Find the volume of the solid generated by revolving the shaded region about the given axis. About the y-axis x-2² X= 5- x 에요 128 B 160 с 3 D 256 3 4 π TT TT TT 5 6

Q: Which of the following equations is(are) true? 1 S xdx lim = ( Σ 2+ =1 1 I xdx = - 2 + -2 O None of…

A: Above question is solved.

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² =…

A: Let's find surface area rotated about x=0.

Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.…

A: Given Radius of ferries wheel=30 feets  and wheel complete seven revolution in 14 minutes.

Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

A:

Q: = n²-7n +3 What is the 50th term of the sequence represented by n a n for n ≥ 1?

A: Given sequence, an=n2-7n+3 , n≥1

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny [the Low +¹Y2 ex+y dxdy 0

A: See the details solution in below

Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =

A: Explanation of the answer is as follows

Q: Use the following information to answer the next question The following five statements, numbered 1…

A: Explanation of the answer is as follows

Q: A 30-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: We have to find the limit.

Q: f(x csc² 6x - x cos 6x)dx

A: Given: I=∫xcsc26x-xcos6xdx   As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx And a).…

Q: ’(x)5 or -60 if x0 if x7 ; F^’’(x

A:

Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

A: A tumor in a person's body has a spherical shape and that treatment is causing the radius of the…

Q: f(x)=x2-3,P(4,13) a.find mtan b. Determine an equation of the tangent line at P. c. Plot the graph…

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Q: Basic PDES Which of the following statements is guaranteed to be true? - [cos(y) + y²x] = y2²…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Q4- Solve the following differential equation: (1 + x²)dy + (y − tan−¹(x)) dx = 0 -

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Q: X x² - a² dx

A: To find the value of given integral.

Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

A: This question is based on application of derivative.

Q: Solve the following equation by using LONG DIVISION 6x³5x²49x + 60 = 0

A: Let's solve by using long division.

Q: Integrate by substitution. 2 [x²(x³ +5) dx

A: Given query is to find the integral using substitution.

Q: Solve the initial value problem. y" - 9y" - 400y = 0, y(0) = y'(0) = y(0) = 0, y"(0) = 246

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 50lve the first order ODE UA x'sint - x Cost = -1

A:

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: What is the domain of the function f(x)= |x|? 0 (-∞,∞0) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

A: We need to find domain of given function.

Q: The point P(2,-1) lies on the curve y = Z a. If Q is the point (x,), find the slope of the secant…

A:

Q: Consider the arc L: y = 1+ cosa from (0, 2) to (,¹). of the surface formed when I is revolved about…

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Q: -0.2 e2x sin(x) dx

A:

Q: Solve the systems of equations by using the matrix inverse method. r+s+t+w=4 2r-s+w=2 3r+s-t-w=2…

A:

Q: The exact value of sec 2√3 3 0-2 2√√3 3 c (55) ₁ is 6 02

A: Use trigonometric coordinate syste

Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) (-3,3) 4) 1 O O O O a b n…

A: From the convention of interval notation, We can write: a≤x≤b  as x∈[a,b] which represents x which…

Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

A:

Q: Let f and g be continuous functions such that: [Fox f(x) = 3 And So, determine the value of: [2f(x)…

A:

Q: 6. Evaluate the following limits: 1/3 (x+8) -2 a. lim X x-0 b. lim x→-3 2 x²-9 2x² +7x+3

A: Given :limx→0x+813-2xlimx→-3x2-92x2+7x+3

Q: Find the determinant of the following elementary matrix by inspection. [0 100 1000 E = 0010 0001…

A:

Q: In x Evaluate S 2 x(4-ln² x) O2 ln | 4 - In² x | +C Oln | 4 - ln² x | +C O ln | 4 - In² x | +C Onx…

A: Given ∫lnxx4-ln2xdx

Q: Find the special solution of ele differential equation. = 20x - 4x3 dy dx y with the initial value…

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Q: Define the binary operation in the set of rational numbers as: a*b = ab + a-b Which of the following…

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Q: Consider the following differential equation. (x + 1) + (x + 2)y = 8xe-x dx dy Find the coefficient…

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Q: 1.5+ 1 4 In the figure, is f(x) squeezed by u(x) and 1(x) 2 1. at x = 37 ? 2. at x = 2? IT 14(X)…

A: Concept: Squeeze theorem: Suppose that g(x)≤f(x)≤h(x) for all x close to a but not equal to a.  If…

Q: Find the perimeter of the triangle with ver an isosceles triangle?

A:

Q: Solve for x sin (log2 (13x² + 16x34) = y

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: Use the power series expansion of ƒ(x) = 1 x)²· 1- x for x < 1 to find a power series ex

A: Remember power series expansion for f(x)=11-x; x&lt;1 is  f(x)=11-x=∑k=0∞xk

Q: Let 7(t) = Find 7' (t) T' (t) =<

A: Given, r(t)=&lt;5t4-5,-e2t,-3sin(3t)&gt;

Q: Nx - My M If = Q, where is a function of y only, then the differential equation M + Ny' = 0 has an…

A:

Q: Let 7' (t) = Find a parametric equation of the line tangent to r(t) at the point (59, 0, - 2.303)…

A: Follow the procedure given below.

Q: Find the total area of the region enclosed between the curves: 10x² +24x and =-x³ +10x² 24x

A: The objective is to find the area bounded between the curves.

Q: S tanx It Cosuy dx

A: Topic:- application of integration