Use the Second Derivative Test to find the location of all local extrema in the interval (-21,-9) for the function given below. f(x) 7(x - 1)² x +9

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Q: Transform the given system into a single equation of second-order x₁ = −5x₁ + 7x2 x₂ = -7x1 - 5x2.…

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A: This is Question of calculus.Here logerithmic equation function is given.We have to summation of…

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Q: Solve for x: 3e³-5 = 4 Just enter the number and give a decimal (rounded) answer to 4 places.

A: To solve for .

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A: Power series.

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Q: If the marginal revenue for ski gloves is R'(x): = -0.7x + 40 and R(0) = 0, find the revenue…

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by fat x = a. 1 f(x) = -— , a=3 X…

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Q: Select ALL matrix multiplications that are valid given the following matrices: A = 1 2 3 2 - 10 B*B…

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Q: Compute the line integral [(x+y)dx-xdy, where C is the arc of the parabola y = x² +1 that goes from…

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Q: The graph of g is given below. 6 5 -6 -5 3 Log(x) dx -6 4 -6 + Use the graph to evaluate each…

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Q: Find the area of the shaded region. ㅇ 쁨 38 3 이렇 이렇 (0, -3) y= (16,1) 3 16 x

A: we need to find the area of the function

Q: 4y" +16y' + 17y= 0, when y = 1, x = 0; y = 0, x=n

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Q: 2. Sketch the graph of the quadratic y=- =-2(x+3)² +8 by using a series of transformations. Show all…

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Q: Use sigma notation to write the sum. X Σ* [[ IM [²(²¹) + ¹] + [²( ² ) + ³] + - + [² (¹) + ¹] [2 [2…

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Q: Find the directional derivative of f(x, y) = sin(a + 2y) at the point (1, 1) in the direction 8 =…

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Q: Find the values of constants a, b, and c so that the graph of y=ax^3+bx^2+cx has a local maximum at…

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Q: Graph this system of equations to find the area between the curve: 2y=4sqrtx y=3 2y+4x=8

A: To draw the graph of the following system of equations to find thearea between the curve.

Q: Graph the following rational function: f(x)= 3x²-12x-15 x²-11x +30

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Q: How would I set up an integral that funds the volume of the cylinder?

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A: Volume of the cylinder:-

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Q: 1. Use Newton's Method to find the third approximation - x3, for the root of f(x) = x³ - x²-1=0.…

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Q: a = (-5,3,7); <6,-8, 27

A: The given vectors are

Q: 16-t -t6 -dt t4 Integrate: /M + C

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A: Given that the function:-

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Q: fx csc x² c X CSC csc x² cot x² dx

A: +C

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Q: (a) Use the figure to find the [ f(x)dx. value of L₁₂ f(x² f(x) dx = -10 f(x) Ax [ 1. 7 in (b) If…

A: We will find

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A: f(x)=ex/4,a=4A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

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Q: 7-year period from 2004 to 2011. D 5

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A: Given: Length of wire for electric fencing is 2400m, and one side of plot is bounded by a river.

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Q: Use Newton's method to find an approximate solution of In (x) = 9-x. Start with xo

A: Here ln(x)+x-9=0Let f(x)=ln(x)+x-9