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Question Number 39253 Answers: 0 Comments: 2

Question Number 39258 Answers: 0 Comments: 0

Question Number 39231 Answers: 1 Comments: 0

(sin^(−1) x)^2 + (sin^(−1) y)^2 + 2(sin^(−1) x) (sin^(−1) y)= π^2 ,then x^2 +y^2 is equal to?

${({s i n}^{- 1} x)}^{2} + {({s i n}^{- 1} y)}^{2} + 2 ({s i n}^{- 1} x)$ $({s i n}^{- 1} y) = π^{2}, t h e n x^{2} + y^{2} i s e q u a l t o ?$

Question Number 39222 Answers: 1 Comments: 5

Question Number 39173 Answers: 0 Comments: 0

Given that A and B are two independent Events where P(A) = (4/5) and P(A ∪ B) = ((13)/5) . find a) P(A∩B) b) P(A∣B). hence draw tree Diagram for each posible out come

$G i v e n t h a t A a n d B a r e t w o$ $i n d e p e n d e n t E v e n t s$ $w h e r e P (A) = \frac{4}{5} a n d$ $P (A \cup B) = \frac{13}{5} .$ $f i n d a) P (A \cap B)$ $b) P (A ∣ B) .$ $h e n c e d r a w t r e e D i a g r a m$ $f o r e a c h p o s i b l e o u t c o m e$

Question Number 39172 Answers: 1 Comments: 1

find the angle between 3i − 4j and i − j

$f i n d t h e a n g l e b e t w e e n$ $3 i - 4 j a n d i - j$

Question Number 39171 Answers: 1 Comments: 0

Given that y = 3x^4 and x increases at the rate of 34% . find the percentage increase in y. [hint: using Bionomial method]

$G i v e n t h a t$ $y = 3 x^{4} a n d x i n c r e a s e s$ $a t t h e r a t e o f 34 % .$ $f i n d t h e p e r c e n t a g e i n c r e a s e$ $i n y .$ $[h i n t : u s i n g B i o n o m i a l$ $m e t h o d]$

Question Number 39166 Answers: 1 Comments: 1

Find the value of k if (2,k) ,(3,4) and (6,4) are collinear. hence find the equation on the line 3i − j with the above points

$F i n d t h e v a l u e o f k i f$ $(2, k), (3, 4) a n d (6, 4) a r e$ $c o l l i n e a r .$ $h e n c e f i n d t h e e q u a t i o n o n$ $t h e l i n e 3 i - j w i t h t h e a b o v e$ $p o i n t s$

Question Number 39170 Answers: 0 Comments: 0

Find the value of k if (d/dx)(f(x))= 6 when x = −1 and f(x) = 3x^3 − kx^2 + 1 if f(2) = 8 find one factor of f(x) and hence Evaluate lim_(x→∞) (f(x)).

$F i n d t h e v a l u e o f k i f$ $\frac{d}{d x} (f (x)) = 6 w h e n x = - 1$ $a n d f (x) = 3 x^{3} - {k x}^{2} + 1$ $i f f (2) = 8 f i n d o n e f a c t o r o f$ $f (x) a n d h e n c e E v a l u a t e$ $\underset{x \to \infty}{l i m} (f (x)) .$

Question Number 39127 Answers: 0 Comments: 1

Given the lines l_1 : x + y = 5 and l_2 : y = 4x and l_3 ; 4x + y − 1 =0 show that l_(2 ) is perpendicular to l_3 . find the point coordinates if x + 2y = 5 is colliner to l_1

$G i v e n t h e l i n e s$ $l_{1} : x + y = 5 a n d l_{2} : y = 4 x$ $a n d l_{3}; 4 x + y - 1 = 0$ $s h o w t h a t l_{2} i s p e r p e n d i c u l a r$ $t o l_{3} .$ $f i n d t h e p o i n t c o o r d i n a t e s$ $i f x + 2 y = 5 i s c o l l i n e r t o l_{1}$

Question Number 39144 Answers: 1 Comments: 0

f(x) = 3x^3 − 2x + k has factor (x − 1) find the value of k. with these value evaluate a) (d/(dx ))(f(x)_ ) b) ∫_5 ^2 (f(x))

$f (x) = 3 x^{3} - 2 x + k h a s$ $f a c t o r (x - 1)$ $f i n d t h e v a l u e o f k .$ $w i t h t h e s e v a l u e$ $e v a l u a t e$ $a) \frac{d}{d x} (f {(x)}_{})$ $b) \int_{5}^{2} (f (x))$

Question Number 39021 Answers: 0 Comments: 0

calculate A_n = ∫_0 ^1 sin(narctanx)dx with n integr natural. 2) find nature of Σ_n A_n

$c a l c u l a t e A_{n} = \int_{0}^{1} s i n (n a r c t a n x) d x w i t h n i n t e g r n a t u r a l .$ $2) f i n d n a t u r e o f \sum_{n} A_{n}$

Question Number 39013 Answers: 0 Comments: 1

Given the matrices A = ((3,5),(2,4) ) and I = ((1,0),(0,1) ) find matrix B if BA= I find A′ the reflection on the line y = x and A′′ the enlargement with matrix (((2 0)),((0 2)) ).

$G i v e n t h e m a t r i c e s$ $A = (\begin{matrix} 3 & 5 \\ 2 & 4 \end{matrix}) a n d I = (\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix})$ $f i n d m a t r i x B i f$ $B A = I$ $f i n d A^{'} t h e r e f l e c t i o n o n t h e$ $l i n e y = x a n d A^{″} t h e e n l a r g e m e n t$ $w i t h m a t r i x (\begin{matrix} 2 0 \\ 0 2 \end{matrix}) .$

Question Number 39003 Answers: 2 Comments: 0

Question Number 38996 Answers: 1 Comments: 1

a line with equation y = 2x + 5.the point (1,7) lie on this line.find the distance between this line and the line joining (2,3) and (6,7).

$a l i n e w i t h e q u a t i o n$ $y = 2 x + 5 . t h e p o i n t (1, 7)$ $l i e o n t h i s l i n e . f i n d t h e$ $d i s t a n c e b e t w e e n t h i s l i n e$ $a n d t h e l i n e j o i n i n g$ $(2, 3) a n d (6, 7) .$

Question Number 38957 Answers: 1 Comments: 1

solve for x e^(2x) + 2e^x + 1 = 0

$s o l v e f o r x$ $e^{2 x} + 2 e^{x} + 1 = 0$

Question Number 38910 Answers: 1 Comments: 0

Given a polynomial f(x) where f(x) = x^3 + ax^2 + 3x + b and ( x− 1) is a factor of f(x) and f ′(x)= 12 at point ( 2,4) find the values of a and b hence factorise f(x) completely

$G i v e n a p o l y n o m i a l f (x) w h e r e$ $f (x) = x^{3} + a x^{2} + 3 x + b$ $a n d (x - 1) i s a f a c t o r o f f (x)$ $a n d f^{'} (x) = 12 a t p o i n t (2, 4)$ $f i n d t h e v a l u e s o f a a n d b$ $h e n c e f a c t o r i s e f (x) c o m p l e t e l y$