Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

Q: Can you please handwrite the answer, I can't read whatever it is he typed.

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Q: -20 -19 -18 -17 -16 -15 -14-15-12-11-10-9-8-7-6-5-4-3-2 Find an equation for the graph above.

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Q: Find the radius and interval of convergence of the power series 】 (−1)” (x+3)” √2n n=1

A: This is a problem related to series and sum calculation. Please follow the procedure given below.

Q: WHAT IS O H|5 Se-5x dx 1 e -5x + C -e e-5x + C -¹e-5x + C 5 e-5x + C

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A: We need to find equation of polar curve.

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A: This is a problem related to derivative. Please follow the procedure given below.

Q: Find ||FI|. F(x, y) = i + j Sketch several representative vectors in the vector field. y O O -4 -2…

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Q: 3X y 2y = 4y + 8y = 2³x + 8x² 2X <-2X Ans: y = ₁2x + ₂xe + cze -25 X -3X 2 —=== ² + x + x + 1²/2

A: This is a problem related to ODE. Based on the general formula and concept we will answer.

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A: The linear operator that annihilates anxn+an-1xn-1+....a0 is Dn+1 The linear operator that…

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A: Given solution, y=c1cos3x+c2sin3x So, y'=-3c1sin3x+3c2cos3x So, y"= -9c1cos3x -9c2sin3x

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Q: Examine the function f(x, y) = x³-9xy+y³ +8 for relative extrema and saddle points.

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Q: Average Cost The total daily cost (in dollars) of producing a mountain bikes is given by C(x) =…

A: Given, C(x)=7000+4x+0.7x2

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A: We have to check if F is conservative or not.

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Q: Use the rational zeros theorem to list all possible rational zeros of the following. g(x) = - 10x³ -…

A: The given polynomial gx=-10x3-8x2+8x-4

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Q: Find the area bounded by the given curves. Use vertical strip x² = y - 1 and x = y - 3

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Q: Let f(x)=√/25 - x The slope of the tangent line to the graph of f(x) at the point (9, 4) is The…

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Q: (8x² y² -2x + 4xy² - x) dx + (2xy + x + 2y + 1) dy = 0

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Q: Exercise (c) Use the results of part (b) to estimate the slope of the tangent line to the graph of…

A: Given.

Q: Consider the following problem. A bicyclist is riding on a path modeled by the function f(x) =…

A: The following question belongs to sort trick question where we are provided with extra information.…

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -90x + 60y + 90z =…

A: Let us know thatWe are aware of the parallel nature of the two lines with direction ratios A1, B1,…

Q: Examine the function for relative extrema. f(x, y) = 2x² + 7y² - 4x − 14y + 12 (x, y, z) = ((No…

A: Given function: fx, y=2x2+7y2-4x-14y+12

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (0,2) 5 4…

A: Please see the below picture for detailed solution.

Q: x, y) u, v) S S u area of the ellipse using the indicated change of variables. 1 V S S 2 u u

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A: topic- limits and derivatives

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: Given 16y''-40y'+25y=0

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. - 1/2 (u = v), y = 1/2 (u…

A: Jacobian ∂(x,y)/∂(u,v)= ∂x/∂u* ∂y/∂v - ∂y/∂u* ∂x/∂v

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: convergence. n=0 (n+1)3 00 n+1 x2+1 n=0(n+1)3 (+1) x^2+1 n=0(n+1)3" 00 1n (3) - Σ In (3) - (n+1) 00…

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A: A detailed solution is given below.

Q: Find the derivative of the function using Chain Rule. Given f(x)=(x²+x-3)√√x²+x-3

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Q: 8 -6 4 수 +

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Q: 7. Determine the intersection, if any, of the planes with equations x +y-z+12=0 and 2x + 4y - 3z…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: a. S ya +1 b+y+cya+1 b. ft² cos 3t dt dy where a 0 and c = 1/(a + 1).

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Q: g'(x) = Find the derivative of the function g(x) = e² 52+3

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