Sketch the region of integration and change the order of integration. So f f(x, y)dydx

Q: Find the volume of the solid obtained by rotating the region bounded by y = 8x², x = 1, and y = 0,…

A: V= 64π/5 For detail go through the solution

Q: As a graduation present Natalie received a sports car which she drives very fast but very smoothly.…

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Q: Find and classify the critical points of z= (a²-8x) (y² – 4y) Local maximums: Local minimums: Saddle…

A: The given function is;  z=(x2-8x) (y2-4y).

Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Find the values of x, y and z that correspond to the critical point of the function: z = f(x, y) =…

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: As per rule I need to solve only first three subparts.

Q: Consider the function f(x) = 1−3x², -3 ≤ x ≤ 1. Use the derivatives to algebraically answer the…

A: Given, As per given question we need to find the extreme points of the function fx=1-3x2 on the…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 1/9 A disease has hit a city. The percentage of the population infected t days after the disease…

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: y" + 3y + 2y = 4x² 3 e² y (0) = 9, y' (0) = 5

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: 26. Distinguish between average and instantaneous rate of change, use an answer. appropriate example…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A: Given graph:-

Q: The perimeter of a rhombus is 68 inches and one of its diagonals measures 30 inches. Find the area…

A: Topic = Geometry

Q: Find the limit. lim X→0 sin (8x) 7x

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Q: A tepee has a circular floor with a diameter of 4 meters. What is the floor's circumference? typed…

A: Given :  A tepee has a circular floor with a diameter of 4 meters. Find :  What is the floor's…

Q: Solve the given differential equation. 3ydx - 3xdy + xdx = 2dx

A: 3ydx-3xdy+x9dx=2dxwe know ∫xndx=xn+1n+1+cd dx(yx)=xdy-ydxx2

Q: 53 2 5 -4 -3 -2 -1 U V 2 3 Q Find the components of the addition of the two vectors u and v shown.

A: Ans= <0,-6>  For detail...go through the solution...I have solved step by step with the help…

Q: Find the centroid of the triangular region cut from the third quadrant by the line x + y = -3.

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Q: The derivative of a function is given f'(z) = (2²-21-8)g(x) for some unspecified function g such…

A: The first derivative of a function is given by fx = x2-2x-8gx,   gx>0 To determine: The point…

Q: Q13 Use the limit definition of the derivative to find the derivative of the following function:…

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Q: Evaluate the limit tan 7x lim x 0 sin 4x

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Q: The position of an object with respect to time is given by the following function: d(t) = d³ +21² -…

A: Given poistion function:- dt=d3+2t2-2

Q: Find the derivative of the function. s = 8 t

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Q: 16 cos 6nt dt = [

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Q: Find the derivative of the following function: f(x) = ³√x² -2 (a) f'(x) = 3 1/ (b) ƒ'(x) = 3³7x²…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use double integration to find the volume of the solid bounded by the cylinder x² + y² = 9 and the…

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Q: Let a = 7i+j and b - 67 - 7j. Find a - b .

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Q: z is incorrect

A: We have to find the value of z (Round to 4 decimal)

Q: In which limits below can we use L'Hospital's Rule? 1- eª x+0 sin(6x) Olim lim I→∞ lim I→0 lim x →∞…

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Q: 15 a Find the vector shown above

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Q: Evaluate the limit tan 7x lim 1-0 sin 4x

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Q: what is the general solution to 2x^(2)y''+5xy'+y=0 what is the particular solution to…

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Q: Find the derivate of the function F(x) = x²(x²-8) a) C 2 6b) f(x) = (5x²³²-7) (6x + 1) F'(x) = c) 5…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

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Q: 2 Find the volume of the solid obtained by rotating the region bounded by y = x² , y = 0, and x = 3,…

A: we have to find the volume abouts y-axis

Q: A cable runs along the wall from C to P at a cost of $7 per meter, and straight from P to M at a…

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Q: Suppose that f is differentiable at 1 and f'(1) = 1 = f(1). Evaluate lim xf(x²+x-5)-16 22-4 (Hint:…

A: Given f is differentiable at 1 f'(1)=1=f(1) We are required to find limx→2x4fx2+x-5-16x2-4

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 4y and y³ = x with y…

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: We have to find the monotone intervals and relative extremas.

Q: Determine the PDE of all surfaces cutting the family of cones given by x²+y²-a²z²=0

A: The family of cones given by the equation:   x^2 + y^2 - a^2*z^2 = 0

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: Given u = 2 – 8j and d =−8+3j, find | + ả| and || + ả Give EXACT answers. You do NOT have to…

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Q: Question 17 () Let / be defined as follows: {² z Using the definition of the derivative, compute…

A: Let f be defined as follows:  fx=x2 if x<0x if x≥0 By using the definition of derivative, to…

Q: In (1 + x²) x-0 1 COS X 37. lim - x² - 4 x→2 ln (x - 1) 38. lim

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Q: 1. a. Consider the following graph of a continuous function f(t) on 0 ≤ t ≤ 10. 2 s(t) p/ 0 6 10 4…

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Q: Evaluate the integral. 6e6t ¹+12° +35 S- 12t dt

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Q: Express the sequence {an} n = 1 as an equivalent sequence of the form {n}=4* n=1 {2n +5}=1 ∞ An…

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