2. x3 - y3 = c³, find y" %3D HOOAT d²x 3. x* = at?, find dt2 1983

Q: Determine the inverse Laplace transform of the function below. 17 S +81 Click here to view the table…

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Q: I ntegrate : 1. ト「1G4y? +L dx 64x?+ル 2+16 dx

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Q: 4. An object is moving along a horizontal line according to the position function s(t) = 2t - 21t? +…

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A: We know area of a rectangle= length*width and perimeter of a rectangle= 2(length+width)

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Q: Let g(x, y, z) = %3D Vx? +yZ +zZ Let 3 ターx? V9-x2-z2 V9-x2J9-x2_ ,29(x, y, z) dy dz dx

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Q: 2 f (x) | 9 (x) 9' (z) -1 1 -2 Let f be the function given by ƒ (x)= g (t) dt, where g is a…

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A: Given query is to find the inverse function.

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Q: Test the series for convergence or divergence. Justify your answer. Σ *-3

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Q: Consider the series (-1)n*(3n2+n+5)/(4n3+2) = 5/2 - 3/2 + 19/32 - 7/22

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Q: 5. R = (sin 2t , cos 2t , 2t3/2), 0 <t<1.

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Q: Find the equation of an ellipse satisfying the given conditions Foci: (- 2, 0) and (2, 0); length of…

A: Equation of the ellipse :    x-h2a2+y-k2b2=1 , where (h,k) is the center of the ellipse .Length of…

Q: A. [(f(x>g(x)) dx B. 8(x)- 0 dx+f, f(x)- 0 dx 2 c. [ fs)- 0 dx+f g(x)-0 dx С. -2 -1 2 3 -1 D. g(x)-…

A: Given query is to find the area bounded by the curve.

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Q: Express the function below using window and step functions and compute its Laplace transfo 0, 0<t<4…

A: The given function is: g(t)=0, 0&lt;t&lt;45,4&lt;t&lt;53,5&lt;t&lt;82,8&lt;t

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Q: Convert from rectangular to polar coordinates. (a) (0, 1) (Give your answer in the form (*,*).…

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Q: Consider the sequence defined by a, = In(2n³ + 2) – In(5n³+2n² + 4). Find the limit of an as n → ∞.…

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Q: Find the area between the curves y = = x² and y = %3D 3+ 2x2 Select one: V2 O a. O b. 2/2 V2 c. 6.…

A: The region is bounded by the curves,   y=x2 and y=23+2x2 Note:      Multiple questions are given, we…

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Q: 12 d t°dt = Using Part I of the Fundamental Theorem of Calculus, evaluate: dr %3D

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Q: Use a graphing calculator to solve the nonlinear system. y = log (x+ 5) y =x? Select the correct…

A: this question has been solved using a graphing calculator desmos.

Q: ACTIVITY 2: Find the derivative and simplify the result, if possible y = x2 + n² +x" y = x2 sec x y…

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Q: 1. S v2x – x² dx 1+x2 2. S* dx 1+x3 3. SV1+ v1+x dx 4. Set up only the integral(s) that will compute…

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