Use Green's Theorem to evaluate Jc (3y- ) dx + ( 7 x + √y 4 + 1 ) dy (3y-esinx) dx + (7x 2=9 where C is the circle x²+y² = 9.

Q: 0 The matrices are 2 A = 0 4 = (22), B = ( 10 ), C = 0 - ( 1 ) -2 0 0 2 Compute the following…

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Q: Match the following vector fields with their plots below. 1. F(x, y) = 2. F(x, y) = (0, x²) (x − y,…

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A: Given:y=(x−3)1/3+2 Step 1: Setting Up the Integral  Rotated around the (x)-axis the Shell Method…

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A: • Sequence will be converget if the value of the limit is a finite number. So, sequence converges…

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: Question 2 1 pts The function u = − - x³ y² (−6 x + y − 6) – (2 x − y − z)² has a critical point p =…

A: Step 1: Find the Hessian matrix H(p). The Hessian matrix is the matrix of second derivatives of the…

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A: We are given:M(r)=1+0.004r21+0.05r​where 1≤r≤8. (a): For what values of r is M(r) increasing? To…

Q: Q3. [5 marks] A potato at room temperature (20°) is put into an oven maintained at 100°. After 20…

A: Potato at 20 oC put in the oven at 100 oC for 20 minutes After 20 minutes, the potato is put in the…

Q: 1. Which of the following statements are true? (i) Every continuous function f : [a, b] → R has a…

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Q: Pls help ASAP. Pls show all work and steps. Pls circle the final answer.

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Q: Sketch the region of the integral √ √ dy dx. Write an equivalent double integral with the order of…

A: 1. Sketch and Reverse the Order of Integration Reversed Order:       3. Volume of the Region in the…

Q: Please help me with these questions. I am having trouble understanding what to do. I keep getting…

A: Part (a):

Q: log -(x-2)=9 x

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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: Please utilizing the solutions to the previous sub questions, solve and write out explicitly the…

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Q: Question 1 1 pts The density of the rectangular plate [2,3] × [1,4] in the x, y-plane is p = y/(3 +…

A: Approach to solving the question:Integration Detailed explanation:

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: Determine whether the given vectors v1, v2, v3 are linearly independent or linearly dependent.

A: Step 1: Step 2: Step 3: Step 4:

Q: B-Solve the D.E of the following: 1- y+3y+2fy dt = f(t) for y(0)-1 if f(t) is the function whose…

A: The equation is:y′′+3y′+2y=f(t),where f(t) is defined by the graph provided, which is a rectangular…

Q: 1. In this problem you will use Newton's Method twice to approximate the x-intercept (i.e. find 2)…

A: Newton's Method is an iterative process that uses the tangent line of a function at a given point to…

Q: A ball is thrown at an angle of 45 degrees to the ground. If the ball lands 50 m away, what was the…

A: 1:

Q: 4. (i) Let f R2 → R be defined by f(x1, x2) = 2x 8x1x2+4x+1. Find all local minima of ƒ on R². [20…

A: Step 1: Step 2: Step 3: Step 4:

Q: 1.4 points Evaluate the definite integral shown. You must show enough work to convince me that you…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Hi I really need help with how to answer question 3 in attached image, the one that asked the…

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Q: Let S be the parabolic arch given by r(u, v) = (u+v, u−v, 4−u^2) where (u, v) ∈ [−2, 2]×[0, 1].…

A: First, we need to compute the partial derivatives of the vector function r(u, v) with respect to u…

Q: Sketch the graph of a function that satisfies all of the given conditions. f ′(x) > 0 for all x,…

A: Explanation:   f'(x) > 0 for all x: • This means the function is always increasing.  f''(x) >…

Q: A doctor prescribes a 400 mg antibiotic tablet to be taken every eight hours. It is known that the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Question 1 The value of sin(5M) where M (0,0), (1, 1) and (3,0) is = O-0.091 0.126 -0.231 O -0.775…

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Q: 6.2.13. Suppose Lx = f(t), x(0) = 0, x'(0) = 0 for the input function f(t) x(t) = 2e+te¯* + (t − 2).…

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Q: 6.2.102. Solve x" — x = (t² − 1)u(t - 1) for initial conditions x(0) = 1, x'(0) = 2 using the…

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Q: GUIDED PRACTICE Apply the laws of exponents in each. 1. (4a³b²)(-2a²b²)2

A: The given expression is (4a3b2)(-2a2b2)2.

Q: Classify each of the following first order differential equations 1. is a linear equation 2. is a…

A: Step 1: *Identify the Equation Types*: Review each differential equation's structure to determine…

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

A: r=−2 and  r=−4

Q: Evaluate the following integrals using له 00 +2 e dx = √πT (a) o 19x-e 2X (6) 13√x e dx ㅠ

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Q: Solve the example: 1- L log s-a 2 (s² + a²) 2- I-1 e-2s 3- (s+1)³ -2t L(et sin 3t) L-1 e-s

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Q: Answer the given questions. Please show step by step working outs

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Draw the following solid and explain each step to obtain the final result of the volume (see image):

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Q: Breanna Feeley - Ou X W Hypothesis.dx| Protocol and Hypothesis.d X Dashboard…

A: The problem is asking for the minimum length of a beam that can clear a fence of height 3 ft and…

Q: ex 2. Diketahui ſ¹ e* dx ·00 x a. Kenapa integral diatas merupakan imroper integral? Jelaskan b.…

A: An integral is considered as an improper integral if one or both of the limits of integration are…

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: Please help me with these questions. I am not understanding what to do. Thank you

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Q: answer it

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Q: find lower and upper limit of theta and r

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Pls help ASAP. Pls show all work and steps. Pls circle the final answer.

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Q: A stunt cyclist needs to make a calculation for an upcoming cycle jump. The cyclist is traveling 100…

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Q: Determine whether the series is convergent or divergent. Identify b 8 Σ n = 1 (-1)-1 7 + 9n Evaluate…

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Q: Use series to evaluate the limit. lim sin(2x) - 2x + .5 4 + 3

A: Step 1:To evaluate the limit using series, we will use the Taylor series expansion of sin(2x) and…

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

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