and ₂ Given that the matrix A has eigenvalues ₁ = -6 with corresponding eigenvector V₁ = - = 6 with corresponding eigenvector V₂ = [2²] " find A.

Q: There is no solution, {}. O The exact solution set is x2

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Q: Use the formal definition of the derivative to find f'(x) is f(x)=x²-4x

A: See the details solution in below

Q: Find the indefinite integral. (Use C for the constant of integration.) Jo (20x3 + 8x 5) dx

A: To evaluate the value of given indefinite integral.

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Q: Evaluate (2x² - 4x + 1)² dx. √

A: Given data:- ∫x32x3-4x+12dx

Q: ) Use the Integral Test to determine whether the infinite series is convergent.   ∞ 7n (n2 + 1)3/5…

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Q: a definite integral to find the area under the curve between the given x-values. 1 VX f(x) = from x…

A: Please refer to the image below

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is divide both sides…

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Q: 1. Show the limit lim (r.y) ›(0,0) I 6 +y² does not exist

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Q: 8. At the surface of the earth, g = 9.806 m/s2. Assume the earth to be a sphere of radius 6,371 km,…

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Q: tan (sin-1)=

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

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Q: 2. Evaluate. z²-2i z²-2z+2 lim 1-i 1 + i 1 i as z approaches (1 + i)

A: Solution : Given that     It can be written as

Q: Which one of the following p-series is divergent? S 1 n=1 n√2 n=1 n=1 Σ 1 nπ/3 1 nπ/4 1 ne/2

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Q: Investing: Lesser-Known Stocks The following question is based on the following information about…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime4ti + sin(2t)j + e-2tk…

A: To find the limit of given vector function.

Q: repres

A: Equation of least squares line is given as                            Y = A*X + B, Where,…

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given functio 5s² - 10s + 50 s(s² +25) Your…

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Q: (4) Draw the graph of the function f(x) = 2¹. (5) Draw the graph of the function f(x) = 3.

A: Consider the functions 4)     f(x)=2x5)     f(x)=3x

Q: A graphing calculator is recommended. A company's marginal cost function is MC(x) = 23e-√x/5…

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Q: nsider the parametric equations below. x=²-2, y=t+1, -3 ≤t≤ 3 (a) Sketch the curve by using the…

A: Please see the below picture for detailed solution.

Q: Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. If it…

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Q: Find the curvature K of the curve, where s is the arc length parameter. M03 - (1+²)+(1-2) r(s) K =

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Q: (c) f(t) = -7t-u{t-10}.

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Q: Find the third, fourth, and fifth partial sums of the series. Σ(3) j = 1 (a) third partial sum (b)…

A: The given series is ∑i=1∞12i

Q: 8). Determine whether the series ∞ e3/n n2   n=1 converges or diverges. The series converges.The…

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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Q: Find f '(x) and f '(c). x + 2 X-4' f'(x) = f(x) = (-4x+2) 1-x f' (9) = 4.25 X c = 9 X

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Our Aim is to find the inverse Laplace Transform of the function given below:-L-14s-8s2+ss2+1-(i)

Q: Use implicit differentiation to find y² + 8x³ = 3y - 4x² dy dr

A:

Q: g'(x) = g(x)=√x - Be*

A: Differenciate wrt x

Q: 03. a) b) 2 Q4. lim (e* + 2x)² = c)-2 b) 2 c) e³ d) 1 In 3

A: Accoding to given ,only (4) is solved .Given :limx→0ex+2x1x

Q: Given the equation below, find y = dy dr dy da Now, find the equation of the tangent line to the…

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Q: √79 and the x-axis on the interval [0,27] is revolved about the y-axis. Use a table of integrals to…

A: We are asked to find the volume of the solid is formed.

Q: that makes y continuous but not differentiable by writing the required procedures to that If: X≥0…

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Q: Exercise 2. Plot the graph of the function given in polar coordinates tanh 0-1 r = 2 Write analysis…

A: Given: r=2tanθθ-1since θ>1(radians)

Q: Find all solutions of the equation in the interval [0, 2). (Enter your answers as a comma-separated…

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Q: Question Define Q as the region bounded by the functions u(y) = y +1 and v(y) = y between y = 1 and…

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Q: sider the critical value = 3 obtained from a completely continuous function. We find that 0) = -1…

A: Topic:- function

Q: Evaluate the following indefinite integral. $10 dx f10 dx=

A: We can solve this as follows:

Q: Find given that dt x² + y² = 2x+4y, x = 3 y = 1, and dy dt i dx dt

A: SOLUTION-

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: part

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Q: Find an equation of the tangent plane to the surface x² + 2y² + z² = 175 at the point (5, -5, 10). O…

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Q: Consider the function f(x) = (a) Find the domain of f(z). Note: Use the letter U for union. To enter…

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: Σ 500(1.07)" ΕΞΟ

A:

Q: Suppose (-3,6) is a point on the graph of y = g(x). (a) What point is on the graph of y = g(x + 6) -…

A: Given the point (-3,6) is a point on the graph of y = g(x) It means  6 = g(-3).

Q: Find f for the function z = - 3x6 0 02-30x4 ex ax = ex 7x8 1 8 6x 02-02-63 x = 6xy + 4y2.

A: This question can be solved using the concept of partial derivatives.

Q: Suppose that $50,000 from a retirement account is invested in a large cap stock fund. After 15 yr,…

A: Given P=50000$ After t=15 yrs A= 1,67,325.68$ Formula A=Pert