HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE. Show your complete solutions. 4. √√x² + y² dx = xdy - ydx

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: For the given double integral, sketch the region of integration and write an equivalent double…

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: The given graph

Q: 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2+3* = 4* has a…

A: Question No. (3):To prove the following statement using the Intermediate Value Theorem (IVT):  has a…

Q: For the vectors u = 37 - 8j + 2k and v=4i - 23 - 4k we have ū × v = 28i + 20j +38k. Select one: O…

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Q: If f(t) = (t² + 3t+2) (5t² + 4), find f'(t). 201³ + 45t² + 32t Find f'(2). 40 X

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Q: Given that f(x) = x³h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1). -20 Hint: Use the product rule and the…

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Q: Describe the x-values at which the function is differentiable. x² y = x² - 49

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Q: Simplify: x5/6y2/7x4/34/7 x2/3y1/7 Entry Tip: put the numerator and denominator in parenthesis. Also…

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Q: use implicit differentiation to find dz/dx, where it is defined, if ln(x^2+y^2+xz)=5

A: The given equation  is

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: For the given double integral, to sketch the region of integration and to wrire an equivalent double…

Q: Find f'(1) if f(x)= x + 1 √x + 1 A

A: we need to find the derivative of function at point x=1.

Q: 1 V₁ V2 = 2(+/-+- (1 (v₁/v₂) = 2 sin = -2V²-V²_2₁ Z₁ cos 1 =2²₁√√√√²₁ X Z₁ + V/₂ √/1-(V₁/V₂)² V₂ V2…

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Q: Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 5 r…

A: r=5θ,π2≤θ≤2π

Q: Find the domain of the function f(x, y) = ln(x² + y² - 9) + √-y.

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Q: Solve the equation. 7 X-4 X = 5 2x²5x- 12 X 1 2x + 3

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: Given the following integral and value of n, approximate the following integral using the methods…

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Q: Find B so that AB = 1 = BA, where A = 3 4 5 7

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Q: 0 1 1 3 X g(x) g'(x) 2 33 2 3 25 -2 3 2 0 50 4 -1 0 -3 4 Enter your answer as a whole number (like 6…

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Q: Find the general solution of the first-order linear equation dy dx + 2y = e²x

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Q: 4. Use Calculus to graph g(x)=x² + 4x³. Make sure that your graph shows all intercepts, extrema, and…

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Q: The magnitude of the vector (5,-2, 3) is √/38. Select one: O True O False

A: Given vector is: Let vector

Q: Consider h(t)= 3t+2+4t² Determine the intervals on which h is decreasing. Oh is decreasing on: Oh is…

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Q: Determine the function f satisfying the given conditions. f ''' (x) = 12 f '' (0) = 1 f ' (0) = 2 f…

A: Given that Let

Q: 0 1 X g(x) g'(x) 2 1 3 When x = 7 then D 33 2 f(x) g(x) 25 -2 = 320 3 4 -1 0 -3 2

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4 + x² -…

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Q: The median home value in Texas and Missouri (adjusted for inflation) are shown below. Year Texas…

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Q: Find the length of the arc of the curve-y = (x − 2) = from x = 0 to x = 6

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Q: Given C = x³ – 6x² + 9x +4 13 a) Find C'(x) = Find any critical values of C'(x) b)x= Use interval…

A: Given,

Q: e,f,g

A: By using previous solution sign Table xf'(x)Positive zeroNegativeDNENegativezeroPositive

Q: 1. Use Calculus to find the absolute extrema of f(x)=3x4-4x³ -36x² +28 on the interval [-3,4].

A: By using Calculus to find the absolute extrema of  on the interval .Note: Since the student has…

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. }} dy…

A: To find:-

Q: Find the absolute maximum and absolute minimum of the following function on the given interval. ƒ(x)…

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Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

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Q: The magnitude of the vector (3, -2, 4) is 29. Select one: O True O False

A: The given statement "The magnitude of the vector  is "

Q: For every solution y(x) of the equation y''+ 2y'+ 5y = 0 it is true that limx→∞ y(x) = 0. ?

A: Consider the equation

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

A: Radius = 60cmdr/dt = 0.01 cm/min.

Q: Which polar coordinate pair corresponds to the same point as (-1,)? © (1,4) (1, ²) o None of the…

A: To find the polar coordinate pair that corresponds to the same point as .

Q: Given that f(x)=√√16-x² and g(x)=x+4, what is the rule and domain for (+)(x)₂ Only one item from the…

A: Given,

Q: The function g(x, y) = sin x + sin y has a critical point at (³7, 37). 2 The 2nd partials test…

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Q: Use the parametric curve, and given value for the parameter, to answer the following question. Use…

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Q: The vectors (8, 12, 16) and (6, -9, 12). are parallel. Select one: O True O False -

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Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

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Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√y+3

A: To find and to sketch the domain of the following function.Note: Since the student has posted…

Q: Verify the identity + 1+cos 0 1-cos 0 2 + 2 cot²0

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Q: Consider the following parametric curve. Find dy dx dy dx dy dx = Find the value of X = sin (6t) +…

A: Equation of the line : (y-y1) .

Q: If the governing equation is do + 1 = g(t), what is the solution g 20 dť² when g(6)=0 and when g(t)…

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Q: f has ---Select--- 2 (Order your answers so the x-coordinates are in order from least to greatest.)…

A: Absolute maxima :Absolute maximum is the highest point or value of a function within its entire…