Find two vectors parallel to v of the given length. v=PQ with P(2,7,0) and Q(1,3,4); length = 99

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Q: Find the solution to the initial-value problem dy dx e5y. 3, y(0) = ln(ln(3))

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Q: Assuming - 2x³ + 4y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dy dx -…

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Q: Given f(x, y): fz(2, 3) - fy(2, 3) = -4x¹ +5xy² + 2y³, find the following numerical values:

A: The given function is; f(x,y)=-4x4+5xy2+2y3Find fx(2,3) and fy(2,3).

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Q: Compute the derivative (r₁(1) r₂(t)) if r₁(t) = (15,1³,16) r₂(t) = (e²¹, est, e7¹ ) (Use symbolic…

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Q: Q2. The number N of bacteria in a culture at time t is given by N = 2000 (30+ te -70). 1 Determine…

A: The number of bacteria in a culture is given by We need to find the largest number of bacteria in…

Q: Let f(x) = 2x² + x - 6. (a) Compute the difference quotient of f(x f(x +h)-f(x) h (b) Compute the…

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Q: (7) A formula for the general term starting with n = 1 of: A) {} B) {} C) (-1)" 3") 472 D) 39 - ) -…

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Q: Find the transition matrix from B toB'  B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}, B' = {(0, 0, 1), (1,…

A: Given :- To Find :- The transition matrix from B toB'

Q: The Lagrange multiplier technique is to be used to find the points on the ellipse 2r² + y² = 1…

A: The Lagrange multiplier technique is to be used to find the points on the ellipse  closest to and…

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Q: Find the solution of the differential equation r" (t) = (et-6, ²-1, 1) with the initial conditions…

A: We will integrate it with respect to t and then use initial conditions to find the values of…

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: 9. Given the best fit line as: y = 0.634x+64.945. a)Calculate the residuals for the points in the…

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Q: 3) lim x-1 f (x), where f(x) = |x-1| + 1₁ x 71 X X-2, XLI

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Q: How would I solve when it asks this? Using the same equation as previous

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Q: x Cost dt. Find an equation of the tangent line t to the curve y = F(x) at the point with…

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Q: (20) Consider E-1 If the ratio test is applied to the series, which of the following inequalities…

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Q: the graph of y=f(z) (below) to fill in each box with the best possible answer: 1) lim (2) 3 11) Im…

A: By using the graph of  to find the following limits.Note: Since the student has posted many…

Q: -2 1 2 y = 0 4 y = x^3 - 8x^2 6 |▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬| 8 10 12 X

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Q: Item 3 If f(x) = 2x² and g(x) = 1. (fg)(-3) II. (f- g)(2) 9 IV.(ƒ + g)(1) 0.5 108 The largest value…

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Q: e) Plane that is parallel to the xy-plane that contains the point A(2, 1, 3) (ca

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Q: Letf(x)=1-x. If the region humed by the curve and x and y exis is revolved about the axis X=1, Find.…

A: f(x) = 1 – xIf the region bounded by the curve and x and y axis is revolved about the axis x=1Find…

Q: Find the equation of the line normal to the curve y=x³-4x at the point (2,0). Sketch the curve and…

A: Given curve Point(2,0)

Q: the location at t = 3 of a particle whose path satisfies 5 dr dt - (18 18t (1 + 1)2 + 21-4) r(0) =…

A: We find the value of r(3)

Q: The following table gives some of the values of g(x), g'(x), ƒ(x) and ƒ'(x): Use the table to find…

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Q: Evaluate the following improper integral whenever it is convergent. 4 [ * / / dx

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Q: 21. j tan x sec'x dx 23. tan²x dx 25. tanx secx dx 27. ftan'x sec x dx 29. tan'x secox dx 31. tan³x…

A: 25). 31).

Q: Use the graph of g in the figure to find the following values or state that they do not exist. a.…

A: By using the graph of  in the figure to find the following values or to state that they do no…

Q: e or plane that is perpendicular to the planes 4x-2y + 2z= -1 and

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Q: Questions #8 to #12 pertain to the accompanying Venn diagram. 10. What is the value of n(A)? a) 12…

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Q: Determine the exact value of each of the following expressions. sin 7π 6 (47) 3 cot cos(-5+7)

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Q: In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 17…

A: The total number of jurors is 17.

Q: Find the solution to the initial-value problem dy dx 4x = y²e¹* sin(2x), y(0) = 1

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Q: Which of the following integrals represents the area of the surface obtained by rotating the curve y…

A: Area of surface obtained by rotating the curve about x axis is given as

Q: Determine whether the series is convergent or divergent. Σ(13)

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Q: If an object is moving with v(t) = 3 cos(t) and the position X(0) = 1, what is the position of the…

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Q: Let f(x, y) = x² + 2y¹ - 40xy

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Q: calculus medium, please solve questionnnn 6

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Q: 1. Indicate if each statement Is True or False. Write the word True or False not T or F. a) b) C) d)…

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Q: Let D be the triangle in the xy plane with vertices at (-2, 1), (1, 0), and (3, 4). Describe the…

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Q: Using the graph above, evaluate the following limit. lim f(x) (A) 1 (B) 2 (C) 3 (D) The limit does…

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Q: Find the distance between the points using the following methods. (1, 5), (4,7)

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Q: If dy = x cos x² and y = -3 when x = 0, when x = π, y = -3.215 2 1.647 6

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Q: If F(x)=4-x and g(x) = 2x +3, find a value of such that F(x - 2) = g(2x). 40 22/10 0-2 O 0-1/3 O LO…

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Q: 2. Determine the derivative of the function f(x) = 2x² ecos 2x Express you answer in simplified…

A: Given :-  The function To Find :-  The derivative of the given function.

Q: A region bounded by f(x) = Væ + What is the volume of the solid formed by revolving the region about…

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Q: x² - 1 x-1 dx

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