Calculate S3, S4, and S5 and then find the sum for the telescoping series s-(.) S = п+1 n + 2 n=3 where Sk is the partial sum using the first k values of n. S3 S4 = S5 = S = %D

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A: We know about conditionally convergent when series absolutely divergent.

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A: Solve by derivative

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Q: nsider the following function. (x) = 2* -9 (a) Find the critical numbers of f. (Enter your answers a...

A: Topic:- calculus

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Q: 5dx Evaluate the æ(x+1)° O a. Ina + In (æ +1) + 5 +C O b. Ina – In (x + 1) – а. 5(x+1) 1 + C 5(x+1) ...

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Q: Find the sum of the series: п (п - 3) n=5 or conclude that it diverges. A) 0. 11 B) 3. 13 C) D) E) D...

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Q: Evaluate the double integral Jo J-y? dxdy

A: To evaluate: ∫02∫-4-y20dx dy

Q: Find f"(7) given f(x) =- sin(z – 3x) our Answer:

A: Please see the below picture for detailed solution. 

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Q: Solve the initial value problem:  y'= (3x^2)y+2x^2 ; y(0)=1

A: Given problem:- y' =(3x2)y+2x2 , y(0) =1 To find:- Solve the initial value differential equation

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Q: Use the following function to answer the problems below. S(+) = f(r) = (x + 2)² (a) Find the vertica...

A: The point at which the graph of the function changes its direction that is from concave upward to co...

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A: see below the answer and explanation

Q: ve the problem (#1 – 3). Round your answer, if appropriate. 1) One airplane is approaching an airpor...

A: Given query is to find the rate of change of distance between the planes.

Q: Time A solid is formed with a base that is a triangle with vertices at (0,0), (3, 0) and (0, 1). Cro...

A:   y-10-1=x-03-0  y-1=-x3y=1-x3  

Q: Use any method to determine whether the series converge. 1 (a) E k=1 k' + 12k + 1 This series conver...

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Q: Solve the initial value problem. d²y = 2 e -X, y(0) = 0, y'(0) = 4 dx

A: ∫ d2ydx2 =∫ 2 e-x dxdydx=2e-x(-1)+Bdydx=-2e-x+B ...(1)

Q: der the following function. (x) = 9 - |x - 1| (a) Find the critical numbers of f. (Enter your answer...

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

A: Given Series ∑k=1∞ 1kk+2  

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Q: If cotx 12 find the other trigonometric functions

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Q: Identify the vertex, focus, directrix and length of the latus rectum each

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Q: そこfex,y) メニ %u,) yこh(uw)9C1,2)=! 3、(1,2)=4 hいいい2)こと hull,z)=-5 9y CI,2) =-1 Iuci,z)=4 helizj=6 hucli...

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Q: 7. Find the value of p for which the series >(-3)*(p – 5)" is convergent. n=1

A: This series will be convergent  if the  common  ration "r" will be less than 1.

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Q: Solve the given problem below: (2x + y cos x) dx +sinx dy=0

A: We will solve it by exact differential equations method.

Q: Evaluate the following. (Give an exact answer.) (x, y, 2) dS x² + y² + :2 f(x,y,z) : %3D x² + y? S: ...

A: The value of the given integral is 64/9

Q: solve for x the equation 4y = 3x2 + 2x – 5 |

A: 4y=3x2+2x-5y=3x2+2x-54Let f(x)=3x2+2x-54Put f(x)=0 to solve for x

Q: Determine

A: We will find the critical points by equating the derivative to zero. 

Q: Find the equation of a NORMAL LINE in SLOPE-INTERCEPT FORM to the given cu below f (æ) = (x² + 1)* %...

A: Note: The normal line is defined as the line that is perpendicular to the tangent line at the point ...

Q: 2 tan(4x-1)-3 cos²(4x-1) If we let u = 4x – 1 for the S dx, what will be the resulting integrand? co...

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Q: It was determined that the demand equation for a product A is given by x = f(p, q) = 10, 000 − 10p +...

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Q: y = sin (4x+13) find dy 9.

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Q: If you have been hired at an annual salary of $23,000 and expect to receive annual increases of 5%, ...

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Q: 0. Refer to Problem 19: How fast is the circumference of a circular ripple changing when the radius ...

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Q: 4. A probability density function is given by [0, 4, if x 2 1, if x < 1 8(x) = A where A is a positi...

A: We will use properties of pdf( Probability density function) to find value of A.

Q: For the following function ds find the antiderivative s that satisfies the given condition. dt ds -=...

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Q: 6-x Solve the rational inequality x<- Problem 3. 2x-5 Leave your answer in interval notation.

A: Topic = Inequality

Q: Consider the following functlon. f(x) = 4x arctan x (a) Find the critical numbers of f. (Enter your ...

A: Given : f(x) = 4x arctan x So, f'(x) = 4 [ x arctan x ]' Apply Product Rule : [u(x).v(x)]' = u(x).v'...

Q: Find fy(1, 0) and fy(1, 0) and interpret these numbers as slopes for the following equation f(x, y) ...

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Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of ...

A: Given dimensions: The dimensions of the cardboard are 14cm×12cm An open rectangular box is to be con...

Q: Consider the function below. (x) = -2x + 12x3 (a) Find the critical numbers of f. (Enter your answer...

A: The given question has been solved in detail.

Q: Write a polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial with ...

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