ind the work done by force field F(x, y) = e-vi — xe¯j in moving an object from P(0, 3) to Q(3,0). (

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A: Given:The function m(x)=-0.025x2+2.201x-16.906 models the mileage (in miles per hour) where x is the…

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Q: x = − 1 y = 3t²2t+11 Eliminate the parameter from the set of parametric equations: y = 2+ 2²+

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Q: In problem do the following. (a) Choose the appropriate substitution for r in terms of using the…

A: To evaluate the following integral. ∫1x2+2x+22 dx

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A: Given that , drdt=5 ft/secr=2 feet find dAdt=?

Q: Find the linearization of 1 √6 +x at x = 0. f(x) 1. (2) = (1+²) 1 2. L(x) 3. L(x) 5. L(x) = 6. L(x)…

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Q: Find all the second-order partial derivatives of the following function. h(x,y)=9xey + 8y +4 2²h 2…

A: The function is  h(x, y)=9xey+8y+4

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A: To calculate the integral ∫x+4x2+2x+5dx.   Use the common integrals:…

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Q: Use the Comparison Test to determine if the series converges or diverges. ∞ 5 +6 cos n n² 25) Σ n=1

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Q: 2. Give a counter example to the claim that f(E) nf(F) ≤ f(EnF). Recall injection, surjection ,etc.

A: We have to discard the given claim.

Q: Suppose the nth partial sum of a series Σ n = 1 is Sn – 3 n = 1 an = an Π 47 Find η πι an. If the…

A:

Q: The impact of inflation on a $80,000 pension can be measured by the purchasing power P of $80,000…

A: the given data is: The purchasing power P, P=80000e-0.0488t To find: At what rate (in dollars per…

Q: Consider the following.   ∞ 9 n(n + 3)   n = 1  (a) Find the sum of the series. (Round your answer…

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Q: y = f(x) (()) Suppose that the slope of the curve at (9,7) is -2/3 find (f")'(7).

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A: Given quotient function is f(x)=sinx1-cosx

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Q: Evaluate the limits using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)…

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Q: √ √22-9 dz -d.x x3

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Q: Consider the functions z= - ex In y, x = In (u cos v), and y = u sin v. dz dz (a) Express and ди əz…

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Q: (3) Use rules of differentiation f(x) = √√3x + 1 at x = 5. to find the derivative of the function

A: We have given function  fx=3x+1 Derivative of the function is given as  f'x=ddxfx f'x=ddx3x+1…

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A: Given: (r,θ)=(−7,π)

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A: Note: Since, the student has not mentioned question number clearly, but this is a standard question,…

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Q: -0.5 0-1.0 6 X co 10 12 -0.5 O-1.0 (h) When, for 0 ≤ t <∞, is the particle speeding up? (Enter your…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: find the equation for an hyperbola that passes through (5,6),(6,3), and (5,4)

A: To find the equation of the hyperbola passing through the given points, we can start by using the…

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Q: A bacteria culture starts with 200 bacteria and triples in size every half hour. After 2 hours, how…

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Q: 1 7. Given: A = 2 3 6) -5 8 and B = | 4 -2 9/ Find Trace of A and Trace of AB 2 3 -5 4 8) -7 9 0 2/

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Q: x³ + x² + 2x + 1 - dx (x² + 1)(x² + 2)

A: take partial fraction

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Q: Find the area of the surface obtained by rotating the curve defined by y = e¹, 0 ≤ x ≤ 1 about the…

A: We will find the area of the surface .

Q: Find the slope of the tangent line to the curve defined by 6x³ The slope of the curve at the point…

A: 6x3-xy+2y4=880  at point(4,4)d dx(xn)=nxn-1d dx(a.b)=adbdx+bdadxd dx(constant)=0

Q: 1. Let s(t) = 1 + et -t ca) find st (b) Which of the following equations hold true? Show why your…

A: s(t)=11+e-td dt(et)=etd dt(ab)=b×dadt-a×dbdtb2

Q: c) Find the area enclosed between the curve y = cos² x and the line y = 1: of y = 1 Ele y = cos².r

A:

Q: The equation of one of the directrices of a hyperbola is 2x + y = 1, the corresponding focus is (1,…

A: Let S be the focu and PM be the perpendicular distance of a point P(x,y) from the directrix , then…

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Q: x³ + y³ = 1 show that d²y dx² 2x y5

A: SOLUTION-

Q: Suppose we wanted to differentiate the function h(x)=(4-4x^6)(4-2x^3) using the product rule.…

A: we will find the required.

Q: Assume that a certain product has the demand function given by q=1400e^−0.03p (a) Write revenue,…

A: Given demand function d( p ) = 1400e-0.03p