Commuting to work: Jamie drives to work every weekday morning. She keeps track of the time it takes, in minutes, for 20 days. The results follow. 11 19 21 24 30 33 33 35 35 35 38 42 44 46 47 54 59 60 72 75 Send data to Excel Part: 0/4 Part 1 of 4 (0) Find the first and third quartiles of these data. The first quartile is The third quartile is

Q: Find the value of the derivative of the function f(x) = 2x³ - 5x² + 3x - 1 at x = 2.

A:

Q: Evaluate each integral. "In(x) xe dy = e (In(x) [the [incx). xey dy dx = 82 (in(x) $6hxe xe dy dx…

A: We have to evaluate the given integration.

Q: Use the Shell Method to find the volume of a solid obtained by rotating the region B about the…

A: Given that a=4 and b=4The region B is bounded by the curves  , ,  and x-axis

Q: - Evaluate f√x+y (y-x)² dxdy using the transformation x+y=ky D.

A:

Q: 22. Let v₁ = (1, 6, 4), v₂ = (2, 4, -1), V3 = (-1, 2, 5), and W₁ = (1, -2,-5), w₂= (0, 8, 9). Use…

A: Given vectors are Here observed that So we have each of .In other words ,

Q: The square region with vertices (4,0), (8,4), (4,8), and (0,4) is revolved about the x-axis to…

A: The square region with vertices (4,0), (8.4), (4,8), and (0.4) is revolved about the x-axis to…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: We have to find the inverse Laplace transformation.

Q: If sin(x) = (in Quadrant 1), find Give exact answers. sin (2) - cos (7) = tan (7) -

A: Introduction: Here use the trigonometric identities to get the required solutions.1. Half angle…

Q: Evaluate by the residue theorem: So √(1+2+7²) [#]. dz

A: Given:The integral To find:The integral using residue method.

Q: Q₁:A. Solve the ODE: x³y"" - 3x2y" + 6xy' - 6y= 10x² use the variation of parameters method to find…

A:

Q: for part b of the question, how did we get 2 answers after isolating for x?

A: Since the sinusoidal function is periodic , we get the repeated value.We can clearly see this in a…

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Find monotonicity, convergence or divergence, and bounds (if…

A: Monotonic sequence : A sequence is called Monotonic if it is either increasing or decreasing as n…

Q: Suppose that every term of the series 1 an positive and that the series i convergent. Which of the…

A: We have to check the series ara convergent or divergent.using suitable  tests

Q: f(t) = e³t(sin 2t + cos 2t)²

A:

Q: log_(2)x+log_(2)(x-6)=4

A:

Q: 12. Practice similar Help me with this I H J # G Consider the graph given above. Give an Euler…

A: We use definition of Euler Circuit.

Q: 5 4 3 2 1 H -2 -3 -4 -5+ -1 The graph of a function y = f(x) is shown. Make a sketch of the…

A:

Q: Evaluate f (x - y)(y - z) dV for the box B3 with dimension: [4, 9] × [0, 1] × [0, 1]. (Use symbolic…

A: We have to evaluate the integration .

Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 14 4 6…

A:

Q: Consider the graph of distances from the origin as a function of time for a car trip. 150 100 50…

A:

Q: 2. Consider the differential equation = y¹2y³ + ay². Do a complete bifurcation analysis dt which…

A: Given Differential Equation: Objective: Perform a complete bifurcation analysis, including a…

Q: Use the method of variation of parameters to solve the initial value problem x'=Ax + f(t), x(a)=x…

A:

Q: Q2) Find the general solution for this equatio- y" + (tanx-2cotx)y' + (2cot²x)y = 0 If you know that…

A: Given differential equation It has one solution Lets use method of reduction of order.Assume the…

Q: Find the solution of the differential equation y' - 2y = 0, satisfying the initial condition y(0) =…

A:

Q: Find the surface area of that portion of the plane x+y+z=1 that is above the region in the first…

A: The plane  that is above the region in the first quadrant is bounded by .To Find:Surface area.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Find the formula that describes a: {4,9,18,31,48,69,94,123}

A: 4,9,18,31,48,69,94,123So we have 491831486994123

Q: consider the differential equation x^2 y''-x(x-2)y'+(x+2)y=0 , y1=x is a solution find y2

A:

Q: Evaluate f (xz+yz²) dV for the box B: 0 ≤ x ≤ 5, 2 ≤ y ≤ 4, 0≤z ≤ 2. (Use symbolic notation and…

A: .We have to evaluate the integration .

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" − 6y' + 13y = 0, y(0) = 0,…

A:

Q: 4 sin 3t

A: We need to find the Laplace transform of 4sin3t using definition via integration.

Q: Compute the order of the matrix 0 1 (98) -1 in GL2(R).

A:

Q: 4. Evaluate [In(z+i)dz along the line from 1 to 1+i3

A:

Q: 9. Find a vector equation for the tangent line to the curve at the specified point. a) x = et cost,…

A:

Q: Find all solutions to the equation below in the interval [0,2). Give all answers as exact values in…

A: The given equation .We have to find the values of in the interval .

Q: 2. Solve the given system of equations. using Cramer's rule (1) 2x₁ + 3x₂ = 8 x₁ +4x₂ = 9 (Ans. x₁…

A:

Q: (5) If f(z) is analytic, show that f'(z) is also analytic, and hence its derivative of any order…

A:

Q: Find the area of the surface. The part of the plane z = 6 + 5x + 3y that lies above the rectangle…

A:

Q: 3. consider the group D4 = {(1), (1234), (13), (24), (1432), (12), (34), (14), (23), (13), (24)} a.…

A: To enumerate all the distinct subgroups of the group D₄, we need to consider all possible…

Q: Consider the following initial-value problem. λ = K₂ = 2 = X' = Find the eigenvalues of the…

A:

Q: Evaluate Svx (4X √x (4xj) •n do where S is the hemisphere x² + y² + z² = 1, z 20. Use the S normal…

A:

Q: find a basis for the mullspace of the matrix A and find the dimension of that space. A= -3 2-62 3-93…

A: The null space of an  matrix A is

Q: ® let Act show that the eigen Value d of A are the diogenal elementa and b

A: According to Bartleby Guidelines ,we solve only question number 3.The given matrix is .Also a and d…

Q: 5. Write the Fourier Sine series for f(x)= π−x (0<x<π). Ans. 2Σ n=1 sin nx n

A: (.) Note : '' As per guidelines, we will solve the first question. If you want any specific question…

Q: y’’’+y’-6y=e^2t cost

A:

Q: At what point does the line normal to the graph of y = 2 + 4x + 2x² at (1,8) intersect the parabola…

A:

Q: Calculate the double integral of f(x, y) = 48x over the triangle with vertices O = (0, 0), A = (3,…

A: The function .We have to calculate the double integral of over the triangle with vertices .

Q: Use Separation of Variables on the following partial differential equation: ∂u/∂t = k(∂^2u/∂x^2),…

A:

Q: Jo and Ellen are partners in a painting business. Because Jo is the office manager, she is to…

A: Let's denote Ellen's share as x dollars. Since Jo is to receive one-third more than Ellen, her share…