Given the series: 1 1 k k+3 k=6 does this series converge or diverge? diverges converges ×

Q: 2) Examine the function (5) y= tan X XI2 1 Now approximate the slope of the tangent at x = 2.…

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Q: 2 Find the point on the sphere x²+ y²+z²=4 farthest from the point (1,-1,1)? ans.i- 2 (금) v i

A: Let the point  on the sphere which at largest distance from the point By using distance formula Let…

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

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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: The Parametric equation of the line that passes through the point A(1, -1, 1) and parallel to the…

A: Given that line passes through the point A(1,−1,1) and parallel to vector v→(1,0,1)To find:…

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

A: If you've any doubt comment below-Explanation:

Q: 10 m₁-m 2 = 5 m₁+ m2 1 Solve for m₁

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Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: Sh​(160,70)≈1.948 sq.ft./lbThis means that the rate at which body surface area increases with…

Q: Find all critical numbers by hand. f(x) = x²-7 x+3

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Q: Question 4 Let f be a function with domain all the reals such that f'(x) = x(x²-1)(x² - 7x+12)…

A: Let a function then the slope of function is given as follows where m is the slope of the tangent…

Q: Please don't provide handwritten solution ...

A: To determine where a function would be concave up or down, first identify the second derivative and…

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

A: equation of tangent is as follows-2x​=−22​1​y−2​=23​1​z−1​Explanation:Step 1:Step 2:Step 3: Step 4:

Q: Calculus One Problem. Please help. Thank you

A: Detailed solution of the problem is attached below,Thank you.Explanation:Detailed explanation:    :

Q: dy Use implicit differentiation to find without first solving for y. dx ,5ry

A:

Q: Calculus 1 Question. Please help   Thank you

A: Ans : dxdy​=6cos6xExplanation:Explanation:

Q: Suppose the following is a sample of the day-by-day change, rounded to the nearest 100 points, in…

A: The objective of the question is to calculate the mean and median of the given sample of changes in…

Q: 4) Find the derivative from FIRST PRINCIPLES of √(x) = 2√x (You will need to rationalize the…

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Q: The function f(x) = 1/x^2+1 is concave down on which interval?  Please use step by step detailed…

A: The objective of this question is to find the interval on which the function f(x) = 1/(x^2+1) is…

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

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Q: 4. [10 pts] The function Am is defined by Am(t) = A+ Blog(x + 10). The graph of the function goes…

A: A = -1.64386A=log20−15log20−7​ B = 6.64386B=log20−12​  Explanation:Step 1: Step 2: Step 3: Step 4:

Q: f'(x) = ƒ' (e³) = f(x) = (ln x)7

A: ∙  f′(x)=x7(lnx)6​∙  f′(e3)=e35103​Explanation:

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: Determine S f'(x) g(x) f(x) g'(x) dx (g(x))²

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

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Question 15a. The initial population is 450.b. The population of the colony at 5 hours is 1725.c.…

Q: Use a half-an le formula to find the exact value of tan 105°. tan 105° = 0 G

A: .

Q: ym 2x²+2x+3 4x-4x

A: The given function is:Find it's horizontal asymptote.

Q: - The Parametric equation of the line that passes through the point A(1, 1, 1) and parallel to the…

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Q: If 0=34°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: Answer is given below :-Explanation:

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

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Q: Given the graph of f(x) below, choose the correct option. A. f(x) is decreasing from A to C   B.…

A: Given:a graph of function f(x) with 4 points on graph A, B, C, and D.To find:behaviour of f(x) over…

Q: Find all solutions to the quation. sin 0 = 2 Write your answer in radians in rms of it, and use the…

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Q: Calculus I May I please have the solution for the following questions? Sketch an accurate graph…

A: Please refer below to get your solutions.Explanation:Sol -> a) Sol -> b) Sol -> c) Sol…

Q: You are told that f(x) is everywhere continuous, passes through the point (8,5) and that f(x)+8 lim…

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Q: Find the equation of the tangent line at the indicated point. R(2)=log, (222-79), z=8

A: R(z)=log7⁡(2z2−79),z=8R′(z)=ddzlog7⁡(2z2−79)Using the Chain…

Q: If then A = || 1 −1 -21 -1 21 1 -2 1 2

A:

Q: #10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find…

A: (a) Equation of tangent plane at point (1,1,1) is: y=1(b) Equation of normal line at the point…

Q: Use the Linear Approximation to estimate Af = f(4.7)- f(5) for f(x)=x -3x². (Use decimal notation.…

A: The given function is

Q: dy dx = dy 33 dx = y = ln 3x14 +1 y = x cos(x)

A: The solution and explanation of the given problem are attached below.Explanation:Step 1:

Q: 8) The volume of the region in the second quadrant bounded above by y=-x3, below by the x-axis and…

A: The objective of this question is to find the volume of the region in the second quadrant bounded…

Q: Calculate the linearization L of f(x) = at x=1. Express your answer in terms of e and x. L(x)=

A: To calculate the linearization of .

Q: Use the linear approximation of f(x, y) = 3x+2y at (0,0) to estimat f(-0.02, 0.03)≈

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Q: Please help with Calculus 1 Problem. Thank you.

A: Please refer below to get your solution.Explanation:Sol)

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The problem involves finding the dimensions of a lidless square-based box with a volume of 4000 cm³…

Q: Westside Energy charges its electric customers a base rate of $8.00 per month, plus 11 per…

A: a). E(x)=8+0.11xif0≤x≤300 300">E(x)=26+0.05xifx>300b). Graph 2 is correct Explanation:

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: 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: Let g(x, y, z) = x³y²z√√√18-x-y-z.

A: The given function is

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: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:Please let me…