dy1, with y(1) = 1, and x, y > 09xy%3Ddx

Q: if you have a parametric equation grapher, graph the equations over the given intervals x = 2t + 3, ...

A: We need to graph the following.Graph the parametric equation over the given intervals:        x = 2t...

Q: Evaluate the limit, if it exists:

A: LCM of (x+h)^2 and x^2 is x^2*(x+h)^2.Simplify the numerator using LCD.

Q: solve the initial value problem  x dy - (y + sqrt(y)) dx = 0, y(1) = 1

A: We know :

Q: What is the binomial series? On what interval does it converge? How is it used?

A: Given:What is the binomial series? On what interval does it converge? How is it used?

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the re...

A: Sketch the integrant as shown below.

Q: Condense the following log expression. -2log3(xy)+4/5log3(z)^10+log3(x+1)

A: Condensing the logarithmic expression.

Q: How many terms of the Taylor series for ln (1 + x) should you add to be sure of calculating ln (1.1)...

A: The Taylor series for ln(1+x) can be written as:

Q: A girl is sliding down a slide shaped like the curve y = 9e^(-x/3). Her y-coordinate is changing at ...

A: Given,

Q: Could x^(ln 2) possibly be the same as 2^(ln x) for some x> 0? Graph the two functions and explai...

A: Consider x = 3>0Then