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A heat pump gas C.P = 3, while the indoor temperature is 27°C and the outdoor temperature is 8°C. How much work per hour is required to pump 3.07 J of heat per hour into the individual unit of 10^5 J. |
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lim_(x→y) ((x^n − y^n )/(x − y)) |
∫4x^3 (3x^2 + 2)^5 dx |
how much matrices of integers number A= [(a,b),(c,d) ]if A^2 +A=2I, c=0, det(A)=4 |
how much matrices of integers number A= [(a,b),(c,d) ]if A^2 =I and b=c |
A∈M_(n×n) A^2 =A (I+A)^(−1) =....??? |
Π_(n=1) ^x a_n =9^(x!) a_4 =? |
Prove that ∀x,y∈R ⇒ 1+ ((x^2 +y^2 +xy)/3) ≥ x+y |
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Express : sin(33) in surd form. |
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 |
Pg 1901 Pg 1902 Pg 1903 Pg 1904 Pg 1905 Pg 1906 Pg 1907 Pg 1908 Pg 1909 Pg 1910 |