write the equation as two ordinary differentials for the two variables

Q: Find the inverse of the matrix B = B-1 - absin (a) 131 188 43 151 57 151 79 151 f di 8 40 151 151 21…

A: Solution:  To find inverse of the given matrix B And use the desmos matrix calculator with all…

Q: Definition 1. The unit circle is the circle centered at the origin and of radius one. Problem 1.…

A: We have to sketch a unit circle which is subdivided in 8 equal arcs and also mention the distance of…

Q: Solve the system of equations. 5x-2y+z=11 x+y = 3 ... Select the correct choice below and, if…

A: The given system of equations, 5x-2y+z=11x+y=3 We have to find the solution of this system.

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Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

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Q: Show that the DE (7x+44) dx + (4x+3y)dy=0 is exact, then find al Hs integral fundion & btts general…

A: Given: Differential equation is 7x+4ydx+4x+3ydy=0 Show that: The differential equation is exact then…

Q: Suppose f(): R² → R² and g(): R³ → R² are given by: ƒ = :)-(²) and ()-(7) = g 3y² + Find (f o g)'(x)…

A: Similar calculations can perform if we change y2 to y1 in the 2nd component where only y is written.…

Q: a) Find the area of the region described. The region outside cardioid r= 2-2 cos B and inside circle…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: In Z[i], show that 3 is irreducible but 2 and 5 are not.

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Q: Prove that x4 + 15x3 + 7 is irreducible over Q

A: In this question,  we have to prove that  x4 + 15x3 + 7 is irreducible over Q.

Q: Suppose a certain appliance store purchases the following items. Calculate the extended total after…

A: We will calculate the total for individual quantity and than add to the total as follows.

Q: A company makes three types of candy and packages them in three assortments. Assortment I contains 4…

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Q: dy 2y(1-x)+x(1+y)==0 dx

A: We have to solve given Questions.

Q: Algebra Consider the set (a, b) x (c, d) in R² , where (a, b)x(c, d) := {(x1, x2) E R² : a < x₁ < b,…

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Q: In Z3[x], show that the distinct polynomials x4 + x and x2 + xdeterminethe same function from Z3 to…

A: We know that ℤ3 is a field i.e., a commutative ring with unity in which every non-zero element has a…

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Q: Define the set G= ={[ 0]|PER} cos sin 0 - sin cos (a) It is a fact that G is a group. You do not…

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Q: Find the change of basis matrix from B₁ to B₂. B₁ = OLD 0 -8 eBook 4 B₂ = 2 -3 -1 3 7 4 (HH) -2 2 -8

A: The given bases  B1 and  B2  are ,   B1 =  542 ,    8   0-8  , -3   3   2    and             B2 =…

Q: Calculus Solve e(x-y) SS₁ R (x + y)2 dĄ where R is the rectangle bounded by y = x, y=x+5, y = 2 x, y…

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Q: Prove that 8x3 - 6x - 1 is irreducible over Q.

A: Consider the given polynomial, 8x3-6x-1 Now, suppose is reducible over Q. It can be otherwise be…

Q: Show that the DE (7x + 4y)dx + (4x + 3y)dy = 0 is exact, then find (a) its integral function, 0; 30…

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Q: Enter your answers in the text boxes. Round to four decimal places where applicable.…

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Q: For each of the following vector fields F, decide whether it is conservative or not by computing…

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Q: If g(x) is irreducible over GF( p) and g(x) divides x pn - x, prove thatdeg g(x) divides n.

