Use direct comparison test or limit comparison test 00 n = 1 1 + cosn n 2

Q: I need help with number 17.

A: If you're seeing the number 17 often, it might mean your guardians are trying to tell you something.…

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: The given revenue function

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: √x(t) = −3+² -…

A: Therefore, the required answer is x=16−3​y2+89​y−1627​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Let us model the number of automobile sales in a developing country as N(t) 158,000…

A: a) 22899 cars at 2010b) 122566 cars at 2020c) cars sales stabilize at 158000 cars.Explanation:

Q: 1. Find an equation of the tangent plane to the given surface at the specific point. (a) z = x2…

A:

Q: Write out the first five terms of the sequence with, [(1)"] determine whether the sequence…

A:

Q: 2. Consider the region S bounded by the curves 1 y=x+ and y=x- 14 a. x" for x≥1 Is the area of S…

A: The objective of this question is to determine whether the area of the region S bounded by the…

Q: #14. Given the integral SS² y² cos xdxdy (a) Evaluate it. "(with the given order of integration),…

A: a.)∫12​∫02π​​y2cos(x)dxdy=∫12​[y2sin(x)∣x=0x=2π​​]dy=∫12​[y2sin(2π​)−y2sin0)]dy=∫12​[y2⋅1−y2⋅0]dy=∫1…

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y"…

A: given IVP

Q: Find y' by implicit differentiation. cos(x) + √y = 7 y' =

A: Ans: y′=2y​sin(x)Explanation:Solution:Step 1: let's differentiate the equation cos(x)+y​=7…

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The required value of directional derivative is 2.3 ( in decimal). In fraction: Directional…

Q: ← The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis y = √8-x, 2 ≤ X ≤…

A:

Q: please answer the following for me

A: The objective of the question is to find the first five terms of the sequence defined by aₙ =…

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: 2x2​+3x−3ln(x)​+328ln(x−3)​Explanation:

Q: See the function in the image uploaded. Answer a) a) To use a limit and find its horizontal…

A: The objective of the question is to find the horizontal asymptote of the given function y = (2x^2 +…

Q: A construction firm wants to buy a building site and has the choice between three different payment…

A: Since you have at least $67,000 available for a cash payment, option (a) might be initially…

Q: End Find the derivative from FIRST PRINCIPLES of A 3) 3 f(x) = 2x+1 nobonut gniwo

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Q: Find all critical numbers and use the Second Derivative Test to determine all local extrema.…

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Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: The tangent line to the graph y = f(x) at (-4, 7) passes by the point (-1, 13). Find the value of f…

A: The slope of a line passing through the points  is given by the formulaThe Tangent line to a…

Q: Find the exact value of each expression. (a) sin 75° sin 5° = 0 (b) cos 105° - cos 15° = 0

A: Formulas are used for solving this problem:-

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

A:

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

A: x=−1,0,1y=−1Explanation:Given the equation,y=x2−x42+x4​ Solving for horizontal and vertical…

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

A:

Q: Differentiate the function. 이 y=(3x-2) (4-x)4 dy 口 dx

A: To differentiate the following function.

Q: Find X1 and X2- -2 - 4 X1 -2 3 x2 H + 19 -9 3 17 X1 X₂ = 38

A:

Q: For the function f(x) = x^4 -6x^3+1, find the points of inflection.

A:

Q: A. Find the equations of the intersection line between the planes 3x + y z = 2 and x-y+2z = 3

A: Given two equations of planes3x+y−z=2 and x−y+2z=3To find: equations of the intersection line…

Q: 9) A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position.…

A: The objective of this problem is to find the rate of change in the vertical and horizontal positions…

Q: The diagram below illustrates the number of moose (red curve) and wolves (blue curve) between 1960…

A: The diagram below illustrates the number of moose (red curve) and wolves (blue curve) between 1960…

Q: A. Find the equations of the intersection line between the planes 3xyz2 and x-y+2z = 3

A:

Q: Evaluate the integral.

A: 1. 34​π​2. 72π2​​Explanation:1. Given:∫3​1​3​​1+x28​dxFirst we need to take out the constant, we…

Q: Consider Ohm's law, V = IR, where V is the voltage, I is the current, and R is the resistance. Solve…

A: answer is  -0.000155Explanation is given below.Explanation:

Q: In this question you will find a general formula for the following: fx" (In(x))² dx where n is an…

A: The given integral is

Q: 6) The region bounded by y= √x, y=2, x=0 is revolved about the x-axis to generate a solid, its…

A: The objective of this question is to find the volume of the solid generated when the region bounded…

Q: Solve 8 sin ( X 4 for the four smallest positive solutions

A:

Q: Macmillan Learning Determine the critical numbers, if any, of the function f on the interval [1,6].…

A:

Q: The daily cost C' (in dollars) for a manufacturer to produce x electronic video components is given…

A: An increase of $39.44 Thank you  Let me know if you have any doubts Explanation:Step 1:

Q: find the length of the curve  y = 2/3(x^2 +1)^(3/2) from x=3 to x=6

A: The length or arc length of the given curve is 129 units.Explanation:

Q: Vector-valued functions (VVF) VVF Point P t value (for point A) r(t) = ½t²i + √4 − t j + √t + 1k (0,…

A: The objective of the question is to find the domain of the given vector-valued function, find the…

Q: 2x+2x+3 Consider the function (a) To use a limit and find its horizontal asymptote what must be done…

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Q: Evaluate the integral. (Use C for the constant of integration.) cos dx COS -x cos-sin()+C x

A: The given integral is .We can solve this integral by integrating by parts formula method.Integration…

Q: The Taylor series

A:

Q: 1. Compare using the method of volume by disks and volume by shells by completing this problem using…

A: First of all i would like to introduce about the basic background of Mathematics so that you can…

Q: a) Find an equation of the tangent line, at the designated point, to each of the following: i) f(x)…

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Q: Find an equation of the tangent plane at the given point: F(r,s) (32 +21), = - - (2,1) z = Submit…

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

A: a) concave up  DNE    Concave down (-inf , inf)b). DNEc) Relative Maximum x=-1     Relative minimum.…

Q: The random variable X has the probability distribution table shown as follows. X -2 -1 0 1 2 P(X =…

A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the truth value of the statement 'If 9 is not prime…