Which of the following is a saddle point of th f (x, y) = x³ + y³ + 3y² − 3x − 9y + 2 ○ (1,3) O(-1,-3) O(-1,3) (1,1) None of the given choices

Q: If f(x) = 1 - log5 x, then f-¹(x) =

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Q: 5. Given that f(t) = sint, t=0, 0≤t</2 t≥π/2 T find L{f(t)}.

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Q: Consider the polar curves C₁ and C2, where: C₁ is the upper half of the circle r = cos 0. C₂ is the…

A: It is provided that: C1 is the upper half of r=cosθ and C2 is the petal of r=cos4θ. We need to…

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Q: Given that C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line…

A: Given: Let us consider the given, ∮C-y3+xdx+x3+x2dy

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Q: Ques! a) 4) Solve the following 457 34506) (FF.005) 16 x (2.05€) 16

A: As you asked only 1st two subparts so i answered only that.

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Q: (a) Consider coordinates in the XY-plane, (x, y) with x, y ≥ 0 and a binary relation where (x1, y₁)…

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Q: Question 1 Consider the function f(t) = 3 sec² (t) – 5t³. Let F(t) be the antiderivative of f(t)…

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Q: VII. Let R be the shaded region below enclosed by the curves C₁: 27(y-2) = 2(x − 1)³, C₂: x=4+√4y -…

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Q: 7. Solve for cot - 2 if cos(20) = 4 5 and P(0) E QIV.

A: Cos (2 θ) = -4/5  - 1 + 2 Cos2 θ = -4/5 2 Cos2 θ = 1 - 4/5 = 1/5 Cos2 θ = 1/10 Cos θ = 1/√10 2 Cos2…

Q: Thm. Let v be an inner product Space then and HyE V жує ||≤|12||· 1191/ further equility is hold iff…

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Q: Set up an iterated triple integral equal to √3-1² 2²+² 3 I = 1-[²√²² ² 2-√√4-x²-y² using 1.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment…

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Q: 10. Use Green's Theorem to evaluate the integral fe y dx + 2xy³ dy, where C is the square with…

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Q: Given that C = C₁ U C₂ U C3, where C₁ is the line segment from (−1, −1) to (0, 0), C₂ is the line…

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Q: 4. a) Prove that A i) V=I I+A 1+A ¡¡) fx+nh = Σx=0 (7) 4¹ fx.

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Q: Let f(x) = x³ + 9x² - 21x + 20. (a) Use the definition of a derivative or the derivative rules to…

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Q: 2) Consider a set of points {(-2,-18), (-1, -7), (0, -2), (1, -3), (2, -10)}. a) The least squares…

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Q: +∞ n(3x + 2)" Consider the power series > n³ +4 n=1 1. Show that the series is absolutely convergent…

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