1. Describe the graph of the equation: x2 – 5y2 – 4x – 10y – 46 = 0

Q: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

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Q: Find the indefınite integral and check the result by differentiation. Find the antiderivative whose…

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Q: Determine the exact arc length of the polar curve defined by L= (Remember to type sqrt(x) for √ and…

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Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…

A: According to guidelines,  we must answer only three of the multipart questions given. Please…

Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: Simplify the following expression. X d * J V4+t* dt (Hint: Vi+Pt ,2 1 +t dt = + dt + dx - X -X -X

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Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

Q: Evaluate the definite integral. Si f (æ) dæ, ƒ (x) =47–(7x³+ 13)/x?

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Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

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Q: Q1) Use explicit finite difference method to solve the following differential equati

A: answer is in next step

Q: H.W: vectors u =-2i + 4 j – v5k and v = 2i – 4 j + /5k , find: 1. the vector proj,u 2. the scalar…

A: Given  u=-2i+4j-5k & v=2i-4j+5k

Q: r 0 18. common to = 3 cos 0 and 1=1+cos (

A: Given; r=3cosθ and r=1+cosθ

Q: Current Attempt in Progress Use Green's Theorem to evaluate the integral. Assume that the curve C'is…

A: Using greens theorem

Q: d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Suppose that a, b, and c are unknown constants such that f(x) = x² + ax + b and g(x) = e(3z–3) %3D…

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Q: 12 71. (-5-81) 1-4 1000

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Q: sin sin ³ O de *と

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Q: (a) Put a pair of brackets on the left hand side to make these statements correct. 17-2 + 8-4- 11 -…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Use Green's Theorem to evaluate the integral (3x² – y)dx + 3xdy where C is the circle a? + y? = 1…

A: As we know from the Green's theorem; ∫CMdx+Ndy=∫∫D∂N∂x-∂M∂ydA   Given; I=∫C3x2-ydx+3xdy So, M=3x2-y…

Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Find the limit. lim (t i - 5 j+1² k) i+ i j+ i k lim (t i-5 j+r k) = i %3D

A: This question is based on limits.

Q: 1. Find the solution to the system 4x - Зу +3z %3D 0 2х — Зу + 2z%3 0 бх — 12у + 7z 3D0.

A: “Since you have asked multiple Questions, we will solve the first question for you. If you want any…

Q: Consider the curve defined parametrically by x(t) = cos(t), y(t) = sin(t), te [0, π] (a) For what…

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Q: A particle moves in a straight line with the given velocity v(t) = 24 – 6t (in m/s). Find the…

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Q: 1. [5.1] Determine the equation of a line tangent to the curve of x = 1. f(x) = 5e* +1 at 2. [5.1]…

A: A detailed solution is given below

Q: a) Find a polynomial P(x)= a + a₁x+0₂2² +03x³ +ay 20² +a5 205 of degree 5 such that as = 1, and…

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Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) dx x2 + 1

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: Find your answer below

Q: c. The area between y sin x and the x – axis for 0 < x< a

A: Area between the y=sinx and x axis from x=0 to x=π

Q: H.W: Use the comparison test to determine the following series converge or diverge: 1 3" +5 n=1

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Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 1. Find the distance from the point S(2,-3,4) to the plane x+2y+ 2z =13

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: me origin is 6i + 8j, then the me direction of a = 3i + 4j at

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Q: 4. The volume V of a sphere is directly proportional to the cube of the radius. With k as the…

A: Option D is correct

Q: Determine the exact area between the x-axis and the curve defined parametrically by 2 x(t) = - +² t²…

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Q: Confirm that the force field F(, y) = 2xy°i + 3x²y°j is conservative in some open connected region…

A: If force field is conservative then it is independent of path.

Q: 5. J sinx cos²x dx V1 − cosx -

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Q: Please

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Q: Suppose f(5) - 9 and f'(5) = = - 3. - An object moves along the curve y³ - 3x² f(x) = 5x = 649. For…

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Q: 21 · 8* cos (8*) dx =

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the X-axis. y…

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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t= 0 T(0) : N(0) =

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Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e4x dx %3D - In 2 1 +…

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Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

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Q: 7) Determine the total area bounded between the function y = 1 – x between 1 and 1. -

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Q: 10) Given f'(x) = 3x+ 2x + 1 and f(1) 4, determine ƒ(x). %3D %3D

A: Given f'(x)=3x²+2x+1....(i) and f(1)= 4...(ii)

Q: Find a, and d for each arithmetic series. See Example 8. 61. S20 1090, 920 = 102 www 63. S16-160, 16…

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Q: Exercise (2) - Solve using paper solution. d²y dy 2- - y + x = 0 dx² dx Solve using…

A: Find your answer below

Q: Solve sin(x) = – 0.13 on 0 < x < 2 - There are two solutions, A and B, with A < B= A =

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