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

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: How did you integrate (y^2/4)^2

A: We shall solve only the part where there is confusion/doubt as asked in the above question.

Q: xp (x) + xA + x^) xp (1/) + xA + x^)/ (a) (f) (4 x 87 + 4" + 6" In 6) dr 1 dx x In x (g)

A: Take derivative of each term , apply power rule

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: nd a formula for g^-1(x) when g(x) = *x+1)/(2x-1)

A: Function and it's application

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

A:

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: Is the equation( e^2x) + (xcosx) +(-2) =0 has real roots ?

A: Using mean value theorem for continuous functions

Q: if g(x)=3x+4 determine n such that g(-3)=g^-1(n)

A:

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

A: To find the integral.

Q: x^2-1

A: Equate the equation to 0 first ie x^2-1=0 now move 1 to the RHS and apply square root on boths sides…

Q: f(x) = 5x^3/sin(2x-9) what is f(18)?

A: We have to find the function value

Q: f (x) = 3^x and g(x) = ( 1/3)^x (a) Find f (-1) and g(3) (b) Find f (3/2) and g (-2)

A:

Q: why is it f'(x)=(x^2+5)(1)-x(2x)/(x^2+5)^2  where did the (1) and 2x come from in the numerator?…

A: We have to explain the first order differentiation of the given function

Q: ① -2) (7x 0 - 3x - 2 + 이승 이승 ② 1 ( + ex) 2 dx Hx2

A: (1)ddx(7x6+3x4−2x)

Q: The answer was correct but I don't understand, how you got the number 2 on the last line. G'(5) = 2…

A:

Q: How to Solve F(x)=1/5(x+4)(x+1)^2(x-3)

A: Given function:

Q: Consider the function whose output formula is N = f(t) = 175(2)^T . What is the solution for the…

A:

Q: N = f(t) = 5000exp(-1/12(t-40)^2) is the form for number of infections, where t = 40 is the peak a)…

A: Let's find.

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: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: how is f(x)=x^5  a power function

A: We know that ,  power functions are functions that are in the form of f(x) = kxa or y = kxa, where k…

Q: WHAT IS THE DOMAIN AND RANGE OF RADICALS F(X) = X^(5/6)

A: given function :

Q: Let f(x)=3x+1/9x+3 Find f^−1(x) (inverse)

A: Inverse of f is calculated by replacing X and y by each other and finding x in terms of y.

Q: why X"/X=-lamba and T"/(a^2)*T=-lamba.

A: Consider the given information: X"/X=T"/(a^2)T =-λ