Differentiation

The curve y = ax2(ax sqaured) + bx passes through the point (2, 4) with gradient 8. Find a and b I have the answer but do not understand how to get to it. Therefore, could you please show full workings. Many thanks.

Coordinate Geometry : Triangles, Lines through Triangles and Finding a Point That forms a Right Triangle

The points A(-1, -2), B(7, 2) and C(k, 4), where k is a constant are the vertices of traingle ABC. Angle ABC is a right angle. 1. Calculate the value of k 2. Find the exact area of traiangle ABC 3. Find the equqtion for the stright line l passing therough B and C. Give your answer in the form of ax + by = c = 0 , where a, b ...continues

Shear stress problem

Shear stress problem -------------------------------------------------------------------------------- My answer to question 5 is wrong, can you correct? PCD = pitch circle diameter Factor of safety = ultimate tensile stress / safe working stress

Functions and Graphs (4) Problems

(See attached file for full problem description with diagrams) --- (1) A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high. All sides of the backstop including ba ...continues

Geometry

Exactly how many minutes is it before eight o'clock, if 40 minutes ago, it was three times as many minutes past four o'clock?

Geometry Application Word Problems : Tubing for Backstop, Area of Circle in a Square, Perimeter of Courtyard, Volume of Air around Three Tennis Balls in a Can

1. A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high. All sides of the backstop including base and the center pole are to be made of aluminum tubing. How many feet ...continues

How many angles (with measures less than 180°) are formed when 100 rays are drawn from point P?

1. Consider a point P When one ray is drawn from the point P. there are no angles formed. When two rays are drawn, one angle (if we only count angles with measures less than 180°) is formed. How many angles (with measures less than 180°) are formed when 100 rays are drawn from point P? Show all work.

Count Rectangles : How many rectangles are in.....

Count Rectangles : How many rectangles are in.....

Algebra Word Problem : How many days before 17th August is it, if 50 days ago, it was four times as many days since March 30th?

How many days before 17th August is it, if 50 days ago, it was four times as many days since March 30th?

Slope

What is the slope of the line passing through the two points (2,3) (0,6)?