Answer:
Step-by-step explanation:
You have the following quadratic equation given in the problem:
You must make the equation equal to zero, as following:
Add like terms:
Now, to factor the equation, you must find two numbers whose sum is -2 and whose product is -15. Therefore, you have:
Answer:
July
Step-by-step explanation:
Took terst
You can solve this using trigonometric functions.
The angle between the fish and the ground is
tan θ = 100 / 50
θ = tan-1 (2)
θ = 63.43°
The height of the bird before it dropped the fish is already given, which is 100 yards.
(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.
(b) converges; we have
4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)
As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.
(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.
The answer would remain the same.
Why: There are no like terms, the coefficients nor the exponents are alike.
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