Evaluate ²₁ √√4x² (x² + y²) dy dx by changing to polar coordinates. (Use symbolic notation and fractions where needed.) [ f(r, 0) dr do =

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A: As per the rules we are supposed to answer the first part and rest can be reposted.

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A: Let θ1 = angle between horizontal and line formed by cow eyes and upper end of billboard θ2 = angle…

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A: Given limx→∞ x + 5x26x - 1

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A: Given query is to find the smallest and largest value of y.

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A: Given f(x) = -9cos17-9x

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A: As we know that sum of geometric series a+ar+ar2+···· for first term a and common ration r is a1-r

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A: NOTE: Refresh your page if you can't see any equations. . Kepler's third law is given by where…

Q: 49. Suppose that ƒ(5) = 1, ƒ'(5) = 6, g(5) = −3, and g'(5) 2. Find the following values. (a)…

A: I am attaching image so that you understand each and every step.

Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

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Q: Enter the exact answers. The field below accepts a list of numbers or formulas separated by…

A: Given equation is Quadratic equation   3x2-5x+1=0

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A: To determine whether the given integral converges or diverges.

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Q: 7. Sketch the graph of a continuous function with domain [-2,8] that has (a) absolute maximum 2,…

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Q: For any arbitrary vectors u, v and w, prove that (u × v) × w = u × (v × w) if and only if (u × w) ×…

A: We have to prove (u × v) × w = u × (v × w) if and only if (u × w) × v = 0.

Q: (e) sin(2x) sin(x) dx.

A: ∫sin2xsinxdx

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A: we need to write down the domain.

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A: Given query is to find indicated limit and asymptotes.

Q: 1. Consider the graph of the function f (x). (a) Find all the points where f(x) is discontinuous.…

A: Topic = Function

Q: State the possible rational zeros for each function 4.) f(x) = 5x³-2x²+20x-8

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

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Q: Divide the rational expressions. p²-p-2 p²-3p+2 2p2+3p+1 p2+5p-6 ÷ Enclose numerators and…

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Q: Use trigonometric identities to simplify the expression. sin^2(α)+sin^2(α)cot^2(α)

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Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

A: The given equation is; ( D2 - 2D + 10 ) y = 0

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A: Given is to find the derivative.

Q: Given cosa = - -, tanp 9) cos(a - B) = and a and ß are not in Quadrant II. Evaluate the following:…

A: Given:     cosα=-35 From Pythagoras theorem     sinα=45     tanα=-43      tanβ=-512       From…

Q: "hich of the following statements is true of f(x)= -x³-6x²-9x-2? A. fis increasing on (-3,-1) B. fis…

A: We will find the required.

Q: Juanita wishes to have a rectangular garden in her backyard with an area of 60 ft2. Find the…

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Q: 51. If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x).…

A: We need to find u'(1) and v'(5)

Q: Use trigonometric identities to simplify the expression. 1/sin(t)csc(-t)  or  1 *over*…

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Q: 4. y=q₁x² +c₂e²x 5. cx² + x + y² = 0

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Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

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Q: Solve the Concept of Complete general solution of the differential equation, using the Substitution…

A: Please see the below picture for detailed solution .

Q: Use the sum and difference identities to determine the exact value of the following expression.…

A: I am attaching image so that you understand each and every step.

Q: In problems 16-19, solve the given initial-value differential equations. √1-x²y' = xy_y(3) = 2e 를…

A: Question number 19We need to find the solution of the differential equationxy'-y=lnx given y(e)=3

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A: Graph of the function is given We have to find v=∫05f(x) dx.

Q: Use the following information to answer questions 8 and 9: Let y=f(x) be a function with its first…

A: Given that,

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Q: Given the graph of f(z) above, find the following limits. (a) (b) lim f(z) - 1-4-00 lim f(z) = 6 818…

A: Topic :- limit calculus

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Q: Convert the rectangular coordinates to polar coordinates with r > 0 and 0 ≤ ? < 2?.   (-√6, -√2)…

A: Given query is to convert rectangular to polar coordinates.

Q: 11. Use the graph of f given below to find f(8). -10 -10 10

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Q: Suppose f is a continuous function where f(x) > 0 for all x, f(0) = 4, f'(x) > 0 if x 2, f'(x) 0 if…

A: Note the remarks according to given features of the function. fx&gt;0 for all x, i.e., the function…

Q: Garland Mills purchased a certain piece of machinery 4 years ago for $500,000. Its present resale…

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