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Question Number 170212 Answers: 3 Comments: 0

which rectangle with integer length side have numerically the same area and perimeter? Find them all. Find a proof that convinces that you have found them all. what about right− angled triangle? how many solutions?

$which rectangle with integer length$ $side have numerically the same area$ $and perimeter ? Find them all . Find$ $a proof that convinces that you have$ $found them all . what about right -$ $angled triangle ? how many solutions ?$

Question Number 170211 Answers: 1 Comments: 0

lim_(x→0) (((tan^(−1) (((x−x(√(1−x^2 )))/( (√(1−x^2 ))+x^2 ))))/x^3 ))=? pleas solve this

$\lim_{x \to 0} (\frac{{t a n}^{- 1} (\frac{x - x \sqrt{1 - x^{2}}}{\sqrt{1 - x^{2}} + x^{2}})}{x^{3}}) = ?$ $p l e a s s o l v e t h i s$

Question Number 170206 Answers: 2 Comments: 0

1. { ((y^(log_x y) =x^4 )),((log_2 (y−x)=1)) :} 2. 25^(−x) −5^(−x+1) ≥50

$1 . {\begin{cases} y^{{l o g}_{x} y} = x^{4} \\ {l o g}_{2} (y - x) = 1 \end{cases}$ $2 . 25^{- x} - 5^{- x + 1} ⩾ 50$

Question Number 170205 Answers: 1 Comments: 0

If x is nearer a than b in [a,b], is (√x) necessarily nearer (√a) than (√b) Give a proof of counterexample

$If x is nearer a than b in [a, b],$ $is \sqrt{x} necessarily nearer \sqrt{a} than \sqrt{b}$ $Give a proof of counterexample$

Question Number 170203 Answers: 1 Comments: 0

solve: 5^(lgx) =50−x^(lg5)

$s o l v e : 5^{l g x} = 50 - x^{l g 5}$

Question Number 170202 Answers: 0 Comments: 10

A point is 3cm, 4cm and 5cm away from three vertices of a rectangle. How far can it be from the 4th vertex. Find all solutions

$A point is 3 cm, 4 cm and 5 cm away$ $from three vertices of a rectangle .$ $How far can it be from the 4 th vertex .$ $Find all solutions$

Question Number 170199 Answers: 1 Comments: 0

Find the first four terms of the series for e^x sinhx Mastermind

$F i n d t h e f i r s t f o u r t e r m s o f t h e s e r i e s$ $f o r e^{x} s i n h x$ $M a s t e r m i n d$

Question Number 170198 Answers: 1 Comments: 0

Find the first three term of the series for e^x ln(1+x) Mastermind

$F i n d t h e f i r s t t h r e e t e r m o f t h e s e r i e s$ $f o r e^{x} l n (1 + x)$ $M a s t e r m i n d$

Question Number 170197 Answers: 1 Comments: 0

Question Number 170196 Answers: 0 Comments: 0

Question Number 170311 Answers: 1 Comments: 0

5(dy/dx)=tan(2x+2y+6) Mastermind

$5 \frac{d y}{d x} = t a n (2 x + 2 y + 6)$ $M a s t e r m i n d$

Question Number 170189 Answers: 0 Comments: 2

Question Number 170185 Answers: 0 Comments: 1

Question Number 170184 Answers: 0 Comments: 0

Question Number 170183 Answers: 0 Comments: 0

Question Number 170182 Answers: 1 Comments: 1

lim_(x→0) [x∙sin(1/x)]=?

$\lim_{x \to 0} [x \cdot s i n \frac{1}{x}] = ?$

Question Number 170181 Answers: 1 Comments: 0

Question Number 170166 Answers: 1 Comments: 1

lim_(x→0) ((1/(sin^2 x))−(1/x^2 ))=? please solve it describely.

$l i \underset{x \to 0}{m} (\frac{1}{{s i n}^{2} x} - \frac{1}{x^{2}}) = ?$ $p l e a s e s o l v e i t d e s c r i b e l y .$

Question Number 170187 Answers: 1 Comments: 3

Question Number 170159 Answers: 1 Comments: 0

lim_(x→4) ((e !x−24)/( (√x)−2))=?

$\lim_{x \to 4} \frac{e! x - 24}{\sqrt{x} - 2} = ?$

Question Number 170155 Answers: 1 Comments: 0

Given f(x)=x(√(1−x+(√(1−x)))) where 0≤x≤1 find max f(x)

$G i v e n f (x) = x \sqrt{1 - x + \sqrt{1 - x}}$ $w h e r e 0 ⩽ x ⩽ 1$ $f i n d m a x f (x)$

Question Number 170154 Answers: 0 Comments: 0

Question Number 170150 Answers: 1 Comments: 0

Question Number 170148 Answers: 1 Comments: 0

Question Number 170255 Answers: 1 Comments: 0

(d/dx)[∫_2 ^x e^t^2 dt=?

$\frac{d}{d x} [\int_{2}^{x} e^{t^{2}} d t = ?$

Question Number 170143 Answers: 0 Comments: 3

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