8. Determine by the ratio test if 2n=1 (2n)! converges or diverges.

Q: f(x) dx

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Q: y =\nNX ), find y %3D メ43 find %3D (メ43) 8.

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Given the two polar curves, r = 2 sin 0 and r =1- cos? 0, find the following. A) Sketch the graph of…

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Q: Find an equation of the plane through (-7, 2, 1) that is 2 = 3t, y +3 = 6t, z = perpendicular to the…

A: We know that equation of plane passing through the point (x1,y1,z1) and normal n=ai+bj+ck is…

Q: 1. The line segment from (1, –1,3) to (0, –3,1) forms a diameter of the sphere S1. Find the…

A: Given problem:- The line segment from (1,-1, 3) to (0, -3,1) forms a diameter of the sphere S₁. Find…

Q: For the differential equation (x2 – 9)y" + (x – 3)y' + 2y = 0, a regular singular point is: O x=3…

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Q: fllowing fir'st order DSe 5ーx(m3)

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question....so…

Q: Calculate the upper sums Un and lower sums Ln, on a regular partition of the intervals, for the…

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Q: Solve the differential equation 3y r. y = -- y = - O C. y =+ Oa. Ob. +

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: 11. ſ sin? x cos² x dx

A: Given ∫sin2x cos2x dxTo find integration:

Q: Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13…

A: Let, x be the number of food cartoons and y be the number of clothing cartoons. Then maximize…

Q: Identify the graph of the curve by first sketching the graph of r as a func Cartesian coordinates. r…

A: r=2-2cos(θ)

Q: Let f : R → R be an odd differentiable function. Define F: R2 → R by F(x, y) = f(x² + xy+9y²). (a)…

A: This is a problem of differentiating function. Based on the concept of partial differentiation we…

Q: 2 tan(x)dx

A: This question is related to definite integration, we will solve it using given using given…

Q: ) Find of the implicit function a? + 5xy + y? – 2x + y – 6 = 0 at the point 1. . (1, 1).

A: Topic:- derivatives

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

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Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship…

A: We need to find rate of distance changing.

Q: 1 13 + x xp-

A: We will solve the integration.

Q: 5. Determine the horizontal asymptote. x³ +2x² -6 а. У- x? x* +3x° +x² –7 b. y: x* - 3x³ +8

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Q: Find the inverse of the function on the given domain. f(z) = (x – 14)2. [14, 0) f-1 (2) =

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Q: A cliff diver plunges from a height of 49 ft above the water surface. The distance the diver falls…

A: Given :d(t)=16t2ft

Q: 1

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Q: G(x) = Si tan t dt Find G(1) = Find G'() =

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Q: Given that the antiderivative of f(x) = is F(x) = Ln|x| + C, evaluate In3 In2 112

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Q: This matrix is a 0 0 4 0 [ 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: Given problem:-

Q: a multi-part problem. If F(t) = + 4t² 412 – t+ 9, find F'(t). 3 This is F'(t) = |

A: Given query is to find the derivative of the expression.

Q: Find the equation of the tangent line to the function f(x)= x^3-4x at the point where x=0. Do not…

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

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Q: a/3 Find the value of cos(3x) dx.

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Q: of and dy of For the function f(x,y) = In (9x + 8y), find

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Q: Find the integral of 32/3 and 32/3

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Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: 1 5. Determine by the limit comparison test if Zn=2 converges or diverges. Vn-1

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Q: 3

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Q: 3. he tangent to the ellipse I at the point P: V2 4. 3. 3w q(w) = 2w+ V2 %3D 3 q(w) = 3w V2w - V2 3…

A: Ellipse tangent

Q: This equation is.. differential .equation dy y2 =x² + dx %3D ху Bernoulli O Linear O Homogenous O…

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Q: Find the inverse of the function. f (x) = 14 – 5x³

A: Topic = Function

Q: What is order of the equation 2y" + 2y' +3 = 0 Second order O Third order O First order O Zero order…

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Q: Consider the following. 2 f(x) = -x2 + 4 Find the x-values at which f is not continuous. Which of…

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Q: Use the power series Σ 2(-1)^x^, \x| < 1 1 + x n = 0 to find a power series for the function,…

A: Leibnitz Alternating series Test :  Suppose that we have a series ∑(-1)n an where , an≥0 . Then if,…

Q: dy 3y– + 4x = 0 dx

A:

Q: dy = ky dx x = eky y = e-kx Option 2 O Option 4 O y = ekx x = e-ky Optio n 2

A: The given equation is dy/dx=ky.

Q: This equation is. . .differential equation dy y2 = X x² + dx ху Bernoulli Separable Homogenous…

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Q: 0 4 0 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A:

Q: Find the radius of convergence, R, of the series. (-1)" 2" n = 1 Find the interval, I, of…

A: for radius of convergence of a series  we will calculatelimn→∞an+1an&lt;1  for the series ∑an  and…

Q: Se* tant e*dx

A: This question can be solved using the concept of indefinite integral.

Q: com/courses/46921/assignments/1001688?retum to-https%3A%2F%2Fnctc.instructure.com%2Fcalendar%23view…

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Q: Evaluate: 2 esindx, for n=8 using (a) Trapezoidal method, (b) Simpsons Method

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Q: This equation is an example for linear equations dy = x²e* y = %3D dx False O True +

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Q: A region in the xy- plane has a z-output given by the equation z = In(x?) + 2xy - e*y. Determine the…

A: the volume between the x-y plane and below the z-axis is given by V=∫x=∫y=∫z=dzdydx According to the…