A: Suppose xpn-x∈GFPx. then observe that GFpn* is a cyclic group of order pn-1. for any x∈GFpn*, it can…

Q: Prove that a nonempty subset U of a vector space Vover a field F is a subspace of V if, for every u…

A: Given : V be a vector Space            : u+u'∈U , au∈U To Prove : U is Subspace of V(F)

Q: Maximize subject to: with z=7x₁ + 3x2 + 8x3 x₁ + x2 + x3 ≤6 x₁ + x₂ ≤3 7x₁ + x2 + 2x3 ≤ 15 x₁20,…

A: Given primal problem is Maximize Z=7x1+3x2+8x3 subjected to  x1+x2+x3≤6x1+x2…

Q: Let P₁, P2,... be a sequence obtained by an enumeration of the set Qn [0, 1]. Find the set of all…

A: Given: Let p1,p2,p3... be the sequence obtained by enumeration of a set ℚ∩0,1. To find: Set of all…

Q: Examples. Justify your answers briefly. (a) Let A be the family of functions defined everywhere on R…

A: Given: A=f defined on R; limx→∞f(x) converges  To show : A is an algebra of functions .

Q: Match operations on sets with their definitions. ✓ AnB AUB A-B - A A. U-A B. {x/x EA V x € B} C.…

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Q: A student begins her drive to school by traveling 14 miles in a direction of 45° north of east.…

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Q: The NE dy d = (acost+b)y_y²³ occurs in the study of the stability of fluid flow. Here a and b are…

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Q: D

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Q: Solve the following linear programming problem. Complete parts (a) through Minimize (d). subject to…

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Q: A store has a $9000 monthly advertising budget. Newspaper ads cost $600 each with a limit of 30 per…

A: Cost of Newspaper Ad =$600 People covered = 4000   Cost of Radio ad = $30 People covered =3000…

Q: Using the given data set, determine the interpolated value for x = 33 Use Lagrange Method X y 5 -36…

A: x 5 8 11 14 17 20 24 27 30 33 y -36 -49 -96 44 45 37 -26 -46 62 11 Lagrange's Interpolating…

Q: 1-2 Classify each function as a power function, root function, polynomial (state its degree),…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

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Q: 2. Let G = GL(2, R). Prove that the following two subsets of GL(2, R) are subgroups of GL(2, R). (a)…

A: 2a Given set is A=a00d:a&gt;0 and d&gt;0. We have prove that set A is the subgroup of GL2,R. For the…

Q: In parts (a)-(d), find the values of the sums in terms of n. In par n a. Σκ= k=1 b. C. d. e. n k=1 Σ…

A: (a)∑k=1nk=n(n+1)2(b)∑k=1nkn2=1n2 ∑k=1nk1=n(n+1)2n2=n+12n

Q: Statement I: If the annual simple interest r then the accumulated value at any time t of interest…

A: Here, the three statements are given and we have tell whether the given statements are correct or…

Q: Find the velocity (t) and speed ||t)|| of a particle whose motion is described by x = 31² - 18t +…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of $30 on each tractor and…

A: Solution: Formulate a linear programming model for this problem. Use the graphical method to solve…

Q: A company is considering two insurance plans with coverage and premiums shown in the table. (For…

A: Let A has x units B has y units  10000x + 15000y &gt;= 300000Divide equation by 50002x + 3y &gt;= 60…

Q: et V and W be vector spaces over a field F, and assume that T: V→ W is linear and invertible. Then…

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Q: When asked the question "what is time?", the fourth-century Christian philosopher St. Augustine…

A: ¬p→q : If you don't ask me, I know. p→¬q : If you ask me, I don't know. (¬p→q)∧(p→¬q) : If you don't…

Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

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Q: Show that the DE (70+44) dx + (4x+3y)dy=0 is exact, then find al Hs integral function & = bitts…

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Q: 1: Evaluate the following limits. x³y - x lim (x,y) →(0,0) x² + y² x³ a) b) lim (x,y) →(4,1) c) 4x²y…

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Q: Given Y = c1eλ1tx1 + c2eλ2tx2 +· · ·+cneλntxn is the solution to the initial value problem: Y = AY,…

A: Given that Y=c1eλ1tx1+c2eλ2tx2+.....+cneλntxn is the solution of the initial value problem Y'=AY,…

Q: Find the general solution of the following differential equation. Primes denote derivatives with…

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