Find the limit of the following sequence or determine that the sequence diverges. 9/n {0} Select the correct choice below and fill in any answer boxes to complete the choice. A. The limit of the sequence is (Type an exact answer.) B. The sequence diverges.

Q: Find the derivative of the function by the limit process. g(t) = ³ + St g'(t)=3t+5 Submit Answer

A: given       g(t) = t3+5t Derivative of the given function follow this formula   d/dx (xn) = nxn-1…

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

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Q: Question 5 @ (x - 5)3 using the chain rule (generalized power rule) and choose the correct value of…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: Answer both the question11) Find the payment necessary to amortize the loan. Round to the nearest…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as a…

Q: 51. f(x) = √2-3x²; f''(x)

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Q: Let (a) (b) (c) f(x) = log (2 x² + 3) -log(5) - 6 f(1) = The slope of the tangent line to the curve…

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Q: The graph of f(x) is shown (see figure). (a) Find the following limits. L = lim f(x) = x-- √x²+ K =…

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Q: 10. For the position function s=313-72-2t,t> 0, choose the correct answer for 1=2. a) Is s…

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Q: x-4 x→4x²-x-12 Without using L'Hopital's Rule, evalute the limit: lim- Attach File Browse Local…

A: limx→ 4x-4x2-x-12By L'Hopital rule,=limx→ 412x-1Plug in the value x=4=12(4)-1=17

Q: 12. If a graph is concave up on an interval, what happens to the slope of the tangent as you move…

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Q: Find the value of c for which the area enclosed by the curves y = c - x² and y = x² c is equal to…

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Q: the blank(s) provided. 9. The y-intercept of the function f(x)=4(2) is 10. To the nearest hundredth,…

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Q: =ind. SE S 25453

A: Let's find inverse laplace of given function.

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

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Q: =e __j2 =e π = 2 cos 12 +e 2 π How did he get the value inside the circle? It is possible to explain…

A: To explain how did he get the value inside the circle.=e-j23π-e-j3π=e-j23π+ej23π=2 cos 23π

Q: Find the area of the following region. The region inside the inner loop of the limaçon r=4-8 cos 0

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Q: Find the constant a such that the function is continuous on the entire real line. 7sin x 10 11 g(x)…

A: Here we will find the value of a,

Q: Use a graphing utility to complete the table and estimate the limit as x approaches Infinity. Then…

A: The given function is fx=12x9x2-8

Q: Example: find the complex Fourier expansion of the periodic function shown below f(x): = COSX TT --…

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Q: Solve the differential equation below using series methods. (x + 5)y'' - 3xy = 0, y(0) = 4, y'(0) =…

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Q: Find all critical points for f(x)=x²-x² - 2x + 1.

A: Our Aim is to find all the critical points for f(x)=x3-12x2-2x+1 -(i)

Q: A farmer wants to fence a rectangular area of 242 square feet next to a river. Find the length and…

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Q: 50. y = 1/√; y(iv)

A: We can find the 4th derivative as below

Q: III. Eliminate the AC 8. до Gex + сче-х + Сухе аех Cex ·X

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Q: For Questions 1-3, use the differential equation given by y = x, y dy xy dx y > 0. 3. Find the…

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Q: Given the following functions: f(u) = u⁹/2 and g(x) = x¹0 + 1. Find: f(g(x)) f'(u) = f'(g(x)) g'(x)…

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Q: 7. y = e* (e²x + 1)

A: y = e3x + ex  As we know that ddx(eax) = aeax Hence dydx= ddx(e3x) +ddx(ex)                    =…

Q: Find an equation for the hyperbola described. Graph the equation Foci at (4,9) and (8,9); vertex at…

A: Given:        Foci  at 4,9 and 8,9        Vertex at 7,9   The vertices and focus are horizontally…

Q: 11. Sketch the graph of the following function. f(x)= x³-6x² - 9x A x- and y-intercepts

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Q: Tit - 6 [~ (10 - π)_¸ ¯-¡(10mt-1/n) e e 2j x(t)=2 -√ √(10 x (1) = −j/e 1 m² - 7 m)_ - (10 m²- :-) t-…

A: Given Xt=-jej10πt.e-j6π-e-j10πt.ej6π

Q: An airplane has an airspeed of 410 kilometers per hour bearing N45°E. The wind velocity is 70…

A: Given 1. Air speed of airplane Vap=410 KMPH in N45°E 2. Wind speed  Vw=70 KMPH in N30°W

Q: Find the characteristic equation for the matrix 2 (13). and use it to compute M-¹. M

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Q: f"(t) – 4f (t) = sin 2t where f(0) = 1 and f'(0) = -2

A: Given f"t-4ft=sin2t f0=1 and f'0=-2

Q: In which limits below can we use L'Hospital's Rule? lim 818 Olim 848 Olim 48 Olim €8 et X In x e X H…

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Q: Solve the problem. 57) From a thin piece of cardboard 10 in. by 10 in., square corners are cut out…

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Q: Find the limit. (Hint: Let x = 1/t and find the limit as t-ot.) lim 7x tan ep 1 You are asked to…

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Q: the following sequence or determin hat the sequence diverges. 5n 36n² + 1 elect the correct choice…

A: We have sequence  5n36n2+1Let an=5n36n2+1

Q: Find the second derivative of y= b. -x-32 a. -3/2 4/24 C. -5/2 C. thrown vertically upward. The

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Q: g. Let g(x) = log(1 + 2x²). Tick all of the following statements that are true. 00 is in the range…

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Q: Evaluate the following geometric sum. 7 Σ σπκ k = 0 7 Σ σπκ = k = 0 (Type an exact answer, using it…

A: I have stated the used formula in the solution.

Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: The area of a circle is increasing at a constant rate of 88 square meters per second. At the instant…

A: The answer is given below:

Q: 9 Calculate (6x + x²) dx, given the following. 1 9 9 √x² dx = 728 3 1 10 √x²dx=271 3 9 9 1 (6x + x²)…

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx, where a is constant.…

Q: Use logarithmic differentiation to find dy/dx. y=x*-2, x>0 dy dx II Submit Answer

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Q: Consider the function f(x) = -5x² + 2x - 1. f(x) has a critical point at x = A. Find the value of A:…

A: The given function is fx=-5x2+2x-1

Q: дz дz If z = x.f(xy), express x-y in its simplest form.

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 3f'(t) + 2f (t) = t where f(0) = -2

A: Let's solve linear differential equation.

Q: What is the difference between net area and total area from the curve to the x axis? What is the…

A: answer is in next step. please give a like!!