Find an equation of the plane. The plane that passes through the point (-2, 3, 3) and contains the line of intersection of the planes x + y -z = 3 and 4x - y + 5z = 2 39 x-v-23z = 33

Q: Given A = -5 3 31 -1 1 0, x= -2 1 1 Solve the matrix equation Ax = S r and b = C :b for x [100] 250…

A: here we have to solve the matrix equation.

Q: Prove that the product of any three consecutive positive integers is divisible by 3

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Q: Find the center of mass of a thin plate covering the region bounded below by the parabola y=x² and…

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Q: Below is the graph of a function f. 6-4-2 8 6- 4+ 2+ 2+ 2₂ 4 6 Use the graph to determine all the…

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Q: C. n=1 2-4-6 (2n) n!

A: Given series:- ∑n=1∞2·4·6······2nn!

Q: Find the distance between the skew lines with parametric equations x=3+t, y=2+6t, z = 2t, and…

A: Given :x=3+ty=2+6tz=2tx=2+2sy=4+14sz=-2+5s

Q: Approximate the solution to following system of equations using the Ga 10x₁ + x₂-x3 =18 x₁ +15x₂ +…

A: Here is the solution:

Q: Find the following limits. limn→∞ 3n2 + 1/          2n2 + 2n - 1.       2. limn→∞ √5n2 + 2n/…

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Q: Assume that a population was 796 when t=0, and 6 years later it became 2117. Assuming the population…

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Q: Find the equation of the plane that contains all points that are equidistant from two points…

A: Given that two points A(-1,3,2) and B(8,-2,4) and we find the equation of plane that contains all…

Q: (a) Compute the following values. f(0) = 100 f(10) = 75 Amazing work! Amazing job! (b) How many days…

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A: given point P(-8 ,5,6)  and   Q( 2,-1,5)then we have to find the equation of sphere which has centre…

Q: You invested $28,000 in two accounts paying 7% and 8% annual interest, respectively. If the total…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 8-3t, where 0 ≤ t ≤ 1 (in…

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Q: Find the absolute extrema of the function on the closed interval. g(x) = 5x² - 30x, [0, 7] minimum…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: 26 - x - 5 X→ 1 √5-x-2 Evaluate lim

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: given  r(t)=(5cost)i+(t2-sint)j+(4e4t)kat t=0x=5costy=t2-sintz=4e4t

Q: List five vectors in Span v₁, v2 = 2 18-18-18-18-18

A: To list five vectors in Span v1→, v2→. v1→=120, v2→=-2-30

Q: Solve this differential equation: dy dt y (0) = 5 = y(t) = 0.07y(1000y)

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Q: If the world's population increased exponentially from 6.081 billion in 2000 to 7.504 billion in…

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 (5 + ex)² et [(s+ dx

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Q: The length of the curve [x = e' cos(t) y = e' sin(t) Question Help: D Post to forum for 0 ≤ t ≤ 2…

A: Given :x=etcosty=etsint0≤t≤2

Q: Find the area of the following triangle T. The vertices of T are A(6,7,3), B(8,17,4), and C(6,8,3).

A: Here we have to find the area of triangle.

Q: Solve dzy dow -3 뿏 +2y = 르

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Q: When interest is compounded continuously, the amount of money increases at a rate proportional to…

A: dSdt = rS where S = amount present at any time t r = annual rate of interest

Q: 0 Find the first ten positive roots of cos 30 + sin- + = 0. 3 2

A: To find the first ten positive roots of cos3θ+sinθ3+12=0.

Q: Use the formula f'(x) = lim Z→X f(x) = 5 + √√7x f'(x) = f(z)-f(x) Z-X to find the derivative of the…

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Q: Let A = 17 4 Av= 3x - 3y ✓ O B(A) = ( = B 2 1 - 1x + 4y , and v = (x, y). رمه

A: Given A = 3-3-14B = 2-421

Q: The line graph shows the cost of inflation in some country. What cost $10,000 in 1975 would cost the…

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Q: Verify that the indicated expression is an implicit solution of the given differential equation. 2…

A: Here is the solution:

Q: Find the equation of the tangent line to the curve y = 6 sin x where x = 6 Y Use exact values.

A: Given: y=6sinx at x=π6

Q: dx ly dt dy 11 -e²x+3y Y sin² (t)y² = e-9 sin² (3t) cos² (3t)

A: (a) given D.E is dydx=x2ye2x+3y⇒dydx=x2ye2xe3y⇒(y e-3y) dy = (x2e2x)dxon integration both side…

Q: g(x) = - 5X ; a=0 LN Each graph is displayed in a [-1,1] by [0,20] window. Use the graphing utility…

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Evaluate the integral. (Use C for the constant of integration.) esin (9t) cos(9t) dt

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Q: Differentiate the function g(x) = 2x² + 7tanx. Answer g'(x) =

A: Given :gx=2x2+7 tanx

Q: Is the triangle ABC with vertices A(3, 2, -1), B(6.3.0) and C(-3, 1, 4) acute, right or obtuse? Note…

A: Given :A3,2,-1B6,3,0C-3,1,4

Q: 30. f(x) = 4 — x², - a = -1

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Q: Consider the differential equation: dy 9x² dx 9y² - 3 y(2) = 0 A) Solve the differential equation.…

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Q: 3 State the intervals on which the given function is increasing, decreasing, or constant. 25 20 15-…

A: Given query is to find the interval where function increasing and decreasing.

Q: 1. For v = (5,-2) and w = (3, 4), find the magnitude (length) of each vector (use | notation) and a…

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Q: y-values a 8 7 6- 4 3 2 1 1 g(x) 2 3 x-values If f(x) = g(x) · h(x), then ƒ'(2) = 4 y-values 5- 4 2…

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Q: The position function of a particle is given by r(t) = (t2, 2t, t2 - 16t). When is the speed a…

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Q: Assume a quantity decreases by 5.6% in 7.1 hours. What is the half-life of the substance? (Your…

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Q: Consider the parametric equations below. x = t2 − 5,    y = 2 − 4t,    −3 ≤ t ≤ 4 Eliminate the…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3 27 2 Find the center of mass of a thin plate of constant density & covering the region bounded by…

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Q: In Exercises 19-22, determine the value(s) of h such that the matrix is the augmented matrix of a…

A: (22)  let  A=2-3h-695R2→R2+3R1