- 5.2 Optimizationap Calculus Definition
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You are currently using guest access AP Calculus AB - L. Home; Courses; High Schools; V. Eaton High School; Math. Mac makeup manual free downloads. 5.2.2 Numerical Experiments Figure 3 shows the results obtained on a multispectral image of size 256 × 256 (N = 2562) with 3 channels (m = 3) and pixel values in the range 0,255. Ryan donaldsonthe initials game. These im-ages are corrupted by white Gaussian noises with stan-dard deviations σ1 = 11, σ2 = 12, and σ3 = 13 (the cor-responding SNR values are indicated in Fig. Ap calculus bc unit 2 review.
The first step to optimization problems is setting up equations that characterize the constraints under which you are working. In this problem, the total weight of the nuts and bolts must add up to 100kg.
0.5*x + 0.5*y = 100
Next, assign a variable to the quantity (say R for revenue) that you are trying to maximize, and write down a mathematical expression for it in terms of dependent variables (# nuts, # bolts).
![Optimizationap Optimizationap](/uploads/1/3/7/3/137346365/359476274.jpg)
Revenue = (# nut)*(cost per nut) + (# bolts)*(cost per bolt)
R = -3*x^2 + 500*x - y^2 + 300*y
Now, use the first equation to rewrite the second equation in terms of one variable. For example, let's rewrite R in terms of x only.
R = -3*x^2 + 500*x - [(100 - 0.5*x)/0.5]^2 + 300*[(100 - 0.5*x)/0.5]
5.2 Optimizationap Calculus Definition
This allows you to maximize R with respect to x. The steps to maximization are:
![Calculus Calculus](/uploads/1/3/7/3/137346365/203181834.jpg)
2. Set dR/dx = 0 and solve for x. There may be multiple solutions.
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3. Determine which values of x (from step 2) give you the largest R.
5.2 Optimizationap Calculus Solver
If you have other questions about optimization problems, please feel free to contact me for tutoring. I am located in the South Bay and also available for online tutoring.