Determine whether the series sum. 1 12 16 3 4 The series is divergent. n=1 4n-1 is convergent or divergent. If it is convergent, find its

Q: dv -x +z=lz N

A: Given :dvdz=e-xz

Q: H.W (5) Solve the following differential equations of (3x² - 6xy) dx +(-3x²-2y) dy=0

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Q: the intervals on which the function is increasing, the intervals on which it is decreasing, and the…

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Q: Assume x and y are functions of t. Evaluate dt dx 3 y = 2x +93, dt = 2, x = 5, y = 7 (Round to two…

A: Given: y3=2x3+93 ; dxdt=2, x=5, y=7.

Q: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

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Q: While buying a new car, Derek made a down payment of $1,000.00 and agreed to make month-end payments…

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Q: 2x dA over the region R Find ₁² of a solid {(x, y) |0 ≤ x ≤ 3,0 ≤ y ≤ 5} by identifying it as the…

A: Solve

Q: H.W (5) 4 Solve the following differential equations of -0 -(x² + y²)dx + (2xy + cos y) dy 2rud dy

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Q: 24\x² dy_ (xy + y ² ) d x = 0

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Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

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Q: √√³0 3 dA over the region R = {(x, y) | 0 ≤ x ≤ 4,0 ≤ y ≤ 2} by identifying it as the volume of R…

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Q: 3- If √secx + 5cosx find y

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Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: convergence : 00 Σ+1*. n=1 1 n 10n (x - 2)"

A: We will use  Ratio-Test to find the solution

Q: xyy' +4x² + y² = 0

A: Girenven differential equation: xyy'+4x2+y2=0

Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

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Q: Hi, I am unable to click on link to follow steps since the work is show as an image. Can someone…

A: Taylor expansion of f at x=a : f(x) ≈ ∑n=0∞ fn(a)n!(x-a)n = f(a)+f'(a)(x-a)+f''(a)2!x-a2+...

Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A:

Q: PLEASE RECHECK THIS ANSWER AND ANSWER IN 2 DECIMAL PLACES. UPVOTE WILL BE GIVEN

A: the given solution is correct.

Q: e Phill and Laura Dutch have a new grandchild, Brenda. They want to create a trust fund for her that…

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Q: For the following function find (a) f(4), (b) í (b) f 2 f(x) = 4x² - 24x + 21 (a) Find the value of…

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Q: dy dx Assume x and y are functions of t. Evaluate for 3xy-3x+ 5y³ = -195, with the conditions dt dt…

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Q: 1. In x x² dx

A: The given integral is: I=∫16lnxx2dx   So, we can also write as; ∫16lnxx2dx=∫16lnx·1x2dx=∫16lnx·x-2dx…

Q: O cos y (cos x + 1)

A:

Q: Find the center of mass of the given system of point masses. (x, y) = mi 5 1 3 (Xi, Yi) (2, 2) (-5,…

A: In this question, we want to find the centre of mass of the given system of point masses.

Q: Calculate the future value of end-of-month payments of $500 made for 4 years into an investment fund…

A:

Q: Suppose that x and y are related by the equation 4x² - 3y² = 5 and use implicit differentiation to…

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Q: (A) Find Laplace transform of the function : f(t)=1 sin(2t+) cos(21-7)

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Q: How many paths spell MANAGE? A N A A E a) 15 b) 100 c) 10 d) 20 M ΣΖ A E N G A

A: Use: Pascal's method

Q: Find the domain of the following function. 5 f(x) = 81-x² The domain is (Type your answer in…

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Q: D) 1. prove that y' = 2. prove that y' at y' -1 1+x² √x 1+x for y=cot ¹(¹) 1-x for y= 2√√x-2 tan-¹…

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Q: A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the…

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Q: If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: 6. Find all the "zeros" of the function f(x)=x³ − 5 x² + 4x − 20 if you know x=5 is a root of f.

A: See the details solution in below

Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

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Q: √x²+25 - dx= x X=5secØ and Ø = sec الخيار رقم 1 0 X=5tan and Ø = tan-¹) X=5sinØ and Ø = sin ||| خيار…

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Q: For the next two exercises, determine the Taylor series generated by the function f at x = a.

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Q: Consider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: Consider the vector between (-2,-5, -3) and (5, 10,7).

Q: A firm produces a product that has the production cost function C(x) = 440x + 6270 and the revenue…

A: Given :C(x)=440x+6270R(x)=550x

Q: a. In y = dy

A: We have to solve integral

Q: p=q= r= (Simplify your answers, including any radic

A: Follow the procedure given below.

Q: Record your explanation of the solutions to the following. 1. Sketch a function with the following…

A: We can solve as follows

Q: Consider the matrix a) Find the determinant of A. det (A) = -30 b) If det (A) = 0, find the inverse…

A: We have to solve given Questions.

Q: For the curve f(x) = 2-5x +4x², the slope of the tangent is -5 + 8a at the general point where x =…

A: This question is related to tangent to the curve, we will solve it using given information.

Q: Solve the following differential equations of 1 xy'dx + (x³y² +1) dy=0

A: We will use substitution x2=z. The formula I used has been written at the end of paper.

Q: 03: Evaluate the following integrals dx (1) S 2√x (1+√x)

A: Given: I=∫dx2x1+x2    ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: A loan, amortized over 10 years, is repaid by making payments of $1,000 at the end of every month.…

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Q: show that du { AX (BXC) } d d AX ( B X du C) + A X ( du B XC) + au A X (BXC) M du

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Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

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Q: Give the domain and range of the graph shown to the right. Then, use the graph to answer parts (a)…

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