Answer:
Step-by-step explanation:
<u>Initial coordinates and transformations:</u>
- (x, y) → (4x, 4y) → (3x, 3y)
- A(-1, -1) → A'(-4, -4) → A''(-3, -3)
- B(1, 1) → B'(4, 4) → B''(3, 3)
- C(2, 0) → C'(8, 0) → C''(6, 0)
Step-by-step explanation:
∫₀² x f(x²) dx
If u = x², then du = 2x dx, and ½ du = x dx.
When x = 0, u = 0. When x = 2, u = 4.
∫₀⁴ ½ f(u) du
½ (16)
8
F(1) = -2
hope it helps
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all students = 150
M = 60
S = 45
M and S = 25
(a) At least one of the two requirements:
M or S = M + S - (M and S) = 60 + 45 - 25 = 80
(b) Exactly one of the two requirements:
(M or S) - (M and S) = 80 - 25 = 55
(c) Neither requirement:
(all students) - (M or S) = 150 - 80 = 70