Find the volumes of the solids generated by revolving the region about the given line Use the Disk/Washer method to find the volume of the solid created by rotating the region bounded by y = x² - 4, x = -2, and x = 2 about the line y = 2

Q: The height of each rectangle is given by the value of the function, f(x) = 5x − x2, at the…

A: Explained below

Q: b. Find the values of dz/8x and dz/dy for the following expression: xe+ ye² + 2 lnx - 2 - 3 ln 2 =…

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Q: y = x³ + 1 (x (x² 2 3 x + 3 -1 - 2x + 1)

A: The given function,      y=x3+1x3+3x2-2x-1+1

Q: Solve for y + In lyl at x=6: y'=(yx^2 - y)/(y+1); y(3) = -1 4.5

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Q: Find the solution of the given ODE. (6x² - 7y2) dx - 14xydy = 0 2x³ - 7xy² = C 3x² - 14xy² = C O…

A: Given problem:- Find the solution of the given ODE.   (6x2 - 7y2) dx - 14xydy = 0

Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4) ; y(2)=4 Use 2 decimal places

A: Here we have to solve the given differential equation

Q: If f(x) = -1/2 then f(³)(x) = , A O 2 2:3 O O 6 2 ການ 6 x4

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Q: The equation (y")^2 + (y)^5 - 7 = 0 is O Nonlinear homogeneous linear homogeneous linear non…

A: See the details solution in below

Q: A tank contains 80 gallons (gal) of pure water. A brine solution with 2lb/gal of salt enters at 2…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

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Q: x=y² - 4y and x=2y-y². (-3,3) -4 -3.5 -3 x=y² - 4y -2.5 -2 X= = 2y-y² -1.5 -0.5 2.5 1.5 1 0.5

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Q: Question A university projects that enrollments ale decline as the pool for begins to going to…

A: Given data :- The expression for the given fiunction a=f(t)=7500-380t Where a= number of…

Q: Question 11 Evaluate the limit: lim h→0 Question Help: Video (-5+h)² - 25 h

A: We can solve this as follows:

Q: 20 18- 16 14- 12 10 8 b 4 2 1 2 Estimate the instantaneous rate of change at x = = 1

A: To find the instantaneous rate of change.

Q: A triangular prism has a base which is an isosceles right triangle. If the volume of the prism is…

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Q: xy lim (x,y)→(0,0) x² + y²

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Q: Find the absolute maximum and absolute minimum values of z€

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: b. Determine the gradient of the following function at Po h(x, y, z) = cos xy + e + In zx, Po(1, 0,…

A: We need to find gradient.

Q: Given: [x, y,z ] = [1,−1,5]+t [3,4,7], determine • the symmetric equations for the line • If…

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Q: (a) The graph of y = g(x) is shown. Draw the graph of y=-g(x+1). 6 ?

A: We are authorized to solve only one question, please repost remaining questions Graphical…

Q: 1.y = 5x + 2

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Q: Suppose that the function fis defined as follows. -1 if -3.5<x< -2.5 0 if 2.5<x< -1.5 - f(x)= 1 if…

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Q: 3 3 3 5 2 1 , B = 21 19 1 1 (A - 5B) X = C. Given the matrices A MATC the matrix X in the equation…

A: See the answer below

Q: Find te dx

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Q: Suppose that f(x, y) = √√4² - x² - y² on the domain D = =4 Q Then the double integral of f(x, y)…

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Q: 25 5 Given the matrices A , B www.m 4 1 -5 for the matrix X in the equation (X - 5B) A = C. X = ,…

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Q: A consultant determines that the percentage of people who will have responded to an advertisement…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: A certain radioactive substance is decaying so that at time t, measured in years, the amount of the…

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Q: x.e²ydy + 12 dx = 0

A: Follow the procedure given below.

Q: For the following sinusoidal function, state the transformations in words, and determine the…

A: Given data :-  f(θ)=-2sin[13(θ+π4)]+5

Q: There are 30 students registered for a multi-sport camp. There are 4 students who will play Hockey…

A: I have appended the formula used in the solution part of the question

Q: The difference between the number of arrangements using all the letters in DIPLOMA and the number of…

A: We need to find difference between arrangements.

Q: A car dealership has 4 red cars, 3 blue cars, and 2 silver cars to display in a line facing forward.…

A:

Q: 1. Evaluate the integrals below. 5x²-x +3 (a) J x³ + x (b) [√v √√√x – 1 dx dx

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Q: Find the maximum value of the function y = on the interval 1<x< 4. In x Approx. 2.79 Approx. 2.89…

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Q: From a group of 18 student representatives, 5 will be chosen to work on a fundraising committee. How…

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Q: Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel to the given…

A: Given problem:- Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel…

Q: Your answer is incorrect. Graph the function. y--33 Plot five points on the graph of the function:…

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Q: • Example: • f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: Find the slope of the tangent line to y = sin x tan (즉) m =√3 2 m = T√√3 3 m = -√3 3 None of the…

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Q: Q4:- Find the derivative of the function at Po in the direction of the vector AC. f(x, y, z) = x² +…

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Q: dy If y = x³ cos π, what is ? O 3r² - sin 7 -3x² sin T O 3x² cos T COS O-³ sin + 3x² cсos π

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Q: The loudness of sound is measured in decibels so that the decibel measurement is db = 10 log L where…

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Q: Find all roots of the polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs,…

A: Concept: Descartes's rule of signs: The number of positive (or negative) real roots and the number…

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 6 f(x) = 7+ - X f'(x)…

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Q: Find the angle ū= , V = degrees

A: To find the angle between the given vectors.

Q: 4. Evaluate the integrals below. relevant triangle in your work. | | (1 (1 + tan²0)² de (b) 1…

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Q: Find the area of the region enclosed by the following functions.

A: The given two curves:y=x3-3x+3 and y=3x2-2x.We need to find the area enclosed by the curves.

Q: Find an equation of a plane containing the following 3 given points P, Q, and M: P (3,-1, 2) and Q…

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Q: Find the general solution of the given ODE * dy x+2y-3 dx 2x+y−3 (x+y)³ = C(x + y − 2) Option 1…

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