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Q: ) Given f'(x)=12.r -4r+8, and f (3) = 1000 find f.

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A: Given query is to find the derivative of the function.

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A: Taking Laplace transform on both sides and solve it.

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

Q: c) L{S,T sin t dt

A: Given,          ℒ∫0tςsinςdς

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A: Here, the given function is: log R(w)=1.85-0.48log (w)...(1)

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

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A: Given that equation of line x-28=y+57=z+71Solution :x-28=y+57=z+71=tx=8t+2y=7t-5z=t-7point…

Q: Solve: |2x – 4| < 1 Give your answer as an interval. Question Help: M Message instructor

A: Solve the given

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Q: 1) Find the derivatives of the following. Simplify your final answers. d) 1(x) = tanh-1 x + In V1–…

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Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

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Q: Use implicit differentiation to find y′ for the equation below and then evaluate y′ at the indicated…

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Q: show that ī =3i+ 6j. %3D have Re sa we divein?

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Q: R(x)= 1 dt . 76 +4 Use FTC part II to find the derivative of the function

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Q: Find an equation of the tangent plane at the given point: F(r,s)= 2r3(1/s0.5) - 2(1/s4), (2,1)

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Q: 1 is 1+a A power series representation for za+1 for | – z| <1 а. n=0 Ob. Σ 22n for |– a| < 1 Oc. z"…

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

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Q: a) Find the second and the ninety-seventh term of the sequence 8 15 22 29 ( 18' 33' 48 ' 63 the…

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Q: The unit price of hamburger of a fast food shop called "MacDonna" increasesd according the formula…

A: Given: "MacDonna" increased the price of a hamburger according to the formula, P=a·bt where, P is…

Q: D. Find the area of the region bounded by the given curves. Breaking 1 NEWS x2 = 4y 3 y? = 4x %3D

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Q: Integration by Trigonometric Subshtunon SxCx?- ax+4) $12 XP

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: What's the difference between finding the difference of the tangent line, and finding the tangent…

A: What's the difference between finding the difference of the tangent line, and finding the tangent…

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

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Q: (a) How fast is 60 decreasing at this instant? Express the result in units of deg/s. Round your…

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Q: (ポ-2) X1 X

A: ∫12(x2 -2x)dx/x here now diivide by x ∫12 (x -2)dx [x2/2 - 2x]12 (2)2/2 - 2*2 - 1/2 + 2 2 -4 -1/2+2…

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Q: - tanf/3x* + Im(5x*) - In(5x*) y(x) = tan3x² +

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Q: Find the points on the ellipse 25x? + y² = 25 that are farthest away from the point (1, 0). List all…

A: Given equation of ellipse, 25x2+y2=25So, y=±25-25x2 Now distance between the points (x,y) and (1,0)=…

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Q: 1) Find the derivatives of the following. Simplify your final answers. a) f(x) = 2 2x T sin 2x + 2x…

A: a) f(x)=[2x1/2-3x2/3/2]/(1-x) -pi sin2x+(e2x+2x) 1/2-lne. Repost the next parts.

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by g = (95 -…

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Q: 3 6 Evakuate the determinant for the followeng matrix 5/ 1 OAR OC.

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Q: Find the derivative of g(x) = 6 + 8x4 at x = 1. ANSWER: g (1) = (Again, your final answer should be…

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