Find the general soultion of the follwoing equations dy cos x + y = cos²x, dx *+ y = xy/3.

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Q: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36

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Q: Evaluate each definite integral. S f(x) dx y f(x)

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Q: Which of the following statements is true for the function f whose derivative is f'(r) = (x+2)2e? O…

A: f'(x)=(x+2)2e-x

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Q: Find the min and max values of the function f(x) = x^8/3 − 16x^2/3 on the interval [-1,8].

A: Given, f(x)=x8/3-16x2/3

Q: 16. lim (2 – 3x) = –4 %3D

A: Concept: Epsilon-Delta Definition for Limits: The Epsilon-Delta Definition for Limits, also known as…

Q: * Find dy for the following function : xp 2X 2) (3 Sin 2 duccnt f) -(x+2x -x) 1. dax + 2 と2 Sec (xy)…

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Q: Given F(x) below, find F'(x). cos (x) F(x) = (1² + 10) dt 3

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Q: Solve the initial value problem : y +6 y +13 y=0; y (0)=2,y0)=0

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Q: Determine dydx of function g 1 g(x, y) = cos (Tx/T) + log3 (x – y) |

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Q: a S cosh 3xdx 3.

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Q: For the sequence an = an –1 + an – 2 and a1 = 2, a2 = 3, its first term is its second term is its…

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Q: The function (8 , 0 5 has the following Laplace transform, L(f(t)) = 8 f° e-st dt Select one: O True…

A: We have to find the Laplace transform of the given function.

Q: 2s2-s+4 s(s²+4) =4 + Bs+C s²+4

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Q: nP 00 クの In=1 2+n3

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Q: ollowing integrals: 1. cos 2xdx |2x -5/kdx 2.

A: Given∫cos3 2x dx  Substitute u=2x→dudx=2→dx=12du =12∫cos3(u) du ∫cos3 (u) du preparation for…

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Q: Which of the following statements is true about the function f(x) = 6x2- x? O a. The graph of f is…

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Q: 1. Find the approximate area of the region bounded by the curves (x) and g(x) = x* - x. Give + 1…

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Q: Sketch a 30 – 60 – 90 triangles below. Include the angle measures. The shorter leg measures 1/2 cm…

A: Sketch a 30 – 60 – 90 triangles below. Include the angle measures. The shorter leg measures 1/2 cm…

Q: Let f(r, y) = - 4

A: This is a problem related to function calculation. Based on the formula and concept we will find the…

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Q: Show that the function f defined by (x, y) = (1, – 1) f (x, y) : x2 + Y (x, y) + (1, – 1) x + y is…

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Q: -8 dx Se-2-7 10.

A: Solving

Q: Solve f (5x + 6)eª dx using Integration by Parts. Use u = 5x + 6 and v' = e".

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Q: Question #5 C11: "Related Rates." A man starts walking south at 5 ft/s from a point P. Thirty minute…

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Q: 34 Find the measures of both angles a and b in the following figure: 38 Find the measure of angle c:…

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Q: Q2 Find the area of the regien bounded by the following curves -4x . y? = 3 - x and y = %3D

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Q: Suppose the population of spiders in a sanctuary grows exponentially. After one day, 
there were 50…

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Q: I want to research any topic of operations research

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Q: Evaluate the following integrals: |cos 2xdx |2 x – 5kdx - 1. 2.

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Q: b) Is the series is convergent n2 + Vn2 + 33n + 10 n=1 or divergent? justify your answers.

A: Limit Comparison Test : Suppose we have two positive term series ∑ an and ∑bn .And suppose that  L=…

Q: Use the Table of Laplace Iransform fo find the Laplace Transfom of the given function. a. te-3t +…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: 3"n2 is n! Zn=1 а. 1 b. 0 c. Diverge с. d. Converge d O b

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Q: Write an equation of the line parallel to x+8y=0​, such that the point ​(7​,9​) is on the line.…

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Q: The velocity of an object is given by v= (t+1)% The position, s, at any time, t, if s = 1 V = when t…

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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Q: For the list of degrees below: degree Ahmed 66 name Ali 90 Mona 45 Salma 76 Karim 78 Use…

A: As per our guidelines we are supposed to answer only 3 sub-parts. Kindly repost others. Thank you…

Q: 25. y x', y = 2- x|

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Q: Find the length of the arc y =: 8 1 from X = 1 tox = 4. 4x?

A: Graph: Given: y=x48+14x2. So,          y'=x48+14x2' =x32-12x3.

Q: Find the radius of convergence and the interval of convergence of the series. n!x" 1.3.5 ... (2n –…

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Q: Find the derivative of the function at Po in the direction of A. h(x, y, z) = cos xy + e + In zx,…

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Q: The correct choice to draw lines from point (160,120) to point (160,250) is 40,250 160,250 260,250…

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Q: (x-4)2 (y+1)² Problem #4: Find the slope of the line tangent to the conic section 16 = 1 at (4,6)).…

A: We can find the slope to the conic section at the given point as below.

Q: Hemegeneus y= JーX

A: