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Question Number 60459 Answers: 0 Comments: 4

Question Number 60453 Answers: 0 Comments: 0

Question Number 60452 Answers: 1 Comments: 1

Question Number 60450 Answers: 0 Comments: 0

Question Number 60445 Answers: 2 Comments: 1

Question Number 60441 Answers: 1 Comments: 0

If a sum of money doubles itself in a time T, when compounded continuously, find the rate of interest, in terms of T.

$If a sum of money doubles itself$ $in a time T, when compounded$ $continuously, find the rate of$ $interest, in terms of T .$

Question Number 60426 Answers: 0 Comments: 2

the function is considered f(x,y)=e^(xy) +(x/y)+sen((2x+3y)π) Calcule: (∂f/∂x),(∂f/∂y),(∂^2 f/∂x^2 ),(∂^2 f/(∂x∂y)). f_x (0,1),f_y (2,−1), f_(xx) (0,1),f_(xy) (2,−1)

$t h e f u n c t i o n i s c o n s i d e r e d$ $f (x, y) = e^{x y} + \frac{x}{y} + s e n ((2 x + 3 y) π) C a l c u l e :$ $\frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial^{2} f}{\partial x^{2}}, \frac{\partial^{2} f}{\partial x \partial y} . f_{x} (0, 1), f_{y} (2, - 1), f_{x x} (0, 1), f_{x y} (2, - 1)$

Question Number 60425 Answers: 0 Comments: 0

Question Number 60424 Answers: 0 Comments: 2

let z ∈C and ∣z∣<1 find f(x)=∫_0 ^1 ln(1+zx)dx.

$l e t z \in C a n d ∣ z ∣< 1 f i n d$ $f (x) = \int_{0}^{1} l n (1 + z x) d x .$

Question Number 60423 Answers: 1 Comments: 0

Question Number 60422 Answers: 1 Comments: 5

Question Number 60421 Answers: 1 Comments: 0

Question Number 60416 Answers: 0 Comments: 0

Sum the series: ^n C_0 ^n C_1 + ^n C_1 ^n C_2 + ^n C_2 ^n C_3 + ... + ^n C_r ^n C_(r + 1)

$Sum the series : \overset{n}{} C_{0} \overset{n}{} C_{1} + \overset{n}{} C_{1} \overset{n}{} C_{2} + \overset{n}{} C_{2} \overset{n}{} C_{3} + . . . + \overset{n}{} C_{r} \overset{n}{} C_{r + 1}$

Question Number 60413 Answers: 1 Comments: 4

Question Number 60410 Answers: 0 Comments: 2

lim_(x→0) [(x^2 /(tanxsinx))] [.]=grestest integer function

$\lim_{x \to 0} [\frac{x^{2}}{t a n x s i n x}] [.] = g r e s t e s t i n t e g e r f u n c t i o n$

Question Number 60406 Answers: 1 Comments: 0

n ∈ Z^+ , Find the coefficient of x^(−1) in the expansion of (1 + x)^n (1 + (1/x))^n

$n \in Z^{+}, Find the coefficient of x^{- 1} in the expansion of {(1 + x)}^{n} {(1 + \frac{1}{x})}^{n}$

Question Number 60398 Answers: 0 Comments: 3

I am very sorry mr W sir for taking your valuable time thank you very much i got my mistake. I will work on my basics thank you and I am very sorry.

$I a m v e r y s o r r y m r W s i r f o r t a k i n g y o u r$ $v a l u a b l e t i m e$ $t h a n k y o u v e r y m u c h i g o t m y m i s t a k e .$ $I w i l l w o r k o n m y b a s i c s t h a n k y o u$ $a n d I a m v e r y s o r r y .$

Question Number 60386 Answers: 1 Comments: 4

lim_(x→0) ((sin(πcos^2 x))/x^2 ) why it can not be solved this way lim_(x→0) ((sin(πcos^2 x))/x^2 ) =lim_(x→0) ((sin(πcos^2 x))/(πcos^2 x))×lim_(x→0) ((πcos^2 x)/x^2 ) =π × lim_(x→0) ((cos^2 x)/x^2 ) but it is not equal to π

$\underset{x \to 0}{l i m} \frac{s i n (π {c o s}^{2} x)}{x^{2}}$ $w h y i t c a n n o t b e s o l v e d t h i s w a y$ $\underset{x \to 0}{l i m} \frac{s i n (π {c o s}^{2} x)}{x^{2}}$ $= \underset{x \to 0}{l i m} \frac{s i n (π {c o s}^{2} x)}{π {c o s}^{2} x} \times \underset{x \to 0}{l i m} \frac{π {c o s}^{2} x}{x^{2}}$ $= π \times \underset{x \to 0}{l i m} \frac{{c o s}^{2} x}{x^{2}}$ $b u t i t i s n o t e q u a l t o π$