Find the average value of the function f(x, y) = xy over the triangle with vertices (0, 0), (1,0) and (1, 3). fave

Q: Problem Solving: Prob. 1 A block of mass M = 10 kg is sitting on a surface inclined at angle 0 =…

A: Given that M= 10 kg and coefficient of static friction = 0.5 1. Minimum force necessary to prevent…

Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx (3e)3+cosh2x A +C 2 + 2ln3 (3e)3+cosh2x 2ln3…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: Here we have to find the integral

Q: formula for the sum of the first n terms of a geometric sequence to find the sum of the first 11…

A: Given query is to the sum of the 11 terms

Q: S Given dx, determine all value/values of P for which the improper inte хр A (-∞,1] B {0,1} C…

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Q: Given S dx, determine all value/values of for which the improper integral XP converges? (A) {0,1} B…

A: Please follow the next step.

Q: . The daily amount of smog produced by cars coming into a city is given by y = 2 + 0.01x3/2, where y…

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Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1₁ 3 A unit² ℗ 1/2 B D unit²…

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Q: Solve the integral: Seln(2x² + 3x−4)³ (4x + 3)dx

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Q: Solve the integral: A B с 1 √√x+x √√ Sin/1+x²|+c -In +C 6in|5+ x²|+C с {in/1+x³ |+c C dx

A:

Q: Question 27 9 Let the integral be 'solvable' using trigonometric substitution. What is the correct…

A: A detailed solution is given below.

Q: Question 18 Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)= x² + 2x…

A: Using disc method, volume is evaluated.

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A:

Q: S. S. (x + 2y)dydx = 10, Jo a

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Q: y = 2 sin 3x 1+3cos2x

A: We are given  y= 2sin3x/(1+3cos2x)  We have to compute y'.    Before computing y', let us first see…

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

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Q: The improper integral A 0 B 1 с e D 8 +∞ St 0 ex dx is

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Q: Determine the area bounded by f(x)=x²-x and x-axis. 1 (A) -unit² B -unit² © == unit² C Ⓒ / / unit² D…

A: Find out the area bounded by curves.

Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and…

A: Volume

Q: Use summation notation to write the series -1+2+5+8+11...for 10 terms, then evaluate the sum.

A:

Q: Evaluate [C sin(x + y)dxdy. Answer: 0

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Q: 10 Σ (3n – 1): 125 n=1 10 Σ–1 (3) -1, 125 Σ (3n – 4): 125 10 Ο Σ(3n – 4): 125 Ο Ο O e Θ

A: Verify all the option   then find the sum.

Q: S D dx (x+1) log(x+1) In[log(x+1)] + C Evaluate: A In 10 ® -log B log² (x + 1) + C In 10…

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Q: The function is z = Determine ე3 2 əyəwəx wx²y + xy² + tan (wx)

A: A detailed solution is given below.

Q: (x+1) dx (x+2)(x-1)² 2 3 If 15 S. A B (C) D -10 2 . 9 3 W|N I 93 9 —— 3 =1[₂ = A x + + B x-1 +…

A: See the details solution in below

Q: The general solution of (D²-2D+1)y=2sin x y=C1eX + C>XeX + sinx By=c₁еx+c₂xe* +2sinx Cy=c₁еx+c₂xe* +…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: Given:      fx=x-13       gx=x-1 Volume of solid generated by revolving around the region is…

Q: Evaluate the improper integral A diverges B) 0 с 3 Alu 112²232/3 dx 4

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Q: Evaluate the improper integral A 0 B 2 (C) с D) diverges 3 4 12330² dx

A:

Q: Evaluate the triple integral: A) 12 B) 6 C) 24 D) 18 3 2 1 (x+y+z)dydxdz

A: We have to choose correct option

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A:

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: L(sin 2t cos 2t) Your answer

A:

Q: Given A B U D ₁₁f(x) dx = 0 and 0 1 f²³f(x) 11 6 11 55 6 f(x) dx = 11 6 * evaluate ,0 √3f(x) dx -…

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Q: The general solution of (D³+4D)y=0 is Ay=e*(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁еx+c₂e²x +…

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Q: Solve the integral: A 6√√x +C B + C C D 37 6 3√√√x² √√√3/X 1x|m √x + C dx

A:

Q: If f(x) = A B C -S sec²x D tanx l+et sec 3x √1+1² 1+e' 1+e lanx -dt, then f'(x) equals tanx 1+e In…

A: A detailed solution is given below.

Q: y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other…

Q: How many antiderivatives does a function of the form f(x)=x" have when n0? (A) none (B) may vary…

A: solution

Q: dx Transforming - using miscellaneous substitution will yield to secx + 1 (A) S= -dz 1+z² ® √ ²²+2…

A:

Q: The general solution of (D³-5D²-6D)y=0 is Ay=c₁+c₂е¯x + c3e6x By=c₁ex+c₂e²x + c3e³x Ⓒy=c₁+c₂e²x +…

A:

Q: The improper integral (A) e B) © ⒸO D 1 8 Stoe ex dx is

A: Given that,

Q: Find the area bounded by: f(x)=e*, g(x)=ex and x = 3. A (e³-1)2 e3 sq. units (e²-1)² e² sq. units…

A: Please see the below picture for detailed solution.

Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and g(x) =…

A:

Q: Evaluate the double integral: A B C D m 100 +10 9|N NIG 4 S** 2ydydx 1

A: A detailed solution is given below.

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A:

Q: 1 √√√√√x+x X Solve the integral: S- @ =√² m/1 + x ²³ / + c A C (1) 6in/5+ x ³²³| +C B © ²/³ m/1 + x…

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Q: -Je cosx dx

A:

Q: Q/IF 3= sin(X) (²314) y = 3² sin(x) cos(x) Prove that

A: To find y':