1. List the intervals where f is increasing. 2. List the intervals where f is decreasing. 3. List any relative maximums of f.

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Q: 1 Write step-by-step solutions and justify your answers. (1) Solve the initial-value problem 3"…

A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

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A: We have to find s(t)

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Q: ! Solve the boundary-value problem y"+ 9y = 0, y(0) = -3 and y(a/3) = 2.

A: To solve the given differential equation.

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

A: To solve the given boundary value problem.

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Q: sin u cos v

A: This is a product to sum formula. This is a direct formula and here I m providing the formula onthe…

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Q: A graphing calculator is recommended. The normal monthly high temperatures for Erie, Pennsylvania…

A: Ht = 56.72 + 23.62sin0.50t-2.08       ,t∈1,13Lt = 41.89 + 21.52sin0.52t-2.27        ,t∈1,13…

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A: To simplify the given rational expressions.

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Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

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Q: 3. Let f(r, y) =rsin ry. Find: %3D (a) fz(I, y) (b) fy(r, y) (c) fyy(1, 9) (d) fyz(r, y)

A: Given f(x,y)=xsin(xy) Now fx= d/dx (f(x,y)) fy= d/dy (f(x,y)) fxx= d/dx(fx(x,y)) fyy= d/dy (fy(x,y))…

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A: Given curve  r= 6sin(9t)i-6cos(9t)j =xi+yj So, x=6sin(9t) , y= -6cos(9t)

Q: Solve the system of equations. x+2y = 0 8y = - 4x Solve the first equation for x. x +2y = 0 x = y

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A: PV = kT   P = kTV                                               1…

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Q: 17. Graph the line that passes through the given point and has the given slope: 5 (-3, -2) т%3D

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Q: 3. LetR be the region shown in the accompanying figure. Fill in the missing limits of integration.…

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Q: -3 d) de e) co f) dx x-2 + 4 cot x dx e2x - 1

A: Solution in step 2

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Q: Provide a step-by-step solution to the following differential equation (linear quation) y' =…

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