3. ∞ Does the series (-1)+1 converge absolutely, converge conditionally, or diverge? 6 n +4 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. n=1 with Σ O F. A. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. B. The series diverges because the limit used in the nth-Term Test is not zero. OC. The series converges absolutely because the limit used in the nth-Term Test is 3 D. The series converges conditionally per the Alternating Series Test and the Comparison Test 8 1 n n=1 n 3. O E. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is The series converges absolutely per the Comparison Test with ∞ ³w|- n=1 n

Q: 4. Find dy/dx, where y(x) is an implicit function defined by x² cos y-y² sin x = 0

A:

Q: If   C(t)=71.4te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A: The concentration of drug in a person's system is given by the function:C(t)=71.4e-0.4t

Q: 2 Given Cost and Revenue functions C(q) =q³ - 8q² +55q+5000 and R(q) = -3q² +2400q, what costs…

A: Given: Cost function  C(q)=q3-8q2+55q+5000 Revenue function: R(q)=-3q2+2400q To find: The costs…

Q: Js sin 4x sin 2xdx

A: To solve the following problem

Q: Find parametric equations for the tangent line at the point (cos (π), sin (π), ) on the curve x = =…

A: We can find the equation of the tangent line using derivatives.

Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we need to…

Q: 3. Find an equation for the surface obtained by rotating (a) the ellipse x² + 4y² = 4, z = 0, about…

A:

Q: A manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 4…

A:

Q: Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve. x…

A:

Q: The graph of a twice-differentiable function is shown in Which one of the following sets of…

A: Please see the below picture for detailed solution.

Q: Consider the following. h(x) = ex²_ Find h '(x). h'(x) = 2xe+² Solve h'(x) = 0 for x. X = h(0) =…

A: The given function is: hx=ex2-9 Use the Chain rule: fgx'=f'gx·g'x And Power law: ddxxn=nxn-1

Q: The following table gives the percentage, P, of households with a television set that also have a…

A:

Q: шипа сотрайт lyst, ехатіть the сотоядет се д TV 2 sx dx VE

A: Given :∫0π2cosxxdx

Q: Suppose fand g are differentiable functions with the values shown below. f(3) = 6 f'(3) = 7 g(3) = 4…

A:

Q: ^ = [1 ² -1 ] B-[-2] 1. Find the size of A, B, and C matrices. 2. Find the pairs of matrices that…

A:

Q: Solve the boundary-value y(x) = problem. y" + 18y' + 81y = 0 y(0) = 0 y(1) = 8

A: given  y''+18y'+81y=0given  y(0)=0y(1)=8

Q: Let f(x) = 2x². a) Find the linearization L(x) of f at a = 4. b) Use the linearization to…

A: Let fx=2x2 (a) To find the linearization Lx of f at a=4. (b) By using linearization to approximate…

Q: Q4.6 If p(x) = tan (sin² (x)e"), then p'(x) = O e (2 sin (x) + sin²(x)) cos² (x) O e* (2 tan (x) +…

A:

Q: | dy dx sin √√x √y

A:

Q: 3. Find AxB 4. Find BxA 5. Find CXA 6. Find AxC 7. Find the determinant of B.

A:

Q: ermine the intervals on which the graph of y f(x) = 9x² + x4 concave up or concave down, and find…

A:

Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…

A: The solution is shown below- As per company guidelines only one question is allowed to answer at…

Q: q(x) = 1 x² + 3 on [-4,2]

A:

Q: Find the nominal interest rate that yields an effective interest rate of 7%/year compounded…

A: ⇒i0=1+rnn-1⇒i0=Effective annual interest rate ⇒r=nominal interest rate per year⇒n=number of interest…

Q: 22. Two geometric means are inserted between 9 and 1944 so the four numbers form a geometric…

A:

Q: Let f(x) = 4x² + 10x - 5. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

A: To find equation of tangent line

Q: You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular…

A:

Q: 5. Determine an equation of a line that lies directly on the plane: answer). 3x+4y+5z-29=0. (Justify…

A:

Q: based on the following table, which lists interest rates on long-term investments (based on 10-year…

A: By formula, Amount after t years with Compound interest is A = P(1+R/100)t Where  A:- Amount after t…

Q: Q4.3 If f(x) = O 10 16 22 ооо 16 O 5 8 11 O 4x + 1 x² - 5' then f'(-1) = 8 O None of the above.

A:

Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…

A:

Q: Crude oil imports to one country from another for 2009-2013 could be approximated by the following…

A:

Q: For any constant a, let g(x) = ax - (a) What is the x-intercept g(x)? X = (b) Find g '(x) = (c) For…

A:

Q: Write an iterated integral for a. vertical cross-sections, b. horizontal cross-sections. da dA over…

A: We have to find the  Iterated integral for vertical cross section and horizontal cross section.

Q: Sketch the region in the first quadrant enclosed by y = 5/x, y = 4x, and y = 2. Decide whether to…

A:

Q: ← Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Note:- This is multiple subparts and we can do only 3 subparts so i am solving here first 3 sub…

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A:

Q: NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for ∞ and '-INF' for -∞.…

A:

Q: Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve. x…

A: Please see the below picture for detailed solution.

Q: Find the derivative of the function. Simplify you answer. 72³ 3x - 8 y

A:

Q: Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and…

A: NOTE: Refresh your page if you can't see any equations. . x=number of quarts of creamy vanilla…

Q: 1. The diagram shown AFB and BEC are equilateral triangles and AGDC is a rectangle. Write the…

A:

Q: Find an equation of the tangent line to the graph of the function f defined by the following…

A:

Q: f(x) = -3 sin T2 - 2bx² x -2 x 3x² + e²

A: Please see the below picture for detailed solution.

Q: Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval,…

A: The given function: rx=x-5 on -12,8.

Q: Consider the line 7 = 67 +37 +1 (47 + 7 + 3k) and the plane x + y + z = 1. X Incorrect. (a) Where…

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A:

Q: Find by implicit differentiation. dy dx dy dx 11 3x² + y² = 4

A: Please see the below picture for detailed solution.

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Given that: Distance travelled between 10:17 to 10:55 am = 39 milesSpeed limit = 70 mph

Q: Q4.4 If w(s) = (s² - √s) (s - s²), then w' (1) 01 00 0-1 O-3/2 None of the above. =

A: We need to find the derivative of the function at indicated value.