Find an equation of the plane containing all of the points below: P: (3, -2, -1), Q: (1, 1, 1), R: (4, 1, 0).

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A: Given the query is to find the derivative of the expression using definition.

Q: 5. Let L and Q be lines in R³ given by the equations below. Line L:y +t-3 日- 3 Line Q : -13 +r |3 13...

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Q: 1. lim 5.54

A: To evaluate:limx→ c5.54

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Q: 19 please

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A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other remaini...

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Q: lim x 1. x- 3.

A: Follow the procedure given below.

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Q: 10. limx- 2x+x- 713

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Q: 41. Let f(x, y, z) =x?y+ y²z. Use the Chain Rule to calculate af/as and af/at (in terms of s and f),...

A: Since f is function of x, y and z.  For partial derivative f with respect to s and t we using chain ...

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Q: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

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Q: S2x+1, x54 x² +12, x>4 3. Is the function f(x) = continuous?

A: topic - continuity of a function

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A: Please refer to the image below 

Q: 3. The differential equation 3y(r -1dx+(x' +8y-3xdy 0; is exact because ам ON

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Q: 4444AAAAL te =2 +2 =6 +2-X +2=6

A: Given query is to find lines are parallel or not.

Q: Find a parametrization for the line segment beginning at P,(4, - 7,- 7) and ending at P2(0, - 7,2).

A: The line segment beginning at P1<4, -7, -7> and ending at P2<0, -7, 2>  

Q: Determine whether the series converges + 4 00 k + 8 k%3D1

A: Find your answer below 

Q: 4. S sin xdx 5+cos?x dy 5. S 15+4y-4y2

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: What is the slope for the function y = 2x2 + 2 at the point x 3?

A: given y=2x^2+2

Q: Find the value of 6dx x2 + 1 1 Determine whether 6 n² + 1 n=1 is a convergent series. Enter C if ser...

A: Given query is to find the value of the integral.

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Q: Evaluate the integral. xex . (1 + x)2 xp

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Q: Evaluate the following functions. 1. lim x² • cos x 4

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Q: Quadratic Formula Linear Equation in one variable x 2 + 8x + 25 = 0 Quadratic Equation Quadratic Fun...

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Q: Consider the demand equation where x represents the quantity demanded in units of a thousand and p i...

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Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O...

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Q: dy Determine or y' of the following functions in terms of x. dx y = /x + JxT A. y- (++)" В. y = (x +...

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Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

A: Given that: 13lnnnn=1∞

Q: Fnd the さ pub bength and direction of W=-Tiー分i-6r

A: Given  u = -7i-5j-8k, v = 0 u×v = ijk-7-5-8000u×v  = 0i-0j+0ku×v  = 0

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Q: 6. Suppose f(x, y) is differentiable. x(s, t) = 4s + 3t + 2st + 3 and y(s, t) = 7s + 3t2 + 2. We are...

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Q: dy Given the equation below, find 20z + 4x®y+ v 15 dy

A: Please refer to the image below

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Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

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Q: (a) f(x) =x² – 2r

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

Q: Francesca's gross pay for her pay period was $3,400. How much of her earnings were withheld for Medi...

A: The medicare tax is 1.45%.

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Q: Basic Skills 7-14. Substitution Review Evaluate the following integrals. dx | (9x – 2)3 dx 8. 7. (3 ...

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