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Q: Find the volume of the given solid region in the first octant bounded by the plane 15x + 15y +9z =…

A: See this solution in below.

Q: Evaluate the following integral in cylindrical coordinates. 1-x² 1 2 1 S SS PR 1+x² + y² - 1 0 0 dz…

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Q: 4. A ceramic insulator is baked at 400C° and cooled in a room in which the temperature is 25C°.…

A: Concept: The formula used is the rate of cooling dθdt=k(θ-θ0) Here θ is the temperature of the body…

Q: 4y³ (x²+4) dy + 4xy* = (x²+4)² dx

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Q: Find a function that satisfies the given conditions and sketch its graph. lim f(x)=0, lim f(x) = ∞,…

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Q: 10- 8- 6- 4. 2- NY of y = f(x) -2 4 6 -8 Xx 10

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Q: 2. Sketch the graph of the given function, evaluate the given expression. , -1 < x < 0, x-2,0≤x≤ 2,…

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Q: Let f(x) = 1- x³. Show that f(-1) = f(1) but there is no number c € (-1,1) such that f'(c) = 0. Why…

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Q: write a polynomial in factored form that has degree 9 with zeroes -5(multiplicity 2), 3(multiplicity…

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Q: Suppose f is a one-to-one function with domain A and range B. What is the domain of f¹? 1. Cannot be…

A: NOTE: Refresh your page if you can't see any equations. . if the function f(x) is one to one…

Q: lution of the logistic differential equation: dy dt alysis (and possibly a computer generated slope…

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

Q: Consider the function f(x)=xe^−4x,  0≤x≤2 This function has an absolute minimum value equal to: ___…

A: Given function:- fx=xe-4x

Q: #37) (modified) Find the equation if the tangent line at the point x=1: y = x4 + 1/x - 3ex

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Q: 2. y" + 3y + y = (2-6x) cos x - 9 sin x

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Q: (b) y = tan-¹x (e) y = cotx (h) x5

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 Σ1 4 + 1…

A: Use comparison test to determine convergence of series

Q: For a given cylindrical tank, the radius is 7 m and the height is 13 m. The tank is filled to a…

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Q: Graph P(x) = x²³ -3x² + 4x +12 (list all steps 2

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Q: H..W... solve the following equat.1.9.1.2...... •2x+y=1" H.......

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Q: 46. y = [x + (x + sin²x)³]4

A: Given y=x+x+sin2x34

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: Evaluate lim x 1 expression. x² In²x - 2x + 1 Identify the indeterminate form of the given

A: Given query is to find the limit of the expression.

Q: 3. If f(x, y) = 100(y + 1) represents the population density (number of people per square mile) of a…

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Q: ch of the following functions satisfies the given conditions? A. f(x) = - c. f(x)= -x-2 +4 1 (x-2)²…

A: Given query is to find the function which has indicated properties.

Q: 4. A function f has the following verbal description: multiply by 3, add 5, and then take the third…

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Q: Find the solution y = f(t) of dy t such that f(1) = 2.

A: Given query is to find the solution of the differential equation.

Q: Find the limit of the rational function (a) as x→∞o and (b) as x→∞0. 2x³ +7 5 x5-x²+x+2 f(x)= 5 2x +…

A: First simplify then apply limit

Q: Q is the region bounded by the graph of u(y) = the y-axis, y = 0, and y = 1. Find the volume of the…

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Q: Rewrite the following integral using the indicated order of integration and then evaluate the…

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Q: Use the given graph of f to find a number 8 such that if 0 < |x - 3| ≤ & then [f(x) − 2| < 0.5. y 8…

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Q: A regular space pyramid has a base of 50 cm by 50 cm and altitude of one meter of a plane is passed…

A: Given:    An intersecting plane HIJK  parallel to  the base plane ABCD and at height of 15cm from…

Q: 1. Let f(x) = x² and g(x)=√x+1. (a) Find f g and its domain. (b) (c) Find and its domain. 9 Find f +…

A: Given functions are fx=x2, gx=x+1 We need to find the following using the given function, f·g and…

Q: Let y = cos(2x) 9x²+3 Calculate dy dx

A: Given function, y=cos(2x)9x2+3

Q: 5x² R is the region bounded above by the graph of f(x) = 3x - and below by the x-axis over the…

A: Given:       fx=3x-5x22 interval 0,1  Volume of solid formed by revolving around y-axis:…

Q: Find the thos of P(x) = x4 -81

A: To find the zeroes of given polynomial

Q: 25-44 Differentiate. √x 2 + x 36. y =

A: Given query is to find the derivative.

Q: B E A B Q: ABCD is quadrilateral Shape whose diameters. intersect at E, Sinc AB / CD // EF, and F in…

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Q: Factoring this, we get F(x)=2x3+24x+12x3² + 12x + 6). Since is never 0, then F(x)=0 when x² 12x+6=0,…

A: Given:- f''x=2x-3+24x-4+12x-5

Q: 4. A container has the shape of an open right circular cone. The height of the container is 10 cm…

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Q: @ Test for absolute convergence or dirigine. E(-1)^² E L-1)^-1 Irinty) Convergence, Conditional 3 E…

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Q: -1 [cos'¹x {√(1-x²)}] _dx log. { 1 + ( 1+ sin (2x√(1-x²)) (2)} TT

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Q: A continuous function y = f(x) is known to be negative at x = 6 and positive at x = 8. Why does the…

A: Intermediate value Theorem:-if fx is continuous on a,b, then for every k between fa and fb, there…

Q: ง N iv. Stan³ (x) sec³(x) dx v. f sin²(x) dx

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Q: The following graph shows a rough approximation of historical and projected median home prices for a…

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Q: (a) What does it mean for f to be differentiable at a?(b) What is the relation between the…

A: (a) Let f(x) be a function which is differentiable at a point x=a.It means that the function is…

Q: Let f(x) = 2x3/2. Calculate the arc length of the graph of f(x) over the interval [1, 3]. Enter an…

A: Let fx=2x32, to calculate the arc length of the graph of fx over the interval 1, 3.

Q: Suppose that f is a function with f'(6) = 0 and f''(6) = 2. O Then f has a relative maximum at x =…

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Q: 17. Define a relation R on the set of positive odd integers by xRy if 8 divides x² - y². Then R is…

A: Reflexive relation: A relation is reflexive if (p, p) ∈ R Symmetric relation: According to this if…

Q: b)lim X118 5x3+x2 3- 15x2

A: Given limit, limx→ -∞ 5x3+x2-23-1.5x2

Q: 6х3 + 2х2 +22х 2х2 +5

A: