5. Find the equation for each graph: B -2 2 -2 -2

Q: Let y=A cos x + B sinx is the solution of the differential equation

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Q: 2y" – 3y +y –0 4y" – 9y – 0

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Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

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Q: Find the average value of the function over the given interval. f(x) =13–x² on [-3,3]

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Q: Plot the following functions over the defined domain. Range is at all values of y c. y = x5 + 4x* –…

A: Given function f(x) =x5+4x4-3x3+2x2+x+1   , 0≤x≤5

Q: x² - 4 lim 1-2 +2 O-00 O 4 O 4 O 2

A: Use  a2-b2=(a+b)(a-b)

Q: The r.m.s. value of f(t) V2x – 1 across [-2,1] is Answer:

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Q: graph of the function arcsec(x).

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Q: 2" (2n + 3 )! By the series test: n=1

A: We need to check the convergence of the series :

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A:

Q: Sketch a graph of a function that satisfies each of the following. (Feel free to use the circles to…

A: Answer is in step 2 and it is done by using the given conditions.

Q: Which of the following series is convergent? 2 n 3 n=1 3 n n=1 O None of them. n 4 n=1

A: Check the condition of convergence and divergence.

Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: Knowing that harmonic series is divergent, which of the following series is also divergent by Limit…

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Q: (y + 1)dx + (4x - y)dy 0

A: Explanation of the answer is as follows

Q: The series 2 1 is convergent. n =1 n(2) Select one: O True O False

A:

Q: Determine whether the following series is convergent or divergente: 00 (-1)" 2-n4 +2

A: We can solve thus as follows:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: The given function is: f(x,y,z)=x2+y2+z2 which is to be minimized with the constraint function…

Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…

Q: Find the exact arc length of the curve x = + 2) ? from y = 1 to y = 8. 3 Enter the exact answer. L =

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Q: Find the solutions of the system of inequalities by graphing: x + y 2

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Q: Consider a triangle ABC like the one below. Suppose that C=121°, a=64, and b=68. (The figure is not…

A: Given C=121°, a=64 and b=68We know cosine rule is…

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Q: ind, if any, the local maximum and minimum values and the saddle point(s) of the function f(x,y) =…

A: To find, if any, the local maximum and minimum values and the saddle point(s) of the function fx,…

Q: graph of the function arccsc( x

A: We can graph the function as below.

Q: r-3 = 3coso -6

A: Given that :.  r - 3 = 3cos(theta) First we change this polar equations in the form of Cartesian and…

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A: Given;  w=x tan(y+z), (3,7,-3).

Q: the solution for the given initial value problem. Trace the graph of the solution and describe its…

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = (i-)

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Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

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Q: The polynomial of degree 4, P(x)P(x) has a root of multiplicity 2 at x=4x=4 and roots of…

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Q: biscee HOM VIT MOBKI (-) = (x)f %3D (x? – 7x+13) for 8. Identify any asymptotes, extrema, points of…

A: Given that the function is       f(x) = (x2-7x+13)/(x-4)

Q: Work Problem 1 (a) Sketch the surface generated by revolving the line y = x/2, 0 <x < 6, about the…

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Q: Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify…

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Q: cos x dx 1+2 sin x

A: SOLUTION-

Q: _9. Which of the following is equal to fo°dt? A. e C. ex+C D. et +C B. e° +C _10. What should be the…

A: Given data÷

Q: A fence is to be used to entirely enclose a rectangular plot of land with an area at 1600 ft.² It…

A: To show that a 40ft by 40ft rectangle will require the least amount of fencing to enclose the given…

Q: a²+ax+b The curve Y has a local minimum at (3, 8). Determine the values of a and b. x-1

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Q: Show that la 1 1 1 a 1 - (а + 3)(а - 1)3. - 1)³. %3D 1 1 a 1 1 1 a

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Q: Which of the following is false? 3 n The series. is divergent. 4+n n=1 1 The series - n=1 3+n4 is…

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Q: Solve this problem algebraically, using your knowledge of derivatives. Do not solve by graphing.…

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Q: Find the gradient of the function at the given point. g(x, y) = 6xeYlx, (14,0) Vg(14, 0) :

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Q: 1. Determine the following using the graph of f provided below. If the value is infinite, specify ∞…

A: Solution: Given graph:

Q: Water is falling on a surface, wetting a circular area that is expanding at a rate of ? s How fast…

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Q: Consider the following. u = 8i + 7j v = -7i +j+ 2k Find u x v. Determine if u x v is orthogonal to…

A: Here, the given vectors are: u=8i+7jv=-7i+j+2k

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: If f(x) = 2/x and g(x) = 4/x, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

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Q: thank

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given: fx,y=x2+y2 The constraint equation is: gx,y=x+2y-20