The gradient ofy= 3x\(^2\) + 11x + 7 at P(x.y) is -1. Find the coordinates of P.
(-3, -2)
(-2,-3)
(-2,3)
(2,2)
Correct answer is B
y= 3x\(^2\) + 11x +7;
dy/dx = 6x + 11= -1;
6x = -12;
x=-2
y= 3x\(^2\) + 11x + 7
At x-2,
y= 3(-2)\(^2\) +11(-2) + 7
= 12 - 22 + 7= -3
p(x, y) = (-2,-3)
A. 12/91 B. C. D.
12/91
16/91
30/91
32/91
Correct answer is D
Total balls = 8+4+2= 14
n(R) = 8, n (B) =4, n(G) = 2
Without replacement, it is p(RB) or p(BR)
= (8/14 x 4/13) + (4/14 + 8/13) = 16/91 + 16/91
= 32/91
Consider the following statements:
X: Benita is polite
y: Benita is neat
z: Benita is intelligent
Which of the following symbolizes the statement: "Benita is neat if and only if she is neither polite nor intelligent"?
y⟺ ~x v z
y⟺ ~x v ~z
y⟺ ~x ^ ~z
y⟺ ~x ^ z
Correct answer is C
No explanation has been provided for this answer.
If 2i +pj and 4i -2j are perpendicular, find the value of p.
2
3
4
5
Correct answer is C
(2i + pi) (4i - 2j) =0
2 x 4 - p x 2=0 ;
8-2p = 0; 2p-8;
p=4
If √5 cosx + √15sinx = 0, for 0° < x < 360°, find the values of x.
30° and 150°
150° and 210°
150° and 330°
210° and 330°
Correct answer is C
√5 cosx + √15sinx = 0;
√5 (cosx + √3sinx) = 0
cosx = -sinx√3; \(\frac{sinx}{cos}\) = \(\frac{-1}{√3}\)
tanx = \(\frac{-1}{√3}\); x = 150° or 330°
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