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Find the first 5 derivatives of cos x1 x Use Maclaurin series to 6 terms?
Wiki User
∙ 14y ago
Cos (aX) = 1 + bX, give value of X in terms of a and b.Practical Problem at site: An arc shape insert- plate of which R was 1250 and D was 625mm and thus S = 2618 (chord length (L)= 2165), has been damaged and flattered.
And site staff gives feedback that it is now D = 525 instead of 625 and Chord length =2280.but this all not match in a geometrical figure. One dimension is wrong. If we consider D= 525 is correct then what is new radius. S=2618 will remain unchanged. Hence if S and D is given what is new R.
By trigonometry and geometrically this relation will arrive like this
S = R . Theta ---------- Equation no. 1
where R is radius of arc and Theta is angle in radians of arc ends at centre and S is length of arc.
second relation if distance of arc centre to chord centre is = D, then
Cos (Theta/2) = (R - D)/R -------------Equation no 2
Simplifying both relation,
Cos (S/2R) = (R-D)/R
Here equation is with one unknown, because S and D is known variables. Only R is to find out.
In Simple form it can be written to solve further this equation is
Cos (aX) = 1 + bX, give value of X in terms of a and b. Please help to solve this simple Equation
R
L/2
D
Theta
Wiki User
∙ 14y ago
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The sum of the first 5 terms of an arithmetic series is 85. The sum of the first 6 terms is 123. Determine the first four terms of the series.?
Suppose the first term is a, the second is a+r and the nth is a+(n-1)r. Then the sum of the first five = 5a + 10r = 85 and the sum of the first six = 6a + 15r = 123 Solving these simultaneous equations, a = 3 and r = 7 So the first four terms are: 3, 10, 17 and 24
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The sum of the first 5 terms of an arithmetic series is 85. The sum of the first 6 terms is 123. Determine the first four terms of the series.?
Suppose the first term is a, the second is a+r and the nth is a+(n-1)r. Then the sum of the first five = 5a + 10r = 85 and the sum of the first six = 6a + 15r = 123 Solving these simultaneous equations, a = 3 and r = 7 So the first four terms are: 3, 10, 17 and 24
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