Solve the equation for x and y x+v=300 5x+8y=2100

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A: Given: cos(x+y)=x

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Q: 22. u = Vr² + s², r = y + x cos t, s=x + y sin t; ди ди ди əx’dy when x = 1, y = 2, t = 0 dt

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Q: Investigate the convergence of the following series. H.' 2n+5n 2) ΣΗ-1 ILJ! 3n

A: Here, the given series is: ∑n=1∞2n+5n3n Let, an=2n+5n3n; n≥1

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Q: Find the general solution of the differential equation. 4dy + ydx = x²dy

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Q: 46n Nhich of the following angle measure (in radians) is coterminal to an angle with measure 3…

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A: given function : f(x)=log3x and g(x)=2from figure it is clear that intersection of both curve is…

Q: 2-2 +2)Xx+1) (*+1P Option 1 Option 2 1. (x +1) *+2 (x +1) Option 3 Option 4

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A: A detailed solution is given below.

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Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

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Q: (a) Use Green's Theorem to find the line integral over the simple, closed curve C : r(t) = (cos t,…

A: To use green's theorem to find the given line integral over the curve C

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Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

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Q: 1 2 f(t) = 3 Vi+1 2. Given SET A. determine f"(t)

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Q: Find div F and curl F if F(x,y, z) = x°i – 11j + yzk. - div F= curl F=

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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A: The question is a bit unusual, because, the given equation is not a cylinder.  Instead the equation…

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Q: 3. y = In? (csc2x). Find y"

A: y=ln2(csc2x)

Q: 3. Draw an example where ja + D|

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Q: A forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) =…

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Q: Find the moment of inertia of the area bounded by the curve x^2=8y, the line x=4 and the x-axis on…

A: Use moment of inertia concept

Q: Find the unit tangent vector T(t). r(t) = (5 cos t, 5 sin t, 2), Find a set of parametric equations…

A: This question can be solved by applying the concept of unit tangent and line tangent at a given…

Q: 24. (х? + 2х + у) dx + 2dy %3D 0

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Q: 3. Compute f(x)dx 2х if x<1 f(x) = { 4 if x21

A: As we know from the property of the definite integral. ∫abfxdx=∫acfxdx+∫cbfxdx And The Power rule:…

Q: Use a change of variables (Substitution Method) to evaluate the following definite integral. Show…

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Q: Refer to the given below. Find the indefinite integral. Simplify your final answers (Just like how…

A: i)∫(2x3+12x2-5)dx=∫2x3dx+∫12x2dx-∫5dx                                   =2∫x3dx+12∫x2dx-5∫dx…

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Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x %3D and…

A: Moment of inertia with respect to x-axis , Mx= ∫A y2 dA.