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Ghella [55]
3 years ago
13

Find the value of x and y that maximize or minimize the objective function.

Mathematics
1 answer:
kogti [31]3 years ago
3 0
0 > x > 2 and y < 8 - x
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You buy 3 grapefruits for $1.50, a pound of apples for $.79, some grapes for $2.50, and some bananas for $1.21. Find the total c
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In all, the cost would be $6


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Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans
VikaD [51]

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then  f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ =  0.7 + 1.18724

x₂ = 1.88724

 

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

4 0
3 years ago
Katie lunch cost 17 dollars no tax she gave a tip of 18 percent of the cost of lunch what’s the total cost no tax
Pie
Answer: $20.06

To find how much 18% of the cost is, convert the percentage to a decimal by dividing by 100. Then multiply that decimal to the cost.

18/100 = .18 (percentage as decimal)
17*.18 = $3.06 (18% of the cost)
3.06+17 = $20.06 (total price with tip of 18% and cost)
6 0
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