(a) If b² – 4ac 0 and y, em solves ay" + by + cy - 0, use reduction of order to get a linearly independent solution. [You may assume linear independence]

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Q: QUESTION 7 1. (C > D) (L > M) 2. R (Cv L) 3. R /:Dv M

A: To Show-  1. C ⊃ D ∙ L ⊃ M2. R ⊃ C ∨ L3. R                   /∴ D ∨ M     Rules of Inference Used-…

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A: Natalie makes a downpayment of 15% of the total amount.

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Q: (c ) Find the S(sin q + cotq – e5q+1 + q5) dq 11 2x+5 (d)Using the method of Partial fractions find…

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

Q: 1. Suppose that A is an nxn non-zero, real matrix and 2 is a fixed real number. Let E ={x=R* : AT =…

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Q: If is a non-negative measüráble functic sa real number then Sa fx)dx = 1 Sf(x)dx E %3D

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Q: 3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2…

A: Karla get 5 shirts, 3 pairs of pants (i.e, total 6 paints), 2skirts and 3 pairs shoes

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Here we use basic form of Lagrange Multiplier.

Q: Let an increasing sequence of non-negative, measur-

A: we will prove it by using the fatous's lemma

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Q: You deposit $13,000 in an account that pays 5.5% interest compounded quarterly. A. Find the future…

A: We have to find the future value.

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Q: Hence or otherwise solve the equation x²y" – 4ry + 6y = In r². %3D

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A: It is given that Brent borrowed $7000 from his brother Dave. He will repay the borrowed money at the…

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A: From the given information, we can draw the figure as given below

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Q: Out4)= G3. List the set of vertices for the graph above: G4: List the set of edges for the graph…

A: Q

Q: G9. Draw a graph with 4 vertices each of degree 2.

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Q: EULER DIAGRAM. Determine if the following arguments are valid or invalid.   8. Some squirrels fly.…

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Q: ) Consider the power series * (-1)"(4x + 4)" yn +5 Find the center and radius of convergence R. If t…

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Q: rying %3D 2. Use the Binomial Theorem to expand the expression (3x + 2y) Show your work

A: The solution is given as

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A: We have the formula

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Q: O A. 2.01% B. - 5.94% O C. 4.06% O D. 14.06%

A: Given: Rate of interest=4% compounded quaterly.

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A: Introduction: A continuous random variable is a type of random variable that assumes every value…

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Q: The surface area of a sphere, initially zero, increases uniformly at 4 square inches pe second. Find…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…