Solve by using the method of Laplace transforms: y"+9y = 2x + 4; y(0) = 0; y'(0) = 1 %3D

Q: (2 1 2 and vectors x = |1 and y = |1 %3D Consider the matrix A = |0 1 -1 0 -1) Let vector v be…

A: First we will find the value of AT then we will find the value of v as given and find the scalar…

Q: Find the area bounded by the given curves, axes and/or lines. 1. у2 +х — 4у 3 5; у-ахis 2. y = 3x –…

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Q: Consider the function f(x) = x2+1 (c) Find the intervals of concavity and the points of inflection…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: For the following function, find its inverse. f(x)= In(5x – 2) | a. f'(x)= (e* - 2)/5 b. f'(x)= (e*…

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Q: Determine the linear approximation of f(x) = x' at x = 1. О а. уз- 1 х-0 О Б. у3 1x +0 O c. Not in…

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Q: C. Find the moment of inertia about x-axis of a thin plate bounded by parabola (x = y- y) and line…

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Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 +…

A: Given, System of linear equations: 2x1 -x4 =-1 5x1 +x2 =1 x3 =1 -x1 +4x3 +x4 =0 we can write it as…

Q: A box-and-whisker plot does not show the

A: This is a question of theoretical distribution and Box Plot.

Q: What is L in this problem?

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Q: Prove that the number V7 lies between 1 and 2.

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Q: summarraize the concentration of the drug in the bloodstream for the first 20 hours afetr it is…

A: The summary of the concentration of the drug in the bloodstream for the first 20 hours after it is…

Q: Q2/B) Solve the following differential equation by using homogenous D.E method dy dx

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Q: Find all integral solutions of the linear Diophantine equations 6x + 11y = 41

A: We recall a standard theorem about Linear Diophantine Equation and then use that theorem to solve…

Q: theorom's Let fix-j be afflicfion atlologteat sface- (xTx) Xo a Xofolojicalt Space ($ g} the…

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Q: |x°V16x6 – 24.x3 +9 dx -

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Q: 1 Verify that + xe3x 3 -3x e dx is the particular integral to the differential equation | dy 1 + 9y…

A: Method of Variation of perameters

Q: (a) Change variables using the substitution u = t. Explain why that won't help with solving this…

A: The main objective is to decide the function increases or decrease in the interval [1, 2].

Q: * Minimize C=5x-6y Subject To 60–8xy. a. Find x*, y*, 2*, C* b. Use bordered hessian to verify.

A: This is a problem of optimization.

Q: 5) Find the area enclosed by one petal of r= cos cos (4 0)

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Q: The table lists fossil fuel production as a percentage of total energy production for selected…

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Q: 3) A local grocery store is selling lots of toilet paper. Every time they looked they had sold half…

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: Comstruct a glide redecton of angle ABC using vector vand relection ine Next question Cheose the…

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Q: 5. Write the solution of the following Cauchy problem for the wave equation on the real line as a…

A: Given  utt=uxx ,    -∞<x<∞ , t>0  u(x,0)=ϕ(x)=2(3-x),  -3≤x≤30,…

Q: Find the values of A for which the following equations are consistent: 2x + y = 0 — х+ Лу +5-0 - х —…

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Q: Give an example where the statement: If U and V are vector subspaces of Rn, then U ∪ V is also a…

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Q: Find the equation of the tangent and the equation of the normal to the curve y = x + + at the point…

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Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) eteU = e4…

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Q: Q1. Test the convergence and divergence of the foliowing: ninl Inn 6. Σ %3D1 71 (comparison test) 8.…

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Q: Let R be a commutative ring with unity, I an arbitrary ideal in R and P1,P2,...,Pn prime ideals in…

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Q: Find the basic feasible solution following (T.M) by using DI D2 10 D4 Supply 5 500 D3 S1 11 S2 3. 10…

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Q: Write an integral that represents the area of the shaded region of the figure. Do not evaluate the…

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Q: How did you get 1=5a+5b I understand how you got all the values for the formula but why did you…

A: Solution

Q: Dims 8. A right square pyramid has 15 cm on a side of its base and the base. lor hexagonal pyramid

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Q: Calculate the value of (100°)'' × [10-7 × (0.1)*] ". (0.1)*]". Give answer as a power of 100.

A: (109)11 x [10-7 x (0.1)4]10 = 1099 x 10-70 x (0.1)40 = 1099 x 10-70 x (10-1)40 = 1099 x 10-70 x…

Q: (7) The radius of a sphere was measured and found to be 20 cm with a possible error in measurement…

A: Given:                      Radius (r) = 20 cm                                    ∆r = ±0.05 cm

Q: Show that In(x") = y In(x) for all x, y > 0, only using the rules of derivative for the natural…

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Q: Prove that the subgroup {o E S5 | o (5) = 5} of Sg is isomorphic to S4.

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Q: Let a € Zz be a zero of the irreducible polynomial p(x) = x3 + x² + 2 in Z3[x]. a. What is |Z3(a)|?…

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Q: . Consider the function g defined by 1 g(x, y) = cos (Tx y) + log3 (x - y) Do as indicated. 1.…

A: As per policy, we are allowed to answer only 1 questions at a time. So, I am answering the first…

Q: Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2х2 +3х3 +x4 10 Bring the…

A: System of linear equations, using argumented Matrix

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: To find the surface area of the below plane that is in the first octant. 15x−5z+20y=35

Q: Solve the below pair of simultaneous equations using determinants: 3x + y -15 = 0 2x - y - 5 = 0

A: Rewrite the equation as  3x+y=152x-y=5 write the equation in matrix form  D=312-1 find the…

Q: Select all the real numbers M among the choices below such that the two planes given by r. -2= -3…

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Q: Write 735 as a sum distinct powers of 2

A: 735 = 512 + 128 + 64 + 16 + 8 + 4 + 2 + 1 Now 512 = 29          128 = 27            64 = 26…

Q: Calculate the value of (1 + 2i)² and then use this value to find the roots of z – z + (1 – i) = 0.

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Q: a. Give the smallest extension of Q that contains all the zeros of x4 - 2x2 – 15.

A: We shall answer first question only as you have asked diff question without mentioning. For others…

Q: 2. Find the Taylor series for f(æ) = sin(2a) centered at 7/2. %3D Find the radius and interval of…

A: Solution

Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis b. the…

A: We have to find the area of the region bounded by the curve y = x³ - x² - 2x A) the x-axis b) the…

Q: Let Gbe an open set in R". Two points x, y e G are said to be equivalent if they can be joined by a…

A: Since every open subset of Rn can be written of countable union of disjoint open balls and each ball…