TutorMe homepage

SIGN IN

Start Free Trial

Kenny F.

Graduating engineering student at OSU

Tutor Satisfaction Guarantee

Physics (Fluid Mechanics)

TutorMe

Question:

water that is treated as an in compressible fluid at room temperature enters a nozzle who's inlet area is 0.5 meters and outlet area is 0.1 meters at a constant flowrate of 15 cubic meters/second what is the exit velocity of the nozzle in meters/second ?

Kenny F.

Answer:

first we define flow rate Q=A*V=Ai*Vi=Ao*Vo since the flow rate is given as Q=15 and the Ai= 0.5 Vi=Q/Ai=15/0.5= 30 meters/ second so Vo=(Ai/Ao)*Vi= (0.5/0.1)*30= 150 meters/second.

Calculus

TutorMe

Question:

Take the derivative and integral of the following function y=3(x^5)+2(x^4)+(x^3)+5)x^2)+9x+7

Kenny F.

Answer:

the derivative dy/dx=(3*5)(x^(5-1)))+((2*4)(x^(4-1)))+3x^(3-1)+((5*2)(x^(2-1)))+9(x^(1-1))+0=15x^4 +8x^3 + 3x^2 + 10x +9. the integral is Y= (3/(5+1))x^(5+1) +(2/(4+1))x^(4+1) +(1/(3+1))x^(3+1) +(5/(2+1))x^(2+1) + (9/(1+1))x^(1+1) +(7/(0+1))x^(0+1)= 0.5x^6 + 0.4x^5 + 0.25x^4 + 1.67x^3 + 4.5x^2 + 7x

Algebra

TutorMe

Question:

A line passes through the following points (4,7) and (8,2) what are the equation of the line in both slope intercept and point slope form and the x and y intercepts.

Kenny F.

Answer:

first you have to calculate the slope(m) of the function by taking the change in the y(dy) and divide it by the change in the x(dx) dy=2-7=-5, dx=8-4=4, m=dy/dx=-5/4=-1.5 point slope equation is y-7=m(x-4) or y-7=-1.25(x-4) slope intercept for solve for y so y= -1.25x+5+7=-1.25x+12 so y intercept is 12 and the x intercept is x= -12/-1.25= 12*(4/5)=48/5=9.6

Send a message explaining your

needs and Kenny will reply soon.

needs and Kenny will reply soon.

Contact Kenny

Ready now? Request a lesson.

Start Session

FAQs

What is a lesson?

A lesson is virtual lesson space on our platform where you and a tutor can communicate.
You'll have the option to communicate using video/audio as well as text chat.
You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.

How do I begin a lesson?

If the tutor is currently online, you can click the "Start Session" button above.
If they are offline, you can always send them a message to schedule a lesson.

Who are TutorMe tutors?

Many of our tutors are current college students or recent graduates of top-tier universities
like MIT, Harvard and USC.
TutorMe has thousands of top-quality tutors available to work with you.

Made in California

© 2019 TutorMe.com, Inc.