Determination of Integrating Factors : Solve the equation (x² + y? + 1) dx + x (x – 2y) dy = 0 O x? + xy – y? - x = c O x2 + xy – y2 - 1 = cx

Q: A third-order homogeneous linear equation and three linearly independent solutions are given below. ...

A: Given that Third order diffrancial equationy3+2y''-y'-2y=0,  y0=8,y'0=10,y''0=0Solution :y3+2y''-y'-...

Q: Integrating Products and Powers of Trigonometric Functions Evaluate the indefinite integral. / sin't...

A: topic- indefinite integral

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

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Q: Let y be defined implicitly by the equation 2x° + 5y- 4x – 7y = -2. dy at the point (1,0). dx Use im...

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Q: The position of a car traveling along a highway is given by the function s(t) = 2t* – 2t - 3t2 + 6 w...

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Q: the Standard iom TocI. he standal the equation (Type an equation. Simplify your answer.) (-1,1) -4

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Q: Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 ...

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Q: Find the equation of the circle that passes 3 points (1, 2), (-3,8) and (-9,6).

A: It is given that, 1,2,-3,8 and -9,6 are the three points.   The objective is to find the equation of...

Q: Determining the average rate of change is equivalent to determining the slope of the to a function. ...

A: We will use the definition of slope of tangent.

Q: . Three waka ama teams are on the uta (shore) waiting to race. These teams are imaginatively named A...

A: We are authorised to solve only one question. With 3 subparts, please repost remaining parts Equatio...

Q: Evaluate the sums. 6 a. (3 - k²) Σε. k=1 6 b. (k? – 5) k=1 > k(3k + 5) С. k=1

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Q: A. The population is 900 in the beginning and grows by 350 people each year for 20 years. B. The pop...

A: B - given is the population is 900 in the beginning and decreases by 12% each year for 5 years.

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D. x²...

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: (b) Find the direction e of the vector u = .(angle between the positive x-axis and the vector)

A: Topic = vector

Q: Consider t=[−6, 2] and s=[2, 2] a) Without determining the angle between the vectors, determine whe...

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Q: The student council plans to run the annual talent show to raise money for charity. Last year, ticke...

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line...

A: Given query is to find the points where tangent is horizontal.

Q: Find all second-order partial derivatives of the function. f (x,y) =x³+xy³ + y²

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Q: 1. メ-\ メ+!

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Q: 2. -dx xpS

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: In Exercises 33-36, use upper and lower sums to approximate the area of the region using the given n...

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Q: x² – 49 .2 if x + -7 f(x) : x +7 -12 if x = -7

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Q: 7) sinh 2xdx 8) fcosh vdv 9) f cot ydy pai4 sec? Jwdw

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Q: Write out the first three terms and the last term. Then use the formula for the sum of the first n t...

A: Given query is to find performed indicated operation for arithmetic sequence.

Q: For the following series, test for convergence by the ratio test. 1 1 (-1)"n + (-1)"-1(n + 1) - ... ...

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Q: x+1 Evaluate f dx x2 A. 를 (1+즐)를 B.-름 (1+즐)를 c.(1- - - - (1- ) + C + C (1 + 3 + C + C D. 3. A OB C

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Q: Integration by Parts - Indefinite Integral Let u = f(z) and v = g(x) be functions with continuous de...

A: Integration

Q: In(x) Find the maximum and minimum values of the function f(x) = on the interval [1,6] by comparing ...

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Q: Let f(1) = (1 + 2x + 2)*

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Q: Use Bisection Method to find the root of æ + 10x² – 5 = 0 that lies in the interval (0, 1) to four-d...

A: Given :   x3+10x2-5=0

Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

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Q: The function f (x) = 6x¬l for the interval (0, 2) has a local minimum. neither local minimum nor max...

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Q: The curve-4x - 3y3-7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw line...

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Q: Evaluate the integral. [HINT: Use a shortcut.] | 12(2x + 1)5 dx

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Q: General Solution of a First Order Linear Differential Equation A first order linear differential equ...

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Q: 37, b = 55 , c = 43, measured in ya %3D %3D

A: a=37b=55c=43 Perimeter , s =a+b+c2  s=37+55+432 =1352s= 67.5

Q: If f(t) -Int find f'(t). Use exact values. 4 16' f'(t) = 2 x o tở In(t)

A: This is a problem of differentiation. Please follow the procedure given below. 

Q: 2 Evaluate 2 dA where D is the region described by 0s ys 55 - x Integral is equal to : Enter an inte...

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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: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (4, 1) Vf(4, 1) =

A: f(x,y)=5x+3y2+5 fx(x,y,z)=5fy(x,y,z)=3(2y)=6y∇f =fx(x,y,z) i +fy(x,y,z) j

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: A particle travels along a horizontal line according to the function s(t) = -3t° +t² + 3t – 2 where ...

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Q: The function f(x) = 6x¬1 for the interval [1, 2] has neither local minimum nor maximum. a local maxi...

A: local maxima and minima

Q: Consider the following tables: -2 -1 1 2 3 f (x) 2 5 -3 4 -101 -2 2 g (x) 5 4 1 2 Fill in the blanks...

A: topic - composite functions

Q: Set up an integral to find the length of the curve. Evaluate the integral by hand, and find the leng...

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Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft. If the ...

A: Lagrange multiplier

Q: f (x) | f'(x) g(x) | g'(x) -1 -7 16 -4 4 -2 1 -1 1 -1 3 10 11

A: Let's find.