Question and Answers Forum

A line is formed by joining the points A(7,0) and B(0,2). Obtain the equation of the straight line joining AC such that the x−axis bisects the angle BAC.

$A l i n e i s f o r m e d b y j o i n i n g t h e$ $p o i n t s A (7, 0) a n d B (0, 2) . O b t a i n$ $t h e e q u a t i o n o f t h e s t r a i g h t l i n e$ $j o i n i n g A C s u c h t h a t t h e x - a x i s$ $b i s e c t s t h e a n g l e B A C .$

Question Number 170427 Answers: 1 Comments: 0

14^b =7^(b−a) 49^(a/b) =?

$14^{b} = 7^{b - a}$ $49^{\frac{a}{b}} = ?$

Question Number 170426 Answers: 2 Comments: 0

Question Number 170416 Answers: 2 Comments: 0

∫(√(4−x^2 ))dx Mastermind

$\int \sqrt{4 - x^{2}} d x$ $M a s t e r m i n d$

Question Number 170415 Answers: 1 Comments: 0

Given x^y =e^(x−y) . find (dy/dx)? Mastermind

$Given x^{y} = e^{x - y} . find \frac{dy}{dx} ?$ $Mastermind$

Question Number 170413 Answers: 1 Comments: 0

Use Trapezoidal rule with ordinate 1, 1.5, 2, 2.5, 3 to compute ∫_1 ^3 ((√(x+1))/x)dx. Mastermind

$U s e T r a p e z o i d a l r u l e w i t h o r d i n a t e$ $1, 1.5, 2, 2.5, 3 t o c o m p u t e$ $\int_{1}^{3} \frac{\sqrt{x + 1}}{x} d x .$ $M a s t e r m i n d$

Question Number 170412 Answers: 2 Comments: 0

If part of the curve y=x+1 from x=1 and x=2 is rotated completely about the y−axis. find the volume of the solid form. Mastermind

$I f p a r t o f t h e c u r v e y = x + 1 f r o m x = 1$ $a n d x = 2 i s r o t a t e d c o m p l e t e l y a b o u t$ $t h e y - a x i s . f i n d t h e v o l u m e o f t h e$ $s o l i d f o r m .$ $M a s t e r m i n d$

Question Number 170411 Answers: 1 Comments: 0

The position of a body at time t (in seconds) is given by s=t^3 −4, what is the velocity and acceleration of the object at time t=5 ? Mastermind

$T h e p o s i t i o n o f a b o d y a t t i m e t (i n$ $s e c o n d s) i s g i v e n b y s = t^{3} - 4, w h a t i s$ $t h e v e l o c i t y a n d a c c e l e r a t i o n o f t h e$ $o b j e c t a t t i m e t = 5 ?$ $M a s t e r m i n d$

Question Number 170410 Answers: 2 Comments: 0

Given y=xe^(−x) , show that (d^2 y/dx^2 )+2(dy/dx)+y=0 Mastermind

$G i v e n y = {x e}^{- x}, s h o w t h a t$ $\frac{d^{2} y}{{d x}^{2}} + 2 \frac{d y}{d x} + y = 0$ $M a s t e r m i n d$

Question Number 170407 Answers: 0 Comments: 0

Question Number 170405 Answers: 0 Comments: 0

Question Number 170404 Answers: 0 Comments: 0

Question Number 170389 Answers: 1 Comments: 7

solve for x∈R x^3 +((3−x))^(1/3) −3=0

$s o l v e f o r x \in R$ $x^{3} + \sqrt[3]{3 - x} - 3 = 0$

Question Number 170388 Answers: 0 Comments: 0

Question Number 170386 Answers: 1 Comments: 2

Find the volume of tetrahedron whose vertices are the points A(2, −1, −3), B(4, 1, 3), C(3, 2, −1) and D(1, 4, 2). Mastermind

$F i n d t h e v o l u m e o f t e t r a h e d r o n w h o s e$ $v e r t i c e s a r e t h e p o i n t s A (2, - 1, - 3),$ $B (4, 1, 3), C (3, 2, - 1) a n d D (1, 4, 2) .$ $M a s t e r m i n d$

Question Number 170384 Answers: 0 Comments: 0

Prove that ∫_0 ^( (π/2)) ln(a−sin^2 (x))dx=πln((√((a−1)/a))+1)+(π/2)ln((a/4)) a>0 Im{a}≠0

$Prove that$ $\int_{0}^{\frac{π}{2}} \ln (a - \sin^{2} (x)) dx = π \ln (\sqrt{\frac{a - 1}{a}} + 1) + \frac{π}{2} \ln (\frac{a}{4})$ $a > 0 I m {a} \neq 0$

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