This discussion is now closed.

Check out other Related discussions

- C3
- Edexcel A2 Mathematics: Core Mathematics C4 6666 01 - 22 June 2018 [Exam Discussion]
- Edexcel c3 differentiation - help
- Isaac physics SPC 2022
- A level maths UMS marks!!!
- Isaac Senior Physics Challenge 2024
- Senior Physics Challenge 2022
- best way to revise maths
- Senior Physics Challenge Isaac Physics
- When do we know if I've got into year 3?
- Differentiate
- GCSE Biology
- Differentiation
- Maclaurin Series Question
- a level maths differentiation product rule question
- Does anyone know a sheet with all the differentiated and integrated functions?
- Differentiation
- Maths Problem
- Higher maths!!
- Numbers of Arrangements

heyy can someone explain hw to do these questions?

1) find the minimum value of y= tanx-8sinx which is given by a value of x between 0 and pi/2

answer is -3√3

2) show that for x is bigger than 0 but smaller than pi/2, f(x)=xsinx+cosx is an increasing function.

3) find the co-ords of the stationary points on the curve y=sinx + cosx

state which is maximum and minimum.

answer: (pi/4,√2) = maximum, (5pi/4, -√2) = maximum

thanks guys

1) find the minimum value of y= tanx-8sinx which is given by a value of x between 0 and pi/2

answer is -3√3

2) show that for x is bigger than 0 but smaller than pi/2, f(x)=xsinx+cosx is an increasing function.

3) find the co-ords of the stationary points on the curve y=sinx + cosx

state which is maximum and minimum.

answer: (pi/4,√2) = maximum, (5pi/4, -√2) = maximum

thanks guys

Fizzle

heyy can someone explain hw to do these questions?

1) find the minimum value of y= tanx-8sinx which is given by a value of x between 0 and pi/2

answer is -3√3

2) show that for x is bigger than 0 but smaller than pi/2, f(x)=xsinx+cosx is an increasing function.

3) find the co-ords of the stationary points on the curve y=sinx + cosx

state which is maximum and minimum.

answer: (pi/4,√2) = maximum, (5pi/4, -√2) = maximum

thanks guys

1) find the minimum value of y= tanx-8sinx which is given by a value of x between 0 and pi/2

answer is -3√3

2) show that for x is bigger than 0 but smaller than pi/2, f(x)=xsinx+cosx is an increasing function.

3) find the co-ords of the stationary points on the curve y=sinx + cosx

state which is maximum and minimum.

answer: (pi/4,√2) = maximum, (5pi/4, -√2) = maximum

thanks guys

1) y'=sec^2x-8cos(x)

=1-8cos^3(x)/cos^2x

this equals 0 when

cos^3(x)=1/8

cos(x)=1/2

so x=pi/3

at this value y=rt(3)-8(rt(3)/2)=rt(3)-4rt(3)=-3rt(3).

2) f'(x)=sinx+ xcosx -sinx= xcosx

on the given interval x is non-zero and cosx is non-zero hence f'(X) is non-zero. Thus f(x) has no turning points so is either increasing or decreaing.

f(pi/4)<f(pi/3) and pi/4<pi/3 so it is increasing.

3)

f'(x)=cos x-sinx

this is zero when cos x=sinx ie tanx =1

giving x=pi/4 and x=5pi/4

y=rt(2) y=-rt(2)

f''(x)=-cosx-sinx

f''(pi/4)=-2/(rt(2))<0 so this point is a maximum

f''(5pi/4)=2/(rt(2)>0 so this point is a minimum

Fizzle

cheers, dont understand some points but ill ask my teacher!

what points ? i could try and help.

- C3
- Edexcel A2 Mathematics: Core Mathematics C4 6666 01 - 22 June 2018 [Exam Discussion]
- Edexcel c3 differentiation - help
- Isaac physics SPC 2022
- A level maths UMS marks!!!
- Isaac Senior Physics Challenge 2024
- Senior Physics Challenge 2022
- best way to revise maths
- Senior Physics Challenge Isaac Physics
- When do we know if I've got into year 3?
- Differentiate
- GCSE Biology
- Differentiation
- Maclaurin Series Question
- a level maths differentiation product rule question
- Does anyone know a sheet with all the differentiated and integrated functions?
- Differentiation
- Maths Problem
- Higher maths!!
- Numbers of Arrangements

Latest

Trending