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AllQuestion and Answers: Page 107

Question Number 206489 Answers: 1 Comments: 0

Resuelve la siguiente integral ∫ ((sin (t))/( ((sin^7 (t)∙cos^5 (t)))^(1/4) )) dt

$R e s u e l v e l a s i g u i e n t e i n t e g r a l$ $\int \frac{\sin (t)}{\sqrt[4]{\sin^{7} (t) \cdot \cos^{5} (t)}} d t$

Question Number 206484 Answers: 1 Comments: 0

Question Number 206477 Answers: 3 Comments: 0

If a>b>0 and 4a^2 + b^2 = 4ab Find: ((a − b)/(a + b)) = ?

$If a > b > 0 and {4 a}^{2} + b^{2} = 4 ab$ $Find : \frac{a - b}{a + b} = ?$

Question Number 206475 Answers: 1 Comments: 0

If (a^2 /(12)) − 5b^3 = −30 Find: (2/(45)) a^2 − (8/3) b^3 = ?

$If \frac{a^{2}}{12} - {5 b}^{3} = - 30$ $Find : \frac{2}{45} a^{2} - \frac{8}{3} b^{3} = ?$

Question Number 206473 Answers: 4 Comments: 0

If 4^p = 5 Find: 2^(3p) = ?

$If 4^{p} = 5$ $Find : 2^{3 p} = ?$

Question Number 206471 Answers: 1 Comments: 0

If asinθ = bcosθ = ((2ctanθ)/(1 − tan^2 θ)) then prove that (a^2 − b^2 )^2 = 4c^2 (a^2 + b^2 ).

$If a \sin θ = b \cos θ = \frac{2 c \tan θ}{1 - \tan^{2} θ} then prove$ $that {(a^{2} - b^{2})}^{2} = 4 c^{2} (a^{2} + b^{2}) .$

Question Number 206466 Answers: 1 Comments: 1

Question Number 206458 Answers: 3 Comments: 0

if f(x)=(√(x−x^2 )) then f^(−1) (x)=?

$i f f (x) = \sqrt{x - x^{2}} t h e n f^{- 1} (x) = ?$

Question Number 206452 Answers: 1 Comments: 0

Question Number 206451 Answers: 0 Comments: 0

Question Number 206449 Answers: 1 Comments: 0

solve the first order differential equation: xdy − ydx = (xy)^(1/2) dx

$s o l v e t h e f i r s t o r d e r d i f f e r e n t i a l$ $e q u a t i o n :$ $x d y - y d x = {(x y)}^{1 / 2} d x$

Question Number 206443 Answers: 0 Comments: 4

Question Number 206442 Answers: 1 Comments: 0

Question Number 206434 Answers: 1 Comments: 0

If tan^2 θ = 1 − x^2 then prove that secθ + tan^3 θcosecθ = (√((2 − x^2 )^3 )) .

$If \tan^{2} θ = 1 - x^{2} then prove that$ $\sec θ + \tan^{3} θ cosec θ = \sqrt{{(2 - x^{2})}^{3}} .$

Question Number 206433 Answers: 2 Comments: 0

let f:[0,∞)→R be a continuous function if lim_(n→∞ ) ∫_0 ^1 f(x+n)dx = 2 then lim_(n→∞) f(nx) = ?

$let f : [0, \infty) \to R be a continuous function if$ $\lim_{n \to \infty} \int_{0}^{1} f (x + n) dx = 2$ $then \lim_{n \to \infty} f (nx) = ?$

Question Number 206430 Answers: 2 Comments: 0

Question Number 206425 Answers: 1 Comments: 0

If cos𝛂 = (3/5) (0<𝛂<(𝛑/2)) Find: ((tan^2 (45° + (𝛂/2)))/3) = ?

$If \cos α = \frac{3}{5} (0 < α < \frac{π}{2})$ $Find : \frac{\tan^{2} (45 ° + \frac{α}{2})}{3} = ?$

Question Number 206421 Answers: 1 Comments: 0

If tanpθ = ptanθ then prove that ((sin^2 pθ)/(sin^2 θ)) = (p^2 /(1 + (p^2 − 1)sin^2 θ)) .

$If \tan p θ = p \tan θ then prove that$ $\frac{\sin^{2} p θ}{\sin^{2} θ} = \frac{p^{2}}{1 + (p^{2} - 1) \sin^{2} θ} .$

Question Number 206399 Answers: 2 Comments: 1

Question Number 206396 Answers: 3 Comments: 0

Question Number 206394 Answers: 0 Comments: 1

Question Number 206393 Answers: 1 Comments: 0

find S=1+Σ_ℓ (((−)^ℓ )/ℓ)((1/ℓ)−(1/(ℓ+1))) , ℓ∈[1,∞) 1+Σ_ℓ (((−)^ℓ )/ℓ)((1/ℓ)−(1/(ℓ+1))) 1−(1−(1/2))+(1/2)((1/2)−(1/3))−(1/3)((1/3)−(1/4))+(1/4)((1/4)−(1/5))−......

$find S = 1 + \sum_{ℓ} \frac{{(-)}^{ℓ}}{ℓ} (\frac{1}{ℓ} - \frac{1}{ℓ + 1}), ℓ \in [1, \infty)$ $1 + \sum_{ℓ} \frac{{(-)}^{ℓ}}{ℓ} (\frac{1}{ℓ} - \frac{1}{ℓ + 1})$ $1 - (1 - \frac{1}{2}) + \frac{1}{2} (\frac{1}{2} - \frac{1}{3}) - \frac{1}{3} (\frac{1}{3} - \frac{1}{4}) + \frac{1}{4} (\frac{1}{4} - \frac{1}{5}) - . . . . . .$

Question Number 206391 Answers: 2 Comments: 0

Find: ∫_(−3) ^( −2) (∣x∣ + ∣x − 4∣) dx = ?

$Find :$ $\int_{- 3}^{- 2} (∣ x ∣ + ∣ x - 4 ∣) dx = ?$

Question Number 206365 Answers: 2 Comments: 4

Number series: a_3 = 2a + b − 6 a_9 = a + b + 5 a_(15) = 3a + b − 7 Find: a = ?

$Number series :$ $a_{3} = 2 a + b - 6$ $a_{9} = a + b + 5$ $a_{15} = 3 a + b - 7$ $Find : a = ?$

Question Number 206364 Answers: 2 Comments: 0

Question Number 206363 Answers: 0 Comments: 2

If 0<a<1 Compare: (1/(a−1)) , (a/(a−1)) , (1/(1−a)) , (a/(1−a)) , (a/(2a))

$If 0 < a < 1$ $Compare :$ $\frac{1}{a - 1}, \frac{a}{a - 1}, \frac{1}{1 - a}, \frac{a}{1 - a}, \frac{a}{2 a}$

Pg 102 Pg 103 Pg 104 Pg 105 Pg 106 Pg 107 Pg 108 Pg 109 Pg 110 Pg 111

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