Find the inverse of the matrix: in F7. 2 5 1 1 3 26 3 5

Q: would like to determine the total project completion time (in days) and those activities that le…

A: First we solve expected duration of each activity.Then we calculate critical path.

Q: Prove the following identities. Work on one-side only. 1+ sint Cost Cost 1-sint Show that cot² +…

A: ,  ,

Q: Problem 5. Consider the plane parallel to the vectors (-3,4,5) and (2, -6, -7), passing through the…

A: Given the vectors

Q: Suppose that in a given model for incidence geometry every “line” has at least three distinct…

A: According to the question,In model for incidence geometry where every line has at least three…

Q: Let J₂ = (0, 1, 2, 3, 4), and define G: JgJgJg x Jg as follows. For each (a, b) € 7₂ × 7₂. G#, 6) =…

A:

Q: Use the Divergence Theorem to compute the net outward flux of the following field across the given…

A: Let D be the solid domain enclosed by the closed surface S , then  .

Q: 3. Using any of the convergence tests covered in this chapter, determine which of the following…

A: Note : '' As per guidelines we will solve first three sub parts. If you want any specific sub part…

Q: Find the relative extrema of the function and classify each as a maximum or minimum. You must…

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Q: 1. Determine the orthogonal complement of the subspace of R³ given by: V = {(x, y, z)¹ : x - y = 0}…

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Q: ( 11, What is the smallest integer, larger than 1, which is both a perfect square, and a perfect…

A: Since you have posted a multi sub part question according to guidelines I will solve first( 1,2,3)…

Q: Derive the formula tan¯¹(x) =_¹. dx 1+x²

A: Introduction: The derivative of a function is defined as the instantaneous rate of change of a…

Q: Let f(x, y) = √x²-16 y² 2 y - 3 1) Find the domain of f 2) Sketch the domain of f on xy-plane

A: Given: A Function Aim: To find the domain of .

Q: 20 Σ²0 (4j² − (−3)³¹) Compute the summation by applying formulas

A:

Q: Identifying direction fields Which of the differential equationsa–d corresponds to the following…

A: Direction field:To determine which of the differential equations corresponds to the following…

Q: log(v-1) = 2 + log (v-16) solve and state restrictions

A: The given equation .The objective is to solve the equation for .

Q: Q4. CT/2 Using the corresponding reduction formula, evaluate sin" x dx. 0 Hint: it will be necessary…

A: Given: An integral .Aim: To evaluate the given integral using the reduction formula.

Q: In Exercises 14-15, find a basis for the subspace of Rª that is spanned by the given vectors. 16…

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Q: By completing the quare and using the First Shit Theorem calculate f(t) L (F(s)) when N C F(s) = 48…

A: We have to find .

Q: 3. Suppose a quantity X changes according to the law = 0.25.X-0.01X³ dt Identify the equilibrium…

A: 3. Suppose a quantity  changes according to the law .Identify the equilibrium solutions for  and…

Q: se the simplex method to maximize the given function. Assume all variables are nonnegative.…

A: Let's introduce slack variables s₁, s₂, and s₃ to convert the inequalities into equations:x + s₁ +…

Q: Calculate the integral of f(x, y) = y over the region 3 ≤ x² + y² ≤ 5 by changing to polar…

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Q: 3. Your maximum heart rate depends on your age. These data were collected from a sports journal: Age…

A: According to the given data,x202530y206200194Now find the following:a)

Q: Part 1: Create a rational function that fits the following criterias: Degree of the numerator is at…

A: Let's create a rational function that satisfies the given conditions. The function should have a…

Q: 5. Let V be the vector space of all continuous functions on [1,5]; that is, V = C[1,5]. -5 Let W be…

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Q: Consider the improper integrals 1 1 = ( =) = I x³ -dx II 1+x² + x4` 1 (a) Both improper integrals…

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Q: Let (t) = (t, t, tº, tª) for all t € R. Define C = Þ(R). Let p = (1, 1, 1, 1). Derive the tangent…

A: Let  for all Let the point be We need to calculate the tangent and normal spaces to C at p.

