1) For each of the following tests, give an example and explanation of a specific series formula where the test would be effective, and a specific series formula where the test would not be effective. a. Limit Comparison test b. Integral test c. Ratio test

Q: To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared)…

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Q: (a) cos(8): = √2 2

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

Q: With respect to the curve 2² - 2xy + 3y² = 1, answer the following questions. 1. What is the curve?…

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): lim(2x² – 3x).…

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

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Q: A rectangular piece of cardboard measuring 10 in by 14 in is to be made into a box by cutting equal…

A: The volume of the box is vx=4x3-48x2+140x on the interval 0,5 we have to find its maximum volume…

Q: Determine the x-intercept(s) of the functiony = 4(x + 7)³ − 32

A: To calculate x-intercept, we should plug y=0 in the given equation. Given equation is y=4x+73-32…

Q: question, show all steps so I can understand the problem Use the following property of the definite…

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: Integral Calculus (

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Q: x5 + x4 (5x6 + 6x5)² J dx

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Q: Find the divergence and curl of the vector field F(x, y, z) = (xy — 2², 2x+cos(yz), 2y² - sinz) at…

A: Here we have to find the divergence and curl of given vector field.

Q: Given f(x) = √√x and g(x) = x² - 9, evaluate each expression. (a) f(g(3)) (b) g(f(3)) (c) g(f(0))…

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Q: Plz

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: x-1 lim…

A: We need to find the limit limx→∞ x-12x2-7x

Q: The tangent plane to the graph of at the point where (x, y) = (2, 2) (write the appropriate function…

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Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n

A: Given :an=-1n+12n

Q: Convert the degree measure to radian measure as a multiple of π and as a decimal rounded to three…

A: To convert each degree angle into radians.

Q: Find the centroid of the region bounded by y=x+3 and y=x²-3. O (1.098,1.68) O (0,1.68) O (1.68,…

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Q: y=x² + 8x - 9 -intercept: (x, y) = -intercepts: (x, y) = (x, y) = (smaller x-value) (larger x-value)

A: Given query is to find x and y intercepts.

Q: If L{f(t)}=F(s), evaluate F(2), f(t) = 1 + 2t - (1/3)t4 O 0.75 O 1.25 O 1.50 O 1.0

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Q: please explain how do we answer the question attached. Do we need to use a calculator?

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Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

A: Given-

Q: Consider the implicit function. e' = sin (6x) Determine the formula for in terms of x. dy dx

A: Here we have to find the derivative.

Q: Use a double integral to find the area of the shaded region. -3 -1 π/2 -3 r = 2 cos 20 3

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Q: Let f(x) be defined by f(x) = 3x² + 5x – 40. Let (a, b) be the point on the curve y = f(x) such that…

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Q: 7. The work of an epidemiologist is to investigate the root cause of a disease and determine the…

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Q: -1.0 -0.5 π/2 2 r = 1 + cos 0 0.5 1.0 1.5 2/0

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Q1. If g = xy — yz — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F and…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: 13. A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light —which…

A: We need to find thickness.

Q: Evaluate the function at the given values of the independent variable. Simplify the results. f(x) =…

A: The given function, fx=6x-1

Q: Two bacteria cultures are being studied in a lab. At the start, bacteria A had a population of 60…

A: Topic:- exponential growth function

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 9 x+5. x= Ilm…

A: Let's solve limit.

Q: Determine whether the series 2-√√n +∞o Σ √√n n=1 converges or diverges using the Integral Test.

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Q: 22² +52 + 14 (2-1) ¹ If U(z) = CSScanned with CamScanner 9 evaluate u₂ and uz

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Q: The cost function for a particular product is given by C(x)=0.001x^3 −0.24x^2 +27.9x +110 dollars,…

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Q: 2 + y²

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Q: The Normal line at the point (0, –1, 1) to the 3 surface exy - xy² + z³ = -2 is 7=y+1=² Select one:…

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Q: Evaluate the following definite integral. Express your answer in terms of logarithms. In 9 S In 7 In…

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Q: Evaluate f x²-x-5 x(x²-x-2) dx

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Q: Find a bound on the magnitude of the error if we approximate √2 using the Taylor approximation of…

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Q: Find the general solution of the following differential equation. y"+11y12y = 0 NOTE: Use c, and ce…

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Q: You are making a rectangular box with a square base. Its volume must be 8 ft^3 . Find the dimensions…

A: A rectangular box with a square base. Its volume must be 8 ft3

Q: If the region under the graph of 1 x² y = x² + from x = 1 to x then the volume of the resulting…

A: The objective of the question is determine the volume and choose the correct option.

Q: An $82,000 business can be purchased by making a down payment of $17,000 and financing the balance…

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Q: ขน lim (x,y) → (0,0) x² +10y²

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Q: A loan of $38,800 at 4.39% compounded semi-annually is to be repaid with payments at the end of…

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