A: The plane Ax - By + Cz - 1 = 0 pass through non collinear points (1,1,0), (2,0,-1) and (2,9,2). Determine the equation of the plane by using Gauss elimination method.

Q: you have been given the linear syestem. following X'= determine the eigenvectors and the matrix. 3 2…

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Q: If cos a = 0.439 and sin ß= 0.944 with both angles' terminal rays in Quadrant-I, find the values of…

A: Formula

Q: The Cartesian coordinates of a point are given. (a) (6, -6) (i) Find polar coordinates (r, 0) of the…

A: a) given cartesian coordinates are (6, -6)"As per the rules, we are supposed to answer the first…

Q: Find the volume of the solid graduated by revolving the area bounded by the given curves about the…

A: Given that ,find the volume of the solid by revolving the area about .

Q: For y=-5 cos(x- its amplitude is its period is π 9

A: The given trigonometric function is:y = -5 cos(x - π/9)Let's break down the components of this…

Q: A square based box is to be constructed such that its volume is exactly 1.8m³. The following…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: If 0 < p < 1 then the integral is equal to: Ор 7- 82

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Q: Q9.7 Look at the directional fields of phase planes below. Draw a line to match each phase plane t…

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Q: If sin(x) tan(2x) = = 3 26 (in Quadrant-I), find (Please enter answer accurate to 4 decimal places)

A: Sin(x)=3/26 (in quadrant - first) Find tan(2x).

Q: Find the absolute minimum and maximum. value of the function. f(x) = x +49 +7 on the interval [1,98]…

A: We solve the given problem by using the differentiation concept.

Q: Consider the following. A = Write the above using cylindrical coordinates. (Choose 0 < A. Choose 0 <…

A: The given integral is

Q: ƒ'(x) = = x - 1 (2 - x)³ f"(x) = = 2x - 1 (2 - x) 4

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 5(x − 1)² +…

A: The given equation is; z=5(x-1)2+3(y+3)2+6, (2,-1,23)Find the equation of the tangent plane to the…

Q: Express the following sums using sigma notation. a. 7+9+11+13+ ... +99 b. 2+7+12+...+42 c. 5+12+19+…

A: To express each of the following sum by using sigma notation.Note: Since the student has posted many…

Q: When a model rocket is launched, the fuel burns for a few seconds, accelerating the rocket upward.…

A: We have to find the velocity and time from the given graph.First we will conclude information from…

Q: Find the volume of the solid graduated by revolving the area bounded by the given curves about the…

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Q: Find taylor polynomial T3(x) for f(x)=cos(x) at a=π/2

A: To find the Taylor series of  centered at

Q: Estimate the error, R3, when using S3 to approximate the series below. 3e³n en +1 If necessary,…

A: To estimate the error  when using  to approximate the series .

Q: On the graph below, we show a contour line of the function f(x, y) = 0.6000000000000001x-0.6x²…

A: A contour line is a curve that connects points where a function has the same value. In this case,…

Q: A car is driving away from the base of an 80-meter-tall building. a. Write an equation relating x…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: If sin a = 0.683 and sin ß= 0.522 with both angles' terminal rays in Quadrant-I, find the values of…

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Q: Find the Taylor polynomial T3(x) for the function f centered at the number a. f(x) = xe-5x, a = 0…

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = xzi+yzj+3z²k across the boundary of the…

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Q: You have been given the following system of linear differential equations: Determine the most…

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Q: Write the sum without sigma notation and evaluate it. 4 k² 22 12/24 Σ k=1 12 2² 32 4² 15 A

A: NOTE: Refresh your page if you can't see any equations..The given series is,The limit of k is 1 to…

Q: Find the most general Function F Such thuit F₁(x)= 3 8x³717 VX

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Q: (a) Determine the profit function. Include units! P(x) = = (b) Determine the marginal profit when x…

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Q: Find the area of the shaded region. r = 4 + 3 sin (0) -5 y UI 5 -5 in 5 X i

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Q: 6 (a) Find   sin(u/2)   if   csc(u)=15.673   and u is in Quadrant-II (assume that 0<u<2pi).…

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Q: Given: ⇒ 6 tan x- - COS X 2 - 3 sin x -

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Q: Determine all critical points for the following function. f(x)=2x(4-x)³ X= (Use a comma to separate…

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Q: Which statement is true about the infinite series It is absolutely convergent 1 In 2 + In 3 1 In 4…

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Q: A manufacturer of plastic containers wants to determine what will be the production that maximizes…

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Q: Find the work done by the force field F on a particle moving along the given path. F(x, y, z) = yzi…

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Q: S.Sº Which one of the following Riemann Sums approximates da using 4 subintervals of equal x length…

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Q: (c) [ √4x² X -dx

A: The given integration is

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of in…

A: Given the polar equationr=θ

Q: The population of Bradford is increasing at a rate of 5.1% per year. The city council predicts to…

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Q: Evaluate the line integral, where C is the given curve. (z² + 2xy)dx + x²dy + 2xzdz, where C is the…

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Q: Graph both the sequence of terms and the sequence of partial sums on the same screen. Use the graph…

A: Solution is following in step 2.

Q: Compute ○ 6 ln(11/7) LO 5 In(5)/5 0 1 1 7 1 (-) 117 O 1 ° ( - O 1 1 5 1 115 25 75 O 6 ln(11/7) 115…

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Q: Find a unit vector in the direction in which ƒ(x,y) = √x² + y² increases most rapidly at P(π/6,π/4);…

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Q: Q(t) = 800e0.0

A: Given that a exponentially growth function of Q(t)  and we find growth constant K and value of Q( 0)…

Q: Integrate f(x, y, z) = xyz along the curve r(t) = 2ī+(3sint)j + (3 cost)k, 0≤t≤ T

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Q: 7 For the function f(x) = x³ + 3x² find the following (Show your work) (a) Intervals of…

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Q: Evaluate CurlF-nds F(x,y,z)=xi+yj + zk, and S: z=√√x² + y²₁ z≤2 and n is outward. S

A: ∬SCurlF⋅ndSwhere F(x,y,z)=xi+yj+zkand S is the surface defined byz=x2+y2 with z≤2,

Q: Find the coordinates of the point of intersection of the perpendicular bisectors of the triangle.…

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Q: Find the sum of the series. 00 n=0 e-(5n)2 3(n+1)! 57 37n! X

A: The given series .The aim is to find the sum of the series.

Q: Find the derivative y= dy dx √x S 5t cos (1¹0) 0 ¹0) dt

A: