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Question Number 42358 Answers: 1 Comments: 0

∫_( −1) ^( 1) (x^(2015) /(((1 + x))^(1/(2015)) + ((1 − x))^(1/(2015)) )) dx

$\int_{- 1}^{1} \frac{x^{2015}}{\sqrt[2015]{1 + x} + \sqrt[2015]{1 - x}} dx$

Question Number 42357 Answers: 1 Comments: 0

Question Number 42352 Answers: 1 Comments: 0

Question Number 42345 Answers: 1 Comments: 2

tan 15° =

$\tan 15 ° =$

Question Number 42336 Answers: 0 Comments: 0

find ∫ ln(x−cosx)dx .

$f i n d \int l n (x - c o s x) d x .$

Question Number 42332 Answers: 0 Comments: 0

Question Number 42331 Answers: 1 Comments: 0

Question Number 42330 Answers: 0 Comments: 0

A linear function f(x)=ax + b transforms X={1,2,3,5,9,11} into Y,so that f(5)=13 and f(1)=5 Calculate the mean and Variance of X and Y.

$A l i n e a r f u n c t i o n f (x) = a x + b t r a n s f o r m s X = {1, 2, 3, 5, 9, 11}$ $i n t o Y, s o t h a t f (5) = 13 a n d f (1) = 5$ $C a l c u l a t e t h e m e a n a n d V a r i a n c e o f X a n d Y .$

Question Number 42340 Answers: 2 Comments: 3

Question Number 42320 Answers: 1 Comments: 3

Question Number 42316 Answers: 1 Comments: 2

Question Number 42315 Answers: 2 Comments: 0

the point (2,−1) is reflected in the line x=4 find the image point.

$the point (2, - 1) is reflected$ $in the line x = 4 find the$ $image point .$

Question Number 42314 Answers: 0 Comments: 1

Question Number 42528 Answers: 1 Comments: 0

Solve : ((p+2)/(2p+1)) = ((q+2p)/(2q+p)) = ((1+2q)/(2+q)) = λ. Find (p,q) ?

$Solve :$ $\frac{p + 2}{2 p + 1} = \frac{q + 2 p}{2 q + p} = \frac{1 + 2 q}{2 + q} = λ .$ $Find (p, q) ?$

Question Number 42299 Answers: 1 Comments: 0

The set X and Y have five elementseach . Given that ΣX=25,ΣY=55,ΣX^2 =165 and ΣY^2 =765 and a linear Function y= px + q tranforms the set X into the set Y,where p and q are positive constants. a) Find the mean and Variance of X and Y hence,or otherwise , b)find the values of p and q.

$T h e s e t X a n d Y h a v e f i v e e l e m e n t s e a c h .$ $G i v e n t h a t Σ X = 25, Σ Y = 55, Σ X^{2} = 165 a n d Σ Y^{2} = 765$ $a n d a l i n e a r F u n c t i o n y = p x + q t r a n f o r m s t h e s e t X i n t o t h e s e t$ $Y, w h e r e p a n d q a r e p o s i t i v e c o n s t a n t s .$ $a) F i n d t h e m e a n a n d V a r i a n c e o f X a n d Y$ $h e n c e, o r o t h e r w i s e,$ $b) f i n d t h e v a l u e s o f p a n d q .$

Question Number 42296 Answers: 1 Comments: 1

solve in Z^2 2x+3y =7

$s o l v e i n Z^{2} 2 x + 3 y = 7$

Question Number 42291 Answers: 1 Comments: 0

y = ((1080 − 19x)/(49)) (x,y ∈ Z) Find (x,y)

$y = \frac{1080 - 19 x}{49} (x, y \in Z)$ $Find (x, y)$

Question Number 42289 Answers: 1 Comments: 1

log(x+y)=1 log_2 x+log_4 y^2 =4

$\log (x + y) = 1$ $\log_{2} x + \log_{4} y^{2} = 4$

Question Number 42287 Answers: 1 Comments: 0

Your family will be attending a family reunion at a particular beach resort. To avoid hassle, you consider renting a car that charges a flat rate of P2 000 plus P150 per kilometer. Write a piecewise function that model the situation.

