9 Maths questions high school/a level

Dec 9th, 2015
Anonymous
Category:
Engineering
Price: $10 USD

Question description

Question 1

Find the gradient, x-intercept and y-intercept of the line

7 y minus x + 7 = 0.

Give your answers exactly, as integers or single fractions.

The gradient is

The x-intercept is

The y-intercept is

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Question 2

6 q cubed minus 16 q squared + 10 q = 0
giving your answers exactly, as integers or single fractions.

The solutions are q =

q =

and q =

There should be 3 answers.

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Question 3

Suppose that f ( x ) = minus 3 + 3 x and g ( x ) = square root of 3 + 4 x .
Find the rule of the composite function f composite function (small circle) g . 

[Remember that, for example, you can input square root of x by typing sqrt(x) ]

( f composite function (small circle) g ) ( x ) =

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Question 4 

Find the rule of the inverse of the function f ( x ) = 7 x + 7.

f to the power minus 1 ( x ) =

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Question 5

Simplify the expression ln ( e to the power 2 x + 3 ) + 4 ln ( e to the power 6 x + 1 ).

Expand brackets and gather like terms in your answer, but do not take out any common factors.

ln ( e to the power 2 x + 3 ) + 4 ln ( e to the power 6 x + 1 ) =

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Question 6

Solve the equation 2 e to the power 4 x = 17.

Give your answer as a decimal number to three significant figures.

x =

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Question 7

The  triangle A B C has angle C = 70 to the power composite function (small circle), angle A = 85 to the power composite function (small circle) and side a of length  9.4.

Find the length of side c. Give your answer as a decimal number to one decimal place.

c =

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Question 8

The angle C in triangle A B C is  20 to the power composite function (small circle),  and the lengths of two sides are a = 19.6 and b = 8.4.

Find  the length of side c. Give your answer as a decimal number to one decimal place.

c =

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Question 9

Use an appropriate half-angle identity to find the exact value of sin ( ( 3 small pi over 8 ) ).

Give your answer exactly, as a numerical expression involving surds and fractions.

To enter, for example,  square root of x type sqrt(x)

sin ( ( 3 small pi over 8 ) ) =



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