The curve y =3x²- 6x + 6 passes through the point s ( 2,3)(a)Determine the gradient function of the curve.(b) Find the co-ordinates of...

The curve y=3x²- 6x + 6 passes through the point s ( 2,3)
(a)Determine the gradient function of the curve.
(b) Find the co-ordinates of the turning point of the curve.
(c) Determine whether the point is a minima or a maxima.
(d) Find the equation of the
(i) Tangent to the curve at S.
(ii) Normal to the curve at S.

Answers

Kavungya answered the question on September 20, 2019 at 07:08

Next: The relationship between two variables S and T is given by the equation S = KTⁿ where K and n are constants. (a) Write down the...
Previous: Study the flow chart below and answer the questions that follow

View More Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

The relationship between two variables S and T is given by the equation S = KTⁿ where K and n are constants. (a) Write down the...(Solved)
The relationship between two variables S and T is given by the equation S = KTⁿ where K and n are constants.

(a) Write down the linear equation relating to S and T
(b) Hence complete the table above for the linear equation relating to S and T.
(c) Draw a suitable straight line graph to represent the data.
(d) use your graph to determine the values of K and n.
(e) find the value of S when T = 3.5

Date posted: September 20, 2019. Answers (1)
Mr. Korir bought a tractor valued at Ksh. 800,00. the value of the tractor is depreciating at 20% p.a (a) Calculate the value of the tractor...(Solved)
Mr. Korir bought a tractor valued at Ksh. 800,00. the value of the tractor is depreciating at 20% p.a
(a) Calculate the value of the tractor after 4 years.
(b) Find the time it would take for its value to be Ksh. 400,000. give you’re answer correct to 2 decimal
places.
(c) If after 4 years the tractor is sold through a broker who charge 5% commission find the amount received
by Mr. Korir from the sale

Date posted: September 20, 2019. Answers (1)
Complete the table below giving the values to 2 decimal places.(Solved)
Complete the table below giving the values to 2 decimal places.

Date posted: September 20, 2019. Answers (1)
Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when...(Solved)
Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when
Q = 20 and R = 3
Find (i) an equation connecting P, Q and R
(ii) the value of R when Q = 10 and P = 800

Date posted: September 20, 2019. Answers (1)

The sum of the first 14 of an AP is 595. Given that the sum of the first 8 terms of the same AP is...(Solved)
The sum of the first 14 of an AP is 595. Given that the sum of the first 8 terms of the same AP is 220
Find the
(i) the first term
(ii) the common difference.

Date posted: September 20, 2019. Answers (1)
The equation of a circle is x²+y²-25y=-14x+38. Determine the centre and the radius of the circle(Solved)
The equation of a circle is x²+y²-25y=-14x+38. Determine the centre and the radius of the circle

Date posted: September 20, 2019. Answers (1)
Find the exact area enclosed by the curve y=3x²,the x-axis and the line x=2 and x=4. (Solved)
Find the exact area enclosed by the curve y=3x²,the x-axis and the line x=2 and x=4.

Date posted: September 20, 2019. Answers (1)
A coffee trader buys two grades of coffee at sh. 80 and sh. 100 per parket . Find the ratio at which she should mix...(Solved)
A coffee trader buys two grades of coffee at sh. 80 and sh. 100 per parket . Find the ratio at which she
should mix them so that by selling the mixture at a sh. 120, a profit of 25% is realized.

Date posted: September 20, 2019. Answers (1)

Find the distance in kilometers between places R(40^oS,25^oW) and S(40^oS,120^oE) along the parallel of latitude(Take radius of the earth to be 6370km and p...(Solved)
Find the distance in kilometers between places R(40^oS,25^oW) and S(40^oS,120^oE) along the parallel of latitude(Take radius of the earth to be 6370km and pi = 22/7) correct to 2 d.p.

Date posted: September 20, 2019. Answers (1)
Find the expansion of (1+1/2 x)³ Hence use your expansion to obtain the value of (1.05)³. Correct to 4s.f. (Solved)
Find the expansion of (1+1/2 x)³
Hence use your expansion to obtain the value of (1.05)³. Correct to 4s.f.

Date posted: September 20, 2019. Answers (1)
The table below shows the marks obtained by Form 3 students of Rehema Secondary School in Mathematics Exam. The total numbers of students were 100.Find...(Solved)
The table below shows the marks obtained by Form 3 students of Rehema Secondary School in Mathematics Exam. The total numbers of students were 100.

Find the standard deviation of the distribution.

Date posted: September 20, 2019. Answers (1)
Solve the equation;(Solved)
Solve the equation;
Log (x²-8x+20) = Log 4 + Log (x-4)

Date posted: September 20, 2019. Answers (1)
Find the matrix of transformation that would map triangle ABC with vertices at A(-5,2), B(-3,2) and C(-3,5) onto triangle A¹B¹C¹ with vertices at A¹(-5,-2), B¹(-3,-2)...(Solved)
Find the matrix of transformation that would map triangle ABC with vertices at A(-5,2), B(-3,2) and
C(-3,5) onto triangle A¹B¹C¹ with vertices at A¹(-5,-2), B¹(-3,-2) and C¹(-3,-5).

Date posted: September 20, 2019. Answers (1)
Rationalize the following leaving your answer in the simplified surd form.(Solved)
Rationalize the following leaving your answer in the simplified surd form.

Date posted: September 20, 2019. Answers (1)
If ? is an acute angle find the value of Cos ? in the panating: 4 Sin²?-5 Cos ?+2=0(Solved)
If θ is an acute angle find the value of Cos θ in the panating:
4 Sin²θ-5 Cos θ+2=0

Date posted: September 20, 2019. Answers (1)
Give that x= 4 is a root of x²+kx-20=0. Find the value of k and thus other roots(Solved)
Give that x= 4 is a root of x²+kx-20=0. Find the value of k and thus other roots

Date posted: September 20, 2019. Answers (1)
Copy and complete the table below for the function y=4+5x-x² for -2=x=7(Solved)
Copy and complete the table below for the function y=4+5x-x² for -2≤x≤7

Date posted: September 20, 2019. Answers (1)
A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of...(Solved)
A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of plates from A are defective and 6% of the plates from B are defective.
(a) A plate is chosen by a buyer at random. Find the probability that;
(i) it is from A
(ii) it is from B and it is defective.
(iii) it is defective
(b) Two plates are chosen at random. Find the probability that:
(i) both are defective
(ii) at least one is not defective.

Date posted: September 20, 2019. Answers (1)
The points X and Y are both on latitude 39^oN. The longitude of X is 73^oW and the longitude of Y is 18^oW . Two...(Solved)
The points X and Y are both on latitude 39^oN. The longitude of X is 73^oW and the longitude of Y is 18^oW . Two ships P and Q leave X at the same time and travel to Y along the line of latitude. The ships P and Q travel at constant speeds of 25km/hr and 20km/h respectively. Taking the radius of the earth to be 6371km and π= 22/7 ;Calculate:-
(a) The distance Q still has to travel when P reaches Y.
(b) At the same time a third ship R leaves Y traveling due west at an average speed of 15km/hr.
Calculate the longitude of the point at which R meets P.

Date posted: September 20, 2019. Answers (1)
In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such...(Solved)
In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such that 2BC = 3CP. The co-ordinates of P, Q and S are (4,4), (14,4) and (4,14) respectively. Find:
(a) (i) the column vectors of PQ and PS.
(ii) co-ordinates of R
(b) Show that A, C, S are collinear.

Date posted: September 20, 2019. Answers (1)