$Y o u r f a m i l y w i l l b e a t t e n d i n g a$ $f a m i l y r e u n i o n a t a p a r t i c u l a r b e a c h$ $r e s o r t . T o a v o i d h a s s l e, y o u c o n s i d e r$ $r e n t i n g a c a r t h a t c h a r g e s a f l a t r a t e$ $o f P 2 000 p l u s P 150 p e r k i l o m e t e r .$ $W r i t e a p i e c e w i s e f u n c t i o n t h a t$ $m o d e l t h e s i t u a t i o n .$

Question Number 42285 Answers: 0 Comments: 2

let S_p =Σ_(n=0) ^∞ cos(((nπ)/p)) and W_p =Σ_(n=0) ^∞ sin(((nπ)/p)) with p natural integr not0 1) find a simple form of S_p and W_p 2) find the value of Σ_(n=0) ^∞ cos(((nπ)/3)) and Σ_(n=0) ^∞ sin(((nπ)/3)) 3) find the value of Σ_(n=0) ^∞ cos(((nπ)/5)) and Σ_(n=0) ^∞ sin(((nπ)/5)) 4) calculate A =Σ_(n=0) ^∞ cos^2 (((nπ)/3)) and B =Σ_(n=0) ^∞ sin^2 (((nπ)/3)) .

$l e t S_{p} = \sum_{n = 0}^{\infty} c o s (\frac{n π}{p}) a n d W_{p} = \sum_{n = 0}^{\infty} s i n (\frac{n π}{p}) w i t h p n a t u r a l i n t e g r n o t 0$ $1) f i n d a s i m p l e f o r m o f S_{p} a n d W_{p}$ $2) f i n d t h e v a l u e o f \sum_{n = 0}^{\infty} c o s (\frac{n π}{3}) a n d \sum_{n = 0}^{\infty} s i n (\frac{n π}{3})$ $3) f i n d t h e v a l u e o f \sum_{n = 0}^{\infty} c o s (\frac{n π}{5}) a n d \sum_{n = 0}^{\infty} s i n (\frac{n π}{5})$ $4) c a l c u l a t e A = \sum_{n = 0}^{\infty} {c o s}^{2} (\frac{n π}{3}) a n d B = \sum_{n = 0}^{\infty} {s i n}^{2} (\frac{n π}{3}) .$

Question Number 42304 Answers: 0 Comments: 1

solve in Z^3 x+2y +3z =12 .

$s o l v e i n Z^{3} x + 2 y + 3 z = 12 .$

Question Number 42278 Answers: 0 Comments: 1

Question Number 42266 Answers: 0 Comments: 1

find the value of Σ_(n =0) ^∞ (1/(n^2 +1)) and Σ_(n=0) ^∞ (((−1)^n )/(n^2 +1)) .

$f i n d t h e v a l u e o f \sum_{n = 0}^{\infty} \frac{1}{n^{2} + 1} a n d \sum_{n = 0}^{\infty} \frac{{(- 1)}^{n}}{n^{2} + 1} .$

Question Number 42264 Answers: 1 Comments: 0

Thd local barangay recieved a budget of 150000 to provide medical check−ups for the children in the barangay. Write an equation representing the relationship of the alloted money per child.

$T h d l o c a l b a r a n g a y r e c i e v e d a b u d g e t o f 150000 t o p r o v i d e m e d i c a l c h e c k - u p s f o r t h e c h i l d r e n i n t h e b a r a n g a y . W r i t e a n e q u a t i o n r e p r e s e n t i n g t h e r e l a t i o n s h i p o f t h e a l l o t e d m o n e y p e r c h i l d .$

Question Number 42262 Answers: 1 Comments: 0

Heat is supplied at a rate of 500W to a pressure cooker containing water and fitted with a safety valve.Steam escape such that water is lost at 12g/min.If the heat is supplied at 900W,water is lost at 20g/min.Calculate the specific latent heat of steam.

$H e a t i s s u p p l i e d a t a r a t e o f 500 W$ $t o a p r e s s u r e c o o k e r c o n t a i n i n g$ $w a t e r a n d f i t t e d w i t h a s a f e t y$ $v a l v e . S t e a m e s c a p e s u c h t h a t$ $w a t e r i s l o s t a t 12 g / m i n . I f t h e$ $h e a t i s s u p p l i e d a t 900 W, w a t e r i s$ $l o s t a t 20 g / m i n . C a l c u l a t e t h e$ $s p e c i f i c l a t e n t h e a t o f s t e a m .$

Question Number 42261 Answers: 1 Comments: 1

How much sweat must evaporate from the surface of 150kg of human body to be able to cool the human by 2°C.(assume C=3.35J/g/K for human and L=2.5mJ/kg for water at body temperature)

$H o w m u c h s w e a t m u s t e v a p o r a t e$ $f r o m t h e s u r f a c e o f 150 k g o f h u m a n$ $b o d y t o b e a b l e t o c o o l t h e h u m a n$ $b y 2 ° C . (a s s u m e C = 3.35 J / g / K f o r$ $h u m a n a n d L = 2.5 m J / k g f o r$ $w a t e r a t b o d y t e m p e r a t u r e)$

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