In April 2024
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1) find the maximal intervals of monocity of the function f(X)=Ex+3/ X2+2x+6
2) find the integral 6.x3.ex2+2dx
3) find the general solution of the differential equation X2+1+y' .cos(y)=0
Find the initial speed which a projectile must be subjected to give it a maximum horizontal range of 490m. Assume the acceleration due to gravity as g=10m/s
if the demand fuction a commodity is Q=40-0,2P fixed cost are R1 000 and variable cost are R15 per unit procedure then profit function in terms of P is
Below are five test items, each belonging in one of the four cognitive levels of CAPS: knowledge, routine procedure, complex procedure or problem solving. Indicate in each case to what cognitive level the question belongs:
(a) What is the temperature difference between 17°C maximum – 3°C minimum?
(b) Ben walks to school in 48 minutes. Nomsa goes by bicycle in half the time that Ben walks. Koki goes by taxi in half the time that Nomsa goes by bicycle. At what time do they all start at home if they all arrive at school at 07:15?
(c) How many centimeters are in a meter?
(d) What is the mode of the data set below:
5; 6; 1; 4; 7; 3; 8; 2; 4; 3; 8; 9; 4; 6; 1; 2; 6; 5
(e) Calculate the area of the darker shaded outer part below. The larger rectangle is 15cm long and 9cm wide; the sides of the smaller square are 5cm each.
Name and explain in details at least 5 pre maths concepts learners need to be able to master in their Grade R year.
2. For a two-dimensional flow, the velocity potential function given by x2 − y2 calculate the stream function
A ball is thrown vertically upward with a speed of 7.1 m/s. Find:
(9 points)
a. Maximum height reached the ball
b. Its time of flight
c. Velocity the ball would return to its starting point
In grade R to 2, learners are taught the language of position where they describe the position of one object in relation to the other. Plan a short guided activity where learners' knowledge of this aspect is reinforced. Structure your response as follows: . State the Grade you chose and the outcome of the activity . Provide a description of the activity
. State three stimulating questikns you will ask your learners.
State the apparatus/pictures that will be used and explain how these will be used.
Essay Writing: Answer the question comprehensively.
What are the important concepts in integrated art production? Give at least 5 concepts.
Assignment 1: Application of static fluid principles
Gold, whose mass is 20 Kg is in kerosene having an
upward force of 30 N. If the acceleration due to gravity is
10 m/s2 and the density of kerosene is 800 Kg/m3,
then determine the density of gold.
