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Solve: 3^(x^2-5x+2)=9^(x+1)

Considering that: 9=3^2. We get: 9^(x+1)=3^2*(x+1)= 3^(2x+2). We thus solve x^2-5x+2=2x+2 which is x=0 and x=7 it will be demonstrated with more detail during the session
PV
Answered by Petros V. • Maths tutor
3401 Views

Prove that 12 cos(30°) - 2 tan(60°) can be written as √k where k is an integer, state the value of k.

Conversion of trigonometric functions: cos(30°) = √3 / 2 tan(60°) = √3 Computing equation with trigonometric substitutions: 12 cos(30°) - 2 tan(60°) = 12 (√3 / 2) - 2 (√3) = (12 / 2) x √3 - 2√3 = 6√3 - 2√3 =...
ND
Answered by Nic D. • Maths tutor
8435 Views

How do you know when to use sin, cos and tan?

First draw the triangle and label all the information you have as well as the unknown angle or side length. There should be at least one angle labelled with some informtion - use this angle to label the oppo...
AW
Answered by Anna W. • Maths tutor
116175 Views

Find the indefinite integral of 3x - x^(3/2) dx

To find the integral of a function you must first incease the power of x by one then divide to coefficient by the new power. So, by increasing the powers first you get 3x^2 - x^(5/2) and then dividing by the...
AJ
Answered by Alex J. • Maths tutor
5690 Views

differentiate the following to find the equation for the gradient of the curve in terms of x and y: 3x^3 + 4x^2 + 5xy + 7y = 0

9x^2 + 8x + 5y +5xdy/dx + 7dy/dx = 0 9x^2 + 8x + 5y = dy/dx(-5x - 7) dy/dx = - (9x^2 + 8x +5y)/(5x + 7)
HP
Answered by Hew P. • Maths tutor
4411 Views