4. Find the limit of the sequence 3e" + 20n 6e +37 7} or determine that it diverges.

Q: Q21 By using Adjoint method, find the inverse of the following matrix. [1 -3 -1 A= 4 2 LO 2 Add file…

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-2=-2

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Q: السؤال الثالث Question Three * Q3. For the motion vector r(t) = et cost i + et sint j , find: (i) N…

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Q: a. Find the linear approximation for the following function at the given point. b. Use part (a) to…

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Q: • Find the volume generated by revolving area about the given line plane the given

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Q: For the following set of planes, determine which pairs of planes in the set are parallel,…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis 1 y=(8x)…

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Q: c) S xaccainxdx a) = (2x²-1) arcain x + ¥√√√²-x² + C b) 42 (2x² +₁) ancais x + x²√√1-x² + c c) 4…

A: The objective is to find the integration.

Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² +8 x² + 2xy dx…

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Q: Solve the given differential equation by separation of variables. xdx = 2y y =

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Q: Solve all questions Q1: Find and sketch the domain for each function. 1 1. f(x, y) = In(4-x²-y²) 02.…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: 1 Sz Find the indefinite integral S[=1714 14 X 17 0 dx = 3 X 14 X 14 X 1 3 dx.

A: Solution : Given that indefinite integral is

Q: Determine whether the differential equation (7x² - 2xy + 6) dx + (7y² − x² + 7) dy = 0 is exact. If…

A: The differential equation,    7x2-2xy+6dx+7y2-x2+7dy=0

Q: Find y' if y= y' = x5-4x²+4 2 X

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Q: 55,000 Suppose that the demand function for a product is given by D(p) = and that the price p is a…

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Q: f(x) = 2x³ - 3x² − 12x + 6. (a) Find the extreme points of f; (b) Find the point (s) of inflection…

A: SOLUTION-

Q: A particle is moving with velocity v(t) = t2-9t + 18 with distance, s measured in meters, left or…

A: The objective is to find instantaneous velocity and speed at time t=5sec.

Q: Find the solution of each of the following differential equations: a) y'=ye² +2e¹, y(1) = 3 b) 2…

A: I am attaching image so that you understand each and every step.

Q: L (a) √16-²16-²-² 1 dz dy dx Sketch each of the following: the solid E • the projection of E onto…

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Q: 1.  Create a system of linear equations with three equations and three unknowns.     Solve the…

A: The objective is to solve the above question.

Q: 4 Find the linearization of the function f (x) = x² at x = 1. L(x) = Using this linearlization, ƒ…

A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

Q: Find r(t) if r'(t) = 4t³ i + 5t+j + √tk and r(1) = i + j. r(t)

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Q: Jse a graphing utility to graph the function and estimate the limit. Use a table to reinforce your…

A: Using l hospital rule to get limit

Q: 3) √ √6x-x² dx a) 12 (x-3) √ 6x-x² + 2 arcain 2/ arcain X=² X-3 te 3 (x+3) Gx-x2+gain x3tc 3 c) —…

A: solution

Q: -1/3 4/3 (4) Find t(n) for the function t(n) = 3n +4n (4) (n) =

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Q: 8. Find the area bounded by y=ex, y=x² and x=2. a. 3.1 u² b. 4.1 u² c. 5.1 u² d. 6.1 u²

A: Here we have to find the area bounded by the given curves.

Q: dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: To find whether given differential equations are which one of the following in the given options.

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 7x)y², y(0) = 2…

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Q: The triangle inequality is the most common algebraic tool for rigorously proving order…

A: Note:- As you want the answer of 4th statement so i am solving only it.

Q: We wish to find the solution to dy = 26y that passes through the point (x, y) = (1, 3).

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Q: Consider the following. f(x) = { J-7x, X ≤ 4 1x² - 2x + 7, X > 4 Find the x-value at which f is not…

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

A: The function z=fx,y=x2-xy+y2 subject to the constraint x2+y2=8

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Find a basis for the null space of A = [³3 -3 1 2 -1 -2 4.

A: The given matrix: A=3121-3-1-2-1.We need to find a basis for the null space of A.

Q: 5. DETAILS ZILLDIFFEQMODAP11 1.2.012. MY NOTES ASK YOUR TEACHER In this problem, y = c₂ex + c₂e-x is…

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Q: Q2\ By using Adjoint method, find the inverse of the following matrix. [1 0 -31 A= 4 2 -1 LO 3 2

A: As per bartleby guidelines, I can answer only one question. So, kindly repost the question.   2. We…

Q: Q4:B/Simplify Moivre's theorem? [cos 30+ i sin30 15 [cos 0-i sine 1³ [cos 50+ i sin50 ] [cos 20-i…

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Q: Which of the following is the vector equation of a plane that contains the line y+2 *5³-22-3¹ and…

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Q: Find the solution of the given initial value problem in explicit 1 y' = (1 — 11x)y², y(0) = ——— 6…

A: We can solve the given differential equation by using the variable separable method.

Q: Consider the region R bounded by the curves y = 2 sin(2x) and y = 0 in the interval [0,1] with a…

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

A: fx is linear, gx is linear and hx=fxgx

Q: Find the indicated derivative and simplify. -[9x log x6] dx [9x log x] = 9x1 dx

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Q: Find the general solution of the given differential equation. xdy+3y=x²-x dx y(x) = Give the largest…

A: The objective is to solve the above question.

Q: Q2: Find y(2) if D.E as give dy 2. +3y=sin 2x, y(0) = 6 dx Given

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Q: 5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ²…

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Q: (a) (b) 2x3/2 7x² 2 7x + 9 lim x-00 lim x→ 2x3/2 3/2 +9 2x3/2 lim x+00 7√x + 9 7x 11

A: We know that when x tends to ∞, 1x tends to 0.

Q: 3 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

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Q: The following limit gives the derivative of a function f(x) at a point xo: lim h→0 (2+h)³-8 h -8)…

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