Find the maximum of f(x,y) = 3y2 + 5xy - 3x2

Q: Consider the following. xy + 2x + 5x² = 5 (a) Find y' by implicit differentiation. y' = (b) Solve…

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Q: 10. g(x)= x² +5, 10, 1+x³, x 2; x = 2.

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Q: 27. x²y" + xy + y = 0, y(1) = 1, y'(1) = 2

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Q: . h(x) = x² +5, x³, x < 2 x ≥ 2; x = 2.

A: Given query is to find function is continuous or not at x = 2.

Q: 9. Given vectors u = [3.-6,8] and =[4.-2.-5]. determine **

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A: given integration is I = ∫x4 cos hx5-2 dxthen we have to evaluate it

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Q: dx 2 x√x²-1

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Q: Use integration by parts to evaluate the integral: ∫ e^3x sin(11x) dx

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Q: 0 100 200 300 400 y 125 125 121 114 90 90 95 86 150 Road 100- 50 Stream Road 500 600 700 800 900…

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Q: Find the rule of a quadratic function whose graph has the given vertex and passes through the given…

A: Given: Vertex : ( -2 , -3 )  Point: ( 3 , 97 )

Q: 35. (10-6y+e-3) dx-2dy-0

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

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Q: Find the absolute maxima and minima of the function on the given domain. 13) f(x, y) = x2 - 2x - 2y2…

A: Given function is  f(x,y)=x2-2x-2y2+2y And closed triangular region is bounded by the lines x=0,y=3…

Q: What is the amplitude and phase shift of the equation (1)=0.3cos31+0.2sin3r? O O O A= O A= A= √13 10…

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 3: zeros: 1…

A: Given query is to find the polynomial.

Q: is conservative. a= F(x, y) = 2.x (3.y + 1)i + a.x²j Next find a scalar potential for the vector…

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Q: < Suppose that x and y are related by the given equation and use implicit differentiation to…

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Q: Fill in the Blank Use the following arithmetic sequence for the next fo questions: t₁ = 8 + 13n.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If you invest $20,000 at a rate of 0.5%, how long (to the nearest year) must you wait before your…

A: Formula used A = PertA = amount after time t P = principal amount r = rate t= time

Q: 5 for 5: Calculus AB Day 4 The function f is differentiable on the interval [-2, 12] and consists of…

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Q: Use linear approximation, i.e. the tangent line, to approximate 4.86³ as follows: Let f(x) = 2³. The…

A: f(x)=x3given x=5d dx(xn)=nxn-1

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Q: Let f(x) = 3√x. Use the definition of the derivative (given below) to calculate f'(x). Be sure you…

A: Given f( x ) = 3xf'( x ) = limh→0f( x + h ) - f( x )h

Q: Graph y = -7.38x² + 110.3x-20.3, and from the graph determine the number of (a) relative maximum…

A: The given function y=-7.38x2+110.3x-20.3. We have to sketch the graph of the function and find the…

Q: Compute 1 (x² + 1)(x² + 4) Lo -dx.

A: Given ∫-∞∞1( x2 + 1 )( x2 + 4 )dx

Q: π Find the absolute maximum and minimum of the function f(x,y) = (16x - 4x²) cos y on the…

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Q: Find the distance from the point (-1,9, 3) to the line ä(t) = (2,-2,-4)t + (-6, 6, -1). I ines Tai

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Q: b. y = 4x (2x-1)⁹

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Q: +(1+3) sin.xdy = 0 34. cos x dx + 1 +

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Q: Graphy = -5.32x2 +64.7x-20.2, and from the graph determine the number of (a) relative maximum…

A: To find out the relative maximum and minimum points and also the inflection points.

Q: Factor the GCF from each expression a. 5x³(2x-1)-15x(2x - 1)³ b. -36x²(x+4)³ + 10x³(x+4)

A: Here we have to the factorization.

Q: 3. For the function g(x) = x³ - 2x² -1, at what tangent point is the instantaneous rate of change…

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Q: Learning Target DA3: I can use the Extreme Value Theorem to find the absolute maximum and minimum…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: . 3 = 2x= ܐx dx

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Q: Test the following equation for relative maxima and minima. Use the second-derivative test, if…

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Q: Find the values of A and B that will make the function continuous at x=2. f(x) = A = 2 B= 2x + 3 x…

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Q: *6 = h (A soɔ) — ,,,h(Aus) (8)

A: 1(g) solve Given :sinθy'''-cosθy=9

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Consider the indefinite integral [3 Then the integrand has partial fractions decomposition a b cx +…

A: Given integral:- ∫5x3+7x2+36x+27x4+9x2dx

Q: Find a plane through the points (7,-2,6), (-5,6,-2), (6,-2,1) Calculator Check Answer

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Q: B2) What are all values of p for which the infinite series n' I an nºtl (1+²) (A) p > 1 (B)/p> 2 Ith…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Given s(t)=4t+16t, find (a) v(t). (b) a(t). (c) the velocity and acceleration when t = 2. (a) v(t) =…

A: Given: s(t)=4t2+16t   Concept: The instantaneous velocity at a given time is the derivative of a…

Q: Write an equation for each graph.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: dN A city has a population of 25,000 in 2010 and the expected growth rate is 3.5% per year, that is…

A: Given differnetial equation:- dNdt=0.035N

Q: Evaluate the integral. π/2 9 cos5(x) dx

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Q: Consider the following equation of a quadric surface. y X + + 81 81 a. Find the intercepts with the…

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Q: In finding the area of the shaded region, which direction of slicing would result in having to…

A: area

Q: 2) What are all values of p for which the infinite series (A) p > 1 (B) p> 2 (C) p≥ 2 n +1…

A: The given series is summation of n/(np+1), n from 1 to infinity.