3- Find an equation of the Plane perpendicular to the line through (2,2,-9) and (7,-1,3) and containing the Point (-5,l,2).

Q: -x + 2y 3 %3D 4 II

A: Given the equations x'=dxdt=-52x+2y                         (1)y'=dydt=32x-2y…

Q: statements. (a) If Ha = Hb, then b e Ha and a E Hb. %3D (b) If Ha = Hb, then aH = bH. (c) If aH =…

A: We shall answer first there suspects of 1st Que only. For others kindly post again by mentioning…

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Q: The island of Slashenburn is depleting its rainforests at an alarming rate. In 1960 the forests were…

A: (a) From the given information, the initial amount N0=100 and 94% remained in the year1975. Note…

Q: followed by two digits. Determine the number of possible passwords if a.) repetition is not…

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Q: 7 Determine whether the series converges or diverges. If it converges, find its sum. 3m m=2 Select…

A: Solution :      ∑m=2∞(7/3m) = 7/32 + 7/33 + 7/34 + . . . . . . . .                           = 7/32…

Q: 6. For which values of a and b does the linear function L(x) = ax + b have a cycle of prime period…

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Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive?…

A: Given that a graph We have to find derivative of f(x) is positive.

Q: d 500 as a monthly payment for a new car. Your bank offers car loans at 4.5% APR for 3 years. How…

A: Introduction: The formula for the monthly payment is given by, M=Pr1+rn1+rn-1 Where P is amount of…

Q: aragus that weighs 15 pounds. The trim loss is 43%. What is the yield percent?

A: Introduction: The formula of trim percentage and yield percentage is given by,…

Q: (C) The cardinality of the set {1, 1}, {1, {1}}}is (a) 2 (b) 3 (c) None of these

A: Since , the elements are not distinct  so the cardinality is 1 . answer is (c).

Q: 1 2 1 2 5 1 3 7 2 4 9 3 -1 A = 2 -2 4 1 0 0 1 -1 0 0 0 0 1 -2 3 0 -4 2 B = 0 0 0 0 (a) Find the rank…

A: As per the rules we can only able to solve the first three questions So i solved the first three.

Q: QUESTION 10 Use LaGrange's Theorem to prove that a group G of order 11 is cyclic.

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: the inverse operation of S54 is a) C51 b) C54 c) S51 d) S54

A: To find The inverse operation of S54.

Q: 1 -4 2] Find a basis for Nul(A)-. 1 Let A -3 A basis is {v1, v2} where Vị V2 = ||

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Q: Write T as a matrix transformation.

A: Given, T is a linear transformation such that                 T2-2=12-2,   T-6-5=850

Q: dy Differential equation = f(x) · g(y) can be solved by separating variable as - = f(x)dx. dy + 1+y?…

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Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi – 2xzj + yzk; (9, -9, 7)

A: The curl of a vector field F is defined as  ∇×F=i^j^k^∂∂x∂∂y∂∂zf1f2f3

Q: -2 -1 -2 -4 4 -6 -5 -4 -4 Answer / compute the following. 7 7 -7 -5 -6 -9 6. Let M = 10 10 -13 10 -4…

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Q: (d) A basis of C(M) the column space of M (e) A basis of R(M) the row space of M

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Q: <²+y"<I. The plate including the bound 24°<l. The plate including the bound is heated so that the…

A: Introduction: The Lagrange method is used to maximize or minimize a general function f(x,y,z) under…

Q: 1. Given the function f(x) = () %3D (a) Find a power-series representation for f(x). f(x) dx =E Σ…

A: Given function is   fx=xex2

Q: provide answer fo

A: Introduction: Matrix multiplication is divided into two types: Scalar Matrix Multiplication, in…

Q: (1) Let R be the relation defined on Z by aRb if 2a + b = 0 (mod 3). (a) Prove that R is an…

A: (a) The relation between a and b represents that 2a+b is a multiple of 3.

Q: Toby has 13 oz. of food for each meal. If he eats 10g OZ. meals per day, how many oz. of food does…

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Q: Exercise To Try 6 Let f(z) = VT. Estimate the area A under the graph y = VE between a = 1 and b = 4…

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Q: z=1-y/3 and z=1-x. Evaluate the triple integral with order dx dy dz. 1. z -1-y/3 z 1-x In Exercises…

A: Limits of the integration can be found using z=0 in the equation of planes for the projection on xy…

Q: 1. Determine non-negative x and y that satisfy: X-4y<0 X- y<2 -2x+3ys6 20 y20 and a. Maximize f =…

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Q: Toby and Rocco have 30, toys between them. If Toby has 11-of the toys, how many toys does Rocco…

A: Base, in math, is defined as a set of digits used to represent numbers. Different number systems use…

Q: Given the original function f and the transformed function g below, find the values of a and b such…

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Q: (x – h)? (y – k)? 1. - Identify a and b for the ellipse with equation a? 62 a = b = h = k = 2, I|||

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Q: Determine whether the set S is linearly independent or linearly dependent. S = {(-5, -2, 4), (2, -1,…

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Q: Is this statement true? If Ax = b has a solution for b, then A must be invertible.

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Q: -Let e bodefined on Z by afb if 3 (29+75) a) Prove tect R 5 an eaulualerce Pebatiors…

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Q: In an M/M/1 queueing system, the arrival rate is 9 customers per hour and the service rate is 13…

A: Given that, the mean arrival rate is λ=9 and mean service rate is μ=13. Consider the formulas for…

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Q: 5 -2 1 1 Show that A and B are similar matrices by finding an invertible matrix P satisfying A = P…

A: As this problem is related similar matrix, hope you know how to find inverse of a matrix,…

Q: Toby and Rocco have 30, toys between them. If Toby has 11-of the toys, how many toys does Rocco…

A:

Q: Consider the function f(x) = cos(2x). %3D 1. Find the Taylor series for f(x) at x = T.

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Q: The minimum value of the function f(x, y) = 8x² – 2y +1 subject to the constraint x + y = 1 is:…

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Q: I contains 7 red balls and 7 blue balls. A w many balls must she select (minimun

A: Given, The number of red balls is 7 and the number of blue balls is 7 in the bowl. The number of…

Q: Evaluate int int int _D sqrt(x^2+y^2) dV, where D is the region bounded by the cylinder x^2 + y^2 =…

A: To find- Evaluate ∭Dx2 + y2 dV, where D is the region bounded by the cylinder x2 + y2 = 1, lies…

Q: x In x at 0 < x < 1 1-x Show that the function f () at x = 0 is integrable on the interval 0, 1]. -1…

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Q: Express 4/10 as a percent

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Q: For f(x)= (n+g/x)*m * , find f'(0.1) and f"(0) correct to three decimal place n = 17 g = 4 Use…

A: Given f(x) = 17 + 4xsin(x) The value of table for x and y x -0.2 -0.1 0 0.1 0.2 0.3 y 0 0 1…

Q: 2 4 4 0 -2 2 3 2 1 -1 1 0 05 -2 1. Let A= and C = Let a = 4 -2 -6 5 and 3 =. Compute the following:…

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Q: Explain why S i not a basis for R?. S= {(5, 3), (1, 0), (0, 1)} O sis linearly dependent. O s does…

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Q: ng) 1 k(x-a) + 2x -Z =0 k k (y-a) + 2y -2 -0 Ger %3D k(z-a) )-x-y +2z= 0 X: ak (k+3) k? +Ak +z of

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Q: Solve the differential equation (x + 1)y' + 4y = 5 sin x (x + 1)3 *> - 1.

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