Answer:
I = ∫₀¹ eˣ dx
I = ∫₀¹ e⁻ˣ dx
Step-by-step explanation:
Trapezoidal rule will be an overestimate if the function is concave up.
We can determine this by looking at the graph, or by evaluating the second derivative. If the second derivative is positive on the interval, the function is concave up.
f(x) = eˣ
f'(x) = eˣ
f"(x) = eˣ
On the interval [0, 1], f(x) is concave up.
f(x) = e⁻ˣ
f'(x) = -e⁻ˣ
f"(x) = e⁻ˣ
On the interval [0, 1], f(x) is concave up.
f(x) = √x = x^½
f'(x) = ½ x^(-½)
f"(x) = -¼ x^(-³/₂)
On the interval [0, 1], f(x) is concave down.
f(x) = sin x
f'(x) = cos x
f"(x) = -sin x
On the interval [0, 1], f(x) is concave down.
Answer:
Go to Mathpapa.com algebra calculator
Step-by-step explanation:
Answer:
m= -9
Step-by-step explanation:
-4(m+3)=24
Use distributive Property: -4m-12=24
Add 12 to both sides: -4m=36
Divide both sides by -4: m=-9
You can check the answer by plugging -9 into m on the original equation.
Answer:
Step-by-step explanation:
I think you mean a² + b² = c², not ca.
a = 10, c = 26
b² = c² - a² = 26² - 10² = 576
b = √576 = 24 ft
