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1. The sum of the first 4 terms of an arithmetic sequence is 34 and the sum of the next 4 terms is 146. Find the sum of the 9th and 10th terms. 2. The rungs of a ladder decrease uniformly in length from 40cm at the bottom runf to 30cm at the top of rung. How many rungs are there if their...

1. The perimeter of a circular sector is 20cm. The radius is increasingf at the rate of 5cm/s. At what rate is the angle of the sector changing when the radius length is 10cm?Also at what rate is the arta changing when the rdaius length is 10cm? 2. A ladder 5m long has its upper end against a...

1 a spherical ballon is being inflated with air at a rate of 100cm^3/min. At what rate is the radius of the sphere increasing when the radius is 5cm? 2. Water is being poured into an inverted conical vessel whose apex aqngle is 90 degees and at a constant rate of 3cm^3/second. At what rate is...

the normal to the curve y=(x + 2) squared at the point A(-3,1) meets the curve again at B. Find: a)the equation of the normal b)coordinates of B c)angle at B and between the curve and the chord Ab

Find the equations of the tangent to the parabola y = 4x - 3x squared at the points where the parabola cuts the x axis How do i find out the points were the parabola cuts the x axis or even y axis??????

I am given the straight line y=x+2 cuts the parabola y=1/2x squared -2 at points P and Q. How do i find the coordinates of P and Q????????

its a calculus related problem i am given the parabola and need to find the equation of the tangent and normal to the parabola at the point of zero gradient. What is the point of zero gradient?

I need to find the equations of the tangent and normal to the curve and i am given Y= 2x squared - 4x +1, where the gradient is 4 How do find the points to work out question and how do you work backwards from gradient to individual pts??????????

the question is sketch the graph of the following (y=x + 1 / x squared +2x) locating any staionary pts and asymptopes. i found that there were no stationary pts and could not undersatnd how to grpah the solution in between the asymtopes as there were no stat pts. Help needed ASAP if anyone...

1. A rectangular box whose base is square is to be made so that its total surface area is constant. Prove that the volume of the box is greatest if the box is a cube. 2. Find the dimensions of the largest rectangle that can be inscribed in the semicircle y= route 4 - x squared 3. The...

A piece of wire of length 50cm is cut into 2 sections. One section is used to construct a rectangle whose dimensions are in the ratio 1:3; the other section is used to construct a square. Find the dimensions of the rectangle and the square so that the total enclosed area is minimum. Help...

yes thats correct

help with Trig equations - General Solutions Find the general solutions to the following: 1. sin3x + sinx = 0 2. cos4x + cos2x = 0 3. sec2x = cosec2x 4. sin2x + sin4x = sin3x i am in desperate need of help

Help needed for some max / min questions 1. A piece of wire of length 30cm is cut into 2 sections. Each section is then bent into the shape of a square. Find the smallest possible value of the sum of the areas of the two squares. 2. A closed box in the shape of a cuboid, the length of whose...

A rectangular block, the length of whose base is twice the width, has a toatl surface area of 300cm squared. Find the dimensions of the block if it is of maximum volume? Need help desperately