Question 15 The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is revolved about y+1=0. What is the appropriate integral to be used to find the volume of the solid generated? -1 ∞ 7 5 4 3 2 = O - N 3 + 5

Q: 5) The number of 3 - digit numbers with repeats, that are multiples of 5 and less than 600 that can…

A: Permutation is used

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 8 6 2 y=x (6,6)

A: Solve by integration

Q: III. The Auxiliary Equation 1. (4D³-23D³-33D²-17D-3)y=0

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Q: 8. Determine whether the series (-1)" is absolutely convergent, conditionally 7n-5 n=1 convergent,…

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Q: 00 country song NR6) If all of the letters in the word PENCILS are used, the number of arrangements…

A: Given ,  If all of the letters of PENCILS are used, the number of arrangement with all of the…

Q: Solve integration by (udv x cos(x) dx

A: The integration of the integral is xcos(nx) limit 0 to pi/2. Repost the next question.

Q: HOME ASSIGNMENT #01 cosec cosec² x - 2009 A(X) 73. If -dx = - 2009 COS X (B(x)) 20 [0, 2лs (where…

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Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A: This question can be solved using the concept of equation of tangent to a curve at a given point.

Q: Given: c = 8, a = 5, C = 67° C A B с Solve the triangle. (Do not round until the final answer. Round…

A: The Sine rule: asinA=bsinB=csinC   Given: c=8, a=5, ∠c=67°

Q: Write the equation for each requested curve a) Cosine curve with vertical compression of a factor of…

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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Q: 4. Consider the region bounded by x = y² + 4y - 2 and x = 1. The region is revolved about the…

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Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sol: 2L = 2 T qu L = π -41 -2π 4T 27T 21…

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Q: See

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Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at 1=1 is (not that x is…

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Q: Q. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e-t at y(0)=1 and y (0)=2

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Q: Use the second fundamental theorem of calculus to evaluate the following: x, x 20 10. [* f(x) dx if…

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Q: 4. Find the exact length of the curve. π x = 5 cos³ 0, y = 5 sin³ 0, 0≤0≤- 2 Write Answer In…

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Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: cln x e L L ² L the we Evaluate yez dz dx dy.

A: Given problem:-

Q: possible formula for the trigonometric function whose values are in the follo 0 1 2 3 4 5 6 -2 -5 1…

A: Topic:- function

Q: Gas is $5 a gallon. The vehicle gets 20 mpg. Tech makes $30 an hour. He speeds 15 mph over the speed…

A: Gas costs $5/gal  Mileage = 15 miles/gal  Thus, for every 15 miles he will pay $5 if he is not…

Q: 4. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: -. (ex. + Iny + 2) dx + +In+siny) dy = 0 sin y)

A: To solve the given differential equation

Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2 A 128/15…

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Q: Determine whether the series Σ n=1 convergent, or divergent (−1)” 7n-5 is absolutely convergent,…

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Q: Express the function in the form fog. F(x) = (2x + x²)³

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Q: If your get car get 32 miles per gallon, how much does it cost you to drive 30 miles when gasoline…

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Q: Write z₁ and 2₂ in polar form. (Express in radians. Let 0 ≤ 0 < 2π.) Z₁ = √3+1, Z₂ = 1 + √√√3i Z1 =…

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Q: A ferris wheel is 25 meters in diameter and boarded from a platform that is 4 meters above the…

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Q: Find the area bounded by the curve r = 2 - cos Upload Choose a File

A: area

Q: Find the convergence set for the power series, kak O a. (-7,7) O b. {0} O c. [-7,7) O d.\mathbb {R}

A: The given series is kxk/7k.

Q: T Use Wallis' formula: sinº (1) cos² (1) dx

A: Follow the procedure given below.

Q: 5. Let f(x) is even and g(x) is an odd function which satisfies x²f(x) - 2f f(1) + f(2) + f(3) +…

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Q: The graph of y = f(x) is given. 5 4 1 -4-3-2-1 123 -1 324 2 2 -5 -6+ State the value of each limit,…

A: Consider

Q: 2. (yx + xycot x) dx + xdy = 0

A: Given problem:- Find the solution of the following differential equation.  (yx + xycot x) dx + xdy =…

Q: 57. If f(x) = (A) (0,00) fen²x + (n (ex) (n² (ex) dx; f(1) = 0 and g(x) = 1 -f(x). Then the domain…

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Q: For the function f(x) = 2x², find the difference quotient 4a + 2h h 4 a² + h 4 a + 2 h f(a+h) h…

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Q: and

A: We have to find the solution of the given differential equation

Q: Find the area of the surface obtained by revolving the graph of x = y³ on the interval [0,1] about…

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Q: Given the function F(x) = 2x 3 - 6, find the value F(-1). 10 -8 -4

A: Solution is done in step 2

Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2

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Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

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Q: For the following function : 4 • <t<1 - f.(.t.)..==. [² 1<t<2

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Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-

Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sel: 2L = 2πT 4 44 L=# -41 2tr 4T 2TT 21…

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Q: Can u do 6 and 7 . I will rate you thank you

A: step 2 complete solution

Q: y = 2sinx and y = 0 from x = T to x = 4 π 2

A: The given curves are y=2sinx and y=0 from x=-π4 to x=π2. So, the bounded region is as shown below;…

Q: Given: A R= 8√3 1 2 2√3 30° R 4√3 B

A: here right angle triangle is given  so here we apply sine rule to find the R   sinA = opposite…