I'm taking the liberty of editing your function <span>v = e5xey: It should be
</span>
<span>v = e^5x^ey, with " ^ " indicating exponentiation.
</span>
Did you mean e^(5x) or (e^5)x? I'll assume it's e^(5x).
The partial of v = e^(5x)e^y with respect to x is e^(5x)(5)*e^y, or 25x*e^y.
The partial of v = e^(5x)e^y with respect to y is e^(5x)e^y.
Answer:
2a) -2
b) 8
Step-by-step explanation:
<u>Equation of a parabola in vertex form</u>
f(x) = a(x - h)² + k
where (h, k) is the vertex and the axis of symmetry is x = h
2 a)
Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):
f(x) = a(x - 2)² - 6
If one of the x-axis intercepts is 6, then
f(6) = 0
⇒ a(6 - 2)² - 6 = 0
⇒ 16a - 6 = 0
⇒ 16a = 6
⇒ a = 6/16 = 3/8
So f(x) = 3/8(x - 2)² - 6
To find the other intercept, set f(x) = 0 and solve for x:
f(x) = 0
⇒ 3/8(x - 2)² - 6 = 0
⇒ 3/8(x - 2)² = 6
⇒ (x - 2)² = 16
⇒ x - 2 = ±4
⇒ x = 6, -2
Therefore, the other x-axis intercept is -2
b)
Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):
f(x) = a(x - 2)² - 6
If one of the x-axis intercepts is -4, then
f(-4) = 0
⇒ a(-4 - 2)² - 6 = 0
⇒ 36a - 6 = 0
⇒ 36a = 6
⇒ a = 6/36 = 1/6
So f(x) = 1/6(x - 2)² - 6
To find the other intercept, set f(x) = 0 and solve for x:
f(x) = 0
⇒ 1/6(x - 2)² - 6 = 0
⇒ 1/6(x - 2)² = 6
⇒ (x - 2)² = 36
⇒ x - 2 = ±6
⇒ x = 8, -4
Therefore, the other x-axis intercept is 8
Answer:
1 more lawn per hour
Step-by-step explanation:
Brian mows one lawn every hour while logan takes 4 hours to mow 2
Brian:
Hr 1 1 Lawn
Hr 2 2 Lawn
Hr 3 3 Lawn
Hr 4 4 Lawn
Logan:
Hr 1 2 Lawn
Hr 2 4 Lawn
Hr 3 6 Lawn
Hr 4 8 Lawn
To divide by a fraction, you multiply by its reciprocal, which you find by flipping the numerator and the denominator. 
Multiply the numerators and the denominators separately. 
Simplify by dividing both sides of the equation by 
. 
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First, you'd work out the centre value
It would be the opposite value to what is in the brackets
Thus, the centre value is (2, -4)
Plot this value on a graph
In order to find the radius, you must square root the 25
Thus, the radius would be 5
Plot some points with a radius of 5 from the centre and then draw the circle
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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