If you apply the direct comparison test to assess convergence of 1 - to which of these series would you compare it? And, what k²Ink is the outcome? 1 A. the series converges ; the series diverges k² 00 1 Β.Σ. Ink k=2 00 1 C. k=2 klnk' 00 1 D. Σ .; the series diverges ; k k=2 OA OB OC OD the seriesconverges

Q: 6- Find the volume of a solid, use the Cylindrical Shells method, which involves rotating the region…

A:

Q: luate the indefinite integral. /x0 dx x(ln (x))6 press numbers in exact form. Use symbolic notation…

A: Topic:- application of integration

Q: 3.) The natural length of a spring is 8 inches. A force of 20 lb stretches the spring to 10 in. Find…

A:

Q: Find the critical values (if any) of the given functions. With solution please.

A:

Q: 2/2 2 sin³(x) dx

A: Here is the solution of the given problem.  To solve the problem we use the following formula:…

Q: . The region is bounded by X = y² and x = 4(y − 2)² Using horizontal rectangles, set – up the…

A:

Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

A:

Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A: To find out the levels of x and y which will maximizes the utility.

Q: 2. The base of a solid is an ellipse whose major axus and minor axis are 12 cm and 8 cm long,…

A: We need to find volume.

Q: Let f(x)= Select the correct description of the one-sided limits of f at x = 0. Choose 1 answer: lim…

A: Above question is solved.

Q: Prove the limit below exists and find its value to 6 digits but replacing n for a large value and…

A:

Q: F(x) = Se* - e*-1 at x = 1 Determine the equation of a line tangent to the curve at x =1

A:

Q: Write the product as a sum or difference: 20 cos(482) sin(162) =

A:

Q: xample following flow field: Find the acceleration u= 2x² + 3y, v=-2xy + 3y² + 3zy, w= at a point…

A:

Q: Determine the critical point/s of f(x) = ln(x² + 4x + 14) on [-4,2]. 0x= -3 Ox=1 0 x = 0. 0x = -2

A:

Q: Find f'(x) where f(x) = x. 2? O f'(x) = 2 (1+x. ln2) O f'(x) = -2 (1+x. ln2) ○ f'(x) = 2 (1-x. In2)…

A: Given :f(x)=x.2x

Q: H.W: show that the equations are homogeneous and solve: 20 2. x² dy + (y² - xy)dx = 0

A:

Q: 3x+5 Find S dx (Using substitution method). √3x-7

A: This question can be solved using the concept of integration by substitution.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² - 6x + 4 lim X→ 2 X-2

A:

Q: 1. f(x) = 3ex +1 2. f(x) = 45x + x45 3. f(x) = 10 sin x + 5 sec x 4. f(x) = x²(2x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Consider the basic macroeconomic model: Y=C+I and C = a + by where Y is GDP, C is consumtion and I…

A:

Q: Find the number in the interval [0,3] such that the difference of its square from its cube is the…

A: Given problem:- Find the number in the interval [0, 2/3] such that the difference of its square from…

Q: Consider the following. [u-5(6 - u³ +4²0) du Simplify the integrand by distributing u¯5 to each…

A: We know that integration power rule is given as - Integration of xn is xn+1/n+1 +C ; here C is…

Q: Find the median of 65 70 65 62 64 73 67 60 50

A: Follow the procedure given below.

Q: C

A:

Q: Given: y² = 2x - 2 bounded by y = x-5. The points of intersection of these two curves are {A}…

A: y2=2x-2 bounded by y=x-5

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number cubed and…

A:

Q: Find f'(x): f(x) = sin(2x) O 4sin (2a) (2 ln 4) cos(2x) O 4sin (2x) (2 cos(2x)) O 4sin (2x) (In 2)…

A:

Q: Find the constant a such that the function is continuous on the entire real line. f(x) = √5x², x ≥ 1…

A: We need to find a.

Q: 4. Let v = (v1, v2, v3), w = (wi, w2, w3) be two non-zero vectors not on the same line in R Suppose…

A: answer is in next step. please give a like !!!

Q: 1. f(x) = x² − 16x, [3, 10] 2. f(x) = 15 – 2x − 2x², [1, 2] 3. f(x) = 2x³ + 3x² − 12x + 24, [−4, 0]

A:

Q: 3. Evaluate 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

A:

Q: The volume generated by revolving about the y-axis the area bounded = 0 and y = 16. by the curve y =…

A: Volume is evaluated.

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

A: Find area of largest rectangle that can be inscribed in a circle.of radius 20cm

Q: How to find a and b for a triangle when I only know that c is 15? (using the pythagorean theorem)

A: Concept: Pythagoras theorem: It states that the addition of the squares of the perpendicular and…

Q: Evaluate the indefinite integral. dx x(ln (x))6 (Express numbers in exact form. Use symbolic…

A:

Q: For the function f whose graph is shown, state the following. (If the limit is infinite, enter '' or…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: Given r(t)= , find the curvature. T

A:

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

A:

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: This question is related to Functions and application of integration, we will solve it using given…

Q: J 6x x +3 dx

A:

Q: integrate [(x csc^2 (2x) - x cos (2x)] dx

A: Given problem:-  ∫ [(x csc2(2x) - xcos(2x)] dx

Q: Show your step-by-step solution. Find all the relative extrema and saddle points, if any, of the…

A: To find out the relative extrema and saddle points.

Q: X xp zo-zXI

A:

Q: Find the normal line to f(x) = ax² - 4ax at x = 3. Assume that a is a positive constant. Next…

A:

Q: T(n) = (n − 1)!

A:

Q: F. Determine whether each linear system is solvable. 4. x = 2 (mod6) 5.x = 2 (mod6) x = 5 (mod9) x =…

A:

Q: 1. Siste dx It sex x

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the derivative: y = x [ln(x) - 1] O ln(x) - 1 о O x ln(x) O In(x) O 1 + In(x)

A: Given y=x[lnx-1]To find dydx:

Q: If you apply the limit comparison test to assess convergence 1 - to which of these series would you…

A: