Find the domain of the function. (Enter your answer using interval notation.) 5x + 6 X-7 f(x) =

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Q: Compute the discriminant D(x, y) of the function. f(x, y) = x³ + y4 - 6x - 2y² +2

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Q: A rate of change of H is given by d = k(5 + H). When t = 0, H = 4. When t = 3, H = 10. Solve for…

A: A rate of change of H is given by .So,        Given that t=0, H = 4 => H(0)=4and when t=3, H=10…

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Q: 2 x³y² 3. We want to investigate lim (x,y)-(0,0) x² + y² We'll try approaching (0,0) along several…

A: As per guidelines, we can solve only 3 subparts please repost the other parts.

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Graph

Q: Q5. The attractive force between 2 oxygen atoms is given by the equation F = k(ex-6e-2x), where x is…

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Q: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

A: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

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Q: 9-14 Use the method of cylindrical shells to find the volume generated by rotating the region…

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Q: dy 7. a) Prove that, So √at-yt [ro] 4a√2π

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Q: At a college library exhibition of faculty publications, two mathematics books, four social science…

A: We will solve this problem by permutation and combination topic.

Q: If dy = x cos x² and y = -3 when x = 0, when x = π, y = -3.215 2 1.647 6

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Q: Find the Jacobian for x = u²+ 10uv and y I VITETNE limmstan guv²

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Q: The following table gives some of the values of g(x), g'(x), ƒ(x) and ƒ'(x): Use the table to find…

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Q: Problem. 1. Where is the function continuous? Write your answer in interval notation. Show all work.…

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Q: Evaluate the line integral √ (2x³ - y³) dx + (9x³ + y²³) dy where C is the unit circle, and verify…

A: The given line integral is, Where C is the unit circle.

Q: Find the indefinite integral. x²³ ex²-1 dx

A: let

Q: By using double integrals, find the surface area of the portion of that lies inside the cylinder x²…

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Q: Find an equation of the tangent line y(x) of r(t) = (tº, t²) at the point t = 1 (Use symbolic…

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Q: (b) Consider the first order linear differential equation dy Y + dx x-1 = 2 (i) Find the integrating…

A: Consider the first order linear differential equation.(i) To find the integrating factor for this…

Q: (d²x) Q²: L {1²} dt² =?

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Q: (7) A formula for the general term starting with n = 1 of: A) {} B) {} C) (-1)" 3") 472 D) 39 - ) -…

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Q: Evaluate the integral. √(-8si + 5s²j + 2k) ds = a(t)i + b(t)j + c(t)k (Use symbolic notation and…

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Q: 2²4 2²4 The two-dimensional Laplace equation + -= 0 describes the potentials and steady-state…

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Q: Let D be the triangle in the xy plane with vertices at (-2, 1), (1, 0), and (3, 4). Describe the…

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Q: Evaluate the triple integral U= 2x - y 2 +2 ·√² ſ² ſ²*³² ƒ(x, y, z)dxdydz where ƒ(2, y, z) = 2 + 2 3…

A: We have to evaluate the integral.

Q: Find the area of a shape that is enclosed by curves y^2=4x and x^2=4y.

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Q: Smith Pro Company managers received the following incomplete performance report: (Click the icon to…

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Q: Use the graph of y = f(x) to answer the question. For what values of x is f(x) ≤0? -17 (-2,3)…

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Q: 2. Find the limit. Show your steps. (a) lim x18 X √x² + 3x + √√√x² + 2x (b) lim x18 4 (x + 1)¹ (2x²…

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Q: 5π Determine the exact value of sin- 12

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Q: Parametrize the intersection of the surfaces y² - z² = x - 6, y2 + z² = 25 using trigonometric…

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Q: Given f(x, y) = 10√/8x5 + 7y + 2xy, find fz(x, y) = fy(x, y) =

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Q: Compute the derivative (r₁(1) r₂(t)) if r₁(t) = (15,1³,16) r₂(t) = (e²¹, est, e7¹ ) (Use symbolic…

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Q: If an object is moving with v(t) = 3 cos(t) and the position X(0) = 1, what is the position of the…

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Q: Verify Green's theorem for the indicated region D and boundary 3D, and functions P D = [−4, 4] ×…

A: here the given question is P(x,y)=x and  Q(x,y)=y

Q: Solve the following equation for x. 6* = 216

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Q: Find two vectors parallel to v of the given length. v=PQ with P(9,8,0) and Q(8,4,4); length = 33 The…

A: v =  with P(9, 8, 0) and Q(8, 4, 0) Also, length(L) = 33

Q: If f(x) = 3x-2 and g(x)=x+1, then (f(g))-¹(a) equals 01-2 O (3-1) O x-1

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Q: Find all the second-order partial derivatives of the function f(x,y) = 3x + 1y+2: 2²f 11 ах'…

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Q: 10. True or false: the function y= 9=0 horizontal asymptote Jinz (x) x²+3 a has

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Q: Solve the following equations on 0≤0≤2π. 2 cos²x+3sin x = 3 tan²x-1= sec x

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Q: 1 Perform the row operation R₁ and replace R₁ on the following matrix. 2 20016 0803 0056

A: The matrix

Q: Compute the derivative (r₁(1) r₂(t)) if r₁(t) = (t³, 1³, 16) r₂(1) = (e²,est, e71) (Use symbolic…

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Q: Find the distance between the points using the following methods. (1, 5), (4,7)

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