Fin o all SoinEl ons 6 x EIO mod

Q: 6. A sensor is attached to a spring and its velocity is given by the function v(t) = cos(2t) feet…

A: Derivative of velocity function gives displacement function of a body.

Q: Find the value of X and Y in given that; -5 1 6 R = - 1 S = 3R + S = 4 y -1 8 3. 2. 2.

A: We want to find the value of x and y.

Q: 8. Motion along a circle Show that the vector-valued function r(t) = (2i + 2j + k) %3D j) + sin t V3…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: SET-UP the double integral that solves for the volume of the solid

A: To set up a double integral to find the volume of the solid.

Q: Each pair of polygons is similar. Write a similarity statement and find the scale factor. 4. B C 55…

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Q: minimize [f1(x) = 5x1 – x2, f2(x) = x1+ 4.x2| subject to -51 + 2.x2 3 X1 + 2x2 > 4 X1, X2 > 0 Draw…

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Q: 2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t e R. Given…

A: Sol

Q: Consider the polar curve r= 2 sin(0) + 3 ,0ses27, whose plot is shown below. 2.0 1.5 1.0 0.5…

A: Given that: r=2sinθ+3, 0≤θ≤2π

Q: (x – 2)² – In x = 0, [1,2]

A: Follow the python script.

Q: Evaluate sin z dA, where A is the same triangle as in the problem above.

A: The given double integral is: ∫∫Asin xx dA where A is the triangle bounded by x-axis, the line y=x…

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the |…

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Q: Use the cylindrical shell method to find the volume of the solid generated by revolving the shaded…

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Q: 1. рV(~ р@9) p p (~p q) F F F F >

A: The truth table is given as follows :

Q: Q2) Find the optimal solution using simplex method Max z = 8x, + 10x, + 7x3 s.t: 4x, + 6x2 + 3x3 5…

A: The problem is max z=8x1+10x2+7x3 subject to 4x1+6x2+3x3≤607x1+2x2+5x3≤406x1+6x2+9x3≤36…

Q: B. Temperatures in degrees Celsius (C) may be changed to degrees Fahrenheit (F) by using the formula…

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Q: (b) The equation 7x2 - 3xy + 5y² + 4x - 16y- 121 = 0 represents a non-degenerate conic. (i)…

A: We have to find the type of conic of given equation

Q: dxdy

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Q: Find T(t) and N(t) at the given point. r(t) = (t – 6)i + tj; t = 6 T(6) N(6) =

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Q: write o,154623 as frace on

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Q: - Suppose that A and B arenxn matrices and A is invertible. Invent and prove a theorem that…

A: Solution

Q: Find the Laplace Transform of 10 + 5t + t2 - 4t3 10 5 2 24 A s2 10 5 B) 10s + 5s2+ 2s3 – 24s4 2 5…

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Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: The equation of the given quadric surface is z=xy2. A generalization of the conic section in the…

Q: 1. Calculate the below questions using basic properties of projective geometry: a. Suppose there are…

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Q: You need to arrange four of your favorite books along a small shelf. How many different ways can you…

A: Given that Number of favourite books have to arrange in a small shelf=4 To find Total number of…

Q: Solve the following problems. Write your solutions and answers in your notebook. 1. A circular…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: AlLAnswer true or false , (five only ) ( All (-1)" 1 1. n=0 n! If lim an = 0, then an converges. 2.…

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Q: Find the orthogonal projection of -14 = -14 onto the subspace W of Rª spanned by and -2 projw(v) = 2…

A: To find The orthogonal projection of v onto the subspace of W of R^4 spanned by the given vectors.

Q: 1. (Qл R) v^P 2. "Q 3. Q → ~R P.

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Q: Problem 1. For this problem, let A := |0 1 0 2 1 2 O WeightedOrderAlg.java - Notepad File Edit…

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Q: Let Aj and A2 be basic subsets of X i. Is Aj U A2 a basic subset of X? ii. Is A N A2 a basic subset…

A: This is a problem of set theory and logic.

Q: Consider the quadratic function f: R3 →R defined by f(X) = xỉ – x1x2 + x – x2x3 + x3 + 1 A: Express…

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Q: thi.2 Evatuate the foltawingcartesian integrats by changing them inte equivalent Pelar integrals: 2.…

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Q: Area of the region insidethe circle (r=1) and outside the cardiad (r=1+cos).

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Q: (a) Let m be a positive constant. Calculate the Fourier Transform Ü(§) of e-m|x| U(x) x E R³. |x|…

A: Sol

Q: Assume that  dx1/dt= x1(2-x1)-x1x2 dx2/dt= x1x2-x2 a) Graph the zero isoclines. b) Show that (1,…

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Q: Solve the system of equations by graphing: S-3y + 6x 18 %3D 2x 6 If the system is inconsistent (has…

A: Solution:    (x,y)= (x, 2x-6)

Q: Let X be the graph of f(x) = r/3 given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: a) ir(A - 1)1- ( -2) %3D Find the matrix A

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Q: The series (-1)"n²n! 2n n=1 converges absolutely converges conditionally diverges diverges…

A: Ans: diverges

Q: اسخدملط Find the akeaf fakthie fallowingregions: Area enclesed by thediagram. V= sin 3 to

A: Given polar curve isr=sin3θThe area enclosed by the polar curve is determined as shown below.

Q: 2. An international airline has a regulation that cach passenger can carry a suitcase having the sum…

A: Solution:   let width =x, length =y ,height =z given  each passenger can carry a suitcase having the…

Q: 5 et L be the line given by the span of in R³. Find a basis for the orthogonal complement Lt -7 -9…

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Q: 33. (3) If f and g are analytic functions, then so is their product fg, hence it has a power series…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: v 38. Motion along a circle Show that the vector-valued function r(t) = (2i + 2j + k) %3D + cos t V2…

A: We will find parametric value of x ,y z and check what equation given by them

Q: Q2\A\\ ( Use the Integral Test to determine if the following series is convergent or divergent, (two…

A:

Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+2y+ 4z = 12

A: Given the solid plane 3x+ 2y+ 4z = 12. We have to find the double integral that solves for determine…

Q: herz Evaluate the fultowing carteSian integrats by changing them inte equivalent Pelarintegrals:…

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Q: min flx,,x) = (x, - 1)*+ (n,- 1)² Subrected to 」+Z2コ4 X,ーュ-2 き6 Hint : Convert to standard fom and…

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Q: For an n × n matrix A, we can similarly define the matrix exponential aseA = I + A + (1/2!)A^2 +…

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Q: Solve the differential equation y" +4y' +4y 6e", y(0) =-2, y'(0)=8. using Laplace transform

A: Given differential equation:y''+4y'+4y=6e-t ; y0=-2 and y'0=8To find: solution by using the laplace…