Pre Calc Questions Examples

Introduction to pre calc questions examples:-

Pre calculus referred to both differential and integral calculus. To solve calculus problems, we need to remember the formulas. In online, students are able to get tutors help with any math (calculus) topics.In this article helps to improve the calculus skills also.Online assist students to learn the concept speedily and easily, learning online make student believe the subject effortless and enjoyable.Tutor is a person who teaching a student.

Example Problems - Pre Calc Questions Examples:-

Pre calc questions examples problem 1:-

Integrate the known expression with respect to 'x: int 12x^4 - 11x^5 dx'

Solution:

Given' int 12x^4 - 11x^5 dx.'

Step 1:-

'int 12x^4- 11x^5 dx = int 12x^4 dx. - int 11x^5 dx.'

Step 2:-

'= int 12x^4dx. - 11 int x^5 dx.'

Step 3:-

'= (12x^5)/ (5) - (11x^6)/ (6) + c.'

Step 4:-

'int 12x^4 - 11x^5 dx = (12x^5)/ (5) - (11x^6)/ (6) + c.'

Answer:

'int 12x^4 - 11x^5 dx = (12x^5)/ (5) - (11x^6)/ (6) + c'

Pre calc questions examplesproblem 2:-

Integrate the known exponential function: ' int tan x + e^ (2x) dx'

Solution:

Step 1:-

'int tan x + e^ (2x) dx = int tan x dx + int (e^2x) dx'

'= int tan x dx + e^ (2)/ (2)'

Step 2:-

'= - log (cos x) + e^ (2)/ (2) + c'

Answer:

'- log (cos x) + e^ (2)/ (2) + c'

Pre calc questions examples problem 3:-

Find the inverse of' f(x) = 3tan (3x+4)'

Solution:

'x = 3tan (3y+4)'

Step 1:-

'x/3 =tan(3y+4)'

Step 2:-

'tan^-1(x/3)= 3y + 4'

Step 3:-

'tan^-1(x/3)- 4 = 3y'

Step 4:-

'(tan^-1(x/3)-4)/ (3) =y'

Step 5:-

'f^-1 (x) = (tan^-1(x/3)-4)/ (3)'

Pre calc questions examples problem 4:-

Find the inverse of 'f(x) = 4sin (4x-9)'

Solution:

'x = 4sin (4y-9)'

Step 1:-

'x/4 = sin (4y-9)'

Step 2:-

'sin^-1(x/4) = 4y -9'

Step 3:-

'(sin^-1(x/4) +9)/ (4) = y'

Step 4:-

'f^-1(x) = (sin^-(x/4)+9)/(4).'

Pre calc questions examples problem 5:-

Find the inverse of' f(x) = 4tan (3x+4)'

Solution:

'x = 4tan (3y+4)'

Step 1:-

'x/4 =tan(3y+4)'

Step 2:-

'tan^-1(x/4)= 3y + 4'

Step 3:-

'tan^-1(x/4)- 4 = 3y'

Step 4:-

'(tan^-1(x/4)-4)/ (3) =y'

Step 5:-

'f^-1 (x) = (tan^-1(x/4)-4)/ (3)'

Practice Problems - Pre Calc Questions Examples:

Problem 1:

Find the inverse of' f(x) = 5tan (3x+4)'

'f^-1 (x) = (tan^-1(x/5)-4)/ (3)'

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Problem 2:

Find the inverse of' f(x) = 6tan (3x+4)'

'f^-1 (x) = (tan^-1(x/6)-4)/ (3)'

Problem 3:

Find the inverse of' f(x) = 7tan (3x+4)'

'f^-1 (x) = (tan^-1(x/7)-4)/ (3)'

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