Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the spring constant is k = 130 kg/s². (Use decimal notation. Give your answer to three decimal places.)

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Q: (a) Consider the following. -5 5 5 -5 Identify the surface graphed. O cylinder O paraboloid O cone…

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Q: 2) a> Determine the value(s) of k such tPhat g'u)= 5if g Cc) (x) x2-2 b) Write the equation of the…

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Q: x + 2y- z = 3 and x + 3y+z= an be evaluated by the following triple ntegral: 1-x 2-т-Зу dz dy dx. 42…

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Q: S sec?x csc²xdx O None of the choices tanx + cotx + C O - tanx + cotx + C O - tanx - cotx + C O O

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Q: Determine integrals for the area of the shaded region given the following figure. In part (a), give…

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Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

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Q: V9-x² 2. dx. Use trigonometric substitution. x2

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Q: The issue of convergence or divergence of some series can be answered by several different…

A: NOTE:- AS PER BARTLEBY GUIDELINES, WE WILL ANSWER ONLY FIRST THREE PART OF THE QUESTIONS.

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A: Given function F(x,y)=( 2x-6y ) i+(-6x+14y-7) j

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Q: Evaluate the proper Integral X-X aJ Simplified form b) Values of A, B,C,D CCD P needed) C)…

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Q: Determine whether the Mean Value Theorem can be applied to f on the dosed interval [a, b). (Select…

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Q: Surface Area All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is…

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Q: Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y =…

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Q: Find the derivative. (The Fundamental Theorem of Calculus -- Part 1) 19) y = cos ft dt COS-

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Q: - 4 + e-6x - dx e4x 23)

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Q: 80 Σ k k=41

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Q: Question 12 In x³Vx2 - 625 dx , if we let x = 25sece, then dx = 25secede. True F False

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Q: If t = x + ex, find d2x/dt2 given dx/dt = 1 / 1+ex.

A: dcdt=0 , where , 'c' is any constant. dexdt=ex .dxdt

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Q: Find the volume of the solid obtained by rotating the region underneath the graph of the function…

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Q: dx Evaluate: ²+4 x² + 4 – 4 + C +4 +4 | A In B None of the given choices in V x2 +4 - 2 + C C) x² +…

A: The integration of the integral is 1/[x sqrt(x2+4)].

Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: In solving the antiderivative of f(x) = 2 - 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx ∫fx=∫12-3sinxdx We know that sinx= 2tanx21+tan2x2

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Q: 15

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Q: Find the general solution of the differential equation. 121y(3) + 132y" + 36y' = 0

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Q: Give an appropriate response. 3) Find the limit of f(x) as x approaches 2 from the left. (-3 if x3…

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Q: a) (fog)(7) b) If 4) If f(x) = x + 3 and g(x) then find (gof) (2). %3D x+1

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Q: Evaluate the following integrals: (a) / dx V2x2+1 (b) / sin(In(x)) dx (c) S(x² + 2x)e2* dx

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Q: dx :Ja-4)(x-1) Evaluate: 1 A (x-1) + C X- 4 B None of the given choices x- 4 + C х-1, © 3ln

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Q: x² sin 2x dx¸ Use integration by parts.

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Q: /9-x² dx. Use trigonometric substitution. x2

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Q: 5xy = 4x?z – 3yz?; yx and yz. -

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Q: Evaluate the integral. (Use C for the constant of integration.) 10 dx 5x + x/x

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Q: Work problem 2 " ) You must provide clear and detailed solutions for each of the following…

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Q: Question 7 dy = 2/y- 5In|Vy+ 5| + C Vy+5 T True F False

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Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)

A: a) B∩∪iAi=∪iB∩Aib) B∪∩iAi=∩iB∪Ai