Show that the sequence (1/nk) nen is convergent if and only if k ≥ 0, nEN and that the limit is 0 for all k > 0.

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for the below…

A: The estimated change in area is 515.22 mm2 (rounded to two decimal places).Explanation:We find the…

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A: Here's the solution of the given question. Explanation:

Q: pls solve

A: Answer is in the below box. If you have any doubts at anywhere in the explanation or answer please…

Q: Please answer these three question using differential equation thank you

A: Please find the attached file for details....Thank you...Explanation:

Q: Consider the following time series data Month 1 2 3 4 5 6 7 8…

A: The answers are given below please have a look.Explanation:

Q: Use the chain rule to find and, where First the pieces: శ శీరశౌర And putting it all together: x = =…

A: We need to use chain rule to find derivative.

Q: If ♂ = [m, n, 1] is perpendicular to both a = [4, 1, −2] and ỗ = [2, −3, −8], find m and m

A: Consider the vectors

Q: The incorrect answer is 703.36.

A: The estimated change in area 703.72 mm² (Final answer rounded to 2 decimal places)Explanation:The…

Q: Use the sum formulas to express the following without the summation symbol. 1- 7(n+i)(n-i) n3

A: Given:

Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

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Q: Complete the parametric equations of the line through the points (3,7,-6) and (-5,-2,-8) x(t) = 3-8t…

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Q: Find the equation of the tangent plane to the surface z = cos(3x) cos(4y) at the point (2π/2, -3π/2,…

A: To find the equation of the tangent plane to the surface z = cos(3x) cos(4y) at the point ( 2π/2,…

Q: Suppose that the marginal propensity to save is ds dy = 0.4 1 y + 1 (in billions of dollars) and…

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Q: Find the tangent to y=x²-x+9 atx=1. oy=√x²-x+9 atx=1 is y=0 The tangent to y=√1

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Q: If H (x) = x² (2x-41)

A: H(x)=x2(2x−11−4x)

Q: Jse Simpson's Rule and all the data in the following table to estimate the value of the integral…

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Q: uppose that f and g are functions such that f(5)=3, f'(5)=-2, g(5)=4, and g'(5)=-5. nd h'(5) where h…

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Q: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: 8. Given y = log1/2x: a) Solve for the x-intercepts. b) Explain why the solution to log 1/24 must be…

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Q: 3. Consider the function f(x, y) = 2x² - y² + 4x + 6y subject to x + 2y = 20 a) Write down the first…

A: The given function The given constraint

Q: Find r, T, N, and B at the given value of t. Then find the equations for the osculating, normal, and…

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Q: dy Solve da 319-319 Solve dy = dx x-4 x+1 xy

A: The solutions have been provided.Explanation:

Q: 3x + 8 x²+x+1 (a) Find all partition numbers of f'(x). (Enter your answers as a comma-separated…

A: The given function is

Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph of f passes through…

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Q: What is the equation, in standard form, of the tangent to y=x--at (1, 0)? X

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Q: The area of a circle is increasing at a constant rate of 88 square meters per second. At the instant…

A: The area of a circle is increasing at a constant rate of 88 square meters per second.dAdt=88 square…

Q: O Int O ln x 02 O Inw 5. Evaluate d. dx [" (In w)dw.

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Q: Find all max and mins on the given intervals using the first derivative test. Make sure to show all…

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Q: Does the series converge or diverge? What test do I use to see what value it converges to? What…

A: By the Integral Test, the series  ∑n=3∞​(n−2)23​1​ converges, and it converges to the value…

Q: 5. Use the definition of the derivative to find the slope of the tangent line to the curve y = 2x² -…

A: According to the definition of derivative we can write as follows Given Function

Q: R A region is bounded by two concentric circles, as shown by the shaded region in the figure above.…

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Q: →> Given a [2,-10] and 6 = [-8, 23], find: = →> a. 3a-26 b. a.b. C. a+b d. proj a e. The angle…

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Q: Using the Laplace theorem, find the determinant of the following matrix : D = [2 1 3}/ [4 5 6]/ [7 8…

A: The objective of this question is to find the determinant of a 3x3 matrix using the Laplace theorem.…

Q: Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

A: Question explained below:Explanation:ANSWER :​​

Q: Suppose that an is a sequence of positive numbers such that Σan converges. Let bn be an arbitrary…

A: Regardless of the sequence bn, the series ∑n=1∞​an​bn​converges. This conclusion holds because we…

Q: Solve the initial value problem: y'= 0.03y + 3 y(0) = 30 y(t) =

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Q: 5) Find the general solution of the non-homogenous differential equation: dy = dx x + y +4 4x+4y+8

A: Explanation is given below:(ask in comment for any doubt!! )Explanation:

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a…

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Q: Find the partial derivatives of the function က် ထိ စီ ။ ။ ။ w=v4r2 +882 +7t2

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Q: Suppose that the marginal propensity to consume is dc 0.5 -2y (in billions of dollars) dy and that…

A: Given that the marginal propensity to consume is

Q: Suppose that the marginal propensity to save is ds 0.20 (in billions of dollars) dy and that…

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Q: 6. For the graph below, calculate the following quantities. (a) y'(2) if y(x) = f(x) g(x) y=x) (b)…

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Q: 3) Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4)…

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Q: 7. Let f be function such that f(1)=7andf′(1)=12. Find h′(1) for the function h(x)=f(x)f(x).

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Q: Please answer these question using differential equation but the last question just answer thank you

A: 1st question: option C 2nd question: option D 3rd question: option B 4th question: option…

Q: 10. Find (t) given that å(t) = −32j, v(0) = 600√√3ỉ + 6003, and 7(0) = 0.

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Q: Use implicit differentiation to find dy/dx 2xy-y2 = 1

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Q: 4. Find the area of the region bounded by the graphs of f(x) = x3 + x²-6x and g(x)=2x-x2 A. 20 C. 3…

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Q: Consider the functional S[31, 32] = [ dx [7y² + 24y,y2+21y2² +4y² + 12y1y2+9y3] · - Y₁ = azı 322, y2…

A: Functional separability lets you break down a complex functional (think fancy function) into simpler…

Q: Consider limx-6 f(x), where f(x) = 6x-4. Find a maximum value of 8 such that f(x) 321 <0.004 if…

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