The value of a car, in dollars, is depreciating according to the formula V = 35,000(2.79)-0.06t where t is the age of the car in years. Find the value of the car when it is four and one-half years old to the nearest dollar.

Q: Referring to the pollution data of Table 1: Table 1: Measures of Solids and Chemical Oxygen Demand…

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Q: Use Lagrange multipliers to find the distance from the point (3, 0, -1) to the plane 6x - 4y + 7z +…

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Q: Evaluate (4D5 – 23D3 – 33D2 – 17D – 3)y = 0 - 3x a.y = (C1 + C2 + C3x²)e¯* + (C4x + C5)e7 %3D 3x b.y…

A: Given ODE is: (4D5-23D3-33D2-17D-3)y=0

Q: Find the extrema of f subject to the stated constraint f(x, y) = 3x + 2y, subject to 2x2 + 3y2…

A: Given:- f(x,y)=3x+2y ........................ (1)  and subject to 2x2+3y2=6…

Q: If f (x) = 3x – 4 and g (x) = 2x + 6, find the following. Enter the exact answers. (a) f (g (x)) =…

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Q: The resistances in ohms for a random sample of 20 resistors were recorded as follows: 961 920 990…

A: The given resistance in ohms for a random sample of 20 resistance is,

Q: Derive the Laplace transform for the following time functions: a. u(t) b. tu(t) C. sin wt u(t)

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Q: Solve for the length of x. Make sure your calculator is in degrees. 30 125 40 In order to receive…

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Q: 22. Given the equation 25x2 +9y² – 100x + 72y + 19 = 0 a. Is the equation an ellipse, a hyperbola,…

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Q: Find the Fourier integral representation of the following: |t| 1 (sin(at) () = {gin(r)

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Q: extrema of f(x, y) = 4x + 2y, subject to the constraint 2x2 + 3y2 = 21. %3D

A: letfx,y=4x+2y, gx,y=2x2+3y2-21

Q: 3. Take the Fourier transform of the following PDE and solve for the solution û(k, t) in Fourier…

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Q: 2. The data shown in the table represent the completion time (in minutes) of exams taken by two…

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Q: If ƒ (x) = x²+ 5, find and simplify: (a) f(t+1) = (b) f(t² +1) = (c) f(2) = (d) 2f(t) = (e) (f(t))²…

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Q: Use the table below to find the following values. х 1 3 4 5 f (x) 5 4 3 3 6. g (x) 6 5 3 2 (a) ƒ (8…

A: Given: To find:

Q: Find the shortest distance from the origin (0, 0) to the hyperbola x² +8xy+7y² = 225. HINT. In the…

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Q: Use the CDF Fy(y) to find the following probabilities: a. P[Y < 1] b. Р[Y 2 2] c. P[Y = 1] d. P[Y =…

A: Given data is

Q: Is the following graph bipartite? Why or why not? Justify your answe swer.

A: Yes, the Given graph is a bipartite graph. A bipartite graph is a graph in which the vertex set can…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.