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Q: On a number line, what other number is the same distance from -2.8 as -7.2 is?

A: The numbers and  are lie on the number line.The aim is to find the other number that lies at the…

Q: Use Gaussian elimination to solve the following linear system. x+2y-z=1 2x+3y + 12 = 2 x+3y- 2z = 3

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Q: Use A-¹ to decode the cryptogram. 1 2 2 3 7 9 -2 -4 -3 A = 8 19 30 Need Help? 19 -33 -5 -1 -2 2 0 1…

A: Now we find A-1  by Using Gauss -Jordan Elemination

Q: Valencia Products make automobile radar detectors and assembles two models: LaserStop and…

A: Maximize profits.t.and

Q: Why k(k+1) is an even number?

A: We have to tell just  that why k(k+1) is an even number.Here we considering that you understood  the…

Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

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Q: Let A = 1 O O 0 Jordan's normal form. Find C such that C²₁AC=J₁

A: Given matrix:To find: A matrix  such that .Concept used:1) The Jordan decomposition of the matrix…

Q: Use both the washer method and the shell method to find the volume of the solid that is generated…

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Q: 3. Find the general solution using the method of Frobenius. 1 1 y" + y² + (1 − __¹2₂_ )y = 0 ¼ y'…

A: The given differential equation is y″+1xy′+(1−14x2)y=0.Therefore this differential equation is…

Q: Consider the elementary basis vectors & € R¹ (column vectors). Show that the matrix eje +e₂e₂+...+ee…

A: Given that ei→∈Rn are elementary basis.We need to show that e1→e1→T+e2→e2→T+…+ek→ek→T has rank k.We…

Q: Find the value of yo for which the solution of the initial value problem sint, y(0) = yo remains…

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Q: Find the trigonometric Fourier series for the function f(x): [-T/2, T/2] - R given by the…

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Q: Determine if b is in the span of the columns of A where A is given below. If so, clearly state the…

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Q: 70. Consider the matrix M = (ab) where a and c are real and b may be complex. If M can be…

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Q: d'y / Using reduction of order method find the general solution to x- given that ye is a solution.…

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Q: Determine using induction all the positive integer values of n for n^3 > 2^n. Prove your answer…

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Q: Prove Boolean Equation:  XY+X(Y+Z)+Y(Y+Z) = Y+XZ

A: We shall solve this problem using the TRUTH TABLE as shown below.The truth table for the Left-hand…

Q: Investigate the mathematical properties of bounded summation when applied to infinite series or…

A: Bounded summation refers to the process of adding up the terms of a series or integrals within…

Q: Exercise 9 Evaluate [F.dr where F(x,y)=-yi-xy j and C is given by the circular are given in the…

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Q: 7) хат Эх де х Assume T(XIX)= Xw Get G' =-12 dG T(0) = 6 T(LE)=0 TCxio) = x t.

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Q: G.E. T = dx² B.C. - KaIT) = h, (T001 - 7)x=0) -kat dx X=0 - KOT =h₂(T/ - To 2) x=L

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Q: a. a continuous function with an absolute minimum of -3 at x = -2 and a local minimum of -1 at x =…

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Q: Identify the numeral on the left as Babylonian, Mayan, or Greek. Give the equivalent in the…

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Q: The equation 4(t) = 3500e042 gives the balance after t years of an initial investment of 3500…

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Q: The management of Gibraltar Brokerage Services anticipates a capital expenditure of $28,000 in 4…

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Q: If X=0.00003, X=0.00004, find the absolute error, relative error, and precentage error?

A: We have to find the absolute error, relative error and percentage error.Note: According to the…

Q: 10. In the contour plot below dark shades represent small values of the function and light shades…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find all subgroups of the group Z36 and draw the subgroup diagram for the subgroups.

A: Given group is We have to find all subgroups of the group And also we have to draw its subgroup…

Q: Misty runs out of gas 2 blocks from 3 gas stations. She is running late for a hair appointment that…

A: Misty has $85 and she wants to fill only her tank.To Find:The cheapest cost to fill Misty's tank.

Q: Prove that the column vectors of the matrix B = space of the matrix B. U 2 128 0 4 2 are dependent.…

A: The given matrix .The aim is to prove that the column vectors of  are dependent and describe the…

Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

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Q: Suppose your professor informs you that the course will be graded on a curve so that no matter how…

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Q: 5. What is the z-transform of the signal x(n) = (0.5)nu(n)? A. B. C. D. 1 1-0.52- 1 1-0.5z T;…

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Q: After a late night of math studying, you and your friends decide to go to your favorite tax-free…

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Q: 2. Ifp is T and q is F, find the truth values of these statements. The form~() represents the…

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Q: Using complex analysis, determine all values of z for which z + 2i| = |z - 4i|.

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Q: summation. How does it differ from regular summation?

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Q: Exercise 8 Evaluate [F.dr where F(x, y, z)=xi+ y j−5z k and C is given by r(t)= 2 cost i + 2sint…

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Q: (Exercise 1.26) a) Express (6) as a function of x = ¡(3) (use x as the variable) .help (formulas)…

A: To express:1)  as a function of 2)  as a function of Formula used:

Q: 12. x²y" - xy' + 2y =0; y1 = x cos(lnx), y2 = x sin(lnx)

A: The differential equation is as follows:..To Find:Verify that  are the solution of the given…

Q: 1. Write the rational number, 56.004545... (repeating decimal) in the form a/b where a, b are two…

A: The sum of infinite geometric series 1+r+r2+⋯=11−r.

Q: - Show that S¹ = {(x, y) = R²|x² + y² = 1} and D² = {(x, y) = R²|x² + y² ≤ 1} have the same…

A: To show that the unit circle and the closed unit disk  have the same cardinality, establish a…

Q: what is JJ. G(r)dA G=ax+by+cz, S= x²+y²+z²=1, y=0, Z=0

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Q: Find a general solution to the differential equation given below. Primes are derivatives with…

A: Given equation is of second order linear ordinary differential equation with constant…

Q: Problem 1: For the initial value problem * = x(1x), x(0) = xo, do the following: (a) find explicit…

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Q: 2πi 4. Let w = e, and let E = Q(w). (a) Verify that [E: Q] = 10. (b) Determine |Gal(E/Q)], the…

A: Given that: and To find:b) , the number of automorphisms of E that fix .c) The order of  in .d) The…

Q: Evaluate fF.dr where F(x,y,z)=zi+xj+yk and C is the helix (see figure) given by r(t)= cost i+sint…

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Q: You are given: i. Mætt = ßt², t≥0 ii. l = 1,000 iii. lx+10 = 400 Calculate 1,0003.

A: To calculate 1000β, we can use the information provided in the problem. We have three equations:i.…

Q: Learning Target 04 (Core): I can determine whether or not a given relation is a function, determine…

A: Given function is Here Domain is  and codomain is Now we have to find out image of all domain points…