Determine the following functions as homegenous or not, if homenenous state the degree. 1. √x-y  2. (x^2 +y^2) e^(2x/y) +4xy 3. x^2 +3xy / x-2y

Q: Evaluate I = Se(sin z + 4y) dz + (5x + y) dy for the nonclosed path ABCD in the figure. %3! A =…

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Q: A goal is to get at least 15% of daily calories from poly saturated fats found in various nuts or…

A: 1 gram fat = 10 calories 21 gram fat = 21*10 = 210 calories

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Q: how long will it take for 16200 to double if it is invested at 5.5% compounded quarterly

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Q: Verify that the values of the variables listed are solutions of the system of equations. fx + y = -5…

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Q: Suppose that P = (x, y) has polar coordinates (r, Find the polar coordinates for the following…

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Q: (a) Determine the height h of the tooth (i.e., the maximum value of y(x)). (b) Determine the…

A: According to Bartleby's policy we are allowed to solve only 3 subparts of a question. Apologies for…

Q: Solve the given initial-value problem. 1 2 5 X' = |х, X(0) %3D 1 1 X(t) =

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Q: If a power series cn(x + 3)^n converges conditionally when x = 3, find the radius of convergence.…

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Q: A. [(f(x>g(x)) dx B. 8(x)- 0 dx+f, f(x)- 0 dx 2 c. [ fs)- 0 dx+f g(x)-0 dx С. -2 -1 2 3 -1 D. g(x)-…

A: Given query is to find the area bounded by the curve.

Q: 1. Consider the function A(x) = -tan(x- x). Determine the equation of the tangent to the curve (x)…

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Q: (4x-V16x C. lim +3x-5 3x-7* d. lim x0 2x-15*

A: c)…

Q: Let f(x) — 17ӕ + 3. Find f'(3). О А. 51 В. 54 О С. 17 O D. 3

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Consider the graph of f'(x) given below. At what value(s) of x does f(x) have a local minimum? If…

A: Consider the graph of f'(x)

Q: Convert to an equation in rectangular coordinates. 3 r = cos (0) – sin (0) (Express numbers in exact…

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Q: Best Publishing makes and sells dictionaries. They have a monthly fixed cost of $5,976 for rent,…

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Q: Find the Taylor polynomial of degree four for the function f(x) = e at x = 0. The Taylor polynomial…

A: The given function is:…

Q: (x - 1,? (y - 4)2 OA. OB. 3D1 16 The center of the ellipse is (Type an ordered pair.) The vertices…

A: The graph is shown below:

Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,z=1 y+1 3 z-1 %3D %3D За 2a Find the…

A: We have to find the point - normal equation of plane.

Q: Test the series for convergence or divergence. (-1)"-1 T"

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Q: Let S be the solid bounded by the planes z = o and y + z = 3, and the cylinder x2+y2 =2y-

A: answer is in next step

Q: Find the vector equation for the line of intersection of the planes 2x – 2y – 5z = 5 and 2a + 2z = 1

A: Given  equation of planes 2x-2y-5z=5 2x+2z=1

Q: 2 f (x) | 9 (x) 9' (z) -1 1 -2 Let f be the function given by ƒ (x)= g (t) dt, where g is a…

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Q: Find the verticies and foci, and sketch the graph: x2- 4y2 = 4

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 10 dr is The value of J5

A: The given integral,            ∫5101x2dx

Q: Consider the following. u = (2, -1, 0) v = (-2, 7, 0) Find u x v. Determine if u x v is orthogonal…

A: Given query is to find indicated vectors

Q: Write the partial fraction decomposition of the rational expression. (x - 2)(x - 3) 3 x- 2 X-3 2. -3…

A: Given, x/((x-2)(x-3)) Performing partial fraction decomposition we have,

Q: 5. A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: Let the length of the wire cut=xAll sides of square are same side length=yPerimeter= 4 y…

Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the…

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Q: The total cost of producing x instruction manuals is given by the function C(x) = 800 + 27x – 0.6x?…

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Q: ACTIVITY 2: Find the derivative and simplify the result, if possible y = x2 + n² +x" y = x2 sec x y…

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Q: 4. Calculate the area of the bounded region = y' +3 y=3 -=1 y=-1 -1 4 5 6 7 9 10 11 12 A. 52/3 С.…

A: Given query is to find the area bounded by the curves.

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Consider the function f(x)=7/x^3−6/x^6 Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4)…

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Find an equation in rectangular coordinates for the curve 2r2 = cos (20). (Express numbers in exact…

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Q: Consider a function f(x). The function has critical points at -1,- 2 3 and 1. The table below shows…

A: The function f(x) is increasing  if f'(x)>0On (-∞,-1)f'(x) is negative⇒f(x) is not increasing⇒It…

Q: Expand the quotient by partial fractions. 3x +24 (x + 3)(x + 6) 5 A) X+3 2. D) -5 5. -2 -2 B) X +3…

A: We can solve as follows

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Q: Verify that the two planes are parallel. -x + 6y + 3z = 5 -** 1 -x+ 2y + z = 6 Find the normal…

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Q: 8. Differentiate each function. Express your answer in a simplified factored form a. f(x) = (x +…

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that…

A: answer is in next step

Q: Evaluate the surface integral f(r, y, z)dS,

A: answer is in next step

Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: Question The statement below is of the form f(x) dx = F(x) + C. %3D Verify whether the following…

A: Note that: ∫(20x3-5cos(x))dx=20∫x3dx-5∫cos(x) dx=20x44-5sin(x)+C=5x4-5sin(x)+C

Q: Find the volume of the solid which is under the surface z = 16 – x² – y and above the plane z = 8.

A: Given

Q: Find the point where the function f(x,y,z) = x + 2y + 3z subject to the constraint xyz= 2 takes on…

A: Answer is in below steps.

Q: X tu 3. From questions #2-11, choose an "interesting" relation and i) Sketch the relation clearly…

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Q: Given functions f and g are periodic. Identify whether the following functions are periodic. i. ii.…

A: Take the two examples of periodic functions and then solve.