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

Q: Given the initial value problem 2 y y' + = 0, y(0) = 28, y'(0) = b, 5 25 Find the solution as a…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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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: Determine the partial fraction decomposition for the following expression 7x²17x +38 (x + 6) (x −…

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Q: XD² +8D³² +16) y = _ sinx Ans: Y = C₁ cs2x+C₂ Sin2x + C3 Xcos2x + 4x sin2x = 1/-_sing

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Q: Find a set of parametric equations for the line passing through the point (2, 0, 4) that is parallel…

A: To find a set of parametric equations for the line passing through the point 2, 0, 4 that is…

Q: Find the general solution to the equation y(4) — 4y"”" + 4y″ = 0. NOTE: Use C₁, C2, C3, and c4 as…

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Q: ¹(7x) = 5 for the four smallest positive solutions 4 Solve 6 sin x = 1.25,2.75,71.87,458.37 Give…

A: Given, 6 sinπ4x=5

Q: Determine if the following improper integral converges or diverges. If it converges, find its value.…

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Q: A rectangular field is to be enclosed on four sides with a fence. Fencing costs $7 per foot for two…

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Q: Use the first principles definition to determine the derivative of the following quadratic function:…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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

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Q: The reproduction function for king salmon in a sea is f(p)=p² + 7.5p, where p and f(p) are in…

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Q: 1. For the following sequence, give an explicit formula for the nth term. 4 9 16 25 36 49 1' 3'9…

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Q: □ Solve the following ODES by Undetermined Coeff. ● 4X y - 16 y = 19.2 e + 60 e ₂ y(a) = Y(u) = 4X…

A: To find out the solution using undetermined coefficients.

Q: If r(t) = (2e³t, 4e-3t, 4te³t), find T(0), r"(0), and r'(t) r"(t). T(0) = r"(0) = r'(t) r"(t) =

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Q: 12. DETAILS Find the area of the surface generated by revolving the curve about each given axis. x =…

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Q: Consider the following. f(x, y, z) = x²yz - xyz³, P(4, -1, 1), u = (0, -, -3) - (a) Find the…

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Q: ● Allo U5 (D²-2D +1) y = xe sinx X Ans: y = ₁+ ₂x e t e-xsinx-2 cos x -^/

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Q: Describe at least two (2) similarities found in methods of integration and methods of…

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Q: Consider the following functions. f₁(x) = 0, f₂(x) = x, f(x) = ex g(x) = C₁f₁(x) + C₂f₂(x) + C₂f3(x)…

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Q: Find the optimal Solution of following transportation system formulated below by 1. Simplex method…

A: Let's solve by using simplex method.

Q: Find the area of the surface formed by revolving the polar equation over the given interval about…

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Q: Solve the following ODES by Inverse Operator method An- (D²-2D +1) y = xe sinx Anse y tết xếể…

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Q: Find the work done by the force field F(x, y, z) = 4xi + 4yj + 6k on a particle that moves along the…

A: Explanation of the answer is as follows

Q: 20. Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius…

A: Let's find dimension of rectangle for largest area.

Q: Find the Cartesian coordinates of the given point: (r, 0) = (√3, 4). OA) (₁ (1/2, 1/³) 2 ○ (³,²) B)…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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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: 16 Q4- Solve the following system of ODE dx dt Eaux"> dy dt = y + 1 =x+1

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

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Q: A product sells by word of mouth. The company that produces the product has noticed that revenue…

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Q: Solve the following CDES by variation of parameters method y" + 5y' + 4y = x² e ²x Ans:

A: Given :y''+5y'+4y=x2e2x

Q: 1 (2+ √y)

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Q: +∞ Σ n=1 (x + 1)n η n? + 1]

A: Given: an=x+1n3nn2+1 Now,           limn→∞an+1an=limn→∞x+1n+13n+1n+12+1x+1n3nn2+1…

Q: Given z = f(x, y), x= x(u, v), y = y(u, v), with x(4, 2) = 5 and y(4,2)= 1, calculate zu(4, 2) in…

A: Given that z = f(x,y) , x =x(u,v) , y=y(u,v)  we have to find zu(4,2)

Q: 3/2 1/2 q q 1 2 dq

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Q: 2 Solve the following ODES by Inverse Operator method. 2X (D²³ +1) y = 3 + x +52x Ans : y = C₁ 2²+…

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Q: 3. Find the area of the region bounded by the curves y = x² and y = cos(x). Give your answer correct…

A: The region bounded by the curves y=x2 and y=cos x

Q: र P=Ae+Bex What yp

A: We can answer the question as below.

Q: yP=A ex+Bex шкатур

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Q: √√(y - 3), 1 ≤ y ≤9

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Q: need fast

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A: Given: f(x,y)=x2-2xy+y2

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

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Q: f(x) = { cos x, xpi  which lim does not exist

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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…

Q: Plot the point whose polar coordinates are given: (4, 3π/4). A) B)

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