Show that the vector field F = is not conservative by showing it is not path independent.

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Q: Let H(x) = X S 64-1² dt, for -8≤x≤8. 0 a. Evaluate H(0). b. Evaluate H'(3). c. Evaluate H'(8). d.…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√3-x² dy =

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Q: Mary Branson invested her summer earnings of $5000 in a savings account for college. The account…

A: Given Principal amount ( P ) = 5000Rate ( R ) = 6.5 % Time ( t ) = 6 months =0.5 years

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Q: Given the following vectors, calculate -7v u=(6,-8)v=(6,-5)

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A: To find the inverse of the given matrix A.

Q: (c) 오늘이 dx.

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Q: This problem involves empirical probability. The table shows the breakdown of 92 thousand single…

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Q: □ 2. The terms of an infinite geometric series are given by a = 4(0.75) *-³. SM-3 Show all work to…

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Q: Given values for x and z to be -12 and 2, evaluate the following ordered triples to determine the…

A: Given system of equation 2x - 4y - 3z = -2 y = x3 - 3 -2x + 2y -4z = 2

Q: Express the limit as a definite integral on the given interval. 2x;* + (x;*)² Ax, [1, 6] lim n→∞ dx

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Q: 806 Chapter 14 Multiple Integrals It does not apply to regions with complicated holes through them,…

A: Let's find radius value.

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A: Given differential equation:- 3x-1y'=6y-103x-113

Q: 6. A hemispherical water tank, shown below has a radius of 6 meters and is losing water. The area of…

A: Given A = 12πh - πh2where h = depth at a time , h = 3 meterA = area Given dhdt = -12meterminwe want…

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A: We have to find the equation of the curve from the given parametric equation.

Q: Find the interval of convergence of the se- ries n=1 an n+3 1. interval of cgce (-3, 3] 2. interval…

A: use the ratio test for finding the interval of convergence.

Q: οι 1uaSup1 2U1 IO UOLenba au b uomenba

A: Given query is to find the equation of the tangent.

Q: Simplify the following expression completely. 3√2x+1-(3x+4)(2x+1)% 2x+1 f(x)=

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: For the given rational function, (A) Find the intercepts for the graph. (B) Determine the domain.…

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Q: Find the first four nonzero terms in the Maclaurin series for the function. f(x)=x sin(4x) 32 O A.…

A: We have to find the McLaurin Expansion of given function.

Q: Does this series converge or diverge? Give the test used ((11n-6)/(1+12n))^n Start at n=1 End at…

A: We are required to find if the series ∑n=1∞11n-61+12n converges or diverges. We are also required to…

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Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x) = 5x² [-3,2].…

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Q: Obtain Fourer Series of the following 044440 f(x) = of 0< x ≤T function

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Q: Question 14 Let f(x) = √7x. Using the definition of derivative at a point, f'(a) = lim enter the…

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Q: 3. Determine if this function is continuous at x = 0. cosx+1 so x>0 f(x)=2-3x,

A: Concept If f( x ) is continuous at x = a then limx→a+f( x ) = limx→af( x ) = limx→a-f( x ) we want…

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Q: What are the non-permissible values for Select one: O a. x 0,-1,1 O b. no non permissible values O…

A: let A=x2x+1÷xx2-1A=x2x+1×x2-1x

Q: Solve by the elimination method. 8x - y = 39 x+4y= 9

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Q: Find the present value of an ordinary annuity with deposits of $11,788 each year for 9 years at 6.0%…

A: Topic = Algebra

Q: Consider the function y = g(x) y = g(x) = -x ² + 2x + 7 9x of the the limit definition to compute a…

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Q: We can use L'Hopital's Rule to calculate " O True lim x18 O False x 2 (x - 2) (x + 2) although it is…

A: Given query is to find the limit.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: The parametric equations and parameter interval for the motion of a particle in the xy-plane are…

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Q: ? Suppose flx) = 10 - x ² a) Find the slope of the tangent line to the graph yo fb) when x = 2 Slope…

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Q: Calculate for w = xyz. By

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Q: oc. Σ 31-1)*(x-1) k=0

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Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are…

A: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are…

Q: Which Vector Integration technique/theorem should you use for the problem below? Please use complete…

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Q: 12) Set (et + 4) dt

A: Given,           ∫etet+4dt

Q: Determine the convergence or divergence of Σ n=2 2η 3 2 n’ – n’ –n+1

A: The given series ∑n=2∞2nn3-n2-n+1. We have check whether the series is convergent or divergent.