Question

The curve C has equation

y = x + ax? + bx + 8
where a and b are constants.
The gradient of C at the point (2,6) is 9.8
Find the value of a and the value of b.
Show clear algebraic working.

Answer 1

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✏️A=1,4

B=7,8

Y=×3+aײ➪b×➪8

according to the question,when:

×=2

Y=b

Y'=9,8

<b=8➪<a➪2b+8

|9,8=12➪<a+b

<a=1,4

➪ |b=7,8