What is the degree u = of the specified eement 33, F= Q (√3) u Over the Field F?

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given Data: Let us consider the given data, rt=cosπti-lntj+t-10k ; t0=11.

Q: lim sqrt (x^2+1) x —> infinity

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Q: 1 0 3 0 -1 2 0 6 Let A= 0 -3 -6 0 -2 0 0 -92 0 -2 6 0 -1-2 2 -9 -1 0 0 0 -1 [10 3 0-1 0-1 0 0120 3 0…

A: The given matrix is A=1030-102060-200-3-60-92000-2600-1-22-9-1 The row echelon form of A is…

Q: (3.7] Consider the following linear programming problem: Maximize 2x₁ subject to + X2 X₁₂ 2x₁ + x2 +…

A: The given Linear Programming Problem is: Maximize 2x1+x2-x3subject to2x1+x2+4x3≤6x1+4x2-x3≤4x1, x2,…

Q: d dt Calculate ri(t) r₂(t)] and r₁(t) x r2(t)] first by differentiating · dt the product directly…

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Q: You want to integrate a continuous function f: D→ R over the region D shown in the figure below. The…

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Q: Thich one of the following relations is not a function? C. b. d. a.

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Q: Exercise 4. Let E= - {(x, y, z) € R¹³ : 2² + (y − 1)² ≤ 1, y ≥ 1, z = 4+}. The integral is equal to…

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Q: T(x, y) = (x + 3y, y — 2x, y)

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Q: The vectors 2 -0--0 V -2 -3+k 1 3 -8 are linearly independent if and only if k # W 2

A: Given vectors are u=[1,3,-8] ,v=[2,-2,-3+k] and w=[2,0,-4] As we know that condition for linear…

Q: A BASIS FOR Q-DESCRIBE THE BASIS IN ROSTER THE ELEMENT IN INCREASING GIVEN ENENSION OVE METHOD. LIST…

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Q: 2) The sketch shows part of the graph of y = f(x) which passes through the points A(-1,3), B(0, 2),…

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Q: Find a subring of Z ⨁ Z that is not an ideal of Z ⨁ Z.

A: Given: ℤ⊕ℤTo find: A subring of ℤ⊕ℤ that is not an ideal of ℤ⊕ℤ.

Q: 1. Find all solutions, if any, to the following systems of equations, showing all steps. (a) (b) (c)…

A: Given system of linear equations are , (a).              2x-3y = 34x-5y+z=72x-y-3z=5 (b).…

Q: Problem 5 For each of the following matrices A, find eigenvalues and eigenvectors (using Mathe-…

A: As per policy at a time only one question can be answered, please repost other questions with…

Q: ||r' (t) × r"(t)|| ||r' (t)||³ r(t) = 7 cos(9t)i + 7 sin(9t)j + tk Use the formula k(t) = k(t) = to…

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Q: = 1. Let (X, d) be any metric space. Difine p: X X X → R as p(x, y) d(ry). Then (X, p) is a metric…

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Q: A bungee jumper dives from a tower at time t=0. S(t)=75cos(0.8x) • e^-0.2-x + 75 Estimate the…

A: Given  that the jumper height  St = 75 cos0.8 t e-0.2t+75                    The jumper’s…

Q: rate of 22% per year and the rest ea 2% per year. After one year the total interest earned on these…

A: Formula for the simple interest is I=Prt where P is the principal amount, r is rate of interest and…

Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

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Q: 2 If the equation px² + (2 − q)xy represents a circle then find tl JI £

A: In the equation px2+(2-q)xy+3y2-6qx+30y+6q=0of circle the xy term does not occurand the coefficients…

Q: Describe the possible echelon forms of the standard matrix for a linear transformation T where T.…

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Q: to find L{f(t)}. (Write your answer as a function of s.) 0, (cos(t), L{f(t)} = f(t) = 0 ≤ t π/2 (s…

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Q: 5: Let F: VW be a linear mapping, where the vector space V has dimension 5 and the vector space W…

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Q: Work done by the force F(x,y) = (5x + 4cos(y))i + (3y - 4xsin(y)) acting along the curve y=x4 for…

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Q: Let H be a normal subgroup of a finite group G and let x E G. If gcd(lxl, IG/H\) = 1, show that x E…

A: Let H be a normal subgroup of a finite group G and x∈G, Given: gcdx,GH=1. To Show: x∈H.

Q: -5 If A 5e³t 4 = [5₁3] and 2 = [53] -5 -3e³t Ax 0 , find Ax. Ꭺ

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Q: Find the value(s) of k so that the quadratic equation will have two imaginary solutions. 3x² 12x + k…

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Q: Find the general solution of the system whose augmented matrix is given below. -90-1 0 -3 0 10 0-7 6…

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Q: Find the orthogonal trajectories For ;) 16x2+y2= c

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Q: Show that F : R^2 → R^2,F(x,y) = (x + y^2,2xy + 2y^2) is a gradient vector field, and find the…

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Q: Find the linearization of the function f(x) = L(x) = -1.1 Find the true values of f (x) and the…

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Q: cost-sint) √2 r(t) = (3e' cost)i + (3e¹ sint)j + 2k For the space curve below, T= i+ sint+ cost s!).…

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Q: Let f:X->Y be a function between metric spaces (X,d) and (Y,d). Prove that f: (0, infinity) -> R,…

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Q: Consider the differential equation dy dx 1-y² (a) Does this differential equation have any singular…

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Q: Problems In each of Problems 1 through 8: Ga. Draw a direction field for the given differential…

A: This question is about ordinary differential equation.

Q: Water is pumped at a rate of 6L/h. How long will it take to pump 14L (Answer in hours and minutes)

A: The pump Flow rate is defined as the volume of the fluid that is moving through a pipe in a given…

Q: Consider the following IVP y'=x+2y, y(0)=0. The third successive approximation (vs) of the given…

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Q: -) The gravitational pull between a planet and its star causes the planet to orbit its star with an…

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Q: Given the graph of the polynomial function, determine its equation: 6- 4 2- 0 -2- -4- H 2 3 4 X

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Q: 4. In R² a) Draw the grid corresponding to the basis 3 = 3.72] b) A certain vector v in R² has…

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Q: IV. Consider the vector-valued function F(t) = exists. 21-6 In(-2)' 2-4t+3/ Find lim F(t), if it

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Q: Use the definition of A to write the vector equation as an augmented matrix. 0 x₁ + x2 + x3 + X4 =

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Q: 19. y + y sin x = 0, 20. ty=t² e t, y(t) = 1/2 y(1) = 3 dt 21. (y + e)dy + (e x) dx = 0, y(0) 22.…

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Q: y = (x-3) (x + 2)²(x-1)³ The order of zero at 3 is 0; at -2 is 2; at 1 is 1. The order of zero at 3…

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Q: Let I be the linear operator in R2 defined by Find bases of the kernel and image of L. Kernel:…

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Q: In each of Problems 1 through 8: Ga. Draw a direction field for the given differential equation. b.…

A: The given differential equation y'+3y=t+e-2t. We have to draw a direction field for the given…

Q: Value of the integral (7x³tan(x) -6y4)dx + (6(x³y y20 is equal to: O 310.59999999999997 O…

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Q: Find the complex-valued Fourier series of f(t) = 1+2, -n≤t≤n, f(t + 2n) = f(t).

A: The complex-valued Fourier series of f(t) over [-L,L] is   f(t)= ∑n=-∞∞cneinπtLwhere…

Q: Question: The cost to manufacture of one type of tyres is $15 per hour. It takes 30 hours to…

A: We need to find average cost to manufacture a type of tyre using the given data.