The p-test says that: • if p < 1 then the series ● if p = 1 then the series • if p > 1 then the series ● 8T8 T8 T * * * * * * Select an answer Select an answer Select an answer

Q: A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in…

A: The marginal profit function is,Where x is the number of tickets.

Q: 3. In the warm-up to Module 8 Part 1, we came up with the first several terms of the dragon curve…

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Q: {), B=(1 3³), - ( 1² ) 2 0 0 00 2 -2 C = If a calculation is invalid or the result does not exist,…

A: 4) B=[0 -3           1 0]5) C= [2 1 0           0 1 -2           0 0 2]

Q: Suppose that p(x) = anx" converges on (-1, 1], find the interval of convergence of p(6x - 4) . x= to…

A: If a series P(x) converges on the interval (−1,1], we can determine the interval on which the power…

Q: True or false: If f is differentiable at a, then it is necessarily true that f(a+h)-f(a) h f'(a) =…

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Q: Find the Taylor approximations of order two for the following functions: The CES production function…

A: Given, the CES production function with kapital K and labour L :  Q(K, L) = ( (1/2)K(-1/4) +…

Q: Simplify the expression completely. −1 - 4√-125 + √64+2√9

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Q: Graph the following quadratic function: f(x)=x²-8x+12 Along with the graph, provide the following: •…

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Q: Answer the following questions about the sphere whose equation is given by 1. Find the radius of the…

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Q: Find F '(x). F'(x) = F(x) = 14 3 √ sin(x) 7 √t dt 0 -sin 3 2 dt

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Q: 1 - 3i З 1 + 2i

A: To simplify the following expression.

Q: The function P(x) = -2.5x² + 775x - 9500 gives the profit when x units of a certain product are…

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Q: Evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: 13. Σ n-2 -1. In n

A: Given a series  thenThe given series is convergent if p&gt;1The given series is divergent if

Q: This exercise is based on the following table, which lists interest rates on long-term investments…

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Q: Consider the indefinite integral The integrand decomposes into the form ax + b + where a = b = C =…

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Q: f(x) = 9(x − 4)²/³. 2/3 -

A: f(x)=9(x−4)2/3Using the power Ruleddxxn=nxn−1

Q: d-L question

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Let lim g(x) x 4 = 8_and_lim h(x) = 8 x 4 Determine the value of the limit 2 lim [g(x) - 3]² x→4…

A: Given that To find:-

Q: Test the series below for convergence using the Ratio Test. n4 0.82 n=1 The limit of the ratio test…

A: The power series is given byRatio test:

Q: Calculate the tangent plane for the function f(x, y, z) = ecos(x)+sin(y+z) at the point (7,0,0).

A: To calculate the tangent plane for the function  at the point .

Q: Submit Answer Home My Assignments Request Extension

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Consider the function

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

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Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

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Q: Suppose that the distances and y are changing with respect to time and satisfy the equation x² + y²…

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Q: Find the average value of the function f(x)=x²-11 on [0,6]. 2 The average value of the function f(x)…

A: Function:Interval:[0,6]

Q: ₂2 Find the derivative of f(x) = ln ( ² sin x 2x+1 2 2 O f'(x) = + sinx - 241 x 2x+1 o f'(x) 2 X = =…

A: f(x)=ln[x2sinx/(2x+1)].

Q: Write radical form. -54 in simplest

A: Given that expression  we have to find the radical form of the given expression

Q: Find f such that f'(x) = 4x² + 3x-3 and f(0) = 9.

A: (1) f′(x)=4x2+3x−3f(x)=∫f′(x)dxf(x)=∫(4x2+3x−3)dxUsing the Power Rule∫xndx=xn+1n+1+C

Q: For the given cost function C(x) = 14400 + 300x + x²,

A: C(x)=14400+300x+x2

Q: 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 N -3 -4 -5 -6 1 2 3 4 5 6 7

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 sin(x) + 3 cos(x),…

A: Consider the function (a) The intervals on which the function is increasing or decreasing can be…

Q: Find the first partial derivatives of the function. || f(x, y) = gy

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Q: m 4. Consider sin x cos" xdx. (a) How do you evaluate fsin" x cos" xdx if m is odd? (b) What if n is…

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Q: The sum of two non-negative numbers X and Y is 15. Determine the values of X and Y that minimize the…

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Q: Question 3.52) Consider the curves y = f(x)=x² and y= g(x)=(x-2)² -2. Find the acute angle of…

A: Set the two functions equal to each other and solve for x:x^2 = (x - 2)^2 - 2Expand and simplify the…

Q: Use the given transformation to evaluate the integral. JS 2x² dA, where R is the region bounded by…

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Q: ints) Determine if the improper integral is convergent or divergent. Eval- e integral if it is…

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Q: 47. lim- v-3 48. lim y-2 49, lim x-2 v-1-√²-5 v 3 y²+y-6 50. lim x 2 50 51. lim x18 8-y²-y x² - 4x +…

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Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t…

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Q: In preparation for the next problem, find the derivative of the EXPONENTIAL function. (This does NOT…

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Q: Consider the function: ƒ(x) = x³ + 1⁄2 x² − 24 x +7. At which a-value(s) do the local maxima/minima…

A: The function is given byTo determine: The values of x at which the local maxima/minima…

Q: GIVEN SERIE P-SERIES TEST a.) हैल n=0 J|f 4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Calculate the first partial derivatives of f(x, y, z) = x²y²log(z) + zexty.

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Q: Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula…

A: Given: (a) If , then to find .(b) If , then to find .Note: Since the student has posted multiple…

Q: Let lim g(x) = -3 and lim h(x) = = 4 x-4 x+4 Determine the value of the limit lim [3+√√xh(x)] 2-4

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Q: Find the absolute maximum and minimum points of f(x) = In (5x2 - 5x+3) in the interval x = [0,2].…

A: To find the absolute max and absolute min, we have to check the values of f(x) at the endpoints and…

Q: Determine the exact values of each expression for the given value of 0. Do not use a calculator.…

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Q: Examine the graph shown. Estimate the value c guaranteed by the Mean Value Theorem, and also f'(c),…

A: Given graph of function