Determine whether the series converges absolutely, converges conditionally, ges. 4n Σ(-1)", n³+1 n=2

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Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

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Q: 5x-10 Find the area under the curve of f(x)=- 05 O-10In 2 O 5-10lm 2 0-5 from 1 to 2.

A: Solve the given

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A: Here, to find the Taylor polynomial of the function f(x)=sin x around the point a=π2 which is given…

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A: Given fx=10 ex on the interval 0,3 The formula to calculate the area under the graph y=g(x) on the…

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Q: IL The Hiker You are planning a 20-mile hike in the Cascades. The guidebook provides you with a…

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Q: Find the center of mass of a thin wire lying along the curve r(t) = 2ti + 4tj+ (x,y,z) = ( (Type…

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Q: Use the formula к(t): k(t) ||r' (t) x r"(t)|| 3 ||r' (t)||³ r(t) = esti + e¯tj = to find (t). #1

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Q: 2 Find the transformed equation of the hyperbola xy = 4 when rotated 45. (x')² - (y')² = 8…

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Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

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Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

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A: Given that the sum of two number is S

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A: Given the query is to find the maximum possivle days for delaying.

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Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

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Q: Solve the differential equation 2xy + y²) dx + (x² + 2xy-y²) dy = 0

A: A homogeneous differential equation is one in which the degree of the function f(x,y) is the same as…

Q: Begin with the Maclaurin (Taylor) series: cos r = 1 - 2! 4! 6! (a) Evaluate cos 0. (b) List the…

A: According to the guidelines, we are instructed to answer 1 question or 3 sub question,the others can…

Q: y= v-2² +2²-2x+ 8 (a) Find y'= f'(x). f'(x)=x²+x-2 (b) Find the critical values. (Enter your answers…

A: Solve it

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Q: The particular solution of the following equation by using the D Operator y" + 2y' + 3y = -2x + 3

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Q: 42. If g(0) = 0 sin 0, find g"(π/6).

A: Solve the given

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Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: 3. Find an equation for the parabola with directrix at r = 3 and focus (-1,-1). Find the two latus…

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Q: A radar, using the polar coordinate system, detects that an airplane is currently located at the…

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Q: The u(x) that converts the equation below into an exact equation x\dy + (2x?e" + 1) = 0 ey + y) dx…

A: Let's find.

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Q: Select all of the following tables which represent y as a function of x. y -2 -1 -2 -5 -1 2 1 2 1 1…

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Q: Find the value of z in the solution of the following system: - 1x – - 4y - 4z = 99 4x + 2y + 2z = 88…

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Q: Select the conic section represented by the equation. 4x 2 + 3 y 2 - 2 = 0 parabola point ellipse…

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Q: A company selling baseball gloves has fixed costs of $1800, and it costs an additional $23.71 to…

A: This question is related to Cost and Revenue function, we will solve it using given information.

Q: Given the relation x³z² + sin(3z - 2y) - 8√9+7x³ + 5y + 13 = 0 implicitly defines y as a…

A: Differentiate

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A: Height is given by f(t)f(t)=-16t2+420t+6t =11.5

Q: Consider a triangle where A = 30°, a = 1.3 cm, and b = 1.3 cm. a b B A (Note that the triangle shown…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Find the area of the region bounded by the graphs of the equations. y = Vx -1, y = 2, y = 0 , x = 0…

A: We have to find the of the  region bounded by the given equations.

Q: The diagonals of the square ABCD meet at X. Determine two ways to write BX using AB, BC, CD and DA.…

A: This question can be solved using the concept of triangle law of vector addition.