Minimize z=5y1+2y2 subject to3y1+y2≥30y1+y2≥26y1+2y2≥37y1≥0,y2≥0If no solutions exist enter DNE in all answerboxes.

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Q: 6.) Prove the following identities involving the hyperbolic trigonometric functions. cosh (21+22) =…

A: Please see the attachment Explanation:

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A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:

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Q: 4. (a) Suppose that A and B are invertible matrices and c is a scalar. Solve the following equation…

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Q: 1. For xn given by the following formulas, establish either the convergence or the divergence of the…

A: Since you have uploaded multiple parts questions according to our guidelines we have solved first…

Q: Consider the differential equation dy 319 da == 8k y 4k (3)(2²+(-)-1)- 3 - ky) (2y² + (1 -+- 1 - 8k)…

A: For the given value of K = 4, the differential equation.To find the critical values and classify…

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A: a=1, b=-2, c=5Explanation:Step 1: Step 2: Step 3: Step 4:

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A: I have provided a detailed answer in the Explanation section.Explanation:This is a fascinating…

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Q: (a) sec (3+√√x) √x dx

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Q: Find a recurrence relation satisfied by the sequence an = 3n-2n where n = Z+ a) The recurrence…

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Q: 7. Given f(x)=√√x² + 3, determine p(x), q(x), and r(x) such that f(x) = p(q(r(x))).

A: Given that .We have to determine  and  such that .

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Q: A function g: Q→ Q is defined by g(r) = 4r + 1 for each r = Q. (a) Determine g(Z) and g(E), where E…

A: Solution: 1(a) Given Function  Now Since Where E is set of all even integers

Q: A particle moves along a line so that its velocity at time t, for 4 t ≤ 8, is given by πι 4 sin v(t)…

A: Therefore, the particle is at rest at t=6So, the option-2 is the right answer. Explanation:

Q: Twelve people serve on a board and are considering three alternatives: A, B, and C. Here are the…

A: Twelve people serve on the board and considering three alternatives: A, B, and C.The table lists the…

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A: Q7: option c- third differences Q8: option a- 0Explanation: 7. Given the function y=(x−1)2(x+1), to…

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A: General solution of given differential equation is…

Q: (A Calculator is allowed for this question) Let f(x) = cos(x²). (a) Find the first four terms and…

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Q: B Homework Problems (1) Write down the truth table for the statement (P ⇒ (QVR)) (Q ^ (R ¬P)). (2)…

A: image uploadedExplanation:Step 1: Step 2: Step 3: Step 4:

Q: maximize 2x1 + 3x2 +53 +24 subject to 1+2+223 +4≤2, 3x2+3x3 +34 6, 3x1+2x2+2x3 + x ≤7, 1, 2, 3, 4≥0

A: Objective function:Maximize: Subjected to constraints:

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Q: If the characteristic equation of A is (lambda-6)(lambda+6)+20 = 0, what are the eigenvalues of A?…

A: Largest eigen value : 4 Smallest eigen value: -4Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Rewrite the following iterated integral in the order dy dx dz: y/2 LL L² f(x, y, z) d z dy Jo dx.

A: Given integration .We have to change the order of integration to .

Q: Example 3.5 Consider Ꮖ ; -2 -1 0 1 2 3 Yi 1 -1 -4 -0.6 Approximate the data using least squares…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

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Q: Suppose that c¹, c² are both 3 × 1 matrices. Let A = [c¹c²] be augmented matrix with c¹ and c² and…

A: The answers to the given questions are briefly given below , kindly please check.Explanation:

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Q: How many positive integers n satisfy σ(n) = 54?

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Q: can you please provide explanations

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Q: Let Bt be 2-dimensional Brownian motion and put D₁ = {x R²; |x| 0. Compute Po [B₁ € D₂]. E

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A: 2. Given, a linear programming problem:Max Subject toIt is required to Apply the first phase of the…