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Question Number 94210 Answers: 1 Comments: 0

((s(t+Δt)−s(t))/(Δt))

$\frac{s (t + Δ t) - s (t)}{Δ t}$

Question Number 94193 Answers: 0 Comments: 5

Question Number 94191 Answers: 1 Comments: 0

Question Number 94186 Answers: 0 Comments: 1

∫(√(tan x)) dx=?

$\int \sqrt{\tan x} dx = ?$

Question Number 94184 Answers: 4 Comments: 1

∫((x((x−a))^(1/3) )/((x−b))^(1/3) )dx=? ∫(((x−a))^(1/3) /(x((x−b))^(1/3) ))dx=?

$\int \frac{x \sqrt[3]{x - a}}{\sqrt[3]{x - b}} d x = ?$ $\int \frac{\sqrt[3]{x - a}}{x \sqrt[3]{x - b}} d x = ?$

Question Number 94174 Answers: 1 Comments: 3

{ ((x+y = 10)),(((x)^(1/(3 )) + (y)^(1/(3 )) = (5/2) ((xy))^(1/(6 )) )) :} find x &y??

${\begin{cases} x + y = 10 \\ \sqrt[3]{x} + \sqrt[3]{y} = \frac{5}{2} \sqrt[6]{xy} \end{cases}$ $find x & y ? ?$

Question Number 94161 Answers: 1 Comments: 2

∫ (dx/(p+(√(qx+r))))

$\int \frac{dx}{p + \sqrt{qx + r}}$

Question Number 94158 Answers: 0 Comments: 3

Question Number 94148 Answers: 0 Comments: 0

solve cosz =e^z zfrom C

$s o l v e c o s z = e^{z} z f r o m C$

Question Number 94144 Answers: 0 Comments: 2

There is a moving point P in a triangle ABC of which sides are a,b,c and a>b>c find the minimum and maximum of AP+BP+CP

$T h e r e i s a m o v i n g p o i n t P i n a t r i a n g l e$ $A B C o f w h i c h s i d e s a r e a, b, c a n d a > b > c$ $f i n d t h e m i n i m u m a n d m a x i m u m$ $o f A P + B P + C P$

Question Number 94143 Answers: 1 Comments: 3

∫ (dx/((x+(√(1+x^2 )))^2 )) =

$\int \frac{d x}{{(x + \sqrt{1 + x^{2}})}^{2}} =$

Question Number 94135 Answers: 0 Comments: 2

f(x) is a continuous function forall real values of x and satisfies∫_0 ^x f(t).dt=∫_x ^1 t^2 .f(t).dt+(x^(16) /8)+(x^6 /3)+A Find A?

$f (x) i s a c o n t i n u o u s f u n c t i o n f o r a l l r e a l v a l u e s o f x a n d s a t i s f i e s \int_{0}^{x} f (t) . d t = \int_{x}^{1} t^{2} . f (t) . d t + \frac{x^{16}}{8} + \frac{x^{6}}{3} + A$ $F i n d A ?$

Question Number 94134 Answers: 0 Comments: 1

lim_(x→1) ( (1/(x−1)) − (x/(ln x)) ) = ... ( Without L′ Hospital )

$\lim_{x \to 1} (\frac{1}{x - 1} - \frac{x}{\ln x}) = . . .$ $(W i t h o u t L^{'} H o s p i t a l)$

Question Number 94108 Answers: 0 Comments: 0

Question Number 94084 Answers: 0 Comments: 2

∫(√(cotx))dx

$\int \sqrt{\cot x} d x$

Question Number 94081 Answers: 0 Comments: 0

P is the point representing the complex number z = r( cos θ + i sin θ) in an argand diagram such that ∣z−a∣∣z + a∣ = a^2 . Show that P moves on the curve whose equation is r^2 =2a^2 cos2θ. sketch the curve r^2 = 2a^2 cos 2θ , showing clearly the tangents at the pole.

$P is the point representing the complex number$ $z = r (\cos θ + i \sin θ) in an argand diagram such$ $that ∣ z - a ∣∣ z + a ∣ = a^{2} . Show that P moves on the curve$ $whose equation is r^{2} = 2 a^{2} \cos 2 θ . sketch the curve$ $r^{2} = 2 a^{2} \cos 2 θ, showing clearly the tangents at the pole .$

Question Number 94080 Answers: 1 Comments: 0

3.(a) Find the complex number z which satisfy the equation z^3 = 8i , giving your answer in the form a + bi where a and b are real.

$3 . (a) Find the complex number z which satisfy$ $the equation z^{3} = 8 i, giving your answer in the$ $form a + b i where a and b are real .$

Question Number 94079 Answers: 3 Comments: 0

∫_2 ^4 ((3x−2)/(x^2 −4)) dx = ?

$\underset{2}{\int^{4}} \frac{3 x - 2}{x^{2} - 4} d x = ?$

Question Number 94078 Answers: 0 Comments: 0

Given the function f defined by f(x) = ((∣x−2∣)/(1−∣x∣)) (i) state the domain of f. (ii) show that f(x) = { ((((2−x)/(1+x)) , x < 0)),((((2−x)/(1−x)), 0 ≤ x < 2)),((((x−2)/(1−x)) , x ≥ 2)) :} (iii) Investigate the continuity of f at x = 2.

$Given the function f defined by f (x) = \frac{∣ x - 2 ∣}{1 - ∣ x ∣}$ $(i) state the domain of f .$ $(ii) show that$ $f (x) = {\begin{cases} \frac{2 - x}{1 + x}, x < 0 \\ \frac{2 - x}{1 - x}, 0 ⩽ x < 2 \\ \frac{x - 2}{1 - x}, x ⩾ 2 \end{cases}$ $(iii) Investigate the continuity of f at x = 2 .$