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AllQuestion and Answers: Page 1892

Question Number 13725 Answers: 0 Comments: 2

(1/7)=.142857^(−) (1/7) is a recurring decimal of period 6. What will be the period of (1/7^(20) )?

$\frac{1}{7} = . \overset{―}{142857}$ $\frac{1}{7} is a recurring decimal of period 6 .$ $What will be the period of \frac{1}{7^{20}} ?$

Question Number 13724 Answers: 2 Comments: 3

Expansion of 1000! has 249, 0′s at the end Find the first non−zero digit from right. 1000!=......d000...00 What is the value of d?

$Expansion of 1000! has 249, 0^{'} s at the end$ $Find the first non - zero digit from$ $right .$ $1000! = . . . . . . d 000 . . . 00$ $What is the value of d ?$

Question Number 13721 Answers: 0 Comments: 0

what is NBS?

$what is NBS ?$

Question Number 13706 Answers: 1 Comments: 0

The volume of a right circular cone is 5 litres . Calculate the volumes of the two parts into which the cone is divided by a plane parallel to the base , One third of the way down from the vertex to the base. Give your answer to the nearest ml.

$The volume of a right circular cone is 5 litres . Calculate the volumes of the two$ $parts into which the cone is divided by a plane parallel to the base, One third$ $of the way down from the vertex to the base . Give your answer to the nearest$ $ml .$

Question Number 13705 Answers: 1 Comments: 3

Assuming no air resistance, and angle of projection α=(π/4) , find the ratio of the length of trajectory L of a projectile motion (by the time it hits the ground) to its horizontal range R on ground. (L/R)=?

$A s s u m i n g n o a i r r e s i s t a n c e,$ $a n d a n g l e o f p r o j e c t i o n α = \frac{π}{4},$ $f i n d t h e r a t i o o f t h e l e n g t h o f$ $t r a j e c t o r y L o f a p r o j e c t i l e m o t i o n$ $(b y t h e t i m e i t h i t s t h e g r o u n d)$ $t o i t s h o r i z o n t a l r a n g e R o n$ $g r o u n d . \frac{L}{R} = ?$

Question Number 13695 Answers: 1 Comments: 2

Volume of a bubble is 3 times larger when it reaches the surface from the bottom of the lake. What is the depth of the lake? (A) 10 m (D) 40 m (B) 20 m (E) 50 m (C) 30 m

$Volume of a bubble is 3 times larger$ $when it reaches the surface from the bottom$ $of the lake .$ $What is the depth of the lake ?$ $(A) 10 m (D) 40 m$ $(B) 20 m (E) 50 m$ $(C) 30 m$

Question Number 13688 Answers: 1 Comments: 0

Question Number 13687 Answers: 0 Comments: 4

Question Number 13681 Answers: 1 Comments: 3

Question Number 13658 Answers: 1 Comments: 0

Prove that cos^2 x + cos^2 3x + cos^2 5x + ... to n terms = (1/2)[n + ((sin4nx)/(2sin2x))]

$Prove that$ $\cos^{2} x + \cos^{2} 3 x + \cos^{2} 5 x + . . . to n terms$ $= \frac{1}{2} [n + \frac{\sin 4 n x}{2 \sin 2 x}]$

Question Number 13654 Answers: 1 Comments: 0

The sum of the series sinθ + sin(((n − 4)/(n − 2)))θ + sin(((n − 6)/(n − 2)))θ + ... n terms is equal to (1) sin(((nθ)/(2 − n))) (2) cos(((2nθ)/(2 − n))) (3) tannθ (4) cotnθ

$The sum of the series$ $\sin θ + \sin (\frac{n - 4}{n - 2}) θ + \sin (\frac{n - 6}{n - 2}) θ + . . . n terms$ $is equal to$ $(1) \sin (\frac{n θ}{2 - n})$ $(2) \cos (\frac{2 n θ}{2 - n})$ $(3) \tan n θ$ $(4) \cot n θ$

Question Number 13649 Answers: 1 Comments: 0

2xyy′+(x−1)y^2 =x^2 e^x

$2 {x y y}^{'} + (x - 1) y^{2} = x^{2} e^{x}$

Question Number 13647 Answers: 0 Comments: 6

x^2 +y^2 =5.....(1) 3x^2 +xy+y^2 =1.....(2) please help find x and y

$x^{2} + y^{2} = 5 . . . . . (1)$ ${3 x}^{2} + xy + y^{2} = 1 . . . . . (2)$ $please help find x and y$

Question Number 13645 Answers: 0 Comments: 0

please is factor theorem and error and trial the same? please help cause i think theres a difference but i cant explain it. Thankz.

