Use Simpson's Rule with n= 4 subintervals to estimate the integral of the square root of x  dx  with upper bound of 9 and a lower bound of 1.

Q: Determine whether the series is convergent or divergent. (-1)+ + 1 n+8 n = 0 Identify b Evaluate the…

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Q: Find the absolute maximum and minimum values of the following functions on the given region R.

A: Step 1:Givenf(x,y)=x2+y2−2y+1onR={(x,y):x2+y2≤4}The function is defined on a closed region. So…

Q: The graph of f is shown for the interval [-2, 6]. 45 40 35 30 25 20 15 10 5 0 54 y x' -3 -2 -1 0 1 2…

A: Step 1: Understanding f′<0 and f′′>0f′<0: This means the function is decreasing over that…

Q: f(x, y) = x² + y² − 2y + 1; R = {(x, y): x² + y² ≤ 4}

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Q: " Do not use AI" "Answer must be hand written"

A: We are asked to find the linear approximation of the function f(x)=6+x at x=3. Then, we are to use…

Q: According to the method of undetermined coefficients, the differential equation y" + 4 y′ + 4y = 3…

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Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.

A: If you have any problem let me know in the comment section thank you.

Q: 2. Find the function f(x) given that f'(x) = 3cos (x) - 2sin(x) and f(π/6)=√3. Leave your answer in…

A: To find the function f(x), we need to integrate f'(x). f′(x)=3cos(x)−2sin(x) Integrating both sides,…

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Q: For f(x, y) = xex^2y find fx(1, ln 2) and fy(1, ln 2).

A: Step 1:Step 2: Step 3: Step 4:

Q: 1. 3 points Estimate the area under the curve on the interval [-5,3] using the left-endpoint…

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Q: 42.37590 is correct and 42.11205 is incorect.

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Q: I need help with how to solve these problems from this exercise. If you are not allowed to answer…

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Q: " Do not use AI" "Answer must be hand written"

A: Let's denote the length of the garden parallel to the house as x and the width of the garden (the…

Q: 2. (15 pts) Write the Maclaurin series for the function f(x) = sinx. Use it to write the Maclaurin…

A: ### 1. Maclaurin Series for  f(x) = sin x :  The Maclaurin series is the Taylor series expansion of…

Q: Solve showing a step by step and the final answer.

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Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider the second order linear differential equation (t+7) y″ − y' + t y Let y1(t) and y2(t) be…

A: Given Differential Equation(t+7)y′′−y′+ty=0 For a second-order linear differential equation of the…

Q: 1. Evaluate the integral f(x, y)dxdy, of function f R² →R over the domain DC R2, where: f(x, y) = 2x…

A: ∬D​f(x,y)dxdywhere  f(x, y) = 2x + y , and D is the triangular region with vertices at  (0, -1) ,…

Q: Let (W)to be a Brownian Motion. (a) Find an expression with integrals for W4 using Itô formula. (b)…

A: Step 1:(a) Finding an expression for Wt4​​ using Itô's formula Itô's Formula:Let f(t,Wt​) be a…

Q: Let (W)to be a Brownian Motion. (a) Let Xt, check that (X+) is an Itô-integrable process. (b) Let Y₁…

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Q: Please help on all asked questions, Pls show all work and steps, and circle the final answer.

A: (a) limx→1​f(x) As x approaches 1 from both the left and the right, the graph shows that f(x) goes…

Q: 3. Consider the following system of equations, x(t) = (x, y), - x' = (3-1)x 5y y' = 2x+(3+ 1)y (a)…

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Q: Consider the curve r (t) = (sin³ (t), cos³ (t), sin² (t)) for 0 ≤ t≤ π/2. Compute the following…

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Q: In the xy-plane, the graphs of the linear function and the exponential function E both pass through…

A: We can use the two given points to model the equation of the line using the slope-intercept…

Q: Show all steps. Correct answer is : 3.1415926535898

A: SOLUTION:

Q: Calculate the following integrals, subject to the following rules: ⚫ you must use integration by…

A: Let me know in the comments if there is any calculation mistake or if you need help understanding…

Q: 2. Which of the following differential equations has the direction field shown? Explain your answer…

A: May this answer helpful to you.

Q: Please help me with these questions. I am having trouble understanding what to do. Thank you

A: 1.Step 1:Given f(x)=(1−x)25+x​We use following formula1−x1​=n=0∑∞​xnStep 2:We differentiate second…

Q: Two stoves are located 43 feet apart, one giving out 4 times as much heat as the other. If you stand…

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Q: b) Ving after July). (2) c) what kind of time will: lation (5) 5) A bank advertises that it…

A: Because the bank employs continuous compounding, your money will increase steadily over time. We…

Q: 3. Solve "+4x' + 3x = 28(t − π), x(0) = 2, x'(0) = 0. -

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Q: || 8 Example: If ƒ (x + 2π) = f(x), obtain Fourier series expansion for the function given by 2x 1+…

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Q: (a) Describe the shape of the curve C parameterized by r(t) = (t cost, tsin t, t) where t ∈ [0,…

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Q: S(6x+7)dx. Find (6

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Q: Find Dof(1,2). น 3 -4 f(x,y) = 2x2-3xy + 6y

A: Step 1:Givenf(x,y)=2x2−3xy+6yandu=⟨53​,−54​⟩Then directional derivative of f along the vector u is…

Q: solve part a and B.

A: Remember the first derivative test:f'(x) gives the rate of change or slope of the tangent line…

Q: need help

A: Step 1:Step 2: Step 3: Step 4:

Q: k. 1. |_ 1/2 S 0 cos(x-2) x3 √1+ e¯x ex dx dx

A: First, we simplify the integrand. The term S is a constant and can be taken out of the integral. The…

Q: 1 1 1 Use the co-factor expansion method to compute the determinant det(A) when A = 0 -2 0 -1 3 -4

A: Step 1:The determinant of A using co-factor expansion is given…

Q: Which option below describes the tangent line to the curve r (t) = (cos(t), 3et, 3e¯ Select one: ○…

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Q: Find the first moment about y-axis (My) and center of mass (X) of the region bounded by the line y =…

A: The region is bounded by the line y = x, the line x = 1, and the x-axis. This forms a right triangle…

Q: Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values…

A: The problem involves determining the range of values of x for which the approximation…

Q: Write the integral of a function f(x, y) over the following regions. Do not use a substitution;your…

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Q: how do i estimate the area under the graph of f(x) = 2 cos(x) from x=0 to x= T / 2 using four…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: If you have any problem let me know in the comment section thank you.

Q: solve part e

A: Step 1:

Q: The answer is 6 mo: 6%. Help breakdown step by step how to get this answer.

A: To determine when the selenium is reduced to a minimum and the minimum percent, we follow these…

Q: 6) A certain radioactive element has a decay rate of 7 % per day, that is it satisfies the equation:…

A: Given: A0​=800g;t=0day;dtdA​=−0.07AStep 1: Write the derivative equation so that it can be…

Q: please find the general solutions to the following ODEs: 1. dy/dx + k^(2)y  where y is a function of…

A: //The answer above is the detailed solution of the given problem //Feel free to ask doubts if any…