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Question Number 74266 by smartsmith459@gmail.com last updated on 22/Nov/19

p l e a s e k i n d l y h e l p m e w i t h t h e s o l u t i o n s t o t h e s e q u e s t i o n ? v e r y u r g e n t p l e a s e (1) i f d y = x^{3} d x . f i n d t h e e q u a t i o n o f y i n t e r m s o f x

i f t h e c u r v e p a s s e s t h r o u g h (1, 1)

2) G i v e n t h a t t h e v o l u m e v (t) o f c e l l a t a t i m e t c h a n g e s a c c o r d i n g t o

\frac{d V (t)}{d t} = s i n t, w i t h v (t) = 4 . f i n d v (t)

3) G i v e n \frac{d P}{d t} + 3 P = 0 . d e t e r m i n e P (t)

i f p (0) = 4

4) R a d i u m d e c o m p o s e s a t a r a t e p r o p o r t i o n t o t h e a m o u n t

p r e s e n t . i f t h e h a l f - l i f e o f t h e r a d i u m i s

1000 y e a r s . w h a t i s t h e p e r c e n t a g e l o s t i n 100 y e a r s ?

5) C a l c u l a t e t h e p r e s s u r e o f a g a s a f t e r p h a s e

t r a n s i t i o n a t 171 ° K f r o m 101.3 k P a

p r e s s u r e a t 472 ° K t a k i n g R = 0.1886 k J ∖ k g K a n d L = 35.73 k g