Determine if the following series is absolutely convergent, conditionally convergent, or divergent. 00 √√2n +1 Σ(-1)²+¹ n=1

Q: Convert the point (x, y, z) = (2, 4, 1) to spherical coordinates. Give answers as positive values,…

A:

Q: Solve the initial value problem dy dt = 4t + 9t², y(1) = 3.

A: We  will find the required solution of initial value problem.

Q: The series converges. Σ 2( − 1) 1.1-0.2/k○ diverges k=0

A:

Q: Let y = ln(x² + y2). Determine the derivative y' at the point (-√e6-36,6). y'(-Ve6-36) =

A: To determine the derivative of the given function at the specified point.

Q: 2. Evaluate the integrals using area formulas: (a) (b) 10 9-(x-7)² dx (10-2 (10-2|x) dx

A: Given is the question of definite integral.

Q: 2 32 4 5 Graph equations 1-4 on Desmos. Use the graph to complete the other parts of the table.…

A: We know that graph of y=ax2+bx+c is a parabola , it opens upward if a>0 and downward if a<0.…

Q: Convert the angle -17 from degrees to radians. Answer with an exact value and not and approximation.…

A:

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A:

Q: Use Newton's method to approximate a root of the equation 3x² + 6x² +4 = 0 as follows. Let x₁ = 3 be…

A:

Q: III. Find the indicated derivative of each function a) 4+4r- b) w=- 4z +1 3u¹ + 2 u(+2) 1 x²-x+1 c)…

A:

Q: A piece of wire of length L is cut into two parts, one of which is bent into the shape of a square…

A:

Q: III. Find the first derivative of the following functions. Simplify as much as possible sin (r) rcos…

A:

Q: There were 39,000 hardback copies of a certain novel sold before the paperback version was issued.…

A:

Q: 2) Consider the function f(x) = -7x+11. Use basic formulas from Geometry to calculate the Definite…

A:

Q: 3x³ 4x / (3²¹-4-2)=[ X3 dx +C

A: Given query is to find the integral.

Q: For the function, do the following. f(x) = + from a 1 to b = 2. \) Approximate the area under the…

A: The given curve is  f(x)=4x

Q: Find the first derivative f' and the original function f. /' ( - ) = ¹¹ / ( - ) = ( 11, f"(x) =…

A:

Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C

Q: Find the nth Taylor polynomial centered at c. f(x) = In(x), n = 4, c = 4 P4(x)

A: We have to find the nth Taylor polynomial centered at c  f(x) = ln(x), n = 4, c = 4

Q: A company determined that the marginal cost, C'(x) of producing the xth unit of a product is given…

A:

Q: Let F = (9x - 2zx²,4z – xy, 7z²x²). Calculate div (F) and curl (F). (Use symbolic notation and…

A:

Q: Identify the directions field that corresponds to the following day equation y’ = y^2

A: Identify the directions field that corresponds to the following day equation y’ = y^2

Q: 2xy³ + y² + (xy³-2y)y' = 0

A:

Q: 6. [0/0.02 Points] DETAILS MY NOTES X = ASK YOUR TEACHER PREVIOUS ANSWERS Solve the equation. (Enter…

A: Topic:- algebra

Q: (n) lim x-2-√

A:

Q: Find the relative rate of change of the following functions and evaluate them at the given values.…

A:

Q: The graph shows the cubic function f (x) and the polynomial g(x). -10-9-8-7-6-5-4 3-2 f(x) 10 9 87 6…

A:

Q: Determine the sum of the following series. 3)n-1 6n n=1

A:

Q: If 11+2 f(x) + x²(f(x))³ = 0 and f(3) = -1, find f'(3). f'(3) =

A:

Q: Solve the equation. (Enter your answers as a comma-separated list. If an answer does not exist,…

A:

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

A:

Q: 1. Find the area in the first quadrant enclosed by and x = 4, using a vertical element. x² +4 , X =…

A:

Q: Question 2 Solve sinx+cosx=1 for 0≤x≤27 using: (a) The R-Method; (b) The T-Method.

A:

Q: For the sequence an = — 1)" 20 n²

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: how did the operation change right after you equated dA/dL to 0

A: For finding maximum or minimum , firstly find critical point . For critical point , equate first…

Q: Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

A: To find the zeroes of the given function

Q: A restaurant purchased kitchen equipment on January​ 1, 2017. On January​ 1, 2019, the value of the…

A:

Q: Identify the curve by transforming the given polar equation to rectangular equations. Y = 6 3 cos 0…

A: Given query is to find the curves.

Q: Show that sin x < x for all x ∈ (0, 2π).

A:

Q: Question 2 Consider the function f(x) = 2x+52-1. For this function there are four important open…

A: Given function y= f(x).

Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity,…

A:

Q: spherical balloon is being deflated so that its radius is decreasing at a te of 2 cm/min. How…

A:

Q: Test the series below for convergence using the Ratio Test. n + 3 12n+1 = 1 n=

A:

Q: Find the Jacobian J of the transformation T(u, v, w) = (-3u +5v-3w, 2u+4v+3w, 4u+v=4w) = (x, y, z).…

A: Given:- Tu,v,w=-3u+5v-3w,2u+4v+3w,4u+v-4w=x,y,z

Q: Find two numbers whose sum is 33 and whose difference is 11. smaller number larger number

A:

Q: Consider the following table, which shows a data set relating the number of full days hikers spent…

A: First we find the   regression line

Q: Find the coterminal angles (One positive and one negative) Part 1. -420 Part 2. -400 Part 3. 227

A:

Q: Given z = x² + xy², x= uv¹+w², y=u+ve" дz ?u then find: when u = -2, v = -1, w=0

A:

Q: coordinates are giv (a) (7,2π/3) (b) (2,17π/6) (17π/6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…