Enable contrast version

# Tutor profile: Geovani I.

Inactive
Geovani I.
Tutor for High School & College Students, Application Engineer
Tutor Satisfaction Guarantee

## Questions

### Subject:Basic Math

TutorMe
Question:

evaluate the following expression, 7x8 + (24/8 x 4)

Inactive
Geovani I.

let us recall the following, PEMDAS; Parentheses Exponents Multiplication Addition Subtraction remember that if you have multiplication and division inside the parentheses, do whatever comes first from left to right. so to evaluate the problem we first have to divide 24 by 8 which will give us the following 7x8+(3x4) now we have to multiply 3 times 4 because they are still in side the parentheses, so we get the following 7x8 + 12 now we multiply 7 times 8 because it is multiplication and then we add the result with 12 and get the final answer of 68 56 + 12 = 68

### Subject:Calculus

TutorMe
Question:

find the first, second and the derivative of the following function, y = 5x^3

Inactive
Geovani I.

remember, to find the derivative a polynomial we can use the following rule. y = x^a where a is any real number greater than 0 to find the first derivative we use the following rule y'= a X^(a-1) to find the second derivative we take the derivative of the first derivative, y'' = a (a-1) X^(a-2) if we want to get the third derivative, we take the derivative of the second derivative, y''' = a (a-1) (a-2) X^(a-3) let us apply these rules to our original function, first derivative will be y' = 15x^2 + 2x +1 second derivative will be y'' = 30x + 2 third derivative will be y''' = 30

### Subject:Differential Equations

TutorMe
Question:

Solve the ordinary differential equation (ODE) dx/dt = 5x-3 for x(t)

Inactive
Geovani I.

let us rearrange the equation with their respective variables, dx/(5x-3) = dt if we integrate both sides we get the following, 1/5 ln(5x-3) = t + C1 let us multiply by 5 across the whole equation to get rid of the fraction on the left side, by doing that we get the following, ln(5x-3) = 5t+5C1 now in order for us to get rid of the natural log (ln) we can take the exponent on both sides of the equation, if we do it we get the following, 5x-3 = e^(5t+5C1) let us not forget that we are finding a solution for x(t), so lets add 3 to both sides of the equation and then divide by 5, by doing so we get the following, x = (1/5)e^(5t+5C1) + (3/5) in order to simplify this, if we recall we can split the exponent e^(5t+5C1) into the following e^(5t) * e^(5C1) , with this we can let C = 1/5 e^(5C1) since our exponential has constants, we will end up getting our final equation, x(t) = Ce^(5t) + 3/5, where C = 1/5 * e^(5C1)

## Contact tutor

Send a message explaining your
needs and Geovani will reply soon.
Contact Geovani

Start Lesson

## 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 Lesson" 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.
BEST IN CLASS SINCE 2015
TutorMe homepage