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Question Number 39766 Answers: 0 Comments: 0

Question Number 39765 Answers: 0 Comments: 0

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Question Number 39756 Answers: 1 Comments: 1

A force F = 2t i + 5j acts on a particle of mass 2kg. find the velocity and the magnitude of the impulse that acts on the particle within the time range 1s ≤ t ≤ 3s

$A f o r c e F = 2 t i + 5 j a c t s o n$ $a p a r t i c l e o f m a s s 2 k g . f i n d$ $t h e v e l o c i t y a n d t h e m a g n i t u d e$ $o f t h e i m p u l s e t h a t a c t s o n$ $t h e p a r t i c l e w i t h i n t h e t i m e$ $r a n g e 1 s ⩽ t ⩽ 3 s$

Question Number 39700 Answers: 0 Comments: 1

given that f(x)= x^3 − 3x^2 + ax + b and (x−1) is a factor of f(x) also the maximum value of f(x) at poin where x = 1 is 12 find a) (dy/d) (f(x)) b) the values of a and b c) factorise f(x) completely d) hence evaluate ∫_3 ^4 [f(x)] dx

$g i v e n t h a t f (x) = x^{3} - 3 x^{2} + a x + b$ $a n d (x - 1) i s a f a c t o r o f f (x)$ $a l s o t h e m a x i m u m v a l u e o f$ $f (x) a t p o i n w h e r e x = 1$ $i s 12 f i n d$ $a) \frac{d y}{d} (f (x))$ $b) t h e v a l u e s o f a a n d b$ $c) f a c t o r i s e f (x) c o m p l e t e l y$ $d) h e n c e e v a l u a t e \int_{3}^{4} [f (x)] d x$

Question Number 39696 Answers: 1 Comments: 3

Question Number 39689 Answers: 1 Comments: 2

In Lambert W Function How would i simplify x = − ((W(((−ln(4))/8)))/(ln(4))) To get the values

$I n L a m b e r t W F u n c t i o n$ $H o w w o u l d i s i m p l i f y$ $x = - \frac{W (\frac{- l n (4)}{8})}{l n (4)}$ $T o g e t t h e v a l u e s$

Question Number 39727 Answers: 0 Comments: 1

If the average of 4 kids age is 3c and the average of two of them is 33. find the value of c.

$I f t h e a v e r a g e o f 4 k i d s a g e i s$ $3 c a n d t h e a v e r a g e o f t w o$ $o f t h e m i s 33 . f i n d t h e v a l u e$ $o f c .$

Question Number 39650 Answers: 1 Comments: 0

If f be a linear function f (6)−f(12) =2 What is f(12)−f(2).

$I f f b e a l i n e a r f u n c t i o n f (6) - f (12)$ $= 2 W h a t i s f (12) - f (2) .$

Question Number 39640 Answers: 1 Comments: 0

John′s age is 3x years 3 years after he was 27 years old what was his age 3 years before hence find the sum of the family ages Σ_(x=1) ^(60) (3x)^(3x−1)

${J o h n}^{'} s a g e i s 3 x y e a r s 3 y e a r s$ $a f t e r h e w a s 27 y e a r s o l d$ $w h a t w a s h i s a g e 3 y e a r s b e f o r e$ $h e n c e f i n d t h e s u m o f t h e$ $f a m i l y a g e s \underset{x = 1}{\sum^{60}} {(3 x)}^{3 x - 1}$

Question Number 39611 Answers: 1 Comments: 0

write the expression of electrostatic force between two charges Q_(1 ) and Q_2 separated by distance r. for the following condition 1)in air 2)when die electric present between them 3)when die electric partially fill space betweenp them

$w r i t e t h e e x p r e s s i o n o f e l e c t r o s t a t i c f o r c e$ $b e t w e e n t w o c h a r g e s Q_{1} a n d Q_{2} s e p a r a t e d b y$ $d i s t a n c e r . f o r t h e f o l l o w i n g c o n d i t i o n$ $1) i n a i r$ $2) w h e n d i e e l e c t r i c p r e s e n t b e t w e e n t h e m$ $3) w h e n d i e e l e c t r i c p a r t i a l l y f i l l s p a c e b e t w e e n p$ $t h e m$

Question Number 39607 Answers: 3 Comments: 0

find the minimum and maximum value of the quadratic functions a) 4x^2 + 5x + 1 b) x + (2/x) = 3 c) x^2 − (x/4) + 6 hence draw each draw

$f i n d t h e$ $m i n i m u m a n d m a x i m u m v a l u e$ $o f t h e q u a d r a t i c f u n c t i o n s$ $a) 4 x^{2} + 5 x + 1$ $b) x + \frac{2}{x} = 3$ $c) x^{2} - \frac{x}{4} + 6$ $h e n c e d r a w e a c h d r a w$

