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Q: Homogeneous Equations: Solve the differential equation +y? y' %3D xy O y? = x² In cx? x²y? = In cx2

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Q: s2 - 265 - 47 Y(s) (5 - 1)(s + 2)(s + s) %3! 1. Use Partial Fractions to break apart the large fract...

A: Topic:- calculus

Q: Consider the following. u = 3i + 2j, v = 6i + 9j (a) Find the projection of u onto v. (b) Find the v...

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: Find the vector component of v = 2i –j+ 3k along b = 4i + 8j + 8k and the vector component of v orth...

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Q: 9i+ 3 j u + v =

A: ||u||=8, θu=00||v||=2, θu=600

Q: У (4х + у) dx — — у) dy 2 (x² - 2x2 +x+ 2In у — С ans. y

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Q: Integrating factors y(x^2 + y ^2 − 1)dx + x(x ^2 + y^2 + 1)dy = 0 when y(1) = 0

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Q: II. Obtain the required order of derivative. 1. y? = 4x, find y" 2. x3 - y3 = c³, find y"

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Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: Given that: f is a function such that f'7 is undefined. We need to comment upon the continuity of th...

Q: se differentials and the graph of f to approximate the following. (Round your answers to three decim...

A: Given problem:-

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: We have to find equation of line in symmetric and parametric form.

Q: x V3x - 5 dx

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Q: 2. For the following complex numbers; peform the indicated operations. Expressresultsin rectangular ...

A: Given:  za=-2-5izb=2.15e4.18izc=1.75cos165°+isin165°zd=0.745∠-36°ze=1+3izf=0.953cos324°+isin324°zg=2...

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Note: as per our guidelines we have to solve 1st question. So please repost other questiin . sorry f...

Q: Consider the following. u = -7i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A: Here, the given vectors are: u=-7i-4j-2k, v=0i+4j+4k That is: u=-7,-4,-2, v=0,4,4

Q: Fill in the missing numbers in the table below. Then use the table to fill in the apparent value of ...

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Q: Question 2 5x limr→-0 g² + 10x – 1 c→-∞

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Q: Find f. f"(e) = sin(e) + cos(8), f(0) = 2, f(0) = 2 f(e) =

A: Given problem:- f''(θ) = sin(θ) + cos(θ) , f(0) =2 , f'(0) =2  To find:- f(θ)   

Q: а Let, u = and v = -2 where a <0. a 2 1 Which one of the following must be true about the angle 0 be...

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Q: 2 12. f (x) = (1tsinx) Cosx

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Q: cos x dx Sx x sinx cosx dx 4. 3.

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Q: (t -x)dt – tdx =0; when t = 1, x = 5

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

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Q: Find the exact length of the polar curve r=1+ cos 0

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Q: dx x2 +4x +5

A: Use inverse trigonometry function formula.

Q: P that is orthogonal to the vector AB. . B e distance from the point P(-3,1,9) В(-2,3, —4).

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Q: 2. 10, 11, and 12 a. Express the triple integral /// f(x, y, 2) dVas an iterated integral for the gi...

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Q: Find an equation of the plane with the given characteristics. -4 The plane passes through the point ...

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Q: The region bounded by the curve ×=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A: We have to find volume. 

Q: 2. Find the area between the curve x= - y +y + 2 and the y- axis.

A: 2) To find the area between the curve x=-y2+y+2 and the y-axis. The region bounded by the curve and ...

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: Evaluate the following integrals: 1. S (3* + 4°)² dæ

A: We can find the integration as below

Q: The Furmetion fla)=t kininen as Taylor series abaut x =0 4s derwamine ite series elow end nerite our...

A: a) fx=8e2xb) gx=9x5e-1 x

Q: Consider the following function: f(x) = ) = +" – 2v – 7 Step 3 of 4: Determine where the function is...

A: Given: Notice that f''(x)=6x2. Graph:

Q: Find the derivative of the following: 1. D, (x³) 2. D, (5x2) 3. D, (x – 2x*) 4. D, (x-2)(2x +3) 5. D...

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly repo...

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

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Q: A data set has n items. The sum of the items is 800 and the mean is 20. (a) Find n. The standard dev...

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Q: cotx dx In|csc x| cSC

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Q: 2. Integrating factor by inspection: Solve the equation: (y – xy²) dx + (x + x?y²) dy = 0 O = In y –...

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Q: What is the derivative of the following? 1. 3x^2 2. -1/2x^2

A: Topic = Derivative 

Q: 3x dx

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Q: Use the triangle to find each half angle. 25 24 () - tan () - sin cos 24 24 :: :: :: 1 :: 25 25 7 3/...

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Q: Let R be the region bounded by the functions f (x) = -4x2 as shown in the diagram below. Find the ar...

A:   Formula for area

Q: x(2x? + 1)6 dx

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Q: 1) Analyze and sketch the function f(x) = -x* - 2x + 5x2 %3D

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Q: Find a set of parametric equations for the line passing through the point (1, 0, 9) that is parallel...

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Q: Arithmetic sequence is given by a, = 0 and a15 = 4. What is the sum of the first 15 terms of that ar...

A: Given,            Arithmetic sequence is given by a5=0 and a15=4.To find : What is the sum of the fi...

Q: dx x2 | C 2 sin-Vx+C sin-Vx + C -2 sin-1Vx+ C sin-1x + C 2 - O A E None of the Above 12

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and make...

A: Select a normal vector and a point then write the equation of the plane.