Set E contains all positive even numbers less than 10. How many subsets does E have?

Q: Say whether the following function is injective, surjective, bijective, or none of the above (note:…

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Q: Determines the equation, in factorised form, of the 4th degree function family that has the zeros…

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Q: Given the following vectors, A = 3ax + ay + 10az B = -12a₂ Determine A + B (a₁ + ab).

A: Concept/Formulas to be used: Consider a vector v→=x i^+y j^+z k^. The formula to calculate the…

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Q: 1. [(3x+4y)ds_C:7(t) = (2t,t), 0≤t≤1

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Q: Consider the partial differential equation xxxx +2uxxyy + yyyy = 0. Determine the order of this…

A: As per the policy, only the first question will be solved, please post multiple questions…

Q: the given Cauchy-Euler differential equation: x¹y"" - 6x³y"" +33x²y"-105xy' +169y=0. You can use e…

A: Let the given differential equation is solving by Euler Cauchy method

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Q: 2. Suppose for every n ≥ 1 that {f} are twice differentiable functions on [a, b] such that both {f}…

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Q: f(x) = e the zeros to factor f(x) over the real numbers. 4. x45x³ + 3x² + 19x - 30 slo

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Q: ez dV where E is enclosed by the paraboloid z = 6 + x² + y², the cylinder x² + y² = 1, and the xy…

A: Given: Paraboloid: z=6+x2+y2 Cylinder: x2+y2=1 To find: I=∫∫∫E ezdV

Q: Solve ∆ABC.   A = 36º, a = 8, b = 5

A: Using the law of sines, it can be written that: asinA=bsinB=csinC. We know that the sum of the…

Q: 2. Solve the (a) x" + 6x' + 10x = 0 (c) x" + 25x = 0. (e) x + 2x" + x = 0 (b) x'" - 4x" + 13x' = 0.…

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Q: A circuit has four resistors and two voltage sources. The resistors are R1= 0.001, R₂ = 3.33, R3 =…

A: Rewrite the given system of equations as an augmented matrix. 0.0133.3300.013041-1-122120 (a) The…

Q: Let f: X Y be a proper, continuous map, and assume Y is a compactly generated, Hausdorff space. Show…

A: Proper: Let X and Y be two topological spaces. A map f:X→Y is proper if the preimage under f of any…

Q: 10. Compute the area of the region bounded by circles x² + y² = 2x and x² + y² = 2y.

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Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: (a) On a remote island in the pacific, a new viral infection is spreading among a non-indigenous…

A: The two given differential equations are dIdt=k0I and dIdt=k1I with initial conditions I0=1,It0=I0 .…

Q: Prove that if A is invertible, then 1 det (4) det (4-¹) = -

A: We have given that a square matrix A is invertible. To show that detA-1=1detA. We know that an…

Q: Suppose f and g are right inverses of each other. Prove that f is bijective.

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Q: 13. Determine whether the alternating series is absolutely converg ally convergent, or divergent.…

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Q: A candle was 12 inches when it was first lit, and it burns at a constant rate of 0.5 in/hr. a) Find…

A: Here candel is burning at a constant rate. So the function will be a linear graph.

Q: An elevator has a placard stating that the maximum capacity is 2052 lb-12 passengers. So, 12 adult…

A: The objective is to find the probability that the elevator is overloaded.

Q: 3. Let g (0, ∞) → R and for every n ≥ 1, fn: (0, ∞) → R. For every 0 < t < T < ∞, assume that g €…

A: Kindly refer to Step 2 for the solution.

Q: 1. Determine whether the following sequences are convergent. If convergent, find the limit. a. b. n²…

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Q: When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume…

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Q: Construct a matrix with ( 1, 0, 1) and ( 1, 2, 0) as a basis for its row space and itscolumn space.…

A: Note: It is given that the vectors 1, 0, 1 and 1, 2, 0 are contained in the basis of the row space…

Q: A contract is let for $10000. It is to be completed in 4 weeks’ time, subject to a penalty of $240…

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Q: Given triangle RST, where angle S=90°, find sin R, cos R, tan R, sin T, cos T, and tanT if r=8 and…

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Q: Dolce & Gabbana went jogging in a track oval. They started from the starting line at the same time.…

A: We have to find the Least common multiple of 5 and 4 to get the time in which they cross the…

Q: The following is a time series for the last 6 months of 2016 50        54          65       58…

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Q: 3.3. Consider the system - Use h method. u₁ = 4u₁ + u₂, u₁(0) = 1, U₂ = U₁ - 4U₂, U₂(0) = -1. 0.5 to…

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Q: 6. Graph Theory (a) (b) Fill in the adjacency matrix associated with the graph below (Use the same…

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Q: Find the optimum of f(x) = 2.2x-1.7x² + x³ -0.25x Perform: (Round-off all computed values to 4…

A: We know the golden ratio is 0.618.  We need to find the value of d where d = 0.618b-a For our first…

Q: 10. A trough with length of 15 m is filled with water. The ends of the trough have a parabolic shape…

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Q: (at distance R from the center of the earth; M denotes the mass of the earth). 6. The approximation…

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Q: 4) Consider the following election with 7 voters and 4 candidates. Determine the winner using the…

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Q: Solve the differential equation by variation of parameters. 2y" - 4y + 4y = ex sec x ex(c₁cos(x) +…

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Q: Find the critical points of f(x) = 2 cos (3x) + 3 cos (2x) in [-3,-1]. (Give your answer in the form…

A: Given That : A function fx=2cos3x+3cos2x in -3π , -π. To Find : Critical points .

Q: 7. Let f(x,y)=³-3z + 3ry². (a) Verify that the following are critical points of f: (0, 1), (0.-1),…

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Q: Find the solution x(t) of the initial value problem x'=Ax, A [4 1 -1 2, x(0)=[3 2]

A: Given That : x'=Ax , A=41-12 ,x0=32. To Find : Solution of xt of initial value problem.

Q: List all the equilibrium solution in the direction field shown above in the chart.

A: Given: Direction field of a differential equation,                                     To find: (f)…

Q: Using Simpson’s Rule with n=4 subintervals, evaluate the integral 1∫0exdx. Round the answer to 3…

A: The given integral ∫01exdx. We have to find the value of the integral using Simpson’s Rule with n=4…

Q: Prove Akv2v. Where is an eigenvalue of the matrix A. (Hint: use induction with k-1

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Q: 2.) Find the first two months of the amortization schedule for a fixed-rate mortgage if the loan…

A: Given: The loan amount is $350,000. The interest rate i.e., APR is 3.0%. The time for the repayment…

Q: Surface area using an explicit description Find the area ofthe following surfaces using an explicit…

A: The paraboloid z=2x2+y2, for 0≤z≤8. We have to find the area of the given surface.

Q: For the following, write an equivalent numeral in the Hindu-Arabic system. MCMLXII

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Q: Liola drives 19 km up a hill that is at a grade of 15º. What horizontal distance, to the nearest…

A: Introduction: The antenna of the station is used to calculate the horizontal distance to the…