Question Number 39591 Answers: 1 Comments: 0

Given the lines l_1 :−3mx + 3y = 9 and l_(2 ) : y = mx + c find the value of m and c if the point (1,2) lie on both lines. hence the tangent of the curve y = (mx + c)^2 when it moves across the x−axis

$G i v e n t h e l i n e s$ $l_{1} : - 3 m x + 3 y = 9$ $a n d l_{2} : y = m x + c$ $f i n d t h e v a l u e o f m a n d c i f$ $t h e p o i n t (1, 2) l i e o n b o t h l i n e s .$ $h e n c e t h e t a n g e n t o f t h e$ $c u r v e y = {(m x + c)}^{2}$ $w h e n i t m o v e s a c r o s s t h e x - a x i s$

Question Number 39588 Answers: 1 Comments: 0

if cos A= (3/5) and tan B = ((12)/5) where A and B are reflex angles find without using tables,the value of a) sin (A − B) b) tan(A−B) c) cos (A + B).

$i f c o s A = \frac{3}{5} a n d t a n B = \frac{12}{5}$ $w h e r e A a n d B a r e r e f l e x a n g l e s$ $f i n d w i t h o u t u s i n g t a b l e s, t h e$ $v a l u e o f$ $a) s i n (A - B) b) t a n (A - B)$ $c) c o s (A + B) .$

Question Number 39587 Answers: 4 Comments: 0

Solve for x in the range 0 ≤ x ≤2π the equations a) cos(x + (π/3)) = 0 b) sin x = cos x. c) sin 2x + 2sin x = 1 + cos x

$S o l v e f o r x i n t h e r a n g e 0 ⩽ x ⩽ 2 π$ $t h e e q u a t i o n s$ $a) c o s (x + \frac{π}{3}) = 0$ $b) s i n x = c o s x .$ $c) s i n 2 x + 2 s i n x = 1 + c o s x$

Question Number 39586 Answers: 2 Comments: 0

show that a) ((1 + 2sin2θ − cos2θ)/(1+sin2θ + cos 2θ)) = tan θ b) tan^2 A − tan^2 B = ((sin^2 A−sin^2 B)/(cos^2 A cos^2 B))

$s h o w t h a t$ $a) \frac{1 + 2 s i n 2 θ - c o s 2 θ}{1 + s i n 2 θ + c o s 2 θ} = t a n θ$ $b) {t a n}^{2} A - {t a n}^{2} B = \frac{{s i n}^{2} A - {s i n}^{2} B}{{c o s}^{2} A {c o s}^{2} B}$

Question Number 39464 Answers: 1 Comments: 0

Domain of the explicit form of the function y represented implicitly by the equation (1+x)cosy−x^2 =0 is (a) (−1,1] (b) (−1, 1−(√)5/2] (c) [1−(√)5/2, 1+(√)5/2] (d) [0, 1+(√)5/2]

$D o m a i n o f t h e e x p l i c i t f o r m o f$ $t h e f u n c t i o n y r e p r e s e n t e d$ $i m p l i c i t l y b y t h e e q u a t i o n$ $(1 + x) c o s y - x^{2} = 0 i s$ $(a) (- 1, 1] (b) (- 1, 1 - \sqrt{} 5 / 2]$ $(c) [1 - \sqrt{} 5 / 2, 1 + \sqrt{} 5 / 2]$ $(d) [0, 1 + \sqrt{} 5 / 2]$

Question Number 39395 Answers: 0 Comments: 2

Given that θ is an obtuse angle find tan θ if cos θ =(3/5)

$G i v e n t h a t θ i s a n o b t u s e$ $a n g l e f i n d t a n θ i f$ $c o s θ = \frac{3}{5}$

Question Number 39337 Answers: 0 Comments: 0

tan^(−1) 2 + tan^(−1) 3=cosec^(−1) x ,then x is equal to (a) 4 (b) (√2) (d) −(√2) (d) none of these

${t a n}^{- 1} 2 + {t a n}^{- 1} 3 = {c o s e c}^{- 1} x, t h e n$ $x i s e q u a l t o$ $(a) 4 (b) \sqrt{2}$ $(d) - \sqrt{2} (d) n o n e o f t h e s e$

Question Number 39289 Answers: 1 Comments: 0

Find the value of x if the matrix (((3x 5x)),((x 3)) ) (((x 1)),((3 x)) ) has no inverse

$F i n d t h e v a l u e o f x i f$ $t h e m a t r i x$ $(\begin{matrix} 3 x 5 x \\ x 3 \end{matrix}) (\begin{matrix} x 1 \\ 3 x \end{matrix})$ $h a s n o i n v e r s e$

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Question Number 39255 Answers: 0 Comments: 0

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