The range of the function f (x) = - 4cos & # 178; 2x + 2 is

The range of the function f (x) = - 4cos & # 178; 2x + 2 is

f(x)=-4cos²2x+2
∵-1≤cos2x≤1
∴0≤cos²2x≤1
∴-4≤-4cos²2x≤0
-2≤-4cos²2x+2≤2
F (x) = - 4cos & # 178; 2x + 2
The range is [- 2,2]

The range of function y = 3sin (x + 10 °) + 4cos (x + 40 °)
beijiguxing
Should the last step be to open a root sign? Should the result be [- / 13, / 13]

Y = 3sin (x + 10 °) + 4cos (x + 40 °) = 3sin (x + 10 °) + 4cos (x + 10 + 30) = 3sin (x + 10 °) + 4cos (x + 10) cos30-4sin (x + 10) sin30 = 3sin (x + 10 °) + 2 ＂ 3cos (x + 10) - 2Sin (x + 10) = sin (x + 10) + 2 ＂ 3cos (x + 10) = ＂ 13sin (x + 10 + @) do not need to calculate, so the range is

36+37+38+39+40+41+42+43+44

（36+44）+(37+43)+(38+42)+（39+41）+40=4X80+40=360

Is the product of odd number and even number odd or even?

Even numbers, of course
The result can be divided by 2, no!

（1-115）+（1-135）+（1-163）+（1-199）+（1-1143）+（1-1195）+（1-1255）+（1-1323）+（1-1399）+（1-1483）=______ ．

（1-115）+（1-135）+（1-163）+（1-199）+（1-1143）+（1-1195）+（1-1255）+（1-1323）+（1-1399）+（1-1483）=（1+1+… +1）-（115+135+… 1483）=10-12×（13-15+15-17+… +121-123) = 10-12 × (13-123) = 10-12 × 2069 = 10-1069 = 68069, so the answer is: 68069

How much yen is 1 yuan RMB equal to

Currency name spot buying rate cash buying rate selling rate benchmark price BOC conversion price release date release time
Yen (100 yen) 7.737 7.4981 7.7992 7.6929 7.6929 2011-04-12 09:03:04

Does the square of a - 6A + 9 = (A-3) square (A-3) square need to be decomposed again

No, it's broken down

If the inequality X & # 178; - ㏒ with a as the base, the logarithm of X ＜ 0 is constant within (0,1 / 2), then the value range of a is?

log(a)(x)>x^2 0

How many meters, how many decimeters and how many millimeters are 20 feet, 40 feet, 8 feet, 8.6 feet and 9.6 feet

1 foot = 0.3048 m; 20 foot = 6.096 M = 60.96 decimeter = 609.6 cm = 6096 mm; 40 foot = 12.192 M = 121.92 decimeter = 1219.2 cm = 12192 mm; 8 foot = 2.4384 M = 24.384 decimeter = 243.84 cm = 2438.4 mm; 8.6 foot = 2.62128 M = 2

The square of 49 (x + y) minus the square of 9 (X-Y)

49(x+y)²-9(x-y)²=7²(x+y)²-3²(x-y)² =[7(x+y)]²-[3(x-y)]² =(7x+7y)²-(3x-3y)² =[(7x+7y)+(3x-3y)][(7x+7y)-(3x-3y)] ...