7. Nila drew a 15-sided convex polygon. One of the interior angles measures 155 degrees. Is it a regular polygon? Answer Step-by-Steps.

Q: Three regions are defined in the figure.

A: Given that three regions are defined in the figure:                              . To find the…

Q: Three commuter trains and three express buses depart from city A to City B in the morning, and five…

A: For the trip from city A to city B, there are three trains and three buses, so in total 3+3, i.e., 6…

Q: Construct the sets Cn and Coo for the ternary code C = {02, 12, 120, 20, 21}. Do the same for C =…

A: (1)  Constructing sets Cn  and   C∞  for the set  C = 02, 12, 120, 20, 21               According to…

Q: Find two solutions to equation: w2 = ( -1 -i )

A: let , w2=-1-i⇒w=-1-i12          .......in general w=x+iy12 so x=-1 and y=-1  Now polar form of w is…

Q: y(x) = y = 2y + x² + 7 Give the largest interval over which the general solution is defined. (Think…

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Q: Problem 6: (4.9) Show that for any integer n ≥ 1, we have n k=1 1 k(k+1) n n+ 1

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Q: Drug C and Drug R are two different brands of a drug used to treat a disorder. a. Use the fact that…

A: A linear equation is the representation of the equation of the line. Linear equation in which the…

Q: 3. Find the unique sequence (an) of real numbers with Σk-0 akan-k = 1 for all n ≥ 0.

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Q: Y2(x x²y" - xy' + 10y = 0; y₁ = x cos(3 In(x)) to find a secona

A:

Q: Suppose that v = (v1, v2, ..., vn) and ū = (u₁, U2, ..., Un) are a pair of n-dimensional vectors.…

A: We have to define formally the predicate AlmostTheSame(v→,u→) for n dimensional vectors v→ and u→.

Q: For the system (M2(R), *), demonstrate or explain why: i. (M2(R), *) is closed ii. (M2(R), *) is…

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Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 20y = 100x² - 65xex…

A:

Q: b. Identify the systems from task (2a) that demonstrate closure, i.e., the result of the operation…

A: b) in the answer provided, we see the systems S1 and S3 satisfy the closure property.      For…

Q: Find the Midpoint M of the line segment joining the points Q=(-6,5) and D=(0,-3)

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Q: A straight canal is 4\frac{1|2} miles from a place and the shortest route from this place to the…

A: Let us suppose that the given place is at the origin i.e., at the point O0,0. The pictorial…

Q: Solve the following differential equation by using integrating factors. xy=9y-8x²

A: xy' =9y-8x2A first order linear ODE has the form of y'x+pxy=qxRewrite in the form of a first order…

Q: Find the following. (Round your answers to the nearest cent.) Finance Number of Charge Payments…

A: a)Unearned finance charge = (m * (m+1)) / (n * (n+1)) * F = (6 * (6+1)) / (12 * (12+1)) * $9.20 = (6…

Q: 4. Determine when the following pairs of functions are linearly independent. (a) yı(t) = erit; y(t)…

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Q: 6. Solve this Exact Diff. Equation: (3y² +10.xy2)dx+(6xy-2+10x²y)dy=0

A:

Q: 5. If tp and to are the times required for a radioactive material to decay to 1/p and 1/4 times its…

A: Solution:-

Q: Find the locus of the point of intersection of the tangents to the circle x^2+y^2=a^3 at points…

A: Let's start by finding the equation of the circle x^2 + y^2 = a^3. We can see that this is the…

Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

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Q: Let G be a group and let SG be the set of all permutations on G. For each g € G, define kg : G → G…

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Q: v(z) = f(f(x)). Find .' (1) (2) =.' (3) 4:0 -1/2 DNE -1/2 The graph of g(z) is blue

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Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 400 + 1000t 180t2, where t is…

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Q: You are given that the function f(x) = Select one: OA -2 О в. -10 О с 2 OD S OE -2/9 2(x + 3) x²+x-2…

A:

Q: • Exercise 2.1.18. Let {n} be a sequence, and let a be a real number. Suppose that for every…

A: 2.1.18 asked and answered.

Q: Use matrix inversion to solve the given system of linear equations. (You previously solved this…

A:

Q: . If tp and to are the times required for a radioactive material to decay to 1/p and 1/4 times its…

A: Given that tp and tq are the times required for a radioactive material to decay to 1p and 1q times…

Q: Find the radius of the smallest circle which touches the straight line 3x - y = 6 at ( and also…

A: The equation of the circle touching the line 3x-y-6=0 at (1,-3) is given by(x-1)2+(y+3)2+λ(3x-y-6)=0…

Q: Let Q denote the field of rational numbers, R the field of real numbers, and C the field of complex…

A:

Q: Problem 1: Let n > 1 be an integer with the property that whenever n divides the product ab of two…

A: Given: Whenever integer n divides the product ab of two positive integers a, b then n divides a or n…

Q: - Consider the ODE y() (t)- y(t) = 0. (a) What's one solution of this ODE? (b) ISuppose n is even.…

A:

Q: Virginia Osterman bought a television set on a 12-month installment plan that included a $70.20…

A: Interest refund is defined as the percentage of the interest collected on the loans which refunded…

Q: 3x + 2y ≤ 6 3x - 2y ≥ 6 -y≥ 2

A: Given the inequality; 3x+2y≤6                13x-2y≥6                2       -y≥2                3…

Q: Problem #5: Let A and B be nxn matrices. Which of the following statements are always true? (i) If…

A: detA=detA Let A=1001, B=-100-1 ∴detA=detBA-B=2002detA-B=2≠0 Hence the statement is not always true

Q: Find the inverse of AB if A-1 and = -5 -1 5 -1 1

A: we need to find (AB)-1 from the given data.

Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 5 sin(2x) y(x) =

A:

Q: 1. Consider the IVP y' = 0.5-t+2y, y(0) = 1. Use Euler's method with h = 0.1 to find wo, w₁, W₂.

A:

Q: Section 1.9 Problem 7. Mark each statement True or False, and justify your answer. (T/F) A linear…

A:

Q: Show the derivation of temperature conversion using the linear interpolation method.

A: Sol:- The linear interpolation method is a way to convert temperatures between two different scales.…

Q: 5) Prove that, for any set X, there does not exist a surjective (onto) mapping from X to P (X).…

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Q: A conservative vector field is given by: F = (-z - 1)i + (-2y + 2)j + (-x - 1)k  What 2 options…

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Q: For what value(s) of b is the following set of vectors linearly independent? {}

A: Note: (i)The rank of the matrix in the row echelon form is equal to the number of all non-zero rows.…

Q: 4-1) describe the possible echelon forms of the matrix. (a) A is a 3x3 matrix with linearly…

A: Given: In this question, the given details are, 4-1) Here, to describe the possible echelon forms of…

Q: Determine the Galois group of x2 -10x + 21 over Q.

A: To determine the Galois group of x2 - 10x + 21 over Q, we need to find the splitting field of the…

Q: 1 -3 2 -4 9 -1 5 -4 12 2 2. Let A = -3 a) Find a basis for Col A b) Find a basis for Nul A

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Q: b~: d bad b d bed d~:: b~ b=d d :: b~ b=d

A:

Q: with an arrow the direction in which t increases. 7. r(t) = (sin t, t) 9. r(t) = (t, 2 t, 2t) 11.…

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Q: A variable circle which always touches the line x+y-2=0 at (1,1) cuts the circle…

A: Any circle which touches the line x+y-2=0 at (1,1) will be of the form…