Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v, and w. = (1, 3, 1) v = (0, 6, 6) w = (-4, 0, -4) U= VOT 10 211 ul

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A: Please see the below picture for detailed solution.

Q: 5. Previously we used the recurrence relation dn+1 = 0.5dn + 200, d₁= 200 and the assumption that…

A: Given dn+1=0.5dn+200 and dn→L as n→∞. To find L .

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A: Substitute ln(x)=t

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Q: Find the following derivatives. Express your answer in terms of the independent variables. 2x - 2z…

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Q: (a) to x = 8. Find the area of the region enclosed by y = x² - 4x and y = 2x from x = -2

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Find the maximum and minimum values of f(x, y) = x² + 2y² on the quarter circle x² + y² ≤ 4 with r,…

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Q: What is Part C's answer, it's wrong. Please fix it.

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Q: Convert the point (x, y, z) = (-4, -2, 0) to cylindrical coordinates. Give answers as positive…

A: We can solve this as follows:

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Q: -8 निर्मा -6 -5 -4 9 -1 -1 -2 2

A: The solution is given in step2

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Q: For the sequence, determine if the divergence test applies and either state that lim a does not…

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Q: The first three Taylor polynomials for f(x)=√9+x centered at 0 are po (x)=3, P₁ (x)=3+, and…

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Q: The rectangular coordinates of a point are given. Plot the point. (1, 2) -3 O -3 -2 (r, 0) = -2 -1…

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Q: r- 24. y" +9y = 0; y(0) 25. y"-2y' + 2y = 0; 26. y" - 2y' + y = 0; 27. y"" - 4y" + 7y' - 6y=0; = 1,…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4e* - 3 y(x) =

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Q: Hnd an equation in spherical coordinates for the rectangular equation x² + y² = z² = 0 - Do not…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Solve the given differential equation by undetermined coefficients. y"" - y" - 25y' + 25y = 6 - ex +…

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Q: Decide if the given value of x is a critical number for f, and if so, decide whether the point for x…

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Q: Find the exact length of the polar curve = 2 over the interv < T. Show your work. (No approximation…

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

A: The indicated function y1x is a solution of the given differential equation.By using the reduction…

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A: Given point 4,3π4. Let us plot it in Polar coordinates

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Q: Solve the differential equation by variation of parameters. 1 4 + e* y" + 3y + 2y = Step 1 We are…

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Q: ?. Then the value of the directional derivative in the direction (-3, 4) at the point when (-1, 1)…

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Q: The graph of the function f(x) is M Given the differential equation a' (t) f(x(t)). List the…

A: The equilibrium points are the points where the curve touches or crosses the horizontal axis.   So,…

Q: Use properties of power series, substitution, and factoring of constants to find the first four…

A: Given the function 1+6x-2The taylor series,1+x-2=1-2x+3x2-4x3+...... for -1&lt;x&lt;1

Q: I 44. Solve the initial value problem: EL y""-2y"-y' + 2y = 0; y(0) = 2, y'(0) = 3, y"(0) = 5.

A: The solution is given below

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Q: 4x √x² - 1 2 s dx

A: Solve the integration

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Q: An (D²-2D +1) y = x e sinx X Ans, y tết xếể xsinx-2 cosx = + e

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Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

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Q: Convert the point (x, y, z) = (4, 1, 4) to spherical coordinates. Give answers as positive values,…

A: The spherical coordinates of the point x, y, z is ρ, θ, ϕ where ρ = x2+y2+z2 θ = cos-1zr ϕ = tan-1yx

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A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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A: Given :fx=x6,x≤1x6,x&gt;1to check differentiable at x=1

Q: Question Find dy and evaluate when x = -1 and dx = 0.1 for the function y = 7x² + 5x + 4. Provide…

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Q: Find the direction cosines and direction angles of the vector. (Give the direction angles correct to…

A: Solve the following