Find the equation of the plane that passes through the points (1, 0, -1), (0, 2, 3), and (0, 0, 5) in R^3. By hand solution needed in 15 minutes and get the thumbs up please show neat and clean work for it

Q: X x + 5 Give exact answers (not decimal approximations). Let f(x) = Find the values of where f'(x) =…

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Q: 3 5 -2 4

A: We have given a matrix  Let,  A=35-24 determinant of A is given as  A=3×4--2×5=12+10 A=22 Cofactor…

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A: Topic- slope of a tangent line we are given a function, f(x)=x2+4x+4 and x0=8

Q: Given that f(x)= x² + 5x and g(x) = x -2, find the unsimplified AND simplified versions of the…

A: f(x)=x2+5xg(x)=x-2

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A: The solution consists of differentiation of equation with respect to x

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A: We can show that the given function is discontinues .

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A: A total amount of $9,000 was invested with equal amounts in RYURX and RYIHX and the year-to-date…

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Q: following limits, if they exist. lim (x,y) →(0;0) x³ + x²y + 2y³ x² + y² ;

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Q: Solve the following differential equation by Laplace: ² - 4y = 16 t -6, y(0) = 3 . dx

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Q: Q2- By using Chain Rule, find əu/əx, əu/əy, du/əz at (x, y, z) = ("/4-¹/2, -¹/2) u = esin-¹p. p =…

A: By using Chain Rule, to find ∂u∂x, ∂u∂y, and ∂u∂z at x, y,z=π4, 12, -12.u=eqr sin-1 p, p=sin x, q=z2…

Q: B: Evaluate the following: r (4)r 1– r 912

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Q: Express the domain for each function using inequality notatation. Enter "DNE" for the empty set and…

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Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) 2 In(kx) 1 y² = −x² (2 + ¹n(kx²)) 2 d. y² =…

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Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) 2…

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Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

Q: 45. a¹ + a²2=0

A: Find roots

Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

A: Derivative

Q: 3.) (t+z)dt - (z - t)dz = 0

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Q: Compare the the planes below to the plane -5x + 5y - 5z = 0. Match the letter corresponding to the…

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Q: 4. A. Find the parametric and Cartesian equations of the line connecting the points A (1, 2, -1) and…

A: Given two points are A(1,2,-1)   and B(-1,0,1). The cartesian equation of a line passing through two…

Q: Q19

A: Concept Used:  Hyperbola formula:(y-k)2a2-(x-h)2b2=1 The variable h represents the x-offset from the…

Q: Solve the given linear differential equation. Use C as the constant of integration in your solution.…

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Q: 1- L-1 6S-4 S²-4 S+16 2 (

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Q: Sketch the level curves of g(x, y) 1- y² x² where k € {-1,0, 1}

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Q: 2. Evaluate the following limit. * Tabular form 1 4 +1+ X lim x→-4 4+x

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Q: If g(x) = sin(x) then g'(x) = = g'(5) =

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Q: A hardware store purchased a tool at P20,000 per unit. At what price should the tool be sold so that…

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: * 1. Apply the limit function to determine the derivative of y=√x - 1 Your answer

A: Please see the below picture for detailed solution.

Q: 6x5x², find ƒ'(-4). If f(x) = 5 + 6x 5 +

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Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

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Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx+xydy=0

A: The given differential equation is; (x2e-y^2/x^2 -y2)dx + xydy=0.

Q: (5, 4) and 6 = ( − 7, 8). Compute the following vector projections. Let a = proja b proj; a =

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Q: A = -3 -30 25 1. -105

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Q: A vehicle travels in a straight line for t minutes with a velocity of v(t): = for 0 ≤ t ≤ 15. Step 1…

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Q: if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist, or "oo" or "-oo"…

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Q: Using the concept of differential approximates the value of sqrt(85)

A: Given value is 85 We have to find its approximate value using differential approximation

Q: Evaluate lim X-2 4x² - 8x x-2

A: Topic = Limits

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x-2- 2x + [2- X x² + x - 2

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Q: ds Total sales of a new product sometimes follow a logistic model. If S(t) denotes the total number…

A: Concept: We have S(t) the total number of units sold at time t P0=4580P1=18623P2=39689 Here P0 is…

Q: f(x)-f(a) x-a a. Use the definition mtan = lim x→a a. mtan to find the slope of the line tangent to…

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Q: Solve the problem. dP =kP+N, where N is a constant representing the net The rate of growth of a…

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Q: EXAMPLES 10. Find the DE of the family of SL with algebraic sum of intercepts fixed as

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Q: Find the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² The…

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Q: The count in a bacteria culture was 100 after 20 minutes and 1600 after 35 minutes. Assuming the…

A: The growth of bacteria is given as , ft=cekt Growth rate (k)=?

Q: Find an equation of the plane consisting of all points that are equidistant from (4, 0, -2) and (3,…

A: Here is the solution:

Q: Determine the equation of the plane in the form z=f(x,y) that passes through the points…

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Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =…

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