dz Let z = r? + y, x = 2st and y =s - t2. Compute for dz and dx %3D at

Q: What is the y-intercept of the equation y = −0.05t + 47? Explain what it means in the practical…

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Q: = 0.11(1 – I) – 0.03I; I € (-0.1,1.1); I(0) = 0.2; I(0) = 0.9 dt dR R - 0.1R; R E (-0.1, 10); R(0) =…

A: 4) a)dIdt=0.1I(1-I)-0.03I; I∈(-0.1,1.1); I(0)=0.2; I(0)=0.9 ⇒dIdt=-0.1I2+0.07I=-0.1I(I-0.7);…

Q: 2. Evaluate the given line integral, (-y,x – y) · dR, where C is the line segment from (1,0) to…

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Q: Obtain the differential equations satisfied by the given puiiicular solution 4. y = e3x- 5e - 1 5. y…

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Q: 2. Evaluate the given line integral, | (-y,x – y) · dR, where C is the line segment from (1,0) to…

A: To find the line integral we use the equation of line segment in parametric form using given points.

Q: Ive the following equations: 1. (D? - 3D + 2)y = 2x3 – 9x? + 6x

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Q: 1 is uniformly continuous. 1+x 5. Clarify that f :R→R defined by f (x)=

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Q: B. Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4%sec?x

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Q: In Exercises 1-3 we refer to linear systems from the exercises in Sketch the phase portrait for the…

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Q: (a) In how many can the set {1; 2; ........; 16} be partitioned such that each part contains 2…

A: (a) Definition : Partition problem is to determine whether a given set can be partitioned into two…

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A: Take the linear Diophantine Equations 5x + 3y = 4  ,x , y ∈ Z

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A: Note:- Some information about Intervals:- Open Interval:- An open interval does not include its…

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Q: I.Let n E N and the functions: fn : [0, 1] → R, fn(x) = So dt 1+t a. Show that for every x E [0, 1],…

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Q: 4s + 12 s2 + 8s + 10 4e 4t + 4te 4t 4et - 4tet Option 4 O Option 1 4e 4t - 4te4t 4et + 4tet Option 3…

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Q: Vx.y" +x = 4, y(0) = 1, y'(0) = 11 %3D %3D

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Q: 3. Insert 3 arithmetic means between and 1. 5. Insert 5 arithmetic means between -10 and 15.

A: This is a problem of counting, discrete math.

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Q: 2. Given the data: 4,5, 7, 7,8, 9, 11, 4, 5, 5, 6, 7, 8, 12, 12, 11, 6, 7 A. Calculate the first…

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

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Q: Evaluate the integral (2cos0+5cos 30)* sin0 d® using Simpson's 3/8 method and dividing the 4. whole…

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Q: 2. The temperature at a point in the plane is given by the function T(r, y) = V+ 2y, where the…

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Q: In Problems 19-36 use Theorem 7.1.1 to find L{f(1)}. 19. f(1) = 2r* 20. f(1) = 1 21. f(1) = 41 – 10…

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Q: 1 7.

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Q: Evaluate the following and express it in polar form. tan(0.2 - jo.6)

A: Solution-:

Q: az Let z = x? + y°, x = 2st, y = s - t, s = u", and t = u sin w. Compute for and %3D

A: Notice that z is a function of x and y; x and y both are functions of s and t ; s and t are…

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A: We need to remove 4 toothpicks so that we get 4 congruent triangles. So, we remove toothpicks one by…

Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4%sec?x

A: The given second order linear differential equation is ,…

Q: („*.) (* ) =(). 2n 2n 2n + 2 (c) Verify that + n +1 n + 1

A: According to the guidelines we are supposed to do one problem

Q: Given: GA = PR Prove: GR= PA STATEMENT REASONS 1. GA PR 2. GA =PR GIVEN ADDITION PROPERTY…

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Q: fn : [0, 1] → R, f„(x)= dt 1+t Show that for every x E [0, 1], this equality takes place: x2 In(1+…

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Q: 2ydx + x(2 + x²y) dy = 0 %3D

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Q: Clarify that f f :(0,1) →R defined by f(x): not uniformly continuous. =-

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Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: Let X be the vector space of all or Can we obtain the norm defined on from an inner product?

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Q: [2(cos 25 +isin 25)]. [5Ccos75+isin 75)]

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Q: 1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3 dy - y = 0 dx + x + 4y dt — 10%; х - | dt

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Q: Q.1) Rewrite the series Em=3 am xm+1 - x Lm=1 amx*S involves xm: 100 as a single power series whose…

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Q: The equation x2 + Bx + y² + Cy + D = 0 is a O hyperbola O parabola O ellipse circle

A: Use the general form of an equation of a conic section.

Q: t, = 1 t2 = 2 t3 = 3 t4 = 4 C, = 11 C2 = 29 C3 = 65 C4 = 125 1 1 1 1 11 1 4 8 29 1 9 27 65 1 16 64…

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Q: B. Enumerate all discontinuities of f and determine their type. type of discontinuity

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Q: Given: f(x, y) = xy + 10; R is bounded by y = x5 and y = 5x Question: What is the average value of…

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