Q10: Given that A. determine the value of a12 + a21 -

Q: Calculate the middle rectangle approximation of , Vxdx using five subintervals. O M5 = 0.624 M5 =…

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Q: Exercise 9 Solve the following optimal control problem min J(u) = 8.t. dr dt dra -I +u dt (0) = 2,…

A: note : As per our company guidelines we are supposed to answer ?️only one complete question. Kindly…

Q: Consider the double integral xy I dA x2 + y? R. where R is the region of the XY plane, given in the…

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Q: 2. A certain ice cream store has 31 flavours of ice cream available. In how many ways can we order a…

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Q: You have $2,500 on a credit card that charges a 14% interest rate. If you want to pay off the credit…

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Q: use two and three Points of Gaussian Guadrature xp = 1 %3D

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Q: Producing a vector vk= xk, xk+1, xk+2 and matrices A=PDP^-1, (vk+1=Avk), solve the linear recurrence…

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Q: Let A„x" n=1 be the Taylor series about x = 0 of the algebraic function 1- VI- 4x f (x) = 2 Show…

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Q: Suppose that a power series f(x) = L a„x" n=0 has the radius of convergence p > 0 and that L.- anp"…

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Q: Completed this t:able of percemtage nterest rates. Annual rate Sbr monthly rate Quarterly rate…

A: To complete the given table :-

Q: Let A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation…

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Q: 4. (i) Consider the 3 x 3 permutation matrix 0 1 0 P = |0 0 0 1 1 0 0 Find all 3 x 3 matrices A such…

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Q: 1 B = -2 -2 ? Why? -1 5. 327 3. :-

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Q: Critic points of an equation problem: Consider the equation f(x, y) = -x* - y3 – 4xy – 6x – y In the…

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Q: 4. Find the centroid of the region bounded by graphs of y = 4x – x², y = 2, and r = 0.

A: As per guidelines we experts are allowed to solve one problem at a time. Please reupload the fifth…

Q: 64 Evaluate dydxdz Jo Jo

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Q: Given: surface G : 9x^2 - 4z^2 = 9y (a) Give the equation of the trace of G on each coordinate plane…

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Q: * For the following data (2,2,4,6,8,10,12) 7 12 4 6.29 10 6. Мean equal Median equal Mode equal…

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Q: 1 2. Given the matrix A = -2 (a) Use the power series definition of the matrix exponential to…

A: Given a 2×2 matrix A = 100-2 . We have to solve two sub-parts :                    (a) Use the power…

Q: Advanced Math A company estimates that the production cost function of x product is giving the…

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Q: 4. A lumber company owns 2,100,000 trees in the Adirondacks. They intend to harvest 6% of their…

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Q: Ql: Given that A = [3 -3 -5] and B = | 5,what is the matrix A - BT? 352

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Q: et T: R³ → R³ be defined by T(x, y, z) = (x + y,x – y – 2,x + z).

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Q: For any positive integer n show that 1 n + 1 holds for any f e C'[0, 1] satisfying f(0) = 0. Verify…

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Q: 1) Find the volume of the solid that lies between the paraboloid z = 2x2 + 2y and the plane z = 8.

A: The main objective is to find the volume of solid.     As per guidelines I am allowed to solve only…

Q: Let p be a prime such that p = 1 (mod 4). Prove that -lF, is a square in Fp.

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Q: Consider the vector v = ( 5 1 -3) in R3. v belongs to Span{(( 2 -1 0), (1 2 -3)}. Select one: O True…

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Q: d.x = -2x + 5Y dt dy -2.x + 4y dt 5 cost X = \ sin t et 3 cost –

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Q: 11. Determine three positive numbers whose sum is 21, so that your product is the maximum possible…

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Q: Write the objective function for each situation. 1. Your color television uses 0.2 kwh of energy per…

A: To write the objective function for the following situations Your color television uses 0.2 kWh of…

Q: Let n = pq where p and q are two distinct primes and consider Zn. Further, let [a] E Zn be an…

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Q: Problem 3. Calculate the continued fraction expansion of v12. Use it to find the smallest positive…

A: We provide the detailed solution typeset in the next step. Basic theorems on continued fractions…

Q: Evaluate F. dS, S where F(x, y, z) = (3xz – Vy? + 2?, sin(x – 2), e" - z²) and S is the surface…

A: Since S is the boundary of closed region in space. So we apply the Gauss Divergence Theorem.

Q: '2x2 + 1, x 1 For parts a-c, compute the limits algebraically. Show all work clearly, using proper…

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Q: 7. Given a signal as the column vector x = (3.0 0.5 2.0 7.0)". The pyramid algorithm (for Haar…

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Q: Domestic corporation X owns all of the stock of domestic corporation Y, which, in turn, owns all of…

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Q: Q3: Given that what is (A + B)?

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Q: The solid E is within the cylinder x² + y = 1 which from above is closed the sphere x + y² + z² = 4.…

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Q: 3) Find the volume of the solid under the plane z = x- y and above the region bounded by X = tan y,…

A: If is a bounded rectangle or simple region in the plane defined by and also by  andis a nonnegative…

Q: 4) The curver= V1 + sin20,

A: Solution :-

Q: Q3: A. By power series, prove that: COSX = dx -sinx

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Q: 2.2 Let f be a function that admits continuous second partial derivatives, for which it is known…

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Q: How much should you invest at 3.2% simple interest in order to earn $90 interest in 4 months?

A: The formula is I=Prt , Where I=interest earned, P=principal, r=rate of interest, t=time. Here, I=$90…

Q: Find the inverse to 2 by using the Euclid's algorithm  2 mod

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Q: Can you explain number 2? How did you know that is the formula to use?

A: Let V be a vector space over R  Define a function ·:V x V→ℝ Then the function is said to be inner…

Q: Write the formal negation of the following statement: V r E D, x ¢ E.

A: Given: A statement, ∀x∈D, x∉E To write: Negative of given statement.

Q: (b) Find the matrix representation [J]Bn+1,Bn• ght as Mon onas hUiver Unn mersi niversi ash ve

A: The given question is related with linear transformation. Let n ≥ 1 be an integer , and let J : Pn →…

Q: 1. An instrument store gives a 10% discount to all students off the original cost of an instrument.…

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Q: 8. Below is a region Rxy, in the XY plane: y= 2r +4 y = 4- y- 2r -1 Consider the change of variable…

A: The given integral is I=∫∫Rxyxey-2xx+ydAxyconsidering the given change of variables I.e. u=x+y. ,v =…

Q: Consider the vectors v, = (1 0) and v, = (0 1) in R,. the vector ( 0.4 3.7) can be written as a…

A: Linear combination