$please is factor theorem and error$ $and trial the same ? please help$ $cause i think theres a difference$ $but i cant explain it .$ $Thankz .$

Question Number 13636 Answers: 1 Comments: 0

A steam envine of efficiency 70% burns 20g of coal to produce 10kJ of energy.If it burns 200g of coal per second,calculate its output power.

$A steam envine of efficiency 70 %$ $burns 20 g of coal to produce 10 kJ$ $of energy . If it burns 200 g of coal$ $per second, calculate its output$ $power .$

Question Number 13627 Answers: 1 Comments: 0

Question Number 13626 Answers: 1 Comments: 0

Prove that cosech^(−1) (x) = sinh^(−1) ((1/x))

$Prove that$ ${cosech}^{- 1} (x) = \sinh^{- 1} (\frac{1}{x})$

Question Number 13609 Answers: 1 Comments: 0

Question Number 13608 Answers: 0 Comments: 2

if distance is given by x(t)=2t+5 then ,the acceleration at 4s is............

$if distance is given by x (t) = 2 t + 5 then, the$ $acceleration at 4 s is . . . . . . . . . . . .$

Question Number 13606 Answers: 1 Comments: 0

Show that 19^(93) − 13^(99) is a positive integer divisible by 162.

$Show that 19^{93} - 13^{99} is a positive$ $integer divisible by 162 .$

Question Number 13732 Answers: 1 Comments: 3

Sum the following: tan x+2tan 2x+2^2 tan 2^2 x+...+2^n tan 2^n x

$Sum the following :$ $\tan x + 2 \tan 2 x + 2^{2} \tan 2^{2} x + . . . + 2^{n} \tan 2^{n} x$

Question Number 13601 Answers: 1 Comments: 0

Let f : R − {(3/5)} → R be defined by f(x) = ((3x + 2)/(5x − 3)) . Then, (a) f^(−1) (x) = x (b) f^(−1) (x) = −f(x) (c) fof(x) = −x (d) f^(−1) (x) = (1/(19))f(x)

$Let f : R - {\frac{3}{5}} \to R be defined by$ $f (x) = \frac{3 x + 2}{5 x - 3} . Then,$ $(a) f^{- 1} (x) = x$ $(b) f^{- 1} (x) = - f (x)$ $(c) f o f (x) = - x$ $(d) f^{- 1} (x) = \frac{1}{19} f (x)$

Question Number 13622 Answers: 1 Comments: 0

Evaluate: ∫_0 ^(2π) e^(x/2) sin ((x/2) + (π/4))dx

$Evaluate : \int_{0}^{2 π} e^{\frac{x}{2}} \sin (\frac{x}{2} + \frac{π}{4}) d x$

Question Number 13623 Answers: 1 Comments: 0

Evaluate: ∫_0 ^(2π) e^x cos ((π/4) + (x/2))dx

$Evaluate : \int_{0}^{2 π} e^{x} \cos (\frac{π}{4} + \frac{x}{2}) d x$

Question Number 13598 Answers: 0 Comments: 1

If g(x) = x^2 + x − 2 and (1/2) gof(x) = 2x^2 − 5x + 2, then prove that f(x) = 2x − 3.

$If g (x) = x^{2} + x - 2 and$ $\frac{1}{2} g o f (x) = 2 x^{2} - 5 x + 2, then prove$ $that f (x) = 2 x - 3 .$

Question Number 13595 Answers: 1 Comments: 0

If f : R → (−1, 1) is defined by f(x) = ((−x∣x∣)/(1 + x^2 )) , then prove that f^(−1) (x) = −sgn(x)(√((∣x∣)/(1 − ∣x∣)))

$If f : R \to (- 1, 1) is defined by$ $f (x) = \frac{- x ∣ x ∣}{1 + x^{2}}, then prove that$ $f^{- 1} (x) = - sgn (x) \sqrt{\frac{∣ x ∣}{1 - ∣ x ∣}}$

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