Answer:
Step-by-step explanation: First figure what’s in the parentheses. (3-2*2) wanna do 2*2 That’s 4 then (3-4) = -1. 2+(-1)*1. Then multiply -1 by 1 which is -1. Then 2+(-1)= 1
Answer:
1.) 9
2.) 20
Step-by-step explanation:
1.) 39 is incorrect because they didn't follow the PEMDAS rule.
They subtracted 2 from 15 which is 13, and then they multiplied 13 by 3.
<u>The correct way is to multiply 2 times 3 which is 6, and then subtract 6 from 15 which is 9.</u>
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2.) 12 is incorrect because they didn't use PEMDAS.
They added 8 to 16 which is 24, and then divided 24 by 2.
<u>The correct way is to divide 8 by 2 which is 4, and then add for to 16 which 20.</u>
Cos^2(x) sin^4(x) = 1/2(1 + cos(2x)) * (1/2(1 - cos(2x))^2 = 1/2(1 + cos(2x)) * 1/4(1 - 2cos(2x) + cos^2(2x)) = 1/8(1 + cos(2x))(1 - 2cos(2x) + 1/2 + 1/2cos(4x)) = 1/16(1 + cos(2x))(3 - 2cos(2x) + cos(4x)) = 1/16(3 - 2cos(2x) + cos(4x) + 3cos(2x) - 2cos^2(2x) + cos(2x)cos(4x)) = 1/16(3 + cos(2x) + cos(4x) - (1 + cos(4x)) + 1/2cos(6x) + 1/2cos(2x)) = 1/32(4 + 3cos(2x) + cos(6x))
Answer:
(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.
Step-by-step explanation:
