Evaluate the limit below. 1 lim (x,y)→(0,0) 1-x2-y?

Q: Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a fun...

A: Solution is written in below steps.

Q: An+1 -to determine if the sequence is strictly increasing or strictly decreasing. Use the ratio 1 5n...

A:   The given series is n5n+7n=1∞ Let the sequence  an=n5n+7. Now, an+1=n+15n+1+7.  

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: I'm currently not understanding how you would do this problem.

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Q: Answer the following questions for the function f(x) = - 8x°- 36x +240x - 11. a. Find formulas for f...

A: derivative

Q: For the binomial series: (1+x)" = 1+ mx + m(m-1) 2! 1 + E m(m-1) k=1 8. %3D laurin series for V1 + x...

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Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: | cos* (;x) dx y =

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Q: Use the formula for the binomial series: m(m-1) m(m-1)---(m-k+1) +.. (1 + x)" 1+ mx + 22 +... + . 2!...

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Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1 t

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Q: Find the radius of convergence and the interval of convergence. k (x + 3)* k=0

A: The summation of (5/7)k (x+3)k ; k from 0 to infinity.

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = | cos* (;x) dx

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Please see the below picture for detailed solution. 

Q: nd the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about = zo and then find the nth Taylor po...

A: Topic:- calculus

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

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Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 101nt y(t) = Vi (a) Cartes...

A: We need to eliminate parameter and find range for a and y.

Q: If §dx = A(B In|2 + x| + D In|2 – x) + C, then the value of 2A(B – D) is

A: This question can be solved by using the concept of some special integrals.

Q: хdу + (у — ху + 2\dx — 0 %3D

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Q: Find the amplitude, period, and horizontal shift of the function. y = -3 sin(6(x +)) amplitude perio...

A: Given query is to find the period amplitude and the horizontal shift.

Q: (2х — Зу + 2)dx - (3x + 4у-5); У-3) %3 4 |

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Q: 9 cos `x sin x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Write the first five terms of the sequence: 11 ln n) +oo Determine whether the sequence converges, a...

A: To write the first five terms of the sequence.11 ln nnn=1+∞To determine whether the sequence converg...

Q: k-1 E () Since the series can be rewritten in the form it is a geometric series with: k=1 a = Give e...

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Q: Find the derivative of the function. g(x) = 2(3 - 8x) g'(x)=

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Q: A particle is moving with acceleration a(t) = 6t + 16. its position at time t = 0 is s(0) = 15 and i...

A: Given: a(t)=6t+16             v(0)=1             s(0)=15we know that v(t)=∫a(t)dt                   ...

Q: INSTRUCTION: USE 7 DECIMAL PLACES The root of the equation is estimated using the point of intersect...

A: To estimate the root using secant method

Q: 4. If x - xy + y = 1, find y 3x a.) x-3y2 c.) d.) ay b.) 1-3y2 3y2. 5. If 3x? +2xy + y? = 1, then y ...

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Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: . 2:(y-x² }tx+dy=0

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Q: A Complete the table. du formula answer 24x+2 1. (2x-1)(3x+2) 2. -dx de 3. 4-S 4-3inin2r 4. xp- sin ...

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Q: A large hotel chain needs to apportion 30 new surfboards for its visitors to rent among three hotels...

A: Given:   Total surfboards = 30 The distribution of surfboards is according to the number of rooms i...

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given, ...

Q: Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If...

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Q: Find the domain of the function H(x) = 2x +3/x3-4x Solve the following (i) |10 - 3x | 13.

A: The given function,  H(x)=2x+3x3-4x Note:    Multiple questions are given, we are answer only one qu...

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = xo and then find the nth Taylor...

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Q: y = cje + c2er

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Q: Determine whether the series converges. Σ 1 k=1 2k – 1 The series converges. The series diverges.

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Q: dx - 7y*; when y=1,x=-1 1. 2. (4+sine*)y' =e*(6sec e* -ycose");y(ln x) = 1/4

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Q: n + 3 n- 1

A: Given query is to find the series converges or diverges.

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Topic:- application of derivatives

Q: y'+2y = e¯*

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: Evaluate the integral. In(10 x 9) dx +C

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Q: f''(x) = 2x + 2 and f'( – 2) = 2 and f(– 2) = 3. Find f'(x) = and find f(2)

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Q: .......

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Q: What is the value of? df where xez+1 da (0), f(x) = %3D 1+e-z Write your answer as an integer or as ...

A: topic - derivative of a function

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = T0 and then find the nth Taylo...

A: The given function 5x; x0=-1

Q: The quantity of a drug, Q mg, present in the body t hours after an injection of the drug is given is...

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Q: JA 1 J 40. f(x) x'+3x + 7

A: Given query is to find the interval where function is increasing and decreasing.

Q: Evaluate the integral J x cot x² sin(in |sin x²l) dx.

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Q: Find f(x)dx if 3. 3 4 f(x)dx = -7 and f(x)dx = 3 0. 4 f(x)dx %D 3

A: topic - definite integral answer is 10

Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =...