(x+y)dx-dy = 0 xy The equation O Linear O Homogeneous O Separable 1st order ODE O Bernoulli O Exact

Q: (-1)"-1"

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Q: A model created by an engineer is represented by the following multivariable functions w = xe%, x…

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Q: Use tabular method to evaluate ſ –2x³e¬5*dx

A: As per our guidelines of bartleby we are not restricted to solve only in type written mode. Even a…

Q: x² - 25 The antiderivative of - dx is x2 -25 - sec-lx+ C. A True (B False

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Q: Determine whether the following series converges or diverges If the series converges, determine the…

A: The given series is:…

Q: x2-1 1- S (Solve it using integration by partial fractions) x2-16

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: Determine if the given series is convergent or divergent. (1 – 2n²)" Σ 1. n2n n=1

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Q: 3. Determine the derivative of each function using the most appropriate notation. (a) y = x³ – 4x² +…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: dr (1² + 1)²

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Q: If sin theta is (square root of (x^2 - 4)) divide by x, what is sin 2 theta?

A: It can be solved using trignometric formulas.

Q: x²y(cos(Tz) +2) dæ dy dz

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Q: What is the particular solution of the equation 2ydx - 3xdy = 0 when y=1 and x=1?

A: Solving the differential equation by seperation of variables.

Q: (-1)" Given: power series (x + 1)" 2n2 + 5 i. Determine if the resulting series of constant terms…

A: We have to check whether the given series is convergent or divergent.

Q: What is the shortest distance from the point (4,0, 5) to the sphere (x – 1)2 + (y + 2)2 + z² = 36?…

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Q: dy y dx when y = 1 and x = 1 in terms of %3D

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Q: **....... A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 7000…

A: we have to find length range for the given rectangle.

Q: Determine whether it is True or False does not converge (a) If an 20 for all n eN, then…

A: Comparison test: Let ∑n=1∞an  and ∑n=1∞bn be two series such that an≤bn ∀n∈N If ∑n=1∞an divergent…

Q: Write the partial fraction decomposition of the rational expression. Check your result…

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Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

Q: ( sec' 0 tanede

A: Follow the procedure given below.

Q: For the sequence defined by: a1 = 3 1 - 3 An аn +1 Find: a2 аз = II II

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Q: Is the function continuous on the interval (0, T COS x O no O yes O cannot be determined

A: Given problem:- Is the function ex/cosx continuous on the interval [0, π] ?

Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. La…

A: This question can be solved using the concept of convergence and definite integrals.

Q: E) INTEGRAL : 9.) S(5t3 + 2t? – 5t – 50)dt 10.) S(3x2 + 2x + 500)dx

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Q: m m 2m + 1. m=1 т m 2m + 1 m=1 Do the following converge or diverge?

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Q: x° – x + 2x –2 dx 3 ?6 -2х + 2) X

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Determine whether the following series is convergent or divergent (-1)"3n² 4n2 –1 (b) n=1

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Q: an = In(n+1) – In(n) for n E N determine if the following is convergent or divergent { an } n=1

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Q: Let k be a positive real number. Then f(x) = Vk2 -- x2 is continuous on the interval: . (-k, k) b.…

A: To determine the interval in which the function is continuous.

Q: (b) S 3x5V1 – 2x³dx -

A: Given,              ∫3x51-2x3dx

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

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Q: Sketch the region in the plane consisting of points whose polar coordinates satsfy the given condi-…

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Q: If substitution technique is used to solve the integral [(12.x+3x* )(10x² +x³ – 2)° dx then the…

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Q: Integral

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Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

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Q: The differential equation dy/dx = y(y+6) has initial condition of y(0) = 3 What is y(1)? Multiple…

A: Given

Q: y= ( х-6 3 1. у %3 Зx+4,

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

A: Solution is given below:

Q: 5) S dy 5.)

A: The given integral,      ∫28-y2dy

Q: A closed rectangular bOX with a volume of 16ft° is made from two kinds of materials. The top and…

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Q: Sllerch the graph of the 18r=4sine given polacequations

A: Given

Q: { II. Consider the sequence í n+ 2)! J n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Here, the given sequence is: πn(n+2)!n=1∞ Let, an=πn(n+2)!

Q: ´ax²-3 -, x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .. (bx +2,x <…

A: To find the values of a and b that will make the function continuous everywhere.

Q: Find the sum of the convergent series tan - ( m til tan M=1

A: This is a telescoping series.  Whose sum is  2/π

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given problem:- f(x) =x2 ,  Find equation of tangent line which parallel to line 8x-y+16=0

Q: (2.) (1-(In))^ (3.) yn + sin ()

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Q: dz S- 2ydy , if we let y=Vz+4, then the new integral becomes = y-2 In z+4 - 2 (A) True

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Q: Q3) Evaluate triple integral N S dz dx dy. x-y

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