5. -dx

Q: Exercise 6| Show complete proof and solution. In R" wheren E N, let B,(x) = {y : ||x – y|| 0) such ...

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Q: What is the relative minimum value of the function f(x, y) = x³ – 3xy + y³ – 2?

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Q: a. Show that the null-space N(A) is a convex set. Is it true for every A?

A: As both questions are of different type,we shall solve first Que only. For other questions kindly po...

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Q: Let S = {(1,1), (1, 2), (2, 1), (3, 2), (3,3)}. Consider the polytope conv(S). Write this set as {r ...

A: The given set is S=1,1,1,2,2,1,3,2,3,3. We know that the polytope:  ConvS=λ11,1+λ21,2+λ32,1+λ43,2+λ5...

Q: 4 Q1. Find an approximation to V9 using 4 steps Bisection Algorithm

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A: To find- Use the third Taylor polynomial P3x for fx = x lnx + lnx about x0 = 1 and evaluate f2. 

Q: Finding an interest rate: Suppose you invest J$ 150,000 in a special 5-year savings account with a f...

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Q: Use Euler's method to approximate the solution of the following initial-value problem at t = r: y' =...

A: Let us consider the differential equation y'=f(x,y), y(x0)=y0 To determine the value of the function...

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A: Given: A two-form on ℝ3, ω=e8x+zdy∧dz+e-ydz∧dx+e6x-zdx∧dy A smooth function ϕ:ℝ>02→ℝ3, where ϕu,v...

Q: Use the discrete logarithm modulo 11 with base 2 to solve the following congruences: 4x2 = 9 mod 11

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Q: 3s+2 4. s² – 8s +25 5s2 +8s – 1 5. (s+3)(s²+1) |

A: Given Laplace Equation 4.) 3s+2(s2-8s+25) 5.) 5s2+8s-1(s+3)(s2+1) linearity property of inverse Lapl...

Q: (5+ 12i)w – 5z = 4.8 – 3i 5w - (12 – 7i)z = -5.2 – 3i %3D

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Q: x²+3X -10 しim X-5 Sin (x+5)

A: Introduction: The limit of a function is a value to which the function moves as the independent vari...

Q: 33. Compute the differential equation * + y = 0 when y (0) = 1, y (0) = -1 dx2 O y = 3e* - 2xe* O y ...

A: Solution

Q: x + y + z = 30. An audio engineer is trying to fix a speaker on the ceiling. Assuming that the audie...

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Q: An equation containing derivatives or differentials is called a/an (A) trigonometric equation (B alg...

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Q: Each month, the city of Accra generates an average of 28 pounds of waste. Assume the variable is app...

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

Q: tegting the functien fr + Scdr uing intagration by parts, what would you choose for your d

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

A: Given series S = 71.3+72.4+73.5+. . . +7n(n+2)+. . .

Q: 3 If w =-i, determine all the roots of Vw. 2 5

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Q: Find the general solution of the given differential equation: x²y" – 4xy' + 6y = 0

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Q: Consider the following statements: f: The tour will not go to Italy. g: The hotel fees are not inclu...

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Q: If w =-i, determine all the roots of w. 2 5

A: The rectangular form of a complex number is given by. z=a+bi . Substitute the values of a and b . z=...

Q: 10 people( consist of male and female ) seating in a table with 10 chairs, in how many ways we can c...

A: The total number of ways arranging 2 people at any of the seat is as follows:

Q: 1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of 1...

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Q: 7. An oblong number counts the number of dots in a rectangular array having one more row than it has...

A: we have given An oblong number count the number of dots in a rectangular array having one more row t...

Q: Determine the value of the following: a. F15 + F10 b. (F7+F8+...+F16)/11= Fn , what is n? c. F35

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Q: a) etty dA ,Where D= {(x,y)||x|+ \y| < 1}.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Find the number of solutions to 6z1+9z2+20z3=150 where the zi are nonnegative integers

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Q: 5. simple limit of positive definite function is also positive definite function. p(x) = lim ,(x)

A: Solution :-

Q: please show input for graph ploting using demos

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Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coeffi...

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Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

A: We know, perimeter of the sector is two times the radii and the arc with angle θ.P=2r+rθ    ...........

Q: Calculate the simple interest due on a 45-day loan of P1,600 if the interest rate i

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Q: Use Secant Method to approximate the root of the function: f(x)= x2 - 5 at Xo = 2, x1 = 3 What is th...

A: we have given the function f(x)=x2-5     x0=2, x1=3 we have to find the approximated root after the ...

Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle points o...

A: 1st we will draw graph to identify local maximum/ minimum or saddle points  then we will use calculu...

Q: The equivalent of Z sub 5 is set of non-negative integers less than 5. What will be the value of 2 p...

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Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

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Q: If w =-i, determine all the roots of /w. 2

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Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for ...

Q: 2- Determine the equations of all asymptotes for the function f(x)=(2x++13X³-3x²- 82x+40)/(x³+2x²-11...

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Q: Consider the data points (1, – 1), (2, 2), (3,4), (4,6). (In this problem, feel free to use a calcul...

A: The data points given can be written in a table as follows: x y 1 -1 2 2 3 4 4 6 We ar...

Q: Consider the function f(x) = x³. Construct the Lagrange interpolation polynomial which interpolates ...

A: We have to find the Lagrange's interpolation polynomial of the function fx=x3 using the given values...

Q: Evaluate (Ïa) given a constant force of interest 8 = 0.08.

A: Given: Constant force of interest δ=0.08. To find: The continuous payable annuity Ia¯∞¯.

Q: 2. If AMAY = ADEC, for which value of x will make the triangles congruent it MA = 4x + 7 and DE = 2x...

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Q: 15.5 Prove that if n is a perfect square then n = 4q or n = 4q + 1 for some q e z. Deduce that 12345...

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Q: 1. Determine the optimal value and whether the optimal value is the maximum or minimum? a) z = 4x2 –...

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Q: Find the general solution of the given differential equation: 3t'y" + 7ty' + 10y = 0

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Q: A charged particle moving in a magnetic field will experience a magnetic force. Suppose that the mag...

A: Start from the origin, move p units to the right along the x axis and q units up along the y axis to...