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Rewrite y=7x-2 using function notation.

The gradient of the tangent to a curve y=ax^2+bx at the point (2,8)is the parallel to x-axis. Find the values of a and b.

The area,Acm^2, of a blot of ink is growing such that after t seconds,it is given by A=3t^2+1/5t. Find the rate at which the area is changing after 2 seconds.

Find the coordinates of a point on the curve y=6-x^2 at which the tangent of the curve at the point is perpendicular to the line y=1/4x+1.

Find the equation of the tangent to the curve y=1/2x^2-4x-3at the point where the curve intersects the y-axis.

Write a short reflective writing about communication in 250 words

Mr. Edward is going shopping for new pants and shirts, The sales tax where he lives is 6.25% He gets a $2 0ff coupons for every $20 he spends at the mall. How much would Mr.Edward need to spend to get $12 off in coupons?

Mrs lee is four times as old as her son. Her son is 36 years old younger than her. How many years ago was mrs lee seven times as old as her son

A train starts from rest from station P and accelerates uniformly for 2 minutes reaching a speed of 60 km/hr. It maintain this speed 10 minutes and then retards uniformly for 3 minutes to comes to rest at station Q find; a) The distance in PQ in km b) The...

Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability of a number which is a perfect cube.

A 10-year bond with a 5% coupon and a 1million VND par value is currently priced at 821,000VND. a. If the current market interest rate is 8%. Should you buy the bond? Why or why not? b. Assuming you buy and hold this bond for 6 years. What price must you...

Irrational