Solve the differential equation by using integrating factors. (x + 2)y' = 6x + y y(x) =

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Q: The graph shows the contour map of seawater density p (S,T) (kilograms per cubic meter) as a functio...

A: Calculate the temperature and density at point A and B then take the average change. 

Q: x-2 6) Find the antiderivative: - (x+1)2+4

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Q: (a) Use the power-law expansion for eox and sin(nx) near x = 0 to approximate the integrand as a cub...

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Q: 1. Create a Table of Values to find the limit of each function. (Use at least 3 distinct values of x...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: dy given that dx Use logarithmic differentiation to find sec-(T) 4sech(5z) (log6 x)" y =

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Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: This question can be solved using the concept of rate of change of quantities.

Q: A drug manufacturer has developed a time-release capsule with the number of milligrams of the drug i...

A: topic - average of Function over interval

Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3

A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

Q: Find the expression of the general term of the sequence given by: 2 4 8 1, 2'6' 24' 120’ 720 16 32

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Q: Consider the curve y=x(6-2x)^2 Find the local max./min. points of the curve.  Find the increasing/d...

A: Let us consider a curve y=f(x) x=a is said to be a critical point of this curve iff f'(a)=0 x=a is ...

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +oo +oo (2n...

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Q: 4 dx 4+x4 4 V2

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Q: Use the change-of-base formula and a calculator to approximate the given logarithm. Round to 4 decim...

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Q: Solve the following equation on the interval [0,2) a. V3cosecsce = 2cos0 11. b. 2 sin2 x - 7sinx + 3...

A: a) 3 cosθ cscθ=2 cosθb) 2sin2x-7sinx+3=0

Q: II. Find the equation of a line passing through (-3,5) with slope II. Find the equation of a line pa...

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Q: Find the differential of the function w = I sin(2yz). dw = dy + dz + xp Note: Your answers should be...

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Q: The dimensions of a box are 3 cm × 5 cm × 7 cm. The width, length, and height of the box must be inc...

A: Given length = 5cm , width= 3cm , height=7cm Now all dimensions are increased by x and volume became...

Q: IV. In each item, solve the constant of proportionality k, form the complete variation equation, and...

A: This question can be solved using the concept of constant of proportionality.

Q: Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If...

A: Statements are given, we have to find it is true or false

Q: Differentiate f(y) = 8-3y+5 f'(y) > Next Ouertion

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Q: Given the following matrix and its eigenvalues -27 3 2 1. Find the two eigenvalues for the matrix 2....

A: a) Eigenvalues: λ1=5λ2=-5 b) Matrix of eigenvalues For λ1=5 -773-3 For λ2=-5 3737  

Q: A one-to-one function is given. Write an equation for the inverse function. X-4 v (x) = x+5 (x) = D

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Q: Use the function below to answer the following questions. m(x) = - -5 (a) Use transformations of the...

A: Solving the problem by finding the domain,range and asymptotes.

Q: Explain why the integral is improper. 8. dx (x - 7)3/2 140 120 100 y 80- 60 40 20 O At least one of ...

A: Improper integral: If f(x) is continuous on the interval (a,b] and not continuous at x=a then,      ...

Q: 10. Vx – 1dx 15 32 32 b. 15 a. 32 d. none of the choices C.- 15

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Q: Question Select your answer. Find the equation of the tangent line of f(x) = x at r = -1 y = -2x + 3...

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Q: A cylindrical tank with a radius of 5 ft and a height of 20 ft is filled with a certain liquid chemi...

A: topic - application of derivatives

Q: Question Select your answer. Find the derivative of f(x) = -x² + 4x + 3 with respect to 4x + 2 x. -2...

A: Let's find. 

Q: Question The function s(t) = 3t2 – 4 gives the position in feet of a moving object at time t seconds...

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Q: Given the triangle below, find csc(0). Enter an exact answer in fraction form. 3 4 5

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is ...

Q: Q3/ Find a center of mass of a thin plate of density 8 = 3 bounded by the lines x = 0, y = x, and th...

A: Given region bounded by x=0 , y=x and parabola y=2-x2    in first quadrant

Q: Determine whether it is divergent or convergent. Justify. (2n)! E(-1)" 2n+1 n=1

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Q: 3x dx - 25

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Q: A. Prove that the function is discontinuous at the number a. Determine whether the discontinuity is ...

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

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Q: Evaluate the integral -drz.

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Q4/ Find the centroid of the triangular region cut from the first quadrant by the line x + y = 3.

A: Topic:- geometry

Q: (a) Suppose the infinite series an is divergent. Then for any constant c, the series n=1 > can is al...

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Q: Question Complete the blank , giving your answers to two decimal places where applicable.(Explain w...

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Q: Solve the initial-value problem by using integrating factors. y' + y = x, y(0) = 6

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Q: 3.) Find y': Given: y = coth NIK

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

A: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

Q: A ball is thrown into the air with an initial velocity of 32 feet per second, from a height of 100 f...

A: Given query is to find the time taken for ba to hit the ground.

Q: +3 dx 82x +3 (A) 2in(8) +C 82x +3 B +C In(8)2 82x+3 + C In(64) 42x +3 In(8) D - + C

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Q: If y=3xe , then what is d²y. 3x dx 2

A: Let's find. 

Q: The isotope of plutonium 238. Pu is used to make thermoelectric power sources for spacecraft. Suppos...

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