az dz and dy 2. Suppose z is a function of r and y and tan(r +y) = e*. Determine

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Q: The directrix of the parabola x? – 4 y = 0 is y =- 5 y = 0 Option 1 Option 2 y = 1 y =- 1 Option 3…

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Q: Vector A = 6i + 2j - 3k Find the

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A: To determine whether or not each of the following is an arithmetic sequence. 3 3,7,11,15,....4…

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Q: 3. The general form of a linear, homogeneous, second-order equation with constant coefficients is…

A: Solution :-

Q: Continuous

A: We have to find what is continuous independence.

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Q: 1. Sixteen toothpicks are arrañged as shown. Remove four toothpicks so that only four congruent…

A: Given an experiment . Sixteen toothpicks are arranged as shown (given in the question).  We have to…

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Q: 1. Evaluate the given line integral, |(-y,a – y) - dR, where C is the upper part of 2² + y? = 4 from…

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Q: (y – 2)² Draw a contour map of z = r² + using k = 0, 1,2, 3, 4, then sketch its graph in 9 R³.

A: The graph of a three dimensional surface is represented by the equation: z=f(x,y). The graph of a…

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Q: y"(x) + 9y(x) = 40e* ; y(0) = 5, y'(0) = -2

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: 1 -2 4 0 1 1 2 -1 2 5 1 1 4 -1 0 8 0 4 0 -2 1 1 1 -1 0 -2 -1 A = 3 -6 1 2 -4 -4 8 -3 1 -1 1 1 -2 4 1…

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Q: 5. Let V be a vector space of finite dimension n and let U be a subspace of V with dim(U) = m. a)…

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Q: Sixteen toothpicks are arrañged as shown. Remove four toothpicks so that only four congruent…

A: We need to remove 4 toothpicks so that we get 4 congruent triangles. So, we remove toothpicks one by…

Q: Find the Taylor series generated by f at x = a. f(x): %3D —, а %3D3 a =

A: Given function fx=1x. To find the Taylor series generated by f at x = a, where a = 3.

Q: The equation x2 + Bx + y² + Cy + D = 0 is a O hyperbola O parabola O ellipse circle

A: Use the general form of an equation of a conic section.

Q: the asymptote of the hyperbola given by x^2/9-y^2/4=1 has the equation

A: Let us consider the standard form of hyperbola  x2a2-y2b2=1 The asymptote of the given equation is…

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A: Given : equation     y2≡x3+ax+b mod p where a=4, b=2, and p=11 To find : the elements of the…

Q: 1. Evaluate the given line integral, |(-y,x – y) · dR, where C is the upper part of x² + y? = 4 from…

A: Given  ∫C(-y,x-y).dR→ where C is upper part of circle  x2+y2=4 from (-2,0) to (2,0).   Note-As per…

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Q: The vertices of the ellipse given by 4 +뚜=1 are (2, 1) and (1, 2) (0, 1) and (0, – 1) O Option 1…

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Q: 1. Evaluate the given line integral, | (2² – y,y) · dŘ, where C is the part of a = y? – 1 from (0,…

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Write the equation for the graphs below. -5 0. -5

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Q: Which vectors, drawn on a grid from one point (on the "cross-hairs") to another have integer values?

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Q: A cross section of a nuclear cooling tower is a hyperbola with the equation y? 1 902 1302 x2 The…

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Q: of a space X and let x e X. Then x e A iff there exists a net in A (that is a net whi to x in X.

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Q: Find the transform, indicating the method used and showing the details (sin wt) (cos wt)

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Q: ди(х,у) а) ди(х,у) = 0 ду ди(х,у) ди(х,у) b) ax - и (х, у) ду

A: (a) We have given a partial differential equation ,  ∂u(x,y)∂x - ∂u(x,y)∂y = 0 We will use…

Q: fhow thot te function f depined by f(XrY) = 1 (x,Y) =(1,-リ - 1) %3D x2 +y (x, y) F (I,-1) * t y is…

A: We use the sequential definition of continuity to solve this problem.

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A: Given: Let us consider the given statement, "If we are living, death does not exist, and death is…

Q: 1. Consider the function g(x, y) = cos(xy) + sin(x – 2y) (a) Determine g (c) Determine (c) What is…

A: Given function is  g(x,y)=cos(xy)+sin(x-2y) we have to find the second order partial derivatives…

Q: ouse the imProved wmethod Solve the : y ty tan X= sinzX ;ylo)=l ;h=ol

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Q: 2. if it was P(x)=ao+a,%tazk Prove that PecR) inner multiPlication sPace

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Q: (b) (x + y) da + (3x+ 3y- 4) dy = 0

A: As per the policy of bartleby the provisions is to solve only one question at a time

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Q: t, = 1 t2 = 2 t3 = 3 t4 = 4 C, = 11 C2 = 29 C3 = 65 C4 = 125 1 1 1 1 11 1 4 8 29 1 9 27 65 1 16 64…

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Q: 4. Let L:R? - R³ be the linear transformation defined by x-y x+ y 2.x Let S be the natural basis for…

A: The given linear transformation is                 L:ℝ2→ℝ3 defined by Lxy=x-yx+y2x Also given that S…

Q: Evaluate the ie idegal- grea dR, where ConGists of X- the upper part g the cake x'ty*= curife * 1…

A: Solve by two method  Using Green's theorem and direct line integral

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Q: A. Determine the mean of the age of houses. Steps must be shown Age of Home (years) Number of…

A: Age of Home (years) Number of customers 0 - 10 4 10 - 20 8 20 - 30 7 30 - 40 3 We need…

Q: 1. Using Linear Approximation, determine the approximate value of the following: Final answers must…

A: Consider the given expression, e2.2; where e2=7.4. Let us consider the function fx=ex and use the…