af axdy of f (x, y) = xy(x+y — 1) — x² Find-

Q: trahedron enclosed by the coordinate planes and the plane x+2y+z= 8.

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Q: 1-√3-x 4. lim. x→2 4-x²

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Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…

A: We need to find volume.

Q: A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal…

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Q: Calculate the gradient of h(x, y, z) = x z

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1-6 0 {}} 4 3 5 3 4.) +

A: To simplify the given expression.To write "undefined" for expressions that are…

Q: Solve the equation: y" -y = 2* + Oy=ce to xe +e* (x+c3e2X + CA) Oy=c₁e* + c₂e* + ex (x + c3e-²x +…

A:

Q: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

Q: 6. If If vectors (5,2,-1) × (2,-1, a) = (5,-12,-9) then determine the value of a.

A: Given: 5,2,-1×2,-1,a=5,-12,-9

Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x = -2} •…

A: The function satisfies the…

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: find inverse 5-11 -7-9

Q: West Z dt x North JOAN dx dt ANDRES = 25km/hr dy dt y 18km/hr

A: Given: Speed of Andres  = 18 km/hr Speed of Joan  = 25 km/hr

Q: ||. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 3 4 D = 6 -3 2 3 8 9 3 2 ㅋ

A: Let's find cofactor of 6 in matrix D.

Q: 4. tan(5) a. Find the exact value for: b. Solve for x: tan(2x) = √3, xe [-]

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Q: Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2…

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Q: Evaluate using integration by parts or other techniques of integration. 2 9x √x² e ³x dx fx² e ³x dx…

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Q: 1/2 x3 1-x4 1/2 √3 - 2/2 √2/560 16 Option 1 1/11 Option 3 1 15 2 16 dx 1 Option 2 Option 4 15 8 √15…

A: Given, ∫012x31-x4dx

Q: et (e2t + 8et + 7)² 3 dt

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Q: Find the 1) Sketch the ii) Determine the ::::.) Set-up iv.) Integrate 2 ²) y = x ²²₁₂ y = 2 = x₁…

A: Given problem:- Find the area bounded by curves y=x2 , y=2-x, x≥ 0

Q: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

Q: f(x)-f(a) a. Use the definition mtan = lim x-a x→a b. Determine an equation of the tangent line at…

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Q: For the function f(x) = 2x², make a table of slopes of secant lines and make a conjecture about the…

A: Slope= df/dx

Q: Find all solutions of the equation 2 sin² x - COS X = 1 in the interval [0, 2π) with x₁ < x2 < x3.…

A: The given equation is: 2sin2x-cosx=1 To find the solution in the interval [0,2π).

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: This question can be solved by the concept of limits and definite integrals.

Q: VI. Consider the conservative vector field 1. F(x, y, z) = (z cos(rz) -y sin(ry), 2y cos(ry) - ry²…

A: Solved below.

Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

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Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

A: We have to find the area of the given region.

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² + 5, the x-axis and…

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Q: The rate of a continuous money flow starts at $600 and increases exponentially at 2% per year for 15…

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Q: 6 F 0 28inx Cask ex

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Q: Convert the rectangular coordinates (5,-5√3) to polar form. Letr> 0and 0 <0<2TT.

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Q: Find dy/dx, if y= (3+cos x) ^(2x+1)

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Q: Evaluate S ( + - + e²+ =) dz 3 · 3z 21² In x++²x+}x+ + C Option 1 √√(x³)x= √√√x + √2x+C I- Option 2

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Q: A) Suppose that f(5)=-8, g(5)= 2, f^’(5)=10 and g^’(5)=-4, find h^’(5)=, if h(x)=[f(x)+2g(x)]^4 B)…

A: Suppose that f(5)=-8, g(5)=2, f'(5)=10, g'(5)=-4

Q: Find the vertical asymptote of the following function. X - 1 f(x) = 2x + 18 X =

A:

Q: 2. If g(x)=√√3-x and f(x) = x³ +1 evaluate the following: gof(-1) b. (g-f)(2)

A: Given, g(x)=3-xf(x)=x3+1

Q: Estimate the double integral_R  (3xy^(2)+2x^(2)) dA where R= [0,1] x [0,1] by diving R into four…

A: We need to evaluate integral.

Q: Calculate the gradient of f(x, y) = sin(x² - y) Vf=

A: Finding the partial derivative of the function.

Q: xy² (xdy + ydx) = (xy - 2)dy

A: We have to solve given Questions.

Q: Which of the following are parametric equations for the entire line y = x + 1? Choose all that…

A:

Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

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Q: Consider the position function s(t)= - 16t+96t representing the position of an object moving…

A: Given problem:- Consider the position function s(t) = - 16t2 + 96t representing the position of an…

Q: Using integration by parts for getting the integral of ex cos 2x will give way to another…

A: To find  ∫excos 2x dx we use the integration by parts and it will give another integral in which we…

Q: of the points where the parametric equation y = 2 cost 0≤t≤ 2π will have vertical tangent. Determine…

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Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: Question 12 If u and are non-zero vectors and Proj= 0, then which one of the following must be true?…

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Q: e the differential equation e2x dy +2e²x y = 2x

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Q: Determine the x - y coordinates of the points where the parametric equation x = 5 sin²t y = 2 cost 0…

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Q: Calculate the area contained between the curve y = cos x, -<x<, and the line y = 1. T 3. √3 Option 1…

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Q: Use the power series method to solve the given initial-value problem. (Format your final answer as…

A: Concept: Power series: To find a power series solution to specific differential equations, the power…