: g(x)=x^2+x-4 find and simplify g((1/2). Can you please help me with this problem?

A: To determine the value of the function g(1/2).

Q: How would I go about sketching z = 4 - 4x^2 - y^2 and z = 2(x^2 - y^2)^(1/2)?

A: Given equation of the curve  z=4-4x2-y2 and z=2x2-y2

Q: Given that f(x)=2x-3 and g(x)=6-x^(2), calculate (a) f(g(0))= (b) g(f(0))=

A: Given that f(x)=2x−3andg(x)=6−x2Find Value of (a)  f(g(0)) and                 (b)  g(f(0))

Q: Does y = (x-5)^(2/3) have a point of inflection?  Discuss.

A: The given function is y=x-523. The objective is to calculate the point of inflection.

Q: Can you please help me with this question? Thank you! (b) Let n = 2^2^k. Solve T(n) =…

A: We have to solve the given recurrence relation.

Q: Find the solution to this equation: z^3=(-1-(sqrt(3))(i))

A: Complex number

Q: Suppose the function f is updated from f(x)=x^3 to f(x)=−3.5x^3. How does changing the coefficient…

A: There are two big changes you introduced to the function when you change the coefficient from 1 to…

Q: In step 2, I don't understand why gf=f^-1g^-1.

A: Here We will show how in the step 2,  has come.

Q: if f(1)=2 and f(n)=f(n-1)^2-3 then find the value of f(3)

A: Given  f1=2fn=fn-12-3 To find f(3) substitute n=3 in f(n) fn=fn-12-3f3=f3-12-3      =f22-3

Q: g(x)=t +2 / t -2    find :  g(a^2 - 2)=    g(a+1)=

A: The given function is gt=t+2t-2. Evaluate ga2-2 as follows. ga2-2=a2-2+2a2-2-2=a2a2-4=a2a+2a-2…

Q: 3^e(x+2)=21

A:

Q: T(x)= 21 + 25ln (x+1) Find the expression for T^-1 (x)

A:

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b > 0, n+ab=Θnb

Q: Explain what happens to the base function when and why when it went from  a(x)= x^2 to i(x) =…

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: I am having trouble solving this problem. Can you please provide me with some help? Thank you. I…

A:

Q: 2 (e^)² = e²x why rather than (e^)² = etz 2

A: To find the integral.

Q: solve 4sin^2x+4coscos(x)-5=0 in the interval (0°, 360°]

A: Step 1: Step 2:

Q: Explain what happens to the base function, from #1 and #2 and why?  a(x) = x2 b(x)= -x^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: If 82+5f(x)+x^2(f(x))^3=0 and f(3)=-2, find f’(3)

A:

Q: How do you solve T"+(a^2)*lamba*t=0?

A: The general form of a homogeneous linear ordinary equation with constant coefficients is given by…

Q: differentitate f(x)= (ax^3+b) (cx^2+d)?  I know to use the product rule but am having trouble…

A:

Q: In step 3, how did you know to use yp = ( 1 / (D^2 + 9) ) 4sin(2x)?

A: The given initial value problem y''+9y=4sin(2x), y0=1, y'0=1. We have to find the solution of the…

Q: What's the relationship between (x)^1/2 and (x)^2? Based on their properties and graphs

A: whats the relationship between the given curve

Q: How does (x-y+3)(x-y+1) = e^2x go to y=(x^2+4x+3-e^2x)/2(x+1) ??

A: Recall  the fact that Now, observe the fact that : ((2)…

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: Rewrite y = 3 * (8) ^ (t / 15) in the form y^ prime =a(1+r)^ t or y = a(1 - r)

A:

Q: ∑5 (-2) ^ k -1 K=1

A: Given, ∑5-2k-1