Answer:
The radius is approximately 2 93
<h3>
Answer: 4</h3>
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Explanation:
We'll only focus on points J and K.
J = (3, -6)
K = (-1, -6)
Because these two points have the same y coordinate (which is -6), this means we can ignore those values and subtract the x coordinates
3 minus (-1) = 3 - (-1) = 3 + 1 = 4
Or we could plot points J and K on the same xy grid system, and count out the number of spaces between J and K. You should count out 4 spaces.
This means segment JK is 4 units long.
We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.
To use Euler's method, define
y(i+1) = y(i) + hy'(i), for i=0,1,2, ...,
where
h = 0.1, the step size.,
x(i) = i*h
1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1
2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04
3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232
4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258
5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593
Answer: y(0.5) = 1.4593
Answer:
a) the product is equal to 953.
b) the product is greater than 443.
c) the product is greater than 181.
Step-by-step explanation:
a) 953 × 63/63 = 953
Therefore, the product is equal to 953.
b) 443 × 86/79 = 482.25
Therefore, the product is greater than 443.
c) 181 × 30/28 = 193.93
Therefore, the product is greater than 181.
Hope this helps =)
