Answer:
if u put that in latin then in spanish then back in english then someone might actually be able to answer that
Step-by-step explanation:
Answer:
circle of diagram (89).&"71
Answer:
b) The measure of angle B is 117°.
Step-by-step explanation:
Angles A and C are vertical angles, so are congruent. Angles C and 27° total 90°, so ...
∠C = 90° -27° = 63° . . . . . not 53°
The measure of angle B is the supplement of angle A or C, so is ...
∠B = 180° -∠C = 180° -63°
∠B = 117°
Only choice B is correct.
Step-by-step explanation:
(a) ∫₋ₒₒ°° f(x) dx
We can split this into three integrals:
= ∫₋ₒₒ⁻¹ f(x) dx + ∫₋₁¹ f(x) dx + ∫₁°° f(x) dx
Since the function is even (symmetrical about the y-axis), we can further simplify this as:
= ∫₋₁¹ f(x) dx + 2 ∫₁°° f(x) dx
The first integral is finite, so it converges.
For the second integral, we can use comparison test.
g(x) = e^(-½ x) is greater than f(x) = e^(-½ x²) for all x greater than 1.
We can show that g(x) converges:
∫₁°° e^(-½ x) dx = -2 e^(-½ x) |₁°° = -2 e^(-∞) − -2 e^(-½) = 0 + 2e^(-½).
Therefore, the smaller function f(x) also converges.
(b) The width of the intervals is:
Δx = (3 − -3) / 6 = 1
Evaluating the function at the beginning and end of each interval:
f(-3) = e^(-9/2)
f(-2) = e^(-2)
f(-1) = e^(-1/2)
f(0) = 1
f(1) = e^(-1/2)
f(2) = e^(-2)
f(3) = e^(-9/2)
Apply Simpson's rule:
S = Δx/3 [f(-3) + 4f(-2) + 2f(-1) + 4f(0) + 2f(1) + 4f(2) + f(3)]
S ≈ 2.5103
Answer: $10
Step-by-step explanation:
Given
Robin and his four friends bought tickets for 
each
If each one of them bought a calculator then the total spendings are 
Suppose the cost of each calculator is 
Cost per person is given by 
For the group, it is 
Equate this to total spendings
thus, the cost of each calculator is 
