Differential calculus
Differential calculus
Hi, looking for help on the following problem that has multiple parts: please show the work Consider the function f(x) =x^2/x^2 β 4. A-Find the vertical and horizontal asymptotes...
Prove that if π(π₯) and π(π₯) are infinitely-differentiable functions (that is, you can take as many derivatives of them as you like) that (ππ)(π) or the ππ‘β derivative of the product of π...
How do you find the derivative of y = 2xΒ³ - 2xΒ² - 3x + 1 with respect to x
Determine the coordinates on the graph of Y=x^4-8x^2 where the tangent lines to the curve are horizontal. I need help with this problem. I know I have to take the derivative but what is left?&nbs...
if 81% of schedule flights actually take place and cancellations are independent events, wha t is the probability that 3 separate flights will take place
A weight is attached to a rope 42 ft long. The rope passes over a pulley 22 ft above the ground. A man takes hold of the end of the rope and walks back at 10 ft per second holding the end at a level...
A bookstore can obtain the best-seller 20,000 Leagues Under the Majors from the publisher at a cost of $6 per book. The store has been offering the book at a price of $30 per copy and has been selling...
Graph r= cos 15ΞΈ/16, what pattern of the graph we will get and explain what happen if the domain grows bigger? Thank you
r= e^cos ΞΈ -2cos4ΞΈ + sin^3 ΞΈ/4 What will be the interval for ΞΈ in order to get a butterfly curve?
Why? Is that because of the shape? May I know more explanation why r = ΞΈ cos ΞΈ is called the Garfield curve?
this equals to?
The answer format is: As an investment, the painting earned an interest rate of ____ %.
If β« g(x) dx from a to b = 4a+b, then β« (g(x)+7) dx from a to b = ? please explain
At time tβ₯0 the acceleration of a particle that is moving along the x-axis is a(t)=t+2sin(t). At t=0 the velocity of the particle is -4. For what value of t will the velocity of the particle be...
If the region enclosed by the y-axis, the line y=2, and the curve y=3βx (cubed rt of x), is revolved about the y-axis, the volume of the solid generated is? Can you solve without a calculator...
The base of a solid S is the region enclosed by the graph of y=βln(x-1), the line x=2e, and the x-axis. If the cross sections of S perpendicular to the x-axis are squares, then the volume of S is...
A cylindrical can hold 900 mL of tomatoes. Determine the measurements of the radius and the height that minimize the surface area of the can.
1/xβ΄ + 5xΒ² + 6 Express in partial fraction
If y= 3x + 6, what is the minimum value of (x^3)(y)?