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Q: Graph the following of linear functions based on the method indicated. x + 3y = 9 (table of values)

A: Given problem:- Graph the following of linear functions based on the method indicated. x + 3y = 9 (t...

Q: 1. Find the general solution of the differential equation: d'y d'y dy + y = 0 dr - dr3

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Q: (y² – xy) dx – x²dy = 0 Ix-

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Q: dx Vx? + 2x + 5

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Q: 3,-2,2]ad ū= कि-5, १ । 22 -> detemine ú x v.

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Q: Find the angle e between the vectors in radians and in degrees. (Round your answer for part (a) to t...

A: The angle between two vectors can be evaluated by: θ=cos-1u·vu v

Q: Give The 15T four nonzero Ternm oF Me Serbes abour ) He) =

A: Given:fx=excos3x

Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: 1. f(x) = (48x* + 24x + 30) 4 -6 6. f(x) = (2x* + 1) 4 %3D - &r + 17) 3 2. f(x) = (4x* + 5x – 8x + 1...

A: solution given below..

Q: 3-4 The figure shows a lamina that is shaded according to the given density function: darker shading...

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe"/x, (3, 0) Vg(3, 0) =

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 7 4x 20y – 4z = -...

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Q: Write the equation in spherical coordinates. (a) 5z2 3x2 + 3у2

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

Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² - y) dy = 0 O 2r? ...

A: Given

Q: x V3x - 5 dx

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: tan?x lim

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z? (5, ...

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Q: Let R be the region bounded by the functions f (x) = -4x2 as shown in the diagram below. Find the ar...

A:   Formula for area

Q: Voter Registration The amount of voters in a city's district should grow at the rate of R(t) = 150...

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Q: 10. Homogeneous Equations: Solve the differential equation: xdy – ydx – x? –- y²dx = 0 O arccos() = ...

A: dydx=y+x2-y2xdydx=yx+1-(yx)2y=vxdydx=v+xdvdxv+xdvdx=v+1-v2x dvdx=1-v2  ...(1)

Q: Question 3 2x2 – 1 lima→0 x2 +1

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Q: If f'(x) and g'(x) exist and f'(æ) > g'(x) for all real æ, then the graph of y = f(x) and the graph ...

A: f'(x) and g'(x) show the slope of function  so here given that slope  f(x) > g(x) so they do not ...

Q: 12 dx

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Q: ind a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3, 1).

A: Given problem:- Find a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3,...

Q: 5. Check if the following is a separable equation. dy * = xy + 1 O variable separable O not variable...

A: The detailed solution is given below Thanks 

Q: The coefficient of z2 in the expression (a +z)5 is 640. What is the value of a?

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Q: 1. x3 + y3 – 2xy = 0, find y'.

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Q: A particle is moving with the given data. Find the position of the particle, s(t). v(t) = t? - 3Vt, ...

A: We have to find S(t). 

Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: The shaded region shown below is bounded by the functions f(x) = -3x2 +8 and g(x) = -1.5x +6 and the...

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Q: Given the function Y(s) (s - 5)4 Use the Laplace Transform table to convert this function into fit)....

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Q: Find the following: 1.) A +B = 2.) A x B =

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Q: find A-1 using Gaussian elimination and check the resul 3 -2 [1 1) A = |1 2 4. 27 1 1 Ans: A-1 = -2 ...

A: Explanation of the answer is as follows

Q: 3. Find the area of the region that lies inside both curves: r = sin 0,r = cos 0 0.8 0.6 0.4 0.2 -0....

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Q: Given the function Y(s) S - 5 Use the Laplace Transform table to convert this function into f(t).

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Q: Given vectors u = (3, –6) and v = (-6, 2) , find the difference v – u and represent the difference g...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: 2. Find the area between the curve x= - y +y + 2 and the y- axis.

A: 2) To find the area between the curve x=-y2+y+2 and the y-axis. The region bounded by the curve and ...

Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: How can i solve this excersice? Hind: It could be, using Taylor. Vat (7a(=)) ×. 1 f(2) nh

A: This is a problem of taylor series calculation. Based on the general formula we will solve the quest...

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (2,...

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Q: x Vx 2 dx

A: Here we have to evaluate         ∫x√(x+2)dx

Q: - partial fraction 1 dx x(x² +1}

A: Let's find. 

Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the fu...

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Q: 1. Separation of Variables: Solve for: y' = yx? x* = y Inc O x* = cy*

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Q: Given vectors u = (-6, 5) and v = (1, –4) , find the difference V – u and represent the difference g...

A: Vector

Q: name one real world example of when you would use a quadratic functions and form an equation name o...

A: To name one real world example when we used quadratic functions and a polynomial.