Determine the angle of rotation necessary to transform the equation in x and y into an equation in X and Y with no XY-term. 12x + 5/3xy + 17y – 2 = 0

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A: Here we will find whether series is convergent or divergent,

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A: To find the value of the  given integral .

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A: We will evaluate the given integral as shown below

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A: Given query is to find indicated function value.

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A: Consider the differential equation  5y''+y=0

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A: We have to approximate  S=∑n=1∞ 2*(-1) n+1/n!      On expanding this series we get S= 2[1-1/2! +1/3!…

Q: Use the indicated substitution to evaluate the integral. • 7/2 dx, x = 7 sin(0) V49 x2 (Give an…

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Q: ans 늘 sin ()+c 19 -4x² teinx dx I+ x2 dx ans: į sini'Ln'xte 3. sečxdx ensesin 3tanx 15-9tañx dx

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

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Q: Question 6 of 17 Find an equation of the parabola with vertex (1, 4) and directrix x=-3.

A: Given that vertex of parabola (1,4) and directrix x=-3  To find the question of parabola  Again…

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A: Velocity: Let r(t) denote a differentiable vector-valued function that represents a particle's…

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A: The solution is given below

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A: To find the rate of change of area of the triangle formed .

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: Find div F and curl F if F(x, y, z) = 11y°z'i – 14.x°z°j – 7xy*k. | div F= curl F=

A: Given problem:- Find div F and curl F if F(x, y, z) = 11y5 z7 i - 14x6 z8 j – 7xy4 k.

Q: 2 ConseaRa THe REGION BeUND RO BY Y= VX SET SET UP (BUT DU NUT EVALUATE) AN INTEGLAL FormuLA fOR: A…

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A: Solve the given limit question

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A: Given: s(t)=t3-6t2+9t+5,t≥0 d)After breaking once the velocity of the particle becomes zero.i.e. v=0…

Q: Find the radius of cunvergen le and the interva) of convergence Of the Dower series n3n

A: Use the ratio test for checking the convergence .

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Q: Find the exact arc length of the curve x = + 2) ? from y = 1 to y = 5. Enter the exact answer. L =

A: Given problem:-

Q: 00 2+n Does the series converge absolutely, converge conditionally, or diverge? 6+n n=1 Choose the…

A: The given series is: ∑n=1∞(-1)n+12+n6+n Let, an=(-1)n+12+n6+n; n≥1

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A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

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A: Given :