Find the equations of the horizontal and vertical Tangents a. 25x2 + 200x + 16y2 - 160y + 400

Q: Areas

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A: Since you have asked a question with multiple parts in a single request, we would be answering only…

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A: The given polar coordinate -2,-π2

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A: Rational number is a number in p/q form, where q not equal zero.

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A: Use limit property

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A: We have to find out limit

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Q: Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)]° and solve f '(2). Solution: Reason:

A: Solve the following

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A: To evaluate the following integrals.1 ∫cos x+sin x2 dx2 ∫cos33x dx3 ∫tan52x dx

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A: The characteristic equation of the given differential equation is 27m4-18m2+8m-1=0.

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Q: Next Solve the system of differential equations 17x – 8y | y' 36х — 17у æ(0) – 10, y(0) - 23 || The…

A: We have to find the eigen values and eigen vectors.

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Q: 5x+9 e

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A: Let's find.

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A: To graph the given polar equation.r=4 cos θ

Q: 2dt 15. J (E+3)vE +6t-7 arcsec(+c d. arcsin(+c a. 2 Invt2 + 6t -7 +c c. t+3. b. 2 (t2+6t-7)/2 +c 1/2

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Q: Problem #2: Differentiate f(x) = [(2x3 – 8)(5x² – 3x – 9)]° and solve f'(2). Solution: Reason:

A: The given function,      f(x)=2x3-85x2-3x-93

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A: Let's find.

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A: The given equation is: -225x2+100y2+36z2=0⇒-x2602+y2902+z21502=0

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A: The given problem is solved below in detail.

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A: Let's find.

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A: we have to find the derivative

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A: The given problem is solved below in detail.

Q: Written Works. 1. Find the area bounded by the curve y = x2,y 0, x 1 and x = 2. 2. Find the area…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

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A: As we know that; The expression for the average value of the function over the interval a,b is:…

Q: Find the area of the triangle. Round to the nearest tenth. S 16 km 66° R 7.8 km 62.6 km2 11 km2 O 57…

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