The line graph below shows the number of times Maria drove her car each day of the week. How many times did Maria drive her car on day 4?

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A: A vector field F is said to be conservative if curl (F)=0 . The conservative field is characterised…

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A: Let p be a prime number and g be a positive integer. Then, g is a primitive root (mod p) if and…

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A: Here, y=ex2-x2 To determine, the x-value.

Q: Heather is taking out an amortized loan for $21,000 to buy a new car and is deciding between the…

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Q: 3. Let A = {u= (u₁, U2, U3): [0, 1] → R³ | u € C¹, u(0) = A, u(1) = B} and consider the holonomic…

A: We need to find such a function u→=(u1,u2,u3)∈A, such that we need to minimize the functional…

Q: 8. lim 9. lim x-1 x²-3x-10 x-5 ²-3x-4 10. lim - x-4x²5x+4

A: We have to find the limit if exist

Q: Show that the set {(1, 2, 1), (2, 1, 0), (1, -1, 2) for a basis for V3(R).

A: We have set of 3-tupples { (1,2,1),(2,1,0),(1,-1,2) }

Q: Current Unit Problems Section 4.1 1. Consider the given functions f and g: f(x) = Find each of the…

A: We are given                f(x) = 5/x                g(x) = 6/(x + 4)    (A) f o g(x) = f(g(x))…

Q: 1.1 Consider the function f(x)=x|x³|, the function may have the following properties: [1] the point…

A: The given function is: f(x)=x|x3|

Q: Consider the 2-player, zero-sum game "Rock, Paper, Scissors". Each player chooses one of 3…

A: We consider the 2-player, zero-sum game "Rock, Paper, Scissors". Each player chooses one of 3…

Q: 9.3.13 Prove Proposition 9.3.4. Let a'(G) be the size of a maximum matching in a graph G. Then x'(G)…

A: It is given that α'(G) be the size of a maximum matching in a graph G. Objective: To prove that…

Q: Problem 37. Find all eigenvectors of 2 (1²) € M₁xn (C).

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Q: A chili recipe calls for 12 ounces of finely diced onions and normally yields 2 gallons. If the…

A: Given - 12 ounces of finely diced onions yields 2 gallons.  To evaluate - Ounces of finely diced…

Q: 7 0 0 19) A = | 1 7 0 0 0 7 19)

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Q: Switch the order of integration in the following double integrals (Do not evaluate the integrals).…

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Q: Solve the overdetermined system below: x₁ + x₂ = 1 X₂ = 3 -x₁ + 2x₂ = -2

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Q: 2. The functions ₁(t) = is given by: erot, 2(t) = terot give a fundamental set of solutions to the…

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Q: 1² - 6x +8 z2 r²-7x + 10 Explain using and 8: 2. lim

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Q: Use spherical coordinates. Evaluate (8 - x² - y²) dv, where H is the solid hemisphere x² + y² + z² ≤…

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Q: Solve the polynomial congruence: x³ - 3x² +27= 0 (mod 225).

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Q: Find the missing side length. Assume that all intersecting sides meet at right angles. Be sure to…

A: The figure is given with its measurements. We have to find the length of the missing side.

Q: Evaluate the indicated limit or explain why it does not exists: x²y² lim (z,y) (0,0) 2x4+y¹

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Q: 1. Consider the 2-player, zero-sum game "Rock, Paper, Scissors". Each player chooses one of 3…

A: We have been given a situation of the 2-player, zero-sum game "Rock, Paper, Scissors". Each player…

Q: Let C be the curve which is the union of two line segments, the first going from (0,0) to (1, 1) and…

A: Our objective is given below:

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A: We have two vectors of C3(C)          (1,1,1)  and (1,a,a2)Where a is scalar.

Q: 1. Let y = 2x² - 12x + 5 (a) Does the graph open up or down? (b) For what value of x is y minimized?…

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Q: Find the solution to the following linear, homogeneous recurrence with constant coefficients: an=…

A: Finding characteristics equation and general solution:

Q: Superposition 1. Given the following basis vectors i) - 1 (0) + 1)) and |-i) √(1-1 (i) i)) a…

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Q: 5. a) What is the orthogonal projection ŷ, of y = (2) U = and the origin? -3 9 onto the line (L)…

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Q: (When S=1)Iterate towards a maximum value of the function C(x,y) using the Newton’s method  with…

A: First, let's express the given functions by substituting the value of S=9: A(x)=5cos9+2512x23π+x…

Q: 2.2 Show that M(u, v) = min(u, v), W(u,v)=max(u+v-1,0), and П(u, v) = uv are indeed copulas.

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Q: In Problems , classify the given partial differential equation as hyperbolic, parabolic, or…

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Q: C. Given a vector f(x, y) = x²y, where x = t³-t+1, y = 2-t². Find (1.1) (1.1) i. ii.

A: Given that f(x,y)=x2y. We need to find ∂∂xf(1,1) and ∂∂yf(1,1). Observe carefully that information…

Q: *Using the maxima and minima of the function, produce upper and lower estimates of the integral I =…

A: Integrals calculus Advance maths

Q: 1 -+--0--6) = Verify that the set = Find the orthogonal projection of y = 1 4 3 is orthogonal. onto…

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Q: is the IVP  ϕ(0) = ϕ′(0) = ϕ′′(0) = 0 doing anything here?

A: No, the given IVP is not doing anything here because there is no use of IVP in the variation of…

Q: An ellipse passes through the point (4,-1) and touches the line x+4y-10=0 Find its equation if its…

A: An ellipse passes through the point (4,-1) and touches the line x+4y-10=0

Q: 5. The following data give approximations to the integral = S 0 h N₁(h) = 1.570796, N₁ (1) = M = sin…

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Q: Use Taylor's Theorem to obtain an upper bound for the error of the approximation. Then calculate the…

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Q: Find the feasible region for the constraints and the corner points The unit is in hours. Find the…

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Q: Evaluate the indicated limit or explain why it does not exists: lim (p) (0,0) 2x + y² x²(y-1)² lim…

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Q: 5. (a) Give an example of a function f: R→ R that is discontinuous at 1,..., but is continuous at…

A: A function can be discontinuous at a single point, more than one point or infinite points. If a…

Q: The graph of the relation G is shown below. 1-3 -2 Give the domain and range of G. Write your…

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Q: A country's population is 2001 and 2012 are given below. Use this information and the exponential…

A: We have to given exponential model A=P(1+r)n for country's population during period 2001 and 2012.…

Q: Q3. Solve in terms of Bessel's function, the ODE: x²y" + xy +((inx)² + ¹)y=0_z = lnx using Bessel…

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Q: Solve sin x = cos x where x is in the interval [0,1]. Copy and paste from here: it Method 1: Square…

A: Given that sinx = cos xsin2x=cos2xSince cos2x=1-sin2xsin2x=1-sin2x2sin2x=1sin2x=12sinx= ±22The…

Q: Consider the 2-player, zero-sum game "Rock, Paper, Scissors". Each player chooses one of 3…

A: We consider the 2-player, zero-sum game "Rock, Paper, Scissors". Each player chooses one of 3…

Q: For each of the following questions, justify your answer using complementary slack- 1 ness and if…

A: Objective Function: Maximize: Z = 9X1 + 3X2 + 5X3 + 22X4 Subject to: 2X1 - 1X2 + 2X3 + 6X4 ≤ 8 5X1 +…