Use an appropriate test to determine whether the series converges. Σ k=1 k! 7kk

Q: Evaluate. 2 √2x dx

A: Our Aim is to evaluate the integral given below:-∫022x dx -(i)

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Q: Suppose f'(x) = x4+x³-6x². Determine the value of x where f has a relative minimum value. (A) -2 B)…

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Q: If f(x) = csc(3x), then f'(x) = O-3csc(3x)cot (32)

A: Given query is to find the derivative.

Q: Suppose Evaluate each of the following limits: (a) (c) lim f(x) = -3, x-a lim f(x)]² lim /h(x) x-a…

A: given  limx→af(x)=-3limx→ag(x)=0 and limx→ah(x)=8accorging to bartleby guide line we do only first…

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Q: to go to obtain an increase of Problem 2. Consider the function f(x,y) = y ¹ | ²₁ (a) What is its…

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Q: Question 6. Find the area of the region outside the polar curve r = , but inside r = cos(40). As…

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: To find y in terms of x  first find t from x(t) and then substitute the value of t in y(t).

Q: Find the period, amplitude, and frequency of the following functions. 1. y = 2 sin(3x) 3 2. y = 5…

A: The given functions, 1. y=2sin3x 2. y=5cos34x 3. y=3cos2x We have to find its period, amplitude and…

Q: could you please write the answer properly please and clearly

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: find the average vaim of the function fcx) = x² = 5x + 6 cosx on th Interval [-1, [-1,3].

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Q: Hi, I have torubles lith my homework. f(x) = ln(-x + sqrt(x^2 + 36)) Determine the: 1) D(f), H(f);…

A: Disclaimer: Since you have posted a question with multiple sub parts , we will solve first three…

Q: Let u = -3) and v=(5, -2) and w= = (-6, -4). Fin (2, -3)

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Q: Suppose parametric equations for the line segment between (3, 0) and (4, — 10) have the form: [x(t)…

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Q: dy dx x = h - 2 x (1 - y = x² sin x

A: xdydx-y=x2sinxdydx-1xy=xsinxthis is linear differential queation of first order

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Q: What amount must be set aside now to generate payments of $30,000 at the beginning of each year for…

A: We are required to find Amount that must be set aside now to generate payments of $30,000 at the…

Q: Consider the following parametric curve. Find dv x = sin(4t) + cos(t), y = cos(4t) sin(t) Find the…

A: Consider the following parametric curve.x=sin4t+cost, y=cos4t-sintTo find dydx.To find the value of…

Q: Find the exact value of each of the following under the given conditions. a. cos (α + B) b. sin (x +…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. ≤ 0…

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Q: Determine whether the series is convergent or divergent. In(n) ₂2 n = 2 convergent divergent

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: .) 2 4x S₁ x² +1 dx

A: To evaluate the given integral

Q: Find the indicated value of the function f(x,y,z)=2x-7y² + 3z³ - 5. f(9, -4,3) f(9,- 4,3)=

A: Here is the solution:

Q: Consider the following parametric curve. x = sin(t), y = cos²(t); (√2, 1) Find an equation of the…

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Q: 12. A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to…

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Q: Follow the hint and solve the system.   log(x) + log(y)  =  3 2  2 log(x) − log(y)  =  0…

A: Logarithmic equation

Q: nd an equation of the normal line to the function

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Q: (b) Parametric equations: Rectangular equation: Parametric equations: y=2 sint X || y= 0 11/13x + 4…

A: Ques (a) Rectangular equation: x2+y2=4x2+2sint2=4x2=4-4sin2tx2=41-sin2tx=41-sin2tx=4(cos2tx=2cos(t)…

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Q: 17. 8 Σ n=1 (−1)" x" na η

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Q: Find the area enclosed by the ellipse a cos(t), y = b sin(t) with 0 ≤ t ≤ 2.

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Q: The marginal cost function associated with producing x widgets is given by C'(x) = -0.6x + 100 where…

A: Given query is to find the cost of producing first 100 unit.

Q: Use sigma notation to write the sum. 1 5(4) Σ i = 1 + 2 5(5) + 3 5(6) + + 10 5(13)

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Q: Find dx dy and. dt dt dy. dx x = 6tet, y = 2t + sin(t)

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Q: What is the point ony = 2√x A (2√2.244) B (4,4) (2.2√2) that is nearest to (4, 0)?

A: Topic - Application of differentiations We are given an equation of a curve as y=2xand a point as…

Q: Determine an equation for the plane through the point: P = (-3, -4, -9) which is perpendicular to…

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Q: *32 If 13² ₁ f(x) dx = 18, then compute the value of the following definite integr. f(32/x³) dx 2…

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Q: Estimate the area under the graph of f(x): = rectangles and right endpoints. Rn = Repeat the…

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Q: 5x 2. lim x→+∞ In(2+ex)

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Q: A) At x=-1, y" is negative, concave downward, hence, y (-1) is a relative maximum value. B) At x=3,…

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Q: 2) Solve for x : a) e* = 80 b) 3¹-* = 9²x g2x

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Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

A: The given curve is: x2=cy2

Q: Find the indicated sidex of the triangle ABC given in the graph X = 34° I

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Q: i = (-1,-1, 7) + t (4, −8, 2), -∞ < t < ∞o.

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Q: Let a = -3 [33] 9 105 41 and 6 = b Compute the projection of a onto b and the vector component of a…

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Q: Write a velocity function for mr drygas's car

A: Given the position function of Mr. Drygas's car is given by s(t)=516t2-14t3 , for t=0 to 1 .

Q: 00 Š 00 dx dy (x2 + 64)(y2 + 16)

A:

Q: Find the critical point and the interval on which the given function is increasing or decreasing,…

A: dxndx=nxn-1f(x)=5x2+4for critical points put f'(x)=0