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Question Number 54502 Answers: 0 Comments: 5

In △ABC cos A+cos B+cos C=(3/2) prove that trianle is equilateral

$I n △ A B C \cos A + \cos B + \cos C = \frac{3}{2}$ $p r o v e t h a t t r i a n l e i s e q u i l a t e r a l$

Question Number 54480 Answers: 2 Comments: 0

show that tan α +tan (α+((2Λ^− )/5)) +tan (α+((4Λ^− )/5)) +tan (α+((6Λ^− )/5)) + tan (α+((8Λ^− )/5)) = 5tan 5α

$show that$ $\tan α + \tan (α + \frac{2 \bar{Λ}}{5}) + \tan (α + \frac{4 \bar{Λ}}{5}) + \tan (α + \frac{6 \bar{Λ}}{5}) + \tan (α + \frac{8 \bar{Λ}}{5}) = 5 \tan 5 α$

Question Number 54481 Answers: 1 Comments: 1

Question Number 54473 Answers: 1 Comments: 0

Solve for x: 2^(2x − 4) = x^2

$Solve for x : 2^{2 x - 4} = x^{2}$

Question Number 54472 Answers: 1 Comments: 0

If A, B, C are angle of a triangle, show that tanA + tanB + tanC = tanA tanB tanC

$If A, B, C are angle of a triangle, show that$ $tanA + tanB + tanC = tanA tanB tanC$

Question Number 54468 Answers: 0 Comments: 0

First three terms of the sequence given by a_1 =1, a_n =a_(n−1) +2a_(n−2) are in

$First three terms of the sequence given$ $by a_{1} = 1, a_{n} = a_{n - 1} + 2 a_{n - 2} are in$

Question Number 54466 Answers: 1 Comments: 1

((6+(√((6)^2 −4(1)(10))))/2)

$\frac{6 + \sqrt{{(6)}^{2} - 4 (1) (10)}}{2}$

Question Number 54462 Answers: 1 Comments: 1

Question Number 54460 Answers: 1 Comments: 0

Solve (dy/dx)+3x=5

$S o l v e \frac{d y}{d x} + 3 x = 5$

Question Number 54457 Answers: 0 Comments: 0

Question Number 54447 Answers: 2 Comments: 1

Question Number 54487 Answers: 0 Comments: 0

Question Number 54422 Answers: 1 Comments: 4

The median AD of the triangle ABC is bisected at E, BE meets AC in F, then AF : AC =

$The median A D of the triangle A B C$ $is bisected at E, B E meets A C in F,$ $then A F : A C =$

Question Number 54421 Answers: 2 Comments: 2

If the vector c, a=xi+yj+zk and b=j are such that a, c and b form a right handed system, then c is

$If the vector c, a = x i + y j + z k and b = j$ $are such that a, c and b form a right$ $handed system, then c is$

Question Number 54420 Answers: 1 Comments: 0

Let a=i+j and b=2i−k, the point of intersection of the lines r×a=b×a and r×b=a×b is

$Let a = i + j and b = 2 i - k, the point of$ $intersection of the lines r \times a = b \times a$ $and r \times b = a \times b is$

Question Number 54419 Answers: 1 Comments: 0

If a=i+j−k, b=i−j+k and c is a unit vector ⊥ to the vector a and coplanar with a and b, then a unit vector d ⊥ to both a and c is

$If a = i + j - k, b = i - j + k and c is a unit$ $vector ⊥ to the vector a and coplanar$ $with a and b, then a unit vector d ⊥ to$ $both a and c is$

Question Number 54418 Answers: 1 Comments: 0

The projection of the vector a=4i−3j+2k on the axis making equal acute angles with the coordinate axes is

$The projection of the vector a = 4 i - 3 j + 2 k$ $on the axis making equal acute angles$ $with the coordinate axes is$

Question Number 54417 Answers: 0 Comments: 0

A force of 39 kg weight is acting at a point P(−4, 2, 5) in the direction 12i−4j−3k. The moment of this force about a line through the origin having the direction of 2i−2j+k is

$A force of 39 kg weight is acting at a$ $point P (- 4, 2, 5) in the direction$ $12 i - 4 j - 3 k . The moment of this force$ $about a line through the origin having$ $the direction of 2 i - 2 j + k is$

Question Number 54416 Answers: 0 Comments: 0

Question Number 54413 Answers: 0 Comments: 8

Question Number 54409 Answers: 2 Comments: 1

lim_(x→∞) (√((x^2 +x+1)))−x=? pls solve this

$l i \underset{x \to \infty}{m} \sqrt{(x^{2} + x + 1)} - x = ?$ $p l s s o l v e t h i s$

Question Number 54396 Answers: 1 Comments: 1

Question Number 54388 Answers: 0 Comments: 0

Question Number 54378 Answers: 0 Comments: 3

∫_(π/3) ^(3π/2) [ 2 cos x ] dx =

$\underset{π / 3}{\int^{3 π / 2}} [2 \cos x] d x =$

Question Number 54377 Answers: 0 Comments: 0

∫_(π/3) ^(3π/2) [ 2 cos x ] dx =

$\underset{π / 3}{\int^{3 π / 2}} [2 \cos x] d x =$

Question Number 54376 Answers: 3 Comments: 3

1) calculate f(a) =∫_(−∞) ^(+∞) (dx/(x^2 +ax +1)) with ∣a∣<2 2) calculate g(a) =∫_(−∞) ^(+∞) (x/((x^2 +ax+1)^2 )) 3)find values of integrals ∫_(−∞) ^(+∞) (dx/(x^2 +(√2)x +1)) and ∫_(−∞) ^(+∞) (x/((x^2 +(√2)x +1)^2 )) 4) calculate A(θ) = ∫_(−∞) ^(+∞) (dx/(x^2 +2cosθ +1)) θ is a given real.

$1) c a l c u l a t e f (a) = \int_{- \infty}^{+ \infty} \frac{d x}{x^{2} + a x + 1}$ $w i t h ∣ a ∣< 2$ $2) c a l c u l a t e g (a) = \int_{- \infty}^{+ \infty} \frac{x}{{(x^{2} + a x + 1)}^{2}}$ $3) f i n d v a l u e s o f i n t e g r a l s \int_{- \infty}^{+ \infty} \frac{d x}{x^{2} + \sqrt{2} x + 1}$ $a n d \int_{- \infty}^{+ \infty} \frac{x}{{(x^{2} + \sqrt{2} x + 1)}^{2}}$ $4) c a l c u l a t e A (θ) = \int_{- \infty}^{+ \infty} \frac{d x}{x^{2} + 2 c o s θ + 1}$ $θ i s a g i v e n r e a l .$

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