Find the area of the triangle with vertices P(1,3, –4), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the exact answer. A ||

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A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

A: The power series with center "a" is given by: ∑n=0∞an(x-a)n

Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

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A: We have to find the monotone intervals, relative extrema.

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A: Topic:- application of integration

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A: Let's find. 

Q: x2 3 |5 – x + C а. 5 – x3 - cos t dt 1 + sin t In 1+ sin(t)|+C b.

A: integration

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A: Answer of given question is in step2

Q: Consider the following planes. 5x + 6y - z = 132 x - 12y + 2z = 0 (a) Find the angle between the two...

A: Solution is given below:

Q: Prove using the formal definition of limit that lim c = c. xa

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Q: The sequence that begins 3, 3, 6, 9, 15, 24, ... could be O a geometric sequence. a Fibonacci sequen...

A: Topic = Sequence This Sequence could be a Fibonacci sequence.

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Q: 13x (b) sin 12

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

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Q: x + y + z = 1 x² + y² + z² = 2 x3 + y3 + z³ = 3 x5 + y5 + z5 = ?

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Q: Let v = (3, –5, 5). Find a unit vector in the same direction as v.

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and...

A: Given query is to find the formula for polynomial p(x).

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: Solution )a)  S = P e0.12n S' (n) = P (d/dn) e0.12n S'(n) = P × 0.12×e0.12n [ (d/dx)e nx = nenx  ] S...

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Q: 15. x*y' + 2xy = In x, y(1) = 2

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Q: Find an angle 0 with 0° < 0< 360° that has the same: Sine function value as 250° degrees %3D Cosine ...

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Q: derivative k(t) = 4.8t3 − 4t2 + 2t − 9; t(x) = ln x

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Q: 1. Define the function [In(x + 1)] cosh x + tan x ,x > 0 (sinh x) sec-(x - 2) f(x) = , X < 0 a. Show...

A: Here, the given function is: f(x)=[ln(x+1)] cosh x+tan x, x≥0(sinh x)sec-1(x-2).       x&lt;0

Q: the

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Q: A coffee shop currently sells 470 lattes a day at $3.50 each. They recently tried raising the by pri...

A: We have to make equation and maximize the revenue as given in this question. 

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Q: Let a = (2, –3, 5) and b = (4, 1, –1). Compute: a +b = (. a – b = ( 4. 2а 3

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Q: (a) Find the critical points, if any, of the following function on the given interval. (b) Use a gra...

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Q: Given the function f(n) = 2n - 6n³ – 8n? its f-intercept is its n-intercepts are Question Help: D Vi...

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Q: 3. The cost, C, of air conditioning your home, in dollars per day, when the temperature outside is T...

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Q: 3 + 6.4x. Let f(x) We will use the interval bisection method to find an approximate solution to f(x)...

A: Solved below

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A: integration

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region b...

A: Topic = volume

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A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 1.

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