Ordinary differential equation ( ey *sin(y)-2y*sin(x) )dx+( ex *cos(y)+2cos(x) )dy = 0

Q: (a) Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = x/2 using four…

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Q: Hello, I had a homework question on this. I know how to solve for common logarithms, but this…

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Q: the solids generated by revolving the region bounded by the graphs of the equations about the given…

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Q: Let f(x)=(x-3)-2. Find all values of c in (2, 5) such that f(5) f(2)= f'(c)(5-2). (Enter your…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 P6(x) =

A: nth Maclaurin polynomial for the function :       Pn(x) =  ∑i=0n fi(0)i!xi = f(0)+f'(0)x + f''(0)…

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Q: 4) 19-17-log₂ (2x+4)

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Q: f(x) = 2x + 3 x 1 1 ; a = 1

A: limx→1+f(x)=limx→1+x2+2                =12+2=3limx→1+f(x)=3

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Q: Evaluate the definite integral. 15t L² (elst i + e i+e¹j+t k dt 1 k)di

A: Here we have to use the concept of definite integral.

Q: Find the arc length L of the graph of r(t). r(t) = t3 i+t L= i j+126t2 k, 3≤t≤6

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Q: y = x(2x+1), y" y = (4x − 3)¹/²2, d³ y dx³

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first…

Q: Convert the Cartesian equation Z z = 6-√√36-x² - y² into spherical coordinates.

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Q: Sketch the region enclosed by the curves x − 5 = 4y and x − 21 = (y – 4)², and compute its area. A

A: The given curves are; x-5=4y and x-21=y-42 Now find the point of intersection between the given…

Q: Find the radius of convergence of the power series. (If you need to use ∞o or -∞o, enter INFINITY or…

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Q: The graph of f(a) shifted right 3 units and shifted down 5 units. Of(r). 3-5 Of(x)= -3+5…

A: Let's find.

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: Using greens theorem

Q: Section B Work out the questions carefully. Show your working in the space provided. 1 Find the area…

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Q: F (y)= 2 y-3

A: The given function is  F(y)=2/(y-3).

Q: Find the indefinite integral. (Use c for the constant of integration.) [₁4 (4t³i + 14tj - 6√tk) dt

A: Here we have to use the concept of the indefinite integration.

Q: Homework: Module 3 HW 16.4 Apply Green's Theorem to evaluate the integral. $(8y +x)dx + (y + 7x)dy…

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Q: 1 sin(x) and cot(x) = is a constant number. Recall that csc(x) = 3 cot(x) The ratio dx csc² (x) (Use…

A: Explanation of the answer is as follows

Q: Find the Taylor series for  f(x)  centered at the given value of a. [Assume that f has a power…

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Q: - · Find y(0-3) for y` =X²+y², y(0)=1 h=0₁1

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Q: Ex. (7) Sol:- Solve y" +y'+y=6sin (2x) ➤ For y y"+y' + y = 0 Homogeneous [6sin (2x)=0] m² +m+1=0 1…

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Q: Evaluating a Definite Integral In Exercises 67-74 evaluate the definite integral. Use a graphing…

A: We want to evaluate the integral.

Q: the vector-valued function.

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Q: 3. To the right is a plot of the line of equality and the Lorenz curve for Poland in the year 2018.…

A: We need to set up integral. NOTE - As per Bartleby's guidelines we can solve one question from…

Q: 3 find the values of az/ax and az/ay xe³+ ye² + 2 lnx-2-3 In 2 = 0, (1, In 2, In 3)

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Q: A car braked with a constant deceleration of 16 ft/s², producing skid marks measuring 50 ft before…

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Q: Compute Each Derivative: 1) d tan¯¹ (1 + e²x) dx 2) x²cos-¹(3x4) d dx 3) x(sin-¹(x))² dx

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Q: If f(3) = 11 and f '(x) ≥ 3 for 3 ≤ x ≤ 7, how small can f(7) possibly be?

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Q: 1. Find f(x) if f'(x)=12x¹+3√x+7-2e -4 and f(1) = 4

A: Given f'x=12x3+3x+7x-2ex-4  and f1=4 To find f(x):

Q: Given: xy =tan(x - y). Find dx/dy. tan² (z-y) soc²(z-v) +tan² (z y) sec (x−y) -sec² (2-y)-z 當…

A: find derivative dxdy from equation xy=tanx-y

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

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Q: Determine whether the ordered pair is a solution of the system. 6) 5x-7y=-21; (7,8) 4x +9y=97

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Q: 2. A closed rectangular box with a volume of 16 ft3 is made from two kinds of materials. The top and…

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Q: b Prove that: f(x) dx = F(x) =F(b)-F(a)

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Q: Find the limit. lim (t i 7 j + t² k) t→5 lim (t i − 7 j + t² k) = i Exact number, no tolerance. i+ i…

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Q: Use calculus to find the exact absolute maximum and minimum values of f(x) = (x² + 2x - 3)² on…

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Q: QUESTION 1 An urn contains 5 white balls and 6 red balls. A second urn contains 8 white balls and 4…

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Q: As you will show, exponential growth functions ekx always dominate power functions x", and power…

A: Given problem:-

Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y=e¹ sin(t), z =…

A: Let's find.

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Calculate the first and second derivative and then go ahead

Q: Find the integral of the following equation integrate cos(x + pi/3) dx

A: Given problem:- Find the integral of the following equation integrate cos(x + pi/3) dx

Q: Consider the following function. f(x) = x¹/⁹ + 8 (a) Find the critical numbers of f. (Enter your…

A: We will apply f'(x) =0 to get critical number.    If f'(x) > 0 for all x in an interval then f(x)…

Q: y-1)dx + (5-2x-y)dy = 0; y(0) = 0, implicit s

A: answer is in next step

Q: (D²+1)y= tan x

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Q: The angle of elevation of the sun is 63°. Find the length of a shadow cast by a person who is 5 feet…

A: Here we have to use the concept of the trigonometric ratios

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

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