Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive. n Σ(1) L = lim "Tanl = n→∞ (Enter 'inf' for ∞.) ∞ n+11 Σ (111)" is: 4n+8 n=1 A. convergent B. divergent C. The Root Test is inconclusive

Q: Given sin(a)= and a is in quadrant IV and sin(B) = and /2<B<. Use sum and difference formulas to…

A:

Q: Sol:- ➤ For yo y"-2y'+y=e* Homogeneous (e' = 0) op

A: For complementary solution solve homogeneous differential equation.

Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

A:

Q: using an online graphing app, construct three graphs which lie on the interval (-8,8) choose three…

A: The given interval is -8, 8. We have to sketch three graphs on the interval. Let us take functions…

Q: B) Estimate the next root of the function f(x)=x^3-x-1 using Muller method, let x0=1, x1=2, x2=1.5

A: Muller method: The Muller approach is applicable to any root-finding programme, but it is especially…

Q: A 10-foot ladder leans against the side of a building. If the top of the ladder begins to slide down…

A:

Q: 2. Evaluate each of the following limits using the function f(x), defined below. If the limit does…

A: The given function is: f(x)=x+3x2+5x+6

Q: Write the equation of a sine or cosine function to describe the graph. y 0 3- 2- VA 2π 3π 4π 5π

A: The equation of a sine wave is given by:y=Asin(B(x+C))+Dwhere A=amplitudeB=2πperiodC=Horizontal…

Q: 23. Choose the correct answer. A lemon is launched into the air, and its path is recorded by a…

A:

Q: Write the equation of a sine or cosine function to describe the graph. MA

A: This is a problem related to graph of the trigonometric function. Based on the general formula of…

Q: -3.x Solve y" +4y=e¹³*

A:

Q: Part 1 of 5 - Part I Given the set X = {x € R³ : d(x,a) <r}, where d is the usual metric on R³. A…

A: A set is closed iff its complement is open. So a set is not open iff its complement is not closed.

Q: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below. Ty 0 1 nin 1…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A:

Q: y = x² + 2, y = 2x + 5, x=0, x=6

A:

Q: y 8 6 4 2 y = 3x+1 2 J C 4 y = 8 - x 8 CO X

A: Given query is to find the area under the curve.

Q: dx √1+√√x |

A: Given,  ∫dx1+x

Q: Determine as and an for each geometric sequence. See Example 2. 15. a₁ = 5, r=-2 16. a₁ = 8, r=-5 +…

A: geometric series

Q: | 12 – 2 – 1 2x - (x − 1)²(x² + 1) dr

A:

Q: approximate with accuracy 10^3 to the solution of x³+x-4 = 0, lying in the interval [1,4].

A:

Q: ✓ Find the arc length of this portion of the curve. Round your answer to two decimal places. L =…

A:

Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: lim (t i − 4 j + t² k) 1-9 ■im (t i − 4 j + t² k) = i →9 i+ i

A:

Q: Current Attempt in Progress Find the exact arc length of the curve .x = 1 = = √ ( ₁² + 2) ²/² ₁ +…

A:

Q: Find d² y dx² for x³ + y³ = 2 43

A:

Q: 55. the sum of the first 80 positive integers 56. the sum of the first 120 positive integers

A:

Q: Determine whether the integral is improper L' (x-4)-¹dx (A) Not improper (B) Improper

A: We can solve this as follows:

Q: 13-16 Sketch the region whose signed area is represented by the definite integral, and evaluate the…

A:

Q: Use any method to find the Area of domain bounded by curve parametrized by X = cos³t₁ Y = sin³t, 0≤…

A:

Q: Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x +…

A:

Q: A cat darts around a room chasing a ball. The cat first travels along the vector (-1,2) and then…

A: Given ,  A cat darts around a room chasing a ball. the cat first travels along the vector &lt; -1, 2…

Q: Solve for 0 <0 < 2π Separate your answers with commas. 0= sin 40+ sin 50 = 0.

A: Here, the given equation is: sin 4θ+sin 5θ=0...(1)

Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: Find a power series solution of the differential equation y' = 4y

A: We have to find power series solution .

Q: 4. Use cylindrical coordinates to evaluate [!] √²³² + y²dv₁ D where D is the region that lies inside…

A:

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: The plot below represents the function f(x): 8 K + ů 6 3 6. £5 312 1 -1 Evaluate f(1): f(1) = Solve…

A:

Q: The domain (over the real numbers) of the function f(x)=√42-19 is in the form of either (-∞, A] or…

A: Here we have to find the domain of the given function.

Q: 2. Consider the following table of a periodic function h(t). t 0 1 2 3 4 5 h 4.0 5.25 6.165 6.5…

A: hmin =1.5hmax=6.5A)Midline:y= hmax+hmin2y=6.5+1.52y=4B)Amplitude:A=hmax-hmin2A=6.5-1.52A=2.5

Q: Find each limit, if it exists. (a) 6 - 7x lim x-00 6x³2 (b) 6-7x lim x→∞ 6x-2 6-7x2 (c) lim 6x - 2…

A:

Q: y = = Ax is YBC Ycs YBS = 1 -1 0 1 1 0 - D IB XC IS

A:

Q: 4. Compute each of the following definite or indefinite integrals. Show all work toward your answer.…

A:

Q: Question 6 The domain of the function f(x)=√-4x+12 consists of one or more of the following…

A:

Q: 3. Find 4 {0 21 jucosudu } using the properties of Laplace transform.

A:

Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all ^~^ints.…

A:

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 7A…

A: Area of the Rectangle =(Length)(width). Perimeter of the Rectangle=2(length+width).

Q: เก 23 -5-4-3 5

A:

Q: Given the function f(x) = 3x - 7, evaluate and simplify the expressions below. See special…

A: The function is given by fx = 3x-7 To evaluate: The values of fa, fa+h and fa+h-fah

Q: 21 23 (24) EMPR Solve the differential equation by using method of un determined. coefferent;…

A:

Q: Given that the tangent and normal to a curve at point P(x, y) meet the x-axis in A and B…

A: It meets the x axis in A and B respectively and y axis in D and E respectively.To Find: Family of…