Find the general Solution of: 2² dy dx = x² x e

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: Evaluate the line integral, where C is the given curve. Scx³ y³ ds, ds, C: x = t³, y=t, 0≤t≤3

A: given line integral to evalute

Q: Evaluate the following. √6 / (x - 5y + 2) ds S S: z = 11 - 6x + 8y, 0 ≤ x ≤ 5,0 ≤ y ≤ 1

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Q: Find the value of k that makes the antidifferentation formula true [ (4x +1) 7 dx 4x + 1) ² dx = k (…

A: Integration helps to find the value of k.

Q: Use power series operations to find the Taylor series at x = 0 for the following function. XCOS TX

A: f(x)=xcos⁡πx

Q: Kevin needs to find the length of the arc of the given curve. He is struggling. Please help him by…

A: given curve

Q: Congratulations! your answer is correct (and saved). Check Answer/Save Step-By-Step Example Find…

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Q: lim f(x) where f(x) = x→1+ X, x ≤1 1-x, x>1'

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Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

A: Given that A rectangle ABCD is contained in the unit circle (circle centered at the origin with…

Q: Find a function f(x) such that f'(x) = − 5eª + 3x and ƒ(0) : = f(x) = - 1

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Q: Given. [₁3 Evaluate. 3x√x² +9dx = 10√10 - 27 [₁³ 3u√u² +9du

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Q: Using the graph of 5 + cos(7x), for 0 ≤ x ≤ 3³7, list the following quantities in increasing order:…

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Q: Find the orthogonal trajectories of the family of curves y² = kx³

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 4! 1-3-5-1-3-5-7…

A: The ratio test states that

Q: Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the…

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Q: :) = yzi + xzj + xyk _: r₁(t) = ti + 2j + tk, 0 ≤ t ≤ 4 _: r₂(t) = t²¡ + tj + t²k, 0≤t≤2

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by fat x = a. 1 f(x) = -— , a=3 X…

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Q: 16 [FIX, F(x, f(x, y, z) ds. S Evaluate f(x, y) = 7y - x S: r(u, v) = cos(u)i + sin(u)j + vk π us T,…

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Q: d). 1 0 0 0 1 6 -6 » e). 10 11 017 f). 10-5 01 1 0 1 000

A: Row echelon formA matrix is said to be in row echelon form ifi) All rows have zero at the bottom ii)…

Q: 1 x + 1 rectangles and right endpoints as sample points. Rn 0.6345 Estimate the area under the graph…

A: ;

Q: A. B. Explain how you could use the graph of y=x² to graph -1 y=x². Sketch the graph of y=x².

A: graph of  from

Q: EASE could you shed a litttle bit more light on how you got the critical numbers

A: So, f'(x)=0 gives us

Q: f(x) = 2 +7 cos(x), 0 ≤ x ≤ 2π

A: The given function is

Q: Provide an appropriate response. Divide the interval [0, 8] into four equal subintervals and draw in…

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Q: The average value of v(x) equals 2 for 1 ≤ x ≤ 3, and equals 6 for 3 ≤ x ≤ 11. Find 11 ["v v(x)dx 72…

A: The average value of  equals 2 for , and equals 6 for .To find .

Q: g. Σ. (3) n2 in=1 72

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Q: For t> 0 hours, let r(t) = 120 (1 - e 5 liters/hour hour, at which a car travels along a straight…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: The given function is The linear approximation at  is The quadratic approximation at  is

Q: A square-shaped sheet of ice is growing as time passes. If the sheet of ice is always in the shape…

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Q: 2. Sketch the graph of the quadratic y=- =-2(x+3)² +8 by using a series of transformations. Show all…

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Q: A table of values of an increasing function fis shown. Use the table to find lower and upper…

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Q: Evaluate the integral: /9 - x² = dx (A) Which trig substitution is correct for this integral? 0x = 9…

A: Given indefinite integral is

Q: PRACTICE vested at a rate of r = 6% compounded annually, monthly, daily, and continuously. (Round…

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Q: 6) Show that=1

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Q: Consider the following. u =(4,-1,0) v = (-8, 9, 0) Find u x v. Determine if u x v is orthogonal to…

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Q: Find the critical points of ƒ(x,y) = (x³y - y³) 5

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Q: Prove that if g has an extremum value at x = c then f must have a tangent line parallel to the line…

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Q: Find all functions f(x) such that 7x f'(x) - and f (0)

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Q: Compute the line integral [(x+y)dx-xdy, where C is the arc of the parabola y = x² +1 that goes from…

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = x + 1/ interval [0.2,…

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Q: In the following exercise, given that 1 1-x = ∞ Σa x" for x < 1, n=0 use term-by-term…

A: Power series.

Q: Compute the area of the surface obtained by rotating the curve y = 1+ 2x², 0 ≤ x ≤1

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Q: 4y" +16y' + 17y= 0, when y = 1, x = 0; y = 0, x=n

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Q: 1) Calculate: 10 110x dx using left Riemann sum with 4 equal subintervals

A: given information

Q: Question 7 Use first (a) (b) principles to find the derivative of f(x) = x² + x f(x) = -√√x

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Q: Let Find the values of a and b so that f will be differentiable at x = 5. a = b = i √(x) = {2x²+ A…

A: We have been given a piecewise function.. We have to find the values of a and b so that f is…

Q: A box is to be made out of a piece of cardboard 6 meters by 16 meters. Squares of equal size will be…

A: A box is to be made out of a piece of cardbord  meters by  meters. Squares of equal size will be cut…

Q: Find /( - 32² + 02 - 3³ + √²) dz 6 3x6 x6

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Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

A: A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

Q: Determine whether I 5Mm Converges or diverges. If 6 7m m=2 Converges, find its sum

A: Geometric Series∑n=1∞a⋅rn−1 Converges if and only if −1&lt;r&lt;1∑n=1∞a⋅rn−1=a1−r