Question and Answers Forum
AllQuestion and Answers: Page 1907
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Question and Answers Forum |
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AllQuestion and Answers: Page 1907 |
| Solve simultaneously x + y − (√(xy)) = 3 .......... (i) (√(x + 1)) + (√(y + 1)) = 4 .......... (ii) |
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| How Can we expand (a+b)^(1/2) and (a+b)^(−n) ? |
| prove that for all x ∈R, e^x ≥x^e |
| The slope of a curve is, 7x + 3 and it passes through the point (2, 4), Find the equation of the point |
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| 4x=60 |
| show that: ((2n)/(2n+1))=1−(1/(2n+1)) via power series, and other methods |
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| The radius of the moon is (1/4), and its mass is (1/(81)) that of the earth. If the acceleration due to gravity on the surface of the earth is 9.8m/s^2 . What is its value on the moon′s surface. |
| ∫x^5 ((√(x^3 + 1))) dx |
| If S_1 , S_2 , S_3 be the sum of n, 2n, 3n terms respectively of an AP, then |
| A gas occupies 30 dm^3 at s t p, what volume will it occupy at 91°C and 380 mmHg |
| A motorcyclist, passing a road junction , moves due east for 8 seconds at a uniform speed of 5 m/s. He then moves due north for another 6 seconds with the same speed. At the end of 6 seconds his displacement from the road junction is 50 m in the diretion of A) 53°E (B) 37°E (C) 53°W (D) 37°W |
| If a force of 200N is used to pull a block of mass 30 kg up a plane inclined at 60° to the horizontal at a steady speed . Calculate the percentage efficiency of the incline plane. |
| A load of 60 kg is pushed up a 400 m incline side of a platform 3 m high. what is the velocity ratio of the plane ? |
| A∈M_(2016×2016) with the entries a_(ij) {_(0, if i+j≠2016) ^(1, if i+j=2016) find the determinant?? |
| A , 2B ,3C ,4D are positive numbers forming a geometric series prov that : (A + 3C) (B + 2D) > 2 |
| The solution of the equation x^2 + x + 1 = 1 is |
| ∫(dx/(√(5 + 4x − x^2 ))) is this answer correct ? −ln[1/4(x − 5) − ln6(− 1 − x)] + C |
| ((7!)/(6!))+((8!)/(7!))+((9!)/(8!))+...((n!)/((n−1)!))=84 ⇒n=? |
| Let a and b be two numbers, x be the single arithmetic mean of a and b. Show that the sum of n arithmetic means between a and b is nx. |
| If the sum of first p terms, first q terms and first r terms of an AP be x, y and z respectively. Then (x/p)(q−r) + (y/q)(r−p) + (z/r)(p−q) is |
| given that y=Acos5x + Bsin5x, show that (d^2 y/dx^2 )+25y=0 |
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