I don't understand when you use separation of variables you get (r^2R"+rR')/R=-S"/S.Can you please explain it to me. Thank you

Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

Q: h(x)=x^2-3x+5, find x and y intercepts

A:

Q: 2x+x-21x+24 dx x² +2x-8

A:

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: y=6cos^2(x/4)-3

A:

Q: Drug doses for dogs are known to scale with their weight. If the weight W of the dog is given in…

A:

Q: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2

A: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2 Given D.E., x2D2+6xD+6)y=x2⋯(1) which is…

Q: Why is x+9y^2 =1 not a linear equation?

A: The given equation x+9y2=1

Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

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: y= 4e^x-5 What would be the equation if reflected about the x axis?

A:

Q: does y^2+x^2=4 define y as a function of x?

A: A relation from a set X to another set Y is called a function if each element of X is related to…

Q: Y varies directly with x , and Y=3 when X=2. Find Y when X= 7

A: We can find the answer as below

Q: Find the exact values for R if 3/R^2 -1/R =1

A: Solve the equation

Q: y=cosh^-1 (3)

A: We have to find the value of the given expression y=cosh-13.

Q: Find the equation of the line which is at a perpendicular distance of 5 units from the origin and…

A:

Q: llustration 11.5. Find the standard deviation and coefficient of skewness for the following…

A:

Q: The value of (-1+v3 i)^(1/3)

A:

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

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

A:

Q: y = 2x/sqr(x^2 + 1) - find the deriviative using chain rule and explain each step clearly and show…

A:

Q: The height of an adult can be predicted from their height as a child. If a child is i inches tall at…

A: Any values for i and w can be substituted in the function, H(i,w) = 150 iw to calculate the value of…

Q: 4 16CLE - (19/21²) - (2 ² Kc ^^ ) ² + H / (9.-187) T gọt K₂c² t 11₁ H) 4CL 16C₁²

A:

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

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

Q: The number of bacteria in a culture is modeled by the function n(t)=30e^rt where t is in hours.…

A:

Q: the rational expression to lowest terms. Identify all numbers that mus (4t-8)/(t^(2)-4)

A:

Q: Differentiate the given function. y = (9x + 4) y'=D %3D

A:

Q: If f(x) 4x + 2 3x + 3 find:

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: