Answer:
Step-by-step explanation:
Given quadratic function is,
f(x) = (x + 6)(x - 3)
For x-intercept,
Substitute the value f(x) = 0.
(x + 6)(x - 3 = 0
x = 3, -6
So the x-intercepts will be,
(-6, 0) and (3, 0)
For y-intercept,
Substitute the value for x = 0,
f(0) = (0 + 6)(0 - 3)
= -18
Therefore, y-intercept of the given quadratic function will be (0, -18).
Answer:
∫₂⁵ ln(x) dx
Step-by-step explanation:
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln((2n + 3i) / n)
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln(2 + (3/n) i)
The width of the interval is b−a = 3, and there are n rectangles. So the width of each rectangle is 3/n, and the height of each rectangle is ln(2 + (3/n) i).
The ith term is 2 + (3/n) i, so a = x₀ = 2. Therefore, b = 2+3 = 5.
So the region is the area under f(x) = ln(x) between x=2 and x=5.
∫₂⁵ ln(x) dx
Answer:
1232
Step-by-step explanation:
Step 1: 8x14 to find the base
Step 2: Base times Height
Good Luck! And have a great day!
Answer:
NO, It’s not a right triangle
Explanation:
Using the converse of Pythagoras’ theorem if the triangle is right then
Square on longest side = sum of square of the other sides
70^2= 4900
55^2 + 42^2 = 4789
Since 4900 ≠ 4789 not a right triangle