Q: 1. Explain the steps in solving the following logarithm. Be specific about the laws you used to…

A: Dear students as per our guidelines we can solve only first question. Kindly resubmit remaining…

Q: Use integration by parts to establish a reduction formula for the integral. [x¹¹ e- x² dx [xe-x² dx…

A: Using By parts formula we have to reduce the integration

Q: Evaluate √√x² + y² dA, where D is the domain in the figure and a = 26. (Give your answer in exact…

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Q: a. By directly evaluating the integral t ( f * 9) (t) = √² (e^t-e^(-3t))/5 the definition of f * g.…

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Q: Estimate the minimum number of subintervals to approximate the value of S (4x²+6) dx with an error…

A: We have to calculate the minimum number of subinterval required to approximate the integral   with…

Q: 19. The information in the following table shows the amount of sales and the profit from a small…

A: Sales($)(thousands)Profit…

Q: This question is about the approximating the integral: sin x dx. (a) Explain what is wrong with the…

A: We have to approximate the integral   by using left hand approximationWe know thatLeft hand…

Q: 1. Explain how you would graph y= 2 sin 2 [(x- pi/3)] + 1 using transformations. Then state the…

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Q: The vectors u, v, and w have the lengths of 1, 2, and 3, units respectively. determine which of the…

A: Given: The vectors  and have the lengths of  units respectively.Aim: To determine which of the…

Q: In Problems 23-28 find an explicit solution of the given initial-value problem. dr 23. C 4( + 1).…

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Q: 7. If the line integral of [ (8x + y + 6y²e²)dx + (ax + bye² + 3y¹) dy along the curve given by…

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Q: Problem 1. Let K be a field. Show that every finitely generated K-module is a finite-dimensional…

A: Given: is a field.To prove:Every finitely generated -module is a finite-dimensional -vector…

Q: Find the solution of the given initial value p a) y" + 2y + 2y = f(t), y(0) = 0, y'(0) = 0,

A: The  given equation  is  Suppose that .Then,   [since,                      Now, we  have  to  take…

Q: Let E be a real vector space and T € L(E). Show that (Ker T)c = Ker(Tc), (Im T)c (Tc)-¹ if T is…

A:

Q: Explain how the telescoping technique produces solutions to recurrence relations. Use an = an-1 + 2n…

A: Consider the given information,Now, find the value of an till to n=5.The key idea is to rearrange…

Q: 8. Given that a particle follows the path r= (t²-10t)i + (4t + 2)j + tk at what point is the…

A: Let us use the formula for tangential acceleration.

Q: 7. What basis for V = M(n, R) does Theorem 3.3 i) yield when applied to T(A) = A + AT, with W M(n,…

A:

Q: 7. The average annual exchange rate in Canada for the US dollar from 2008-2018 is shown in the…

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Q: 7. Prove Cauchy's theorem for a triangular contour (see the picture below) T by answering the…

A: Given:The function is assumed to be holomorphic on a region containing the triangle and its…

Q: Create a non-homogeneous system of five linear equations in five unknowns Az = 6, satisfying the…

A: We need to construct a system of equations  such that the matrix A is andThe restriction on the…

Q: Find a bound for the remainder R650 when using the 650th partial sum to approximate 3 1+ n² n=1…

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Q: Find a power series representation for the following function and the radius of convergence. 2 Use…

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Q: Electing qfices from members Cover being voted into a clubs: The followay Office N= (Alan, Bill,…

A: Permutation means the number of possibilities for choosing a given number of objects from the larger…

Q: Find the intervals of increase and decrease for the function f(x) = (2x + 1)e¯x.

A: The given function is: .To Do:Find the intervals of increase and decrease.