Since lim k→+0 (k + 1)!/3k+1 k!/3* k+1 lim k→+∞ 3 +00, k! the series (converges/diverges/inconclusive) by the. test 3k IM:

Q: A rectangle has an area of 198 cm and a perimeter of 58 cm. What are its dimensions? Its length is I...

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Q: Given the data table Years U.S. Population (millions) after 2000 1 285.5 295.5 8. 303 10 0. Use the ...

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Q: (2 x* y? + 4x² y + 2 x y² + xy* + 2 y) dx +2 (y³ + x² y + x) dy = 0

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: CAlculus in Context #3 Math 113 Chapter 3 How does our understanding of derivatives give us insight ...

A: Hello  According to Bartleby guidelines we are supposed to answer only first question so  for rest o...

Q: Find a linear differential operator (of lowest order) that annihilates the given functions: o f(x) =...

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Q: For the next four questions, consider the differential equation y" - y = re +5 Write the complementa...

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Q: 2 3+1 (z2 + 4 )? dx. Which of the following is equal to the given integral? O x 3 +1 = Aæ + Ba? + ( ...

A: given I =∫ x3+1x2+42dxf(x) = x3+1x2+42by method of partial fractions f(x) can be written as\x3+1x2+4...

Q: If f(x)=7+6x−5x^2, find the equation of the line tangent to the curve f(x) at x=4 y = ?

A: We have to find tangent line equation. Given f(x)=7+6x−5x2 and at x=4 we have to find tangent line e...

Q: cos“ (cos x) dx COS CSc x

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Q: A balloon is rising vertically above a level, straight road at a constant rate of 4 ft/sec. Just whe...

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Q: X+ 4x + 3

A: Given query is to eveluate the integral.

Q: 1. Evaluate: e 3z I = dz (ez + e5z)2

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Q: 5. (2xye*³y + y²e*y² + 1)dx + (x²e*²y + 2xye*y² – 2y)dy = 0

A: Recall: If the equation Mdx+Ndy =0 is exact i.e,∂M∂y=∂N∂x , then the solution is                 ∫y ...

Q: get

A: We will find the rate of change of value. 

Q: Find the average value of f (x, y) = 4x cos(wy) over the rectangle R = {(x, y) | 0 < x < T, 0 <y < 2...

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Q: Determine the solution to the second order homogeneous initial value differential equation 1 y"+ 3 y...

A: Topic:- differential equations

Q: 1 Simplify (129 + 121 + i) (i2021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: a. f(x)=eX+_11 1+x2 F(x)= b. r(t)=t(12t+8) R(t)= c. h(m)=2mª+4m3-m m3 where m>0 H(m)= d. s(y)=2Y+4si...

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Q: Iz + 기 b. lim x+ 8 ² +7x - 8) I-8-

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Q: 5. fx6Vex' dx

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Q: solve the differential equation: y(2xy+1)dx+x(1+2xy-x3y3)dy=o

A: Given diffrancial equation y2xy+1dx+x1+2xy-x3y3dy=0Solution :y2xy+1dx+x1+2xy-x3y3dy=02xy2dx+ydx+xdy+...

Q: Solve (x – y)dx + (3x + y)dy = 0 with the condition: y(2) = –1 O (2æ + 4y) – (2x + 4y) ln(2x + 4y) =...

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Q: 2 3x — Зх + 2 (x – 1) (x² + 1) x¯+1

A: SOLUTION-

Q: |r+7| 9. b. lim r-8- x2 + 7x -8, x + 8

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Q: 7. Sketch the graph of y =x' and answer the following: Find f'(x) = Find f"(x) = On what interval(s)...

A: As per our guideline is multiple questions are posted we are supposed to answer only the first one. ...

Q: You are inflating a spherical balloon at the rate of 7 cm³/sec. How fast is it radius increasing whe...

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Q: ak+1 If lim k→+∞ ak = 5, then ak diverges. k=1

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Q: I'y" The expression log| z18 can be written in the form A log(x) + Blog(y) + C log(z) where A = B = ...

A: We can find the answer i.e the value of  A, B &amp; c  as below.

Q: What is the derivative of 2(x)ln(x)+x

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Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: (MULTIPLE CHOICE) Which of the following equations is(are) variable separable? dN + N = dt N dr (A) ...

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Q: Given: sin a= in Quadrant I and cos B= - 13 in Quadrant II; evaluate the following expression sin(a ...

A: We can find the required correct answer as below.

Q: A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second...

A: We have to find quantity of each solution in liters.  

Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x) # 0

A: Let's find. 

Q: 3 4 Sa cos xsin xdx cos

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Q: sin(Tx lim x + 12 In(x – 11) - (Use calculator and write your final answer in the given box)

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Q: e) 1 Σ Vn n=1 3 f) 5 3 п-1 п 8 W

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Q: Problem 6 Consider a market that sells individual marbles. Qs=2+2*P Qd=11-P   A $3 tax on consumers ...

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Q: x y e**y + y² e* v´ +1) dæ + (a? e* v + 2 x y e* v° – 2 y) dy = 0

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Q: 2. Let x+1 r -1 Determine if lim f(x) exists. r-1

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Q: 8) 4xy dy-(y²t1)dx= 0 Y(2)= | ナ

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Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the gi...

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Q: x2+1 2²+1 dx = 0 xe"dy +

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Q: Instruction: Solve the following indefinite integrals. Show complete solutions. 14. | csc(1 + sin? x...

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Q: Solve the following problem related to function. (Show your solution) 4. What is the equation of the...

A: Given, fx=x+1 We have to write the equation of the graph of a function when fx=x+1 Vertically stret...

Q: Enclosing the Largest Area grazing land along the straight portion of a river and then subdivide it ...

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Q: Question 1 - of 15 Step 1 of 1 00:26:06 Find the volume of the solid generated by revolving the regi...

A: Volume

Q: Answer the question below: x+y The student should find the local linear approximation of f(x, y, z) ...

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Q: Write an equation (any form) for the quadratic graphed below: -2- -3 -2 -4 y = 3.

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