3-4 Change from rectangular to cylindrical coordinates. 3. а. (4,4, —3) Answer + b. (5/3, –5, v3) Answer +

Q: 35. Above the cone z = a² + j? and below the sphere x² + y² + z² = 1

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Q: (y² – xy) dx – x²dy = 0 Ix-

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Q: 0 minutes. Water begins to be pumped 0. A different pipe is draining water from the tank starting A ...

A: Water

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 7 4x 20y – 4z = -...

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Q: S sin(V2x)dx = sin(V2x) – V2x cos(v2x) + c %3D

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

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Q: Ду dy %3D II

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Q: 1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the me...

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: here the vector make 0 degree with x axis it means it is on x axis  so its components are (x,0,0) [[...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

A: We have to solve above question 

Q: Find the exact value of the cos 75° using a half-angle formula. cos 75° = 2+V3 :: 2-V3 :: 2-V3 VV3-2...

A: Let's find. 

Q: v(t) = t² – 3Vt, s(4) = 9 %3D s(t) = 2t 11 %3D - 3

A: Given query is to find position function.

Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С. ...

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is p...

Q: Answer: 0 Evaluate sin(x+ y)dxdy.

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Q: Use the Riemann sum with n = 2 rectangles to approximate dz. Round to 3 decimal places. A 0.867 0.72...

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Q: 6. Using L' Hopital's Rule, find the value of the limit L- lim +1

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Q: The next step is to find du = g'(x) dx. First find g'(x). %3D g(x) = x° + 8x g'(x) = Therefore, we h...

A: We can find the required answer in the following steps

Q: Solve using Exact equations: 3xy ^ 2dx + (3x ^ 2y + 4y ^ 2) * d * y = 0

A: 3xy ^ 2dx + (3x ^ 2y + 4y ^ 2) dy = 0  

Q: Q3: Solve the following first order differential equations Use any method: 1. e + 2x dx + e x dy = 0...

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

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 8 cos(t) –...

A: Given  a(t) = 8 cos(t) - 3 sin(t),  s(0)=0,  v(0)=5

Q: the following. (x) = x? %3D + 6x + 7 Find the critical numbers. (Enter your answers as a comma-separ...

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Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

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

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Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

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Q: use Gaussian Jordan 2メ+4y+ 6Z = 18 4x+ Sy + 6Z = 24 3x + Y -2Z =4 thy answer should be like this: 10...

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Q: Re-write. the.crthar..fie.i.texated.ntegrals. S FiXny, Z)dydzdx dzdyd X -I x2 d

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Find the length of the arc of the curve y = In x over the interval: [1, 5. Round the answer to four ...

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Q: Q1: Find the solution of the following Differential Equations d²y 1. + y = 6e* + 6 cos(x) dx2 d?y 2....

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Q: If y= Vx (x-1), find dy (Use rules, not a XP de finition

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Q: If f'(x) and g'(x) exist and f'(æ) > g'(x) for all real æ, then the graph of y = f(x) and the graph ...

A: f'(x) and g'(x) show the slope of function  so here given that slope  f(x) > g(x) so they do not ...

Q: Use integrals to find the area of the region enclosed by the quadrilateral with vertices at (0,1), (...

A: Question-  Use integrals to find the area of the region enclosed by the quadrilateral with vertices ...

Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the ...

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Q: Let a = ci + jand b = 2i + 14j. Find c so that a and b are orthogonal. i

A: Given that,a=ci+j and b=2i+14j

Q: Let f(x, y) = x² + xsin(y). %3D

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Q: Obtain the general solution of the following differential equations.

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Q: Find f. f'(t) 8 cos(t) + sec?(t), -7/2 <t < a/2, f(a/3) = 5 f(t) =

A: Given 

Q: 1. e (3xy-x)dx+e* dy = 0; when x = 0, y = -1 4 Ans. y =-- 1 3

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: For solving all above parts we have to use concept of unit vector.

Q: (T^2-x)dt-tdx =0 when t=1 x=5 Ans,: x=1/3t^2 + 14/3t please show solution

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Q: Which of the following limits is equal to a* dæ? :) : A E(3+• lim n k 2 B (3+2 lim C 2k 3+ = lim n D...

A: Given problem:-

Q: Determine the homogeneity of the following function x^3-xy+y^3

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Q: the edge of a tablecloth. The fringe comes in 5. Leslie needs 324 inches of fringe to put around of ...

A: one jar make 26  so 4 jar make = 26*4 = 104 cup    1 yard = 36 inch 10 yard = 360 inch leslie requir...

Q: 3-4 The figure shows a lamina that is shaded according to the given density function: darker shading...

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Q: How can i solve this excersice? Hind: It could be, using Taylor. Vat (7a(=)) ×. 1 f(2) nh

A: This is a problem of taylor series calculation. Based on the general formula we will solve the quest...

Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .