Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

Q: Week 16: Curvature and Radius of Curvature 3. Practice items Determine the radius of curvature of…

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Q: toid (a) find vectors 30 and +2 (b) find lu + 2√²1

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A: using first taylor polynomial for function f(x)=x at x =4  then we have to estimate value of 6   now…

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A: here given differential equation (D2-2D+4)y=16 particular solution is  P.I. =(1/(D2-2D+4))16e0x…

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Q: Evaluate 15 C3.

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Q: b. Given the vectors a=2i-j+2 k, b=3 i + 2 j -k, c =i+2 k i. Calculate: 2a-(b-3c) ii. Determine the…

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Q: Determine which of the following is the particular solution for the differential equation (D²-…

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Q: Find the angle between u = (4, -3) and v = (24, 10). Round your answer to the nearest tenth of a…

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Q: Given f(x, y) = = − xº + 3xy¹ - 5y³, find

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Q: f(x, y) = 3 sin(7xy) and g(x, y, z) = √121 – x² - y² – z². Find the following function values

A: Given functions:- fx,y=3sin7xy gx,y,z=121-x2-y2-z2

Q: Use a Venn diagram to answer. If n(A) = 7, n(B) = 12 and n(An B) = 4, what is n(AUB)? n(AUB) =

A: Given query is to find the value of the expression.

Q: and V. 35. 36. 37. = (1,1,1), V = (2,0,1) = (1, -2, 1), V=(3,2,1) =(5, 0, 2), v= (-3,0,7)

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Q: Evaluate the integral. [cx (2 + # ) co(2+) dz 0-csc (2 + 7) -CSC O + C -cot (z + = + z+ + C O cxc…

A: use the substitution method to solve the integral.

Q: Evaluate the expression. 10 P2 The solution is ☐

A: To evaluate the following expression.P210

Q: 9. Passes through the points (1, 2, 3), (3,-1, 4) and (1, 0, 1). ✔ 23

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Q: In Exercises 7-16, vectors and are given. Compute ū x v and show this is orthogonal to both ū and v.…

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A: Solution: When two dice are rolled

Q: Determine the Wronskian of the following functions: f (x)=x, f,(x)=e*, f (x)=xe* 3 00 O 2x -xe c²e²x…

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Q: 2) Given that tan o= 3 where & is quadrant III 0 9 find seco b) Given that csc o² = -9 where of is…

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Q: ¯= (x)= y: H ✦✦✦

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Q: Express the limit as a definite integral. IP-O Σ (32-6ck+7) Axk, where P is a partition of [-9, 2] {…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

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Q: Find the slope of the line tangent to the following polar curves at the given points.

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Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral F.ds,…

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Q: 7. Suppose you want to use 1020 feet of fencing to enclose a rectangular plot of land. The fencing…

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Q: Solve the Bernoulli's equation, y dy = (x - y²) dx

A: Given that , ydy=x-y2dx Solve the Bernoulli's equation.

Q: 4 Given the vectors ² = -37+√3 and V = √31-3³, find (a) the dot product = (b) |u²|= ? |V | = ? (c)…

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Q: Use a power series to represent the function f(x) = 6 5x − 4 centered at x = -4.

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Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: Question Find the sum, if it exists, of the series. Select the correct answer below: 52 189 27 91…

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Q: The first three terms of the Taylor series for COS approximation D a) 0.8092 b) 0.8089 c) 0.8090 d)…

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Q: Find the particular solution of the equation satisfying the given condit 3 TT sin(x) dx + sec(x) dy…

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Q: The marginal cost for a company to produce q items is given by MC(Q)= 0.005q^2- 0.7q + 600. The…

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Q: Find the indefinite integral x² S ²-16 =dx = +c

A: INTRODUCTION:   An integral is considered to be indefinite if it has no upper or lower bounds.  In…

Q: 1 7 6. 5 4 3 2 1 -1 --3- -4 -6 The graph above shows the base of an object. Compute the exact value…

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Q: Let g(x, y) = 3x³-6-2-5-y2 +1. a. ag ar Show/hide

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