Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y) = y² – x² subject to the given constraint - x² + y² = 1.

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Q: An object is dropped from a height of 124 feet. ti = 0, t2 = 2 (a) Use the position equation s = -16...

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A: Given problem:- Evaluate the integral by first performing long division on the integrand and then wr...

Q: Evaluate the function for the indicated values. f(x) = 6|||| + 3 (a) f(0) (b) f(-2.8) (c) f(4) (d) F...

A: f(x)=6x+3a) For x=0f(0)=60+3f(0)=6(0)+3f(0)=3b) For x=-2.8f(-2.8)=6-2.8+3f(-2.8)=6[2.8]+3f(-2.8)=6(2...

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Q: Let y(x) be the solution to the following initial value problem. dy (In x) y(1) = 1 dx x y? Find y(e...

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Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

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Q: -2 The function graphed above is decreasing on the interval The inflection point is at x = on 2-

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A: topic - definite integral

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A: the integral of above equation is:-

Q: (a) Find the differential dy. y = V 15 + x² %D

A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx = 2x215+x2dy...

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A: The given question has been solved in detail

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A: Given :                                        ∑n=0∞(-1)n+1(n+8)xn       an    = (-1)n+2(n+9)xn+1   ...

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

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A: Question:Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation fo...

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Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

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Q: tan(tan 3x)dx cos? 3xl

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Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: Calculus Question

A: Perform integration

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Q: the following ordinary different is nonlinear? = of them (4) – 2y = 2x – 3y u(4) – x³ y" – 2y' = 2x ...

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Q: Use f(x) = 5x - 6 and g(x) = 4 - x2 to evaluate the expression. (a) f(g(0)) 25x – 30 (b) g(f(0)) -12...

A: f(x) = 5x - 6 g(x) = 4 -x2 now  f(g(0)) = f(4-x2 ) = 5(4-x2 ) -6                           =  20 -5x...

Q: Complete the following table. 2 x2 ±1 +0.5 +0.1 +0.01

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Q: 3 Q 11 -3 -2 -1 1 2 For the above rational function f( x ) = identify the interval on which f is con...

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Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how man...

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: the points Pi(6, 3) P2(-3,-5).

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Q: The alternating series (-1)" . converges. (You do not need to prove this, but you can if you 1 3" n ...

A: Here, the given series is: ∑n=1∞(-1)n13nn Now, the given series is an alternating series with 13nnn=...

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Q: To test this series for convergence n' + 2 You could use the Limit Comparison Test, comparing it to ...

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A: As per our guideline, we are advised to solve first 3 subparts of the question . So please ask other...

Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, whe items in de...

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