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Question Number 169480 Answers: 1 Comments: 0

Question Number 169479 Answers: 2 Comments: 2

lim_(x→4) (((cos a)^x −(sin a)^x −cos 2a)/(x−4)) =?

$\lim_{x \to 4} \frac{{(\cos a)}^{x} - {(\sin a)}^{x} - \cos 2 a}{x - 4} = ?$

Question Number 169466 Answers: 1 Comments: 0

Question Number 169458 Answers: 2 Comments: 1

Question Number 169448 Answers: 1 Comments: 6

Question Number 169447 Answers: 0 Comments: 0

The equation of the curve is given y=(x^3 /6)−((5x^2 )/2)−6x−1 1) Determine the critical points 2) Distinguish between these points 3) Determine the Maximum and minimum values 4) Determine the value of x and y at point of inflexion Mastermind

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

Question Number 169445 Answers: 0 Comments: 8

let x and y be positive reals such that x^3 + y^3 + (x+y)^3 +30xy = 2000 show that x+y = 10

$let x and y be positive reals such that$ $x^{3} + y^{3} + {(x + y)}^{3} + 30 xy = 2000$ $show that x + y = 10$

Question Number 169439 Answers: 1 Comments: 0

Question Number 169438 Answers: 0 Comments: 1

Question Number 169436 Answers: 1 Comments: 1

Question Number 169429 Answers: 1 Comments: 0

(√(220+30(√(35))))=

$\sqrt{220 + 30 \sqrt{35}} =$

Question Number 169421 Answers: 0 Comments: 0

Question Number 169413 Answers: 0 Comments: 0

Question Number 169412 Answers: 0 Comments: 1

Question Number 169407 Answers: 1 Comments: 0

Question Number 169389 Answers: 0 Comments: 1

1. 2(√y) dx = dy 2. (x^2 + y^2 )dx = 2xydy 3. xdx + (1/y) dy = 0 4. dy = 3x^2 dx 5. 2y^2 dx + x(1 + y^2 ) dy = 0 6. 4x^3 dx + dy = 0

$1 . 2 \sqrt{y} dx = dy$ $2 . (x^{2} + y^{2}) dx = 2 xydy$ $3 . xdx + \frac{1}{y} dy = 0$ $4 . dy = {3 x}^{2} dx$ $5 . {2 y}^{2} dx + x (1 + y^{2}) dy = 0$ $6 . {4 x}^{3} dx + dy = 0$

Question Number 169382 Answers: 1 Comments: 7

find the value of [v] if v denotes maximum value of x^2 + y^2 , where (x+5)^2 + (y−12)^2 = 14 (hint [•] repersent greatest integer function of “ •”)

$find the value of [v] if v den o tes maximum$ $value of x^{2} + y^{2}, where {(x + 5)}^{2} + {(y - 12)}^{2} = 14$ $(hint [∙] repersent greatest integer function of ‘ ‘ ∙^{″})$

Question Number 169391 Answers: 1 Comments: 2

Question Number 169396 Answers: 0 Comments: 14

(√x)+1=0 find x Mastermind

$\sqrt{x} + 1 = 0$ $f i n d x$ $M a s t e r m i n d$

Question Number 169397 Answers: 2 Comments: 0

Question Number 169366 Answers: 0 Comments: 1

Differentiate from first principle y=log_x a Mastermind

$D i f f e r e n t i a t e f r o m f i r s t p r i n c i p l e$ $y = {l o g}_{x} a$ $M a s t e r m i n d$

Question Number 169364 Answers: 1 Comments: 0

Show that the differential equation y′′ −4y′+4y=0 is satisfied when y=xe^(2x) Mastermind

$S h o w t h a t t h e d i f f e r e n t i a l e q u a t i o n$ $y^{″} - 4 y^{'} + 4 y = 0 i s s a t i s f i e d w h e n$ $y = {x e}^{2 x}$ $M a s t e r m i n d$

Question Number 169362 Answers: 2 Comments: 0

∫tan(2x+3)dx Mastermind

$\int t a n (2 x + 3) d x$ $M a s t e r m i n d$

Question Number 169358 Answers: 1 Comments: 0

Differentiate from first principle y=(1/(x^2 +5))

$D i f f e r e n t i a t e f r o m f i r s t p r i n c i p l e$ $y = \frac{1}{x^{2} + 5}$

Question Number 169356 Answers: 3 Comments: 0

1. y = arcsin(sinx) ⇒ y^′ =? 2. y = sin (√(x + 1)) ⇒ y^′ =? 3. y = ln^5 sinx ⇒ y^′ =? 4. y = cos(2x + 3) ⇒ y^′ =?

$1 . y = \arcsin (sinx) \Rightarrow y^{^{'}} = ?$ $2 . y = \sin \sqrt{x + 1} \Rightarrow y^{^{'}} = ?$ $3 . y = \ln^{5} sinx \Rightarrow y^{^{'}} = ?$ $4 . y = \cos (2 x + 3) \Rightarrow y^{^{'}} = ?$

Question Number 169354 Answers: 1 Comments: 0

1. ∫_0 ^1 (dx/(1 + x)) 2. ∫_0 ^( 1) (6 - x^2 )dx 3. ∫_0 ^( (π/2)) ((cosx)/(1 + sinx)) dx

$1 . \int_{0}^{1} \frac{dx}{1 + x}$ $2 . \int_{0}^{1} (6 - x^{2}) dx$ $3 . \int_{0}^{\frac{π}{2}} \frac{cosx}{1 + sinx} dx$

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