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AllQuestion and Answers: Page 659

Question Number 146325 Answers: 1 Comments: 0

Given that (a+b)=(√(3(√3)−(√2))) and (a−b)=(√(3(√2)−(√3))) Find (i) ab (ii) a^2 +b^2

$G i v e n t h a t (a + b) = \sqrt{3 \sqrt{3} - \sqrt{2}}$ $a n d (a - b) = \sqrt{3 \sqrt{2} - \sqrt{3}}$ $F i n d$ $(i) a b (i i) a^{2} + b^{2}$

Question Number 146315 Answers: 1 Comments: 0

Question Number 147334 Answers: 1 Comments: 1

If log_6 30 = a, log_(15) 24 = b, evaluate: log_(12) 60

$If \log_{6} 30 = a, \log_{15} 24 = b, evaluate : \log_{12} 60$

Question Number 146311 Answers: 0 Comments: 3

lg^2 (10x) + lg(x) + 1 = 6 - lg(x) ⇒ x=?

${l g}^{2} (10 x) + l g (x) + 1 = 6 - l g (x)$ $\Rightarrow x = ?$

Question Number 146310 Answers: 1 Comments: 3

4 sin(x) cos(x) ≥ (√3)

$4 s i n (x) c o s (x) ⩾ \sqrt{3}$

Question Number 146307 Answers: 1 Comments: 0

S_n =Σ_(k=1) ^n (( 1)/(k (k+2)k+4))) lim_( n→∞) ( S_( n) ) = ?

$S_{n} = \underset{k = 1}{\sum^{n}} \frac{1}{k (k + 2) k + 4)}$ ${l i m}_{n \to \infty} (S_{n}) = ?$

Question Number 146303 Answers: 2 Comments: 4

Question Number 146300 Answers: 1 Comments: 0

Question Number 146290 Answers: 0 Comments: 5

Question Number 146285 Answers: 3 Comments: 2

∫ sin(2x - (π/4)) dx = ?

$\int s i n (2 x - \frac{π}{4}) d x = ?$

Question Number 146277 Answers: 1 Comments: 0

∫cos(2x)dx=?

$\int c o s (2 x) d x = ?$

Question Number 146272 Answers: 1 Comments: 3

log_x (x^2 + 1) ≤ 1

${l o g}_{x} (x^{2} + 1) ⩽ 1$

Question Number 146318 Answers: 1 Comments: 4

if arg (((z−i)/i))=2 find Imz + Rez = ?

$i f a r g (\frac{z - i}{i}) = 2$ $f i n d I m z + R e z = ?$

Question Number 146317 Answers: 0 Comments: 0

Question Number 146316 Answers: 2 Comments: 0

Question Number 146263 Answers: 2 Comments: 0

lim_(x→−∞) (−2x+1−(√(4x^2 −5x+8)))=?

$\lim_{x \to - \infty} (- 2 x + 1 - \sqrt{4 x^{2} - 5 x + 8}) = ?$

Question Number 146261 Answers: 1 Comments: 0

4 cos (50°) - (1/(sin (20°))) = ?

$4 c o s (50 °) - \frac{1}{s i n (20 °)} = ?$

Question Number 146260 Answers: 1 Comments: 0

solve y^(′′) −2y^′ +y =e^(−x) sinx

$solve y^{^{″}} - {2 y}^{^{'}} + y = e^{- x} sinx$

Question Number 146253 Answers: 2 Comments: 0

(4x^4 - 2x^2 + 17)_(max) = ?

${(4 x^{4} - 2 x^{2} + 17)}_{m a x} = ?$

Question Number 146250 Answers: 0 Comments: 1

I_k =∫_0 ^(kΠ) e^x^2 sin x dx then find relation between I_1 ,I_2 ,I_3

$I_{k} = \underset{0}{\int^{k Π}} e^{x^{2}} \sin x d x t h e n f i n d r e l a t i o n$ $b e t w e e n I_{1}, I_{2}, I_{3}$

Question Number 146366 Answers: 1 Comments: 0

Question Number 146365 Answers: 0 Comments: 0

calculate ∫_0 ^∞ ((arctan(x^2 ))/(x^2 +4))dx

$calculate \int_{0}^{\infty} \frac{\arctan (x^{2})}{x^{2} + 4} dx$

Question Number 146244 Answers: 2 Comments: 0

((√5) - 2)^((2x^2 -1)/2) = ((√5) + 2)^((3x-7)/4) ⇒ x=?

${(\sqrt{5} - 2)}^{\frac{2 x^{2} - 1}{2}} = {(\sqrt{5} + 2)}^{\frac{3 x - 7}{4}} \Rightarrow x = ?$

Question Number 146242 Answers: 1 Comments: 0

4 sin(50°) - (1/(cos(20°))) = ?

$4 s i n (50 °) - \frac{1}{c o s (20 °)} = ?$

Question Number 146236 Answers: 1 Comments: 0

∫ ((3x + 1)/x) dx = ?

$\int \frac{3 x + 1}{x} d x = ?$

Question Number 146235 Answers: 2 Comments: 0

if arg z_1 = ((4π)/3) and arg z_1 ^2 ∙ z = ((7π)/6) find arg z = ?

$i f a r g z_{1} = \frac{4 π}{3} a n d a r g z_{1}^{2} \cdot z = \frac{7 π}{6}$ $f i n d a r g z = ?$

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