4 n n 3 +1)

Q: า es of p is the series below divergent? rect answer below: n=1 (-1)+¹(In (4n+5))²

A: We have to find the value of p such that the given alternating series is divergent.

Q: 1. Compute the length of r(t) = (cos(t), sin(t), In(cos(t))) over the interval 0 ≤ t ≤ 4.

A: As we know that; The length of the curve of a vector-valued function rt=xt,yt,zt is given by:…

Q: eftan tan ¹2 (x) sec² (x) dx we make the substitution To evaluate

A: We can find the required substitution in the below steps.

Q: Find the critical numbers of the function. y-2 y² - 2y + 4 g(y) =

A: Given: gy=y-2y2-2y+4.Formula we will use here for g'y : ddyfg=gdfdy-fdgdyg2.

Q: 4. What is the length of the latus rectum of an ellipse with equation x² + 4y² - 2x - 8y + 1 = 0?

A: Topic = Ellipse As per guidelines , At a time only one question can be answered. please repost for…

Q: Using the integration by parts method, / -13x e ¹+13e ¹+C 13e ¹ + C O 13x e¹ O-13c e 13e+C O 13r e 2…

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Q: Suppose that the length 7, width w, and perimeter P of a rectangle are differentiable functions of…

A: Topic = Derivative

Q: Use the Ratio Test to determine whether the series converges absolutely or diverges. 3(k!)² 5(2k)! 8…

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Q: If f(x) = sin(x¹), find f'(x) Find f'(2) (round to 3 decimal places)

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Q: Suppose that the function graphed below is f'(x), the derivative of f(x). Find the locations of all…

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Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing. Ay 10-…

A: Here we can answer both the question in the below steps using the given graph.

Q: 1 Evaluate lim』→-25 22-4 0-0 ㅇㅇ 이를

A: The expression of the limit is limx→-2+1x2-4 To evaluate: The value of the limit.

Q: > Read over Example 4 carefully. Then show how you decompose the following rational expression into…

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Q: If f(x) = In(x) +6 find f'(1).

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Q: 7x – 4x − X

A: Topic = Integration

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find y(t). O O O y…

A: The given differential equation is; y''-2y'+2y=e-t ; y(0)=0, y'(0)=5.

Q: If lim x→3 f(x)-4 x-1 = 2, then lim f(x) = x →3

A: To find the limit of the function at x=3.

Q: Le symbole sigma pour la somme est une notation standard en mathématiques qui nous permet d'exprimer…

A: Given information (a):-   ∑i=1n f(x1),     (b):-  ∑i=1n f(xi), (c):- ∑i=0n xi ,           (d):-…

Q: Suppose the second derivative of f(x) is given by f" (x) = 35x¹ (x+6)5 (x² + 9). Determine the…

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Q: For y = x7/¹, find the point(s) where the tangent line is horizontal and determine where y' > 0 and…

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Q: Given y = f(u) and u = g(x), find = f'(g(x))g'(x). dy dx y=% U=COS X dx =

A: If y=f(u) and u=g(x) then dydx = f'(g(x))g'(x) .

Q: Find the area of the region included between the parabola py2 = x and the line x + y = p.

A: The solution is given below

Q: Particle Motion from Equation (Level 2) Oct 22, 11:44:25 PM A particle moves along the x-axis so…

A:

Q: An initial investment of $30,000 is made in an account where interest is compounded continuously. If…

A: An initial investment of $30,000 is made in an account where interest is compounded continuously. If…

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A:

Q: 1. What is the length of the latus rectum of a parabola x² - 8x - 20y + 56 = 0?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: lim-→-1 O 0 0-2 0 - 12/1 x²+3-2 x+1 O None of the above =

A: To evaluate the following limit.limx→-1 x2+3-2x+1

Q: GIMME MY MONEY Terry had $6,349 in his Saving account in. He gained 4 % interest per year for t…

A: Here we have to create the equation from given information

Q: 6 For the function f(x,y) = x e 5xy, find fx, fy, fx(1,5), and f,(-1,-1). 'X'

A: Given the function is  fx,y = x6 e5xy.

Q: Find the exact length of the curve. 36y² = (x²-4)³, 2≤x≤9, y20

A:

Q: Find the absolute maximum and minimum of f(x, y) = x² + y² ≤ 16. Please show your answers to at…

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Q: given a price-demand function,  p(x) = −7x + 40,  where x is the number of items made and sold and…

A: Given query is to find the revenue function.

Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

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Q: 1 √₁2²-4 d x² - 4

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Q: Suppose that f(x, y, z) = x²yz - xyz³ is a function of three variables. 1. Find the gradient of f(x,…

A: The objective of the question is determine the gradient at  a point and directional derivative at a…

Q: d Compute the derivative of [tan¹(x)]. dx

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Q: For each of the following pairs of functions f and g, determine if the level curves of the functions…

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Q: First the pieces: dz dx 8z dy da dt dy dt Use the chain rule to find dz dt || || || End result (in…

A: To find derivative of z.

Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

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Q: limx→0 0 O -4 2 -8 2(x-2)² +4(x-2) I None of the above =

A: To evaluate the limit.

Q: Find lim_h(x), if it exists. (If an answer does not exist, enter DNE.) (a) (b) (c) X-8 f(x) = 9x² +…

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Q: Solve the equation. (Give an exact answer. Do not round.) 52-8- 2x-7 6 x= 41/3 X

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Q: Find the slope of the tangent line at the point (1, 1) for the ellipse 9x² + 7y² = 16. y'(1) =

A:

Q: Use implicit differentiation to find y² + 4x³ = 8y - 5x² dy dz z(5+6x) y-4 da X

A: Topic = Derivative

Q: Find the following using the table below. 1 2 3 4 1 3 2 4 4 2 f(x) f'(x) 13 g(x) 23 14 g'(x) 1 2 4 3…

A: Explanation of the answer is as follows

Q: dx dt Please give an exact answer. If z³ = x³ + y², = dy -2, = dt dz dt Provide your answer below:…

A: To find derivative.

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height…

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Q: 1) Find the domain of the function f(x) = √3-x x+4

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Q: Complete the following: In √√√x(y² + z²) = C' ln x + D ln(y² + z²) with C' = and D =

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Q: Suppose that f(x, y) = 3x²y² + 9x² + 7y² then find the discriminant of f.

A: The discriminant of f(x,y) is given by D = fxx fyy - (fxy)2