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Q: Problem 2 Solve the differential equation y" + y = cot x using Method of Variation of Parameters

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Q: Given the function f(x) = 8+8æ", calculate the following values: f(a) = %3D %3D f(a + h) = %3D f(a +...

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Q: Give the first four nonzero terms of the series about x = 625 representing the function f(x) = v

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Q: Let f be a function such that | f(u) du = -12. What must be the value of -6 f da?

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Q: A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as sho...

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Q: Determine the coterminal angle of 0 that is in the interval [0, 27) 307л 0 = 3

A: The answer to this question can be obtained by changing the angle in radians into degrees and then d...

Q: A box with a square base and open top must have a volume of 42592 cm. We wish to find the dimensions...

A: To minimise material we have to minimize the area

Q: Given vector u= (-3, 3) and v = (6, –2), determine the value of 4u + v in | component form.

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Q: L {t sin(4t)

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Q: sketch the curve x2 + x2y2 = a2 y2 , a> 0. Enumerate the steps in your solution

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Q: Find dy/dx by implicit differentiation. 2Vx + vỹ = 5

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Q: Find the derivative of the function. y = (tan-(4x))2 y' =

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Q: R be the region bounded by the functions f(x) = -4x2 + 10 and :) = 4x +2 as shown in the diagram bel...

A: Given query is to find the are bound by the curves.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2, ...

A: FIND THE AREA

Q: Calculate p(2x + 6y) dx dy, where Dis the shaded region in the figure. x+ 2y - 10 6. 10 *+ 2y - 6 Hi...

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Q: Determine the open intervals on which the graph of the function is concave upward or concave downwar...

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Q: Each graph represents F'cx) n (not the original function -) x-coord inates of maximums -) x-coordina...

A: solution is given below..

Q: integrate the following ∫(y-2 + 1/2y - 1)dy

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Q: If g' (x) = f(x) with g(-12) = a, g(-3) = 6, g(2) = c, and g(8) = d., %3D %3D BERVED express the val...

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Q: The functions f and g are continuous and differentiable with g' (x) = f(x). Selected values of the f...

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Q: 2 -1 se s? +4 .2

A: Given:       L-1se-π2ss2+4 Apply inverse transform rule:       if L-1Fs=ft then L-1e-asFs=Ht-aft-a w...

Q: Determine whether each point lies on the line. x = -4 + t, y = 6t, z = 7 +t (a) (0, 24, 11) Yes No (...

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Q: (d) y" – 8y' + 20y = 100x² – 169xe". %3D - (e) y" – y' – y = exp(5x). %D | (f) y" – 2y' + 5y = e" si...

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Q: ind the indicated partial derivatives of: z = Vx2 + y? Dz

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Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =...

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Q: 3 1. 2y2/3

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Q: Let R be the region bounded by the functions f(x) = 2x2-4 and g(x) = 4x as shown in the diagram belo...

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Q: e implicit differentiation to find y' and then evaluate y' at (- 1,1). x In y + 4y = 3x3 D |(-1,1) =...

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Q: 13. DETAILS LARAPCALC10 3.2.006. Find all relative extrema of the function. (If an answer does not e...

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Q: per week) oOf revenue. decroasing at a rate $6 per week. Find the associated revenue function R(p) a...

A: Given query is to find revenue function and rate of change of revenue.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: t cos 412 dt

A: We have to solve this integration.  I am using substitution method. 

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Consider the following function and closed interval. f(x) = x - 3x + 5, [-2, 2] Is f continuous on t...

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Q: Let R be the region bounded by the functions f (x) = 3x2 as shown in the diagram below. Find the are...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at half...

A: Find lower and upper estimates for the distance (in feet) that she traveled during these three secon...

Q: 3,-2,2]ad ū= कि-5, १ । 22 -> detemine ú x v.

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Q: 3. Determine whether the function is continuous at the given values of a. Show your complete solutio...

A: Given function fx=x+2if x≤12x2if 1<x≤3x3if 3<xiTo chaque the function is continuous  at x=1x+2...

Q: Write an integral that is equivalent to æf (x²) dæ. a = b = || f(u)du submit Answer a at

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Q: Consider the following. u = 5i + 3j, v= 2i + 4j (a) Find the projection of u onto v. 296i + 111j 73 ...

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Q: 2. -2

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Q: A car rental company charges 60 dollars per day, 12 cents per kilometre driven, and a 40 lollar one-...

A: Given query is to find the cost function.

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

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Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following co...

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Q: 31, Watch help video he functions f and g are continuous and differentiable with (x) = g'(x). Select...

A: Given query is to find the value of g(2).

Q: 1. A piece of string is wrapped three times around an empty paper towel tube. The tube is 9 in long ...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: g(b) Use the substitution formula f(g(x))g'(x)dx = f(u)du where g(x) = u to evaluate the integral be...

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Q: Consider the following. u = (-7, –8, 4), v = (-9, 6, 5) (a) Find the projection of u onto v. (b) Fin...

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