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AllQuestion and Answers: Page 186

Question Number 196775 Answers: 0 Comments: 10

A stream is flowing at 0.75ms−¹ and a boat heading perpendicular for the stream landed at the opposite bank at an angle of 30°. Calculate the velocity of the boat. A. 1.50ms-1 B. 1.00ms-1 C. 0.86ms-1 D. 0.65ms-1

Question Number 196774 Answers: 1 Comments: 0

A man standing on top of Burj Khalifa. If the height of Burj Khalifa including a man is 830 m, then what is the maximum distance up to which a man can see objects on Earth? (Earth's radius 6371 km)

Question Number 196770 Answers: 1 Comments: 2

Question Number 196766 Answers: 0 Comments: 2

Question Number 196621 Answers: 1 Comments: 0

find f(x) if f(x+(√(x^2 +1))) = (x/(x+1))

$find f (x) if$ $f (x + \sqrt{x^{2} + 1}) = \frac{x}{x + 1}$

Question Number 196619 Answers: 1 Comments: 0

Question Number 196596 Answers: 0 Comments: 1

If f(x) = ln(((1 + x)/(1 − x))) then prove that f(((2x)/(1 + x^2 ))) = 2f(x).

$If f (x) = \ln (\frac{1 + x}{1 - x}) then prove that$ $f (\frac{2 x}{1 + x^{2}}) = 2 f (x) .$

Question Number 196595 Answers: 0 Comments: 0

Question Number 196594 Answers: 2 Comments: 0

Question Number 196629 Answers: 1 Comments: 1

if xyz=1, prove ((x/(x−1)))^2 +((y/(y−1)))^2 +((z/(z−1)))^2 ≥1.

$i f x y z = 1, p r o v e$ ${(\frac{x}{x - 1})}^{2} + {(\frac{y}{y - 1})}^{2} + {(\frac{z}{z - 1})}^{2} ⩾ 1 .$

Question Number 196582 Answers: 1 Comments: 0

If x = log_a bc, y = log_b ca and z = log_c ab then prove that x + y + z = xyz − 2.

$If x = \log_{a} b c, y = \log_{b} c a and z = \log_{c} a b$ $then prove that x + y + z = x y z - 2 .$

Question Number 197585 Answers: 4 Comments: 0

f (x)=f((1/x)) ⇒ f(x)=?

$f (x) = f (\frac{1}{x})$ $\Rightarrow f (x) = ?$

Question Number 196576 Answers: 1 Comments: 1

Question Number 196571 Answers: 2 Comments: 0

Question Number 196567 Answers: 0 Comments: 3

Show that (((1+ itanθ)/(1− itanθ)))^n =((1+ itan(nθ))/(1− tan(nθ)))

$Show that {(\frac{1 + itan θ}{1 - itan θ})}^{n} = \frac{1 + itan (n θ)}{1 - \tan (n θ)}$

Question Number 196565 Answers: 1 Comments: 0

find the power series exponition of f(z)=((2z+1)/(z^2 −3z+2)) about z_o = i

$f i n d t h e p o w e r s e r i e s e x p o n i t i o n o f$ $f (z) = \frac{2 z + 1}{z^{2} - 3 z + 2} a b o u t z_{o} = i$

Question Number 196560 Answers: 2 Comments: 1

Question Number 196559 Answers: 0 Comments: 0

Question Number 196558 Answers: 0 Comments: 0

Question Number 196557 Answers: 1 Comments: 0

Question Number 196555 Answers: 0 Comments: 0

In △ABC show that Σ ((1 + cos ∙ (A − B) ∙ cos C)/(h_C ∙ sec C)) = (3/(2 R))

$In △ ABC show that$ $Σ \frac{1 + \cos \cdot (A - B) \cdot \cos C}{h_{C} \cdot \sec C} = \frac{3}{2 R}$

Question Number 196614 Answers: 2 Comments: 0

if S_n =(1/(1+5n))+(1/(2+5n))+(1/(3+5n))+...+(1/(6n)), find lim_(n→∞) S_n =?

$i f S_{n} = \frac{1}{1 + 5 n} + \frac{1}{2 + 5 n} + \frac{1}{3 + 5 n} + . . . + \frac{1}{6 n},$ $f i n d \lim_{n \to \infty} S_{n} = ?$

Question Number 196612 Answers: 0 Comments: 1

Question Number 196544 Answers: 1 Comments: 0

Question Number 196540 Answers: 1 Comments: 0

using definition of limit, prove lim_(x→+∞) (x/(x+1)) = 1

$u s i n g d e f i n i t i o n o f l i m i t, p r o v e$ $\lim_{x \to + \infty} \frac{x}{x + 1} = 1$

Question Number 196539 Answers: 0 Comments: 0

Σ_(i=1) ^6 f(i)=Σ_(i=1) ^6 f(6+1−i) Σ_(i=1) ^6 Σ_(j=1) ^i f(i,j)=Σ_(i=1) ^6 Σ_(j=1) ^i f(6+1−j,6+1−i) Σ_(i=1) ^6 Σ_(j=1) ^i Σ_(k=1) ^j f(i,j,k)=Σ_(i=1) ^6 Σ_(j=1) ^i Σ_(k=1) ^j f(? ,? ,?)

$\underset{i = 1}{\sum^{6}} f (i) = \underset{i = 1}{\sum^{6}} f (6 + 1 - i)$ $\underset{i = 1}{\sum^{6}} \underset{j = 1}{\sum^{i}} f (i, j) = \underset{i = 1}{\sum^{6}} \underset{j = 1}{\sum^{i}} f (6 + 1 - j, 6 + 1 - i)$ $\underset{i = 1}{\sum^{6}} \underset{j = 1}{\sum^{i}} \underset{k = 1}{\sum^{j}} f (i, j, k) = \underset{i = 1}{\sum^{6}} \underset{j = 1}{\sum^{i}} \underset{k = 1}{\sum^{j}} f (?, ?, ?)$

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