1 Given f(x) find the average rate of change of f(x) on the interval [9, 9 + h]. Your answer x + 10 will be an expression involving h.

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. 2. Write the g...

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) n = 4, c = 4 Pa(x) =

A: see below the answer

Q: 7Q b) TR = (Q+3)

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Q: e) y= cos(s" ) f) y= 2sin x

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Q: 2. Let dx be given . If u = e* + 1, then the resulting integral is F(u) du. Compute f(3). (a) 2/3 (b...

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Q: Given the improper integral dr. Which of the following statements is TRUE? A Integral converges to -...

A: We will find the statement which is true for the given integral in the following step.

Q: Find the nth Maclaurin polynomial for the function. f(x) = e, n- 5 Pglx) =

A: f(x)=e-x, n=5 Now P5(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+f''''(0)4!x4+f'''''(0)5!x5 f(x)=e-x,f(0...

Q: Find the Maclaurin polynomials of orders n = 0. 1.2.3, eand 4 and then find the nth Maclaurin polyno...

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Q: 2 tan(4x-1)–3 cos²(4x-1) dy cos(4x-1) 4. If we let u = 4x -1 for the ', what's going to be the resul...

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Q: Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the inte...

A: As per as our guide lines i am supposed to answer only one question .  

Q: Find /| v'e*** - y? when D={(x,y)E R? | x>0,y>0,x² + y?<1}

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Q: 6. Find f(x) so that when w fG) the integral 1+ Inx dx can be tan(f) cot u du. rewritten as (a) x+ 1...

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Q: Portfolio Appeal Constructed Response Task

A: Given  Family decides to spend not more than $20.00 for the week. Each day, The family eats 1/3 of a...

Q: The numerical value of xe*dr is

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Q: au ди 7) ax +и at du ди 3 36 — + 10и if at %3D0) 3 Зе-2х ax ди 8) ax + 10u if (t =

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Q: Let S(x) = 4x$ (x' – 6). Evaluate the following specific values of f: (A)(2) = (B) (4) =

A: The objective of the question is evaluate the values.

Q: (x² + y²)dx – xydy = 0 -

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Q: Mathinik Challenge 1 Guess Me! Identify the following expression as rational or not. Write your answ...

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Q: 5x2 tan(x) Find the following: Let f(x) = sec(x) 1. p' (x)= 2. pr (2)=

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Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;...

Q: The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 14x – 0...

A: Given: The revenue in thousands of dollars from producing x units of an item is modeled by Rx=14x-0....

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions. Express ...

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Q: No

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Q: Use a graphing utility to graph the function and approximate (to two decimal places) any relative mi...

A: Given query is to graph the function using. Graphic utility and find its relative maxi and minimum.

Q: EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x + 3y2 and ...

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Q: Calculate the limit. lim n→o 11n + 20 (Give an exact answer. Use symbolic notation and fractions whe...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 P (X) –

A: Taylor polynomial of 4th order of function fx at a is defined as: fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x...

Q: n+ In (3) Given the sequence Then the limit lim a = a n- 00

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. x) C...

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Q: Which of the following integrals represents the length of the curve y = cos(x), 0 < x < 2n? А. 1+ si...

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Q: c) TR = (/Q5).(InQ)

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Q: 14. If we let u = 4x – 1 for the s²tan(4x-1)-3 cos"(4x-1) dx. what will be the cos(4x-1) resulting f...

A: This is a integration problem

Q: 15. Find the area between the curves x = y? - 4 and x = 8- 2y.

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Q: IQUESTION 1] Consider the graph of y= f (x) shown below. Evaluate each limit or write DNE if the lim...

A: A) limx→-4f(x)=6B)limx→10-f(x)=DNEC)limx→2f(x)=1D)limx→-2f(x)=DNEE) limx→6+f(x)=2F) limx→6+f(x)=2

Q: solution

A: We have to find the derivative of the given function using the rule of derivative

Q: Falco Inc. financed the purchase of a machine with a loan at 3.07% compounded semi- annually. This l...

A: here is total payment after 10 year with interest = 8800*2*10 = $176000 now use compound interest fo...

Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point w...

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Q: Evaluate the integral dx 2xx - 3x?

A: To find: The integral ∫dx 2xx3-3x23 Concept used: ∫1-v2+1dv=lnv+12-lnv-12

Q: Assume that the domain of f is the set A = {–5, –2, 0, 2, 3}. Determine the set of ordered pairs tha...

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Q: A college wants to provide students with a perpetual scholarship of $3,000 at the end of every quart...

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Q: dx x Vx²+2x-1

A: Evaluate the integral∫1xx2+2x-1dx

Q: Express the following as a vector valued function 7 (t). 1. The line L defined by y+3=3x and z+1 =0 ...

A: We will express the line L defined by y+3=3x and z+1=0 hyperbola -x2-2x+2y2+4y=-2 as a vector valued...

Q: Solve the differential equation with approphate method. Express final answer in its simplest form. *...

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Q: 1. Consider the integral | 2'nx g(x) dx . There is a function g(x) such that when u = In x the resul...

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Q: 2 dxdy

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Q: 7. dx For the integral which of the following options is correct? A. lim (x – 1)½ |", + lim (x – 1)½...

A: ere, the given integral is: ∫-12dx(x-1)23 which is an improper integral of type 2 because the integr...

Q: Evaluate the function h(x) = [[x + 9]] for x = –4.

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Q: 16. u du Form Answer .Given: S 10% -dx а) 3 | а" du Find: formula b) | a"du c);| a*du d) =| a"du

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Q: 5. y = - 5 log , (11x - 4) 6. y = 2 log e 4x°3 7. y = 12x² log 8x 8. y = In 25x 5x3

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Q: Find the nth Maclaurin polynomial for the function. 2x - 2 f(x) = n = 4 X +1 Pa(x) =

A: this is the polinomial expansion question in this we use maclaurian transform formula and answer is ...