Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. 5 n Σ 5 n=0 11n +1 Select the correct answer below and fill in the answer box to complete your choice. A. According to the Divergence Test, the series converges because lim ak = 00441 (Simplify your answer.) B. According to the Divergence Test, the series diverges because lim ak= k→∞ (Simplify your answer.) OC. The Divergence Test is inconclusive because lim ak = k→∞ (Simplify your answer.) D. The Divergence Test is inconclusive because lim ak does not exist. k→∞

Q: = solve (y² + 2y² + ay +18) dx. (5x³y²-x²y + 17x²) dy

A:

Q: / (√² + 21/16) 2√x dx

A:

Q: Write the equation x = -5y^2 in polar coordinates and state values of theta that produce the entire…

A:

Q: Write out the first five terms of the sequence. n/n2 +2

A:

Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A: Given:Distance of the car approaching from the north to the intersection, X=190 m  Distance of the…

Q: =ind. SE S 25453

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

Q: A certain substance decomposes at a rate proportional to the amount present. If one-third of it…

A:

Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

A:

Q: f(x) = x 12r √92²-8 10⁰ f(x) 12 10 f (x) 4.00000002 10¹ 4.01789 10³ 4.0000000002 10² 4.00017 4 10°…

A: Dear user , The question states that you have to (Round your answers to five decimal places.)…

Q: A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it…

A:

Q: G A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y =…

A:

Q: (a) Estimate the area under the graph of the function f(x) = subintervals and right endpoints. Round…

A: The given function is fx=1x+7 from x=0 to x=1

Q: 7 Let f(x) = 8x³ + 5. Find the open intervals on which f is increasing (decreasing). Then determine…

A:

Q: Determine if the expression is meaningful. If it is, state whether the expression represents a…

A: The given expression is ∇×∇f

Q: 20. Verify by differentiation that finx dx = x(In x-1) + C, then use appropriate changes of…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Here we will find dh/dt,

Q: H.w2: Use Runge-Kutta Method with (h= 0.1) to solve the eqaution y" + 3xy'-6y=0 with y (0) = 1,…

A:

Q: Compute the definite integral as the limit of Riemann sums. (4x - 1) dx 47) 1

A: We will be answering the first question as per the guidelines.

Q: If the region occupied by a lamina is symmetric with respect to both the x- and y-axes, then the…

A: Solution: Consider the mass of the lamina ∫∫R ρ(x,y)dA

Q: A business has a cost of C = 0.9x + 500 for producing x units. The average cost per unit is given by…

A: c=0.9x+500

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

A:

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

A:

Q: Evaluate the integral and choose the correct answer. [x²³m.x x² In x dx

A:

Q: The derivative of the function f is defined by ƒ'(x) = (x² + 5) cos (3x). What is the x-coordinate…

A:

Q: The graph of g' is given below: N

A: solution:-(A)g is increasing when g'>0 x∈-6, -4∪-4, 3∪7, ∞(B)g is decreasing when g'<0…

Q: Two sides and an angle are given below. Determine whether the given information results in one…

A:

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: Evaluate the following integral using trigonometric substitution. √√2 S SO 0 √49-x dx What…

A:

Q: Find the limit, if it exists. sin(4x) x Ilm

A: To find the following limit, if it exists.limx→∞ sin 4xx

Q: Using the Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx = xy + y²,…

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {(₁+)⁰} Select the…

A: We have to find the limit of sequence if given sequence is convergent and also we have to find the…

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

A:

Q: ["[" f(2,3) dy dr True False [1 f(x, y) de dy

A:

Q: c) An asset has a scrap value of RM9,500 at the end of 7 years and the book value of RM12,000 at the…

A:

Q: In South Australia (SA), the median hourly earnings for male em- ployees rose from $32.23 in 2019 to…

A:

Q: Solve (5x2y2 O a. b. 2 ln 3 In a In xy² + 17y²) dx (x+2)³(x²+9) y³ |(x+2)³(x²+9) Y - -1 3 tan-¹() =…

A: Given 5x2y2-xy2+17y2dx-x3y+2x2y+9xy+18ydy=0

Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

A:

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!!

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

A:

Q: Use a graphing utility to graph the function. f(x) 8x| x+6 10- 10 10 f f Je wee 10 10 10 Find the…

A: We need to find the graph and horizontal asymptotes of the function.

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

A:

Q: 19. Find each indefinite integral by using appropriate substitution. /etanxsecxdx

A:

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

A:

Q: The volume of a sphere is decreasing at a constant rate of 1515 cubic meters per minute. At the…

A:

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

A:

Q: PO A fence is to be built to enclose a rectangular area of 220 square feet. The fence along three…

A:

Q: Reading Questions: a) According to Part 1 of the Fundamental Theorem of Calculus, which of the…

A:

Q: Use the trapezoidal rule with n = 5to estimate √√√7+y³dy

A:

Q: Find the area of the shaded region. 44) 2) (II/4, 2) TE: II II 2 311 4 y = 2 y = csc²x X

A: