<em><u>Option A</u></em>
<em><u>The solution is:</u></em>
<em><u>Solution:</u></em>
We have to solve the equation f(x) = 0
Let f(x) = 0
Solve the above equation
Take square root on both sides
Thus the solution is found
Divide 296 by 16 you get 18.5 then add the 5.75 to get 24.25
So the answer is 24.25
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
The short hand on the 2 and the long hand on the 10
1. x=4+y-2z (move all terms not containing x to the right side of the equation) ; y= -4x + x + 2z (isolate) ; z= 2 - x/2 + y/2 (isolate)
2. y= 1/4x + 17/2 (slope intercept form)
3. x= -32/5 + 3y/5 + 2z ; y=32/3+5x/3-10z/3 ; z= 16/5+x/2 - 3y/10 (isolate the variable by dividing each side by factors that don’t contain variable)
