(a) z = 1– In y (b) 22 = 1. Show the traces as well.

Q: A r&r.'Find y as a function of t if 9y" – 24y' + 7y = 0, and y(5) = 3, y' (5) = 8.

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Q: Write the coordinates of the vertices after a reflection across the line x = 2. F E D -10 10 10 D(3,…

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Q: Identify and sketch the graph of the following equations in R³ (a) x2 + 4y² + z² – 8x + 16y – 2z +…

A: we can add or subtract same amount from a equation to simplify equation. The logarithm function…

Q: what is y(p) with a line on top it ???

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Q: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

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Q: 2. We showed in class that EL (: - T)(y: – 9) can be written as a linear combination of ys: B1 = Gi…

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Q: Graph and shade the domain of f(x, y) = vy + x² – 2.

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Q: (10,14) (10,14) Show that (68) fdx + gdy = f(68) – (35x¹y¹dx + 28y³x³dy) is independent of path: 11…

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Q: 8. T: R? → R? first reflects points through the horizontal x1- axis and then reflects points through…

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Q: +3. . Find the linearization of _9). Can you tell anything about the error? at (3,2). Evaluate at…

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Q: 3. Evaluate f 2xdx + (y + 2)dy along the rectangle with vertices (0, 0), (0,3), (3,3) and (0, 3).

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Q: Suppose that a = xdy is a 1 form and Y(v1, v2, v3) = ((v1 – v3)² (v2 – v3)²) ædy what is "a ?

A: Given α=xdy-----(i)γ(v1,v2,v3)=((v1-v3)2,(v2-v3)2)---(ii) To find γ*α------(iii) from (ii) we…

Q: 3. Find the image of the line y = –2x + 3 under the reflection in the line y = -x.

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Q: 4.2. For the regression model y, = Bo+4 with n=2 and y'=(2, 4), draw the data in two-dimensional…

A: Given, The regression model is: yt = β0 + ∈t   With n = 2 and y' = (2,4)     To find the orthogonal…

Q: Construct the truch table for (pq) (rs)

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Q: Which of the following points are collinear to (1,0) and (3,6)? Show graphically and analytically.…

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Q: 3. Evaluate Se(x² – iy²)dz along the straight lines from (1, 1) to (1, 8) and then from (1,8) to (2,…

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Q: Find y such that (3, y) lies on the line of slope m = 2 through ( 1, 4).

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Q: Compute by hand the natural cubic spline for the data points (2,0), (1, 1), (0, 0).

A: Given data points are: 2 , 0 , 1, 1, 0 , 0. To Find : Natural cubic spline.

Q: 4. Locate the fixed point of x = xy y = x + y and compute the index about the fixed point.

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Q: The correlation between X and Y is calculated and recorded as rxy (and rxy is negative). A linear…

A: 10 From the given information, The correlation between X and Y is calculated and recorded as rxy.…

Q: A bullet follows the trajectory c(t) = (120ł – 30, 250t – 4.9t²). Describe this trajectory in the…

A: x,y=120t-30,  250t-4.9t2 compare x-coordinate x=120t-30 x+30=120t x+30120=t t=x+30120

Q: 34. A half-turn about (3, 2) maps P to P'. Where does this y half-turn map the following points? (3,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 6. Find the x-intercept(s) of y= (x – 7) - 4

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Q: 5. Find the equation that gives the FT of x,(t) * x,(t) * x,(t) where x,(t) is the rectangular pulse…

A: It is given that

Q: 1) Find whether the signals are memoryless or memory? a) y(t) = 5x2(t+2) b) w(t) = (t-9)x(t)

A: a) Given signal is: yt=5x2t+2 Substitute: t=1. y1=5x21+2y1=5x23 So, the output at t=1 depends upon…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.