MAOO

Advanced Mathematics

200

The area of function is given by A=3w³*2t. Solve for w in terms of A and t

cube root of (A/6t)

400

If p(x)= (1/2)^x and q(x)=x²+5. What is the value of          q(1/p(2)+2)

41

600

If p(x)=-x+3 and g(x)=x-1 and they intersect at point (v,2w). Find 3v + 2w

7

800

In the system of linear equations a and b are constants. What is a/b if the system has infinitely many solutions?

3x-5y=8 AND ax+by=-24

-9/15

1000

For what value of c does 3x²-12x+c have only one real solution?

12

Algebra

200

3x+5=20 Solve for x

5

400

If y=x²-5x+6 what are the x-intercepts

2 AND 3

600

Find a linear equation thats perpendicular to the line y=-x/2+3 and passes through the point (2,6)

y=2x+2

800

If x+1/x=3. Then what is x²+1/x² equal to

7

1000

2^-x+1=256^x-5 Solve for x 

41/9

Geometry

200

In a right-angled triangle, the two shorter legs measure 6 cm and 8 cm. What is the length of the hypotenuse?

10

400

One angle of a parallelogram measures 40. What is the measure of its consecutive (adjacent) interior angle?

140

600

What is the sum of the interior angles of a regular heptagon?

900

800

Triangle A has side lengths of 6, 8, and 10. Triangle B is similar to Triangle A, and its shortest side is 9. What is the perimeter of Triangle B?

36

1000

A square has a side length of 6 cm. A circle is circumscribed around the square so that it touches all four vertices. What is the area of the region inside the circle but outside the square?

18π−36

Calculus

200

Find the limit as x approaches 3 of (x²-4x+1)

-2

400

Find f'(3) of 5x³-5x

130

600

Find f' of f(x) where f(x)=e^2xcos(x)

2e^2xcos(x)-e^2xsin(x)

800

Find f'(x) of f(x) if f(x)=5x³+sin(3x)+e⁷

15x²+3cos(3x)

1000

If f(x) is equal to the integral from 0 to x^2 of sin(t²)dt whats f'''(x)

40x³cos(x⁴)-32x⁷sin(x⁴)