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Provide the IUPAC name for HC≡CCH2CH2CH3.

How can food service managers obtain information for training staff on nutritional issues?

Which type of foodservice operation is required to meet nutrient guidelines for government-funded programs?

TRIGONOMETRY Question 5    Ray OP forms an angle of α to the positive x axis, 5 tan α = 12 and α  ∈  [90°; 270°]. 5.1 Draw a sketch showing ray OP in the Cartesian plane. (2) 5.2   Determine the value of each of the following trigonometric ratios without the use of a calculator.   Show each step in your calculations. 5.2.1 cos α (3) 5.2.2 tan (180° – α) (2) 5.2.3 sin (30° – α) (3)   TOTAL [10]  

TRIGONOMETRY Question 7 7.1   Sketch the following graphs for x ∈ [–180°; 180°]:

Which of the following refers to something essential to the body because it helps maintain, generate, and repair tissues?

ANALYTICAL GEOMETRY Question 1   The sketch shows triangle PQR in the Cartesian plane. The coordinates of point P are (5; 0). The angle of inclination of line PQ is 116,57°. S is the midpoint of line PQ. The length ratio OR : OP is 3 : 2.      Right click to open diagram in a new “tab”.   1.1 Determine: 1.1.1 the gradient of PQ, to the nearest integer value. (2) 1.1.2 the equation of PQ in the form . (2) 1.1.3 the distance PS in surd form. (3) 1.1.4 the coordinates of Q. (2) 1.2 Determine the coordinates of R. (2) 1.3 Calculate the area of ΔPQR. (4)   TOTAL [15]

ANALYTICAL GEOMETRY Question 2  Rectangle ABCD has vertices A(4 ; 0), B(–4 ; a), C(–6 ; 0) and D.B lies in the second quadrant. Right click to open diagram in a new “tab”.   2.1 Show that a = 4. (4) 2.2 Determine the equation of the straight line CD in the form . (4) 2.3 Calculate the coordinates of D. (4) 2.4 Calculate the length of AC. (2)   TOTAL [14]

 TRIGONOMETRY Question 6  6.1 Prove the identity: 

ANALYTICAL GEOMETRY Question 3 A trapezium with vertices P (1; 2), Q (2; –3), R (0; –5) and S (–4; p) is shown in the sketch below.  In addition, QR // PS. Right click to open diagram in a new “tab”.   3.1 Show that p = –3. (4) 3.2 Calculate PS : QR in the simplest form.  (5) 3.3 T (x; y) on PS is such that PTRQ is a parallelogram. Determine the co-ordinates of T.  (5)   TOTAL [14]