Use the distance formula to find the distance between the points given. (20,-3), (9,- 14)

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Consider the following function f(x1, x2, x3) = 2x² + 4x₁ + x₂x₁ - x2 + x3x2-x². Starting at a value…

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Q: For the equation, 10x2 +9√3xy+y2-6=0, complete the following questions. a. Rewrite the equation in a…

A: Given conic:

Q: A contour map is given for a function f. Use it to estimate fx(2, 1) and fy(2, 1). fx(2, 1): = fy(2,…

A: We see,       fx(2, 1) ≈ {f(2 + 1, 1) - f(2, 1)}/1                      = f(3, 1) - f(2, 1)…

Q: 3. If y = 2xe, find y". y" = 21³e² y" y″ = (x+4)eª y" = 2(x + 2)e y" = 42ef

A: Introduction: the second derivative corresponds to the curvature or concavity of the graph. The…

Q: BAND The substitution y= ue f(x) = 1 -9²- -9- 2 4 p(x) dx +P Of(x) = -p²-p+q. Of(x)=-q²-q+p. O None…

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Q: Assume the hold time of callers to a cable company is normally distributed with a mean of 5.2…

A: Mean, μ= 5.2 minutesStandard deviation, σ = 0.8 minute We have to find the percent of callers who…

Q: For products A and B, the joint-cost function for a manufacturer is 3 2 c=9+39 2 PB = 36-293. Find…

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Q: For a linear DDS with multiple equations, assume that A is the matrix of the system with eigenvalue…

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Q: 29. Find the volume of the solid that lies under the plane 4x + 6y2z + 15 = 0 and above the…

A: The volume of a solid that lies under a given plane z=f(x,y) and above a given rectangle a≤x≤b and…

Q: Given the surface $x^3+axyz+z^3=1$ then for what value of 'a' is the surface a smooth submanifold of…

A: Gradient Of the Function: Let F(x,y,z)=x3+axyz+z3 The Gradient Of F is given by,…

Q: For a linear DDS with multipe equations, assume that A is the matrix of the system with largest…

A: A linear DDS with multiple equations is given.  Also given is that A is the matrix that models the…

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. π/2 0…

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Q: The graph above shows the base of an object. Compute the exact value of the volume of the object,…

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Q: The differential equation can be written in differential form: where M(x, y): = y+2y7 = (y² + 6x) y'…

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Q: ber} c) = V52 − 3 -

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Q: If a and b are integers with [a,b] = a then (a,b) = ________.

A: We know, for two integers a and b,        a × b = [a, b] × (a, b)    => (a, b) = a × b/[a, b]

Q: For F = V(x(sin y)e²), use Stoke's Theorem to find the circulation of F around the circle of radius…

A: The given function is F=∇xsinyez. To Find: Circulation of F around the circle of radius 2 using…

Q: Given f(x) and g(x) on the following grid, use the "superposition" principle to draw h(x) 5π ST 0…

A: One must find the difference between them, using the suparposition method.

Q: Consider the given vector field. F(x, y, z) = cos(xz)j – cos(xy)k (a) Find the curl of the vector…

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Q: Given the second order initial value problem y" - 4y = 168(t-1), y(0) = 4, y'(0) = 12 Let Y(s)…

A: L{ eat } = 1/(s-a) . L { tn } = (n!)/sn+1 . if n is positive integer  L{ delta(t-a)}= e-as . L{…

Q: Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. 5 - 1…

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Q: suppose u=f(x,y) and v=g(x,y) with xy+2xu+3xv+Vu-1=0; 2xy+3yu-2xv+2uv+2=0 find the jacobian

A: The given system of equations is: u=f(x,y) and v=g(x,y) with xy+2xu+3xv+vu-1=0; 2xy+3yu-2xv+2uv+2=0

Q: Consider the vector field F and the curve C below. F(x, y) = (5 + 4xy²)i + 4x²yj, C is the arc of…

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Q: Solve the initial value problem below using the method of Laplace transforms. ty" - 2ty' + 2y = 8,…

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Q: Given D is the finite region in upper half plane bounded by the line |s| + t = 1 and the x…

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: True or false: If (a,b) = (a,c) = 2, then (b,c) = 2

A: a, b=a, c=2

Q: Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form…

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Q: Use PMT= to determine the regular payment amount, rounded to the nearest cent. The cost of a home is…

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Q: Diagonalize A 13 - [22] 42 O a. A = PDP-1 A = 3 50 P-[71] - [82] Р D 4 O b. A = PDP-1 ----[9] -4 1 P…

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Q: Suppose ΔABC and ΔDEF are two triangles such that ∠BAC ≅ ∠EDF, AC = DF, and CB = FE. Prove that…

A: Given Information: △ABC and △DEF are the two triangles. ∠BAC≅∠EDF AC=DF, CB=FE To show: Both the…

Q: 1. Let V = P₂(x) and define = 2f (0)g(0) + f(1)g(1) +3f (2)g(2). (a) Prove that this is an inner…

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Q: A model relating a student's number of hours spent on studying and resulting finals grade is…

A: The model relating a student's number of hours spent on studying and the resulting finals grade is…

Q: Consider the following differential equation y' = −(y − 1)² (9 — y²) We are trying to find and match…

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Q: Estimate the area of the region between f(x) = x³ - 2x² + 4 the x-axis on [1, 4] using n = 6 and…

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Q: Study how changes in boundary temperatures on a steel plate affect the temperatures at interior…

A: The given temperatures on the plate A is shown as follows The temperature at the points 1,2,3,4 are…

Q: Find d so that D= ľ 23 is diagonizable

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Q: Evaluate the definite integral (cx + da)² dx, with a, b, c, a constant, two different ways. First,…

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Q: z-i) in the following (6) 1 <시리 <2 (C) r

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Q: Consider the matrixB = 3 3 3 3 the Null(B) geometrically? 1 0 0 0 0 2 0 1 00002 00000 0 0 00 0…

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Q: State where the power series is centered Σ (-1)"(x – 4π) 9η - (9n)! n = 0

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Q: Theorem to find the flux of the vector field F = out of the unit cube [0, 1] x [0, 1] x [0, 1]. 3 1

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Q: A pair of dice is rolled. Find the probability of rolling (a) a sum not more than 11, (b) a sum not…

A: The outcome will be the sum of two faces: The set:2,3,4,...,12. One has to find the said…

Q: Current Attempt in Progress Use Lagrange multipliers to find the maximum and minimum values of f(x,…

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Q: Sketch the solid region whose volume given by the iterated integral. [²³³³²125 O y -5 r dz dr de…

A: Option (A) is correct for the solid region.

Q: (¹ x sin(4) dy = (y sin [2)-1]dx. ; YLE) = x

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Q: Exercise 4: IVP solution. Let k0. Solve the IVP y" + k²y = cos(t), y(0) = 0, y'(0) = 0. Hint:…

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Q: E 0=1 Casin 4+4^ k

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