Answer:
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
Step-by-step explanation: See Annex
Green Theorem establishes:
∫C ( Mdx + Ndy ) = ∫∫R ( δN/dx - δM/dy ) dA
Then
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy
Here
M = 2x + cosy² δM/dy = 1
N = y + e√x δN/dx = 2
δN/dx - δM/dy = 2 - 1 = 1
∫∫(R) dxdy ∫∫ dxdy
Now integration limits ( see Annex)
dy is from x = y² then y = √x to y = x² and for dx
dx is from 0 to 1 then
∫ dy = y | √x ; x² ∫dy = x² - √x
And
∫₀¹ ( x² - √x ) dx = x³/3 - 2/3 √x |₀¹ = 1/3 - 0
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
X= 103
180 - 65 = 115
X + 12 = 115
X = 115 - 12 = 103
Answer:

Step-by-step explanation:
tan(30°) = 
cot(30°) = 
sin(60°) = 

Answer:
(1) False
(2) False
(3). False
(4) False
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
(1). Given, 149 + 769 = 819
By calculating 149 + 769 = 918
Hence, False
(2). Given, 556 + 336 = 826
By calculating 556 + 336 = 892
Hence, False
(3). Given, 458 - 248 = 238
By calculating 458 - 248 = 210
Hence, False
(4). Given, 658 - 228 = 438
By calculating 658 - 228 = 430
Hence, False