Suppose the quantity demanded, q, of a product when the price is p dollars is given by the equation 1 1 p=182- 99, and the quantity supplied is given by the equation p = 19. Find the equilibrium price and quantity. Equilibrium quantity: Equilibrium price: items

Q: Find the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors ET, EM,…

A: ∫1418xdx=18·∫141xdx=182x1214=182x14=18· 2=36 Thus, the exact integral value is 36.   Let us…

Q: Solve the given linear system. X(t) = x = (-²)x+ (-₁) ²² 3 X' 2t -1 1 Submit Answer

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Q: If p> 1, evaluate the following: 1 1 1+ +- 2P 1 1 + 3P 1 2P 3P 3⁰ + - 1 +.. ... 4P 1 +.. 4⁰

A: Answer

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A: Given that fx=3+10x-9x2 . To illustrate the values of b such that average value of fx on interval 0,…

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Q: Estimate the area under the graph of f(x) = 36 - 2² over the interval [-5, 4] using eight…

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Q: Let A be an m x n matrix. Show that if A has linearly independent column vectors, then N(A) = {0}.

A: The given problem is to show that if the matrix A m*n has a linearly independent column vectors then…

Q: C. Time Differentiation. Determine the Laplace Transform of y(t) given all the initial conditions…

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Q: Find the maximum for the profit function, P = 2x + 5y subject to the following constraints. 2x + y ≤…

A: Given that: The maximum profit function is P=2x+5y. Constraints are: 2x+y≤80x+2y≤80x≥0y≥0. Maximum…

Q: 2. Find the general solution of x' = (³) 4 3 -2 X.

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Q: I apologize, for part 4 (c) I typed (iv) incorrectly, there is a "prime" missing. Please correct the…

A: (iv) Show that H∧H' entails H'.

Q: a) Let R be a ring with identity and let a,b ∈ R be invertible. Prove that ab is also invertible.

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Q: 1) Is {(1, 0,3), (1, 4, -2), (-8, 12, -4), (1, 37, 17)} a linearly independent list?

A: We check given set of vectors is linearly independent or not.

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Q: Find the volume of the given solid. Enclosed by the paraboloid z = x² + y2 + 1 and the planes x = 0,…

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Q: edia of nl D to an els gaixixcos biguiz ayd dhe ofereb bas ellexitan This question concerns the…

A: This question is about series.

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Q: 11) Max Z = 4x1 + 3x2 Subject to: 6x1 + 2x2 0 Determine the sensitivity range for each constraint.…

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Q: y' = ytan x + ex COS X I y(0) = 1

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Q: Farmer Jim plants apple trees in a square pattern. To protect the apple trees against wind, he…

A: The problem can be simply solved by observing patterns of the red and green dots.

Q: (d) Is the matrix [2]12 [112] [-112 [2]12 a unit in the ring M2 (Z12)? Justify your answer.

A: (d)

Q: Approximating the Volume of a Solid Approximate the volume of the solid lying between the paraboloid…

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Q: D. Convolution Property of Laplace. Determine the y(t) of the following equations. 9) y(t) = t*t

A: We know,      L [ f(t)*g(t) ] = F(s)G(s)    where, F(s) = L{f(t)} ,                G(s) = L{g(t)}

Q: 3. For the following systems with distinct real eigenvalues, find the general solutions: (a) x' = 4x…

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Q: Can someone help me with this please?

A: ∫Cf(x,y)ds=∫Cf(x,y)dxdt2+dydt2 dt,in parametric form

Q: Find the matrix A' for T relative to the basis B'. T: R² A' = R², T(x, y) = (-6x + y, 6x - y), B' =…

A: Given values to find matrix A' can be, Tx,y=-6x+y,6x-y, B'=1,-1,-1,5

Q: 5 (33-8)+10-2 8(80÷8x5)x3 6(12+4+2)-5-

A: 5+33-8+10÷2=5+(27-8)+5=5+19+5=29

Q: Determine: a) Mean b) Median c) Mode d) Midrange The reported high temperatures (in degrees…

A: Here we are given temperature data as 62, 72, 66, 79, 83, 61, 62, 85, 72, 64, 74, 71, 42, 38, 91,…

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Q: The matrix (- has eigenvalues 26 and -26, and corresponding eigenvectors A= = and 10 -24 -24 -10…

A: Eigenvalue: A number λ is said to be an eigenvalue of the matrix A if there exists a non-zero vector…

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Q: A. Laplace Transform. Determine the Laplace Transform of the following equations. 1) cosh(5t) –…

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Q: Question M = (M,d) and Y = (Y,d") denote metric spaces. Let f: Z → R be a map and Y = f(Z), where…

A: Y is not complete. One way to see this is to consider a Cauchy sequence in Y that does not converge…

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Q: 5 X = -5 Need Help? 5 (b) Classify the function as a polynomial function, a rational function, or a…

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Q: Find the orthogonal complement St, and find the direct sum S St. S = span 0 1 0 S = span 1 0 6 (a)…

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Q: Question 4 too please.

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Q: Consider the linear subspaces 4000)--{0} W Lin V = Lin Mark only correct answers. □ The skew…

A: We are given the linear spaces V=Lin1121, 1212, 1122, and W=Lin1312. Here, we need to find the skew…