O Determine it the following function is eontinues at 2 f(x) = [2x*_2x-4 if x +2 ノ X-2 1 if x=2

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

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Q: 5. Solve 5-X Express your solution in erval no solution on a real number line.

A: We we will solve the inequality. 

Q: We now use the substitution u = x° + 8x and du = (9x° + 8) dx to convert the entire integral into on...

A: We have to solve integration 

Q: 16. As a generalized interpolation problem, find the quadratic polynomial q(x) for which q (0) = -1,...

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Q: y" – 6y + 10 y = 50 x + 3e - +20

A: We are asked to solve the differential equations.

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x? + y? + z? (5,...

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Q: g (x) = arctan a) Series: En=0° b) First four nonzero terms: c) Within the interval of convergence:

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Q: y (4x + y) dx – 2 (x² - y) dy 22 + x + 2 ln y = C ans.

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe"/x, (3, 0) Vg(3, 0) =

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

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Q: n+2 00 Σ n=0 V2+n 15. 2n 17. 8

A: As per the guidelines  we can answer only one question. If you want to get answer of your other ques...

Q: 3) f(x) =9x/チxー3 %3D

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

A: Solve for the derivative

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: Suppose that f(x, y) = e"/♥ on the domain D = {(x, y) | 0 < y < 1,0 < a < y*}. Then the double integ...

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Q: Show that the equation below is an inexact equation. Find the integrating factor in terms of t only ...

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Q: Rush

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Q: 32. At what value/s of x is the function (2 — Зх f(x) = } -|x| (x² – 6 А. 1 В. 3 С. 1 and 3 D. The f...

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Q: x3 - 3x?y = C

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

A: a) Given vectors, u=-7i-4j-2k,v=4j+4kWe know that projection of u on to v is u.vvv^=(-7i-4j-2k)(4j+4...

Q: h(x, y, z) = xyz, P(3, 2, 6), v =

A: We will find the directional derivative. 

Q: Let f(x, y) = x² + xsin(y). %3D

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Q: Let C be the curve y = 5x for 0 <x < 2.2. %3D 50 45 40 35 30 25 20 15 10 5- 0.5 1 1.5 Find the surfa...

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Q: (y² – xy) dx – x²dy = 0 Ix-

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Q: 39. Determine the value of b such that the function х -а х>3 f(x) = } -2 x = 3 (ах — b х <3 is conti...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the fu...

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Q: 4) fG) = (2x+ 1)9 %3D

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Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

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Q: Consider the points A(3, –1,3), B(4, –3,0), C(-2, -2,0), and D(6,3, –5). - (a) Find the volume of th...

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Q: 1) Linearize: 3x arourd 天=l %3D

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Q: Solve for the derivative of the function using chain rule. 8. f(x)= sin (2x)cos (3x)

A: Given problem:- Solve for the derivative of the function using chain rule.   8.     f(x)= sin (2x)co...

Q: 4. (2y cos x + sin 'X) ax 5. y' = 1+ 3ytanx

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Q: 10. Homogeneous Equations: Solve the differential equation: xdy – ydx – x? –- y²dx = 0 O arccos() = ...

A: dydx=y+x2-y2xdydx=yx+1-(yx)2y=vxdydx=v+xdvdxv+xdvdx=v+1-v2x dvdx=1-v2  ...(1)

Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 8j + k v = 8i - 9j (a) radi...

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Q: 5) y>10 (3v-1) (1+5w)

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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: Solve the differential equation. ху' — 2у %3D х2, х>0

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Q: Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). I 5( . sin...

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Q: Find when the function is concave up and when it is concave down. (remember it is arctan not an expo...

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Q: Voter Registration The amount of voters in a city's district should grow at the rate of R(t) = 150...

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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...

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Q: - partial fraction 2х -3 -dx (x– 2\,x+3)'

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

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

Q: Determine whether each point lies on the line. x = -1 + t, y = 2t, z = 3 + t (a) (0, 2, 4) O Yes O N...

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Q: Un h+4 %3D We need to show that Un s Unai this is true eg uivalent to in n+1 (n+1)+1 - (n+1) (n+1)+1...

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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: Find the arclength of y 3x + 4 on 0 < x < 1

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Q: -x + 6y + 2z = 6 1. -x + 3y + z = 7 2 Find the normal vector, n,, to -x + 6y + 2z = 6. n = 1 Find th...

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