Find the real roots of the equation B 244

Q: Find 1) the eigenvalues of matrix B 2 -1 -1 0 2 -1 2

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Q: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

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Q: The holes cut in a roof for vent pipes require elliptical templates. A formula for determining the…

A: We need to find length and width.

Q: Evaluate the limit lim_ (8x² + 4) (6x + 8 →7

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Q: Evaluate the limit algebraically. 6x²-3x + 3 x-7 lim I →→2

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Q: 2 Solve the following ODES by Inverse Operator method. (D²³+1) y = 3+²+52x Ans: y = c₁e²+ ¹² (C₂…

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Q: Find all values for which the function discontinuous. X-1 if X41 o if 18x44 X-2 if X>4 f(x);

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Q: 2. (x + y) dx + (3x + 3y − 4) dy = 0

A: The given differential equation is;  (x+y)dx+(3x+3y-4)dy=0.

Q: Precalculus You have 5% and 20% but need to create 10% solution of 1,000 miligrams . How many…

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Q: A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the wine…

A: *Differential equation model :- Newton's Law of heating.

Q: 2) Express 100C50 as a sum of two terms from Pascal's triangle.

A: Let us find thatThe  100C50 as a sum of two terms from Pascal's triangle.we know that the formula of…

Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

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Q: For So √ 1² dt. use a change of variables to evaluate the definite integral. √5+t²

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Q: Find the gradient of the function at the given point. Function Point (8,4) f(x, y) Vf(8, 4) = = = x…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In√√x² + y2, (3,…

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Q: 4. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

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Q: Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: Use the substitution t = -x to solve the given initial-value problem on the interval (-∞o, 0) x²y" -…

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Q: By power Series method, Solve the following ODES • (2+x)y=y ans: y = a. (1+1=1/2 X

A: In this question we have to find the solution of the power series.

Q: At what speed should a fish swim upstream so as to reach its destination with the least expenditure…

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Q: Prove that the graph of the function y = x² −3+1/x has at least two x-intercepts in (0,2).

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Q: Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated In Example…

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Q: 11. (2.3.34) Let f: B → C and g: A → B be functions. (a) Prove or disprove the following statement:…

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Q: Evaluate lim 74 x →0 COS 218

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Q: Sketch the vector field F. (Select Update Graph to see your response plotted on the screen. Select…

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Q: Suppose that the graph below is the graph of f '(x), the derivative of f(x). Find the open intervals…

A: To find the inflection point.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(2, 3, 4),…

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Q: What is the directional derivative of f(x, y, z)= In x 2 + 2y2 + 4 z 2 at the point P(-1. 2, 4) in…

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Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) =

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Q: b) Let f(x) = ¹. Find f'(x), ƒ"(x), ƒ"(x) and ƒ(4) (x). Deduce f(n)(x).

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: The objective of the question is determine the critical point and intervals in which function is…

Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x=8, x=2 b. x = 4 2009-2…

A: Given fx=x-8x-2x-4

Q: The graph below is the function f(x) -5-4-3-2-1 Find lim 24-1- Find lim 2 1 02 03- -4- 4 z→-1+ Find…

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Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: Evaluate each expression based on the following table. X f(x) (a) f(2) - f(-2) (b) f(-1)f(-2) (c)…

A: To evaluate the given expressions.  From the given table.

Q: If r(x) = -cos (x + 9) +7, determine the antiderivative of r(x). (Do not include the constant C'in…

A: In this question, we want to find the antiderivative of the given function r(x).

Q: Consider the following differential equation to be solved by variation of p y" + y = csc (x) ind the…

A: The solution is given below

Q: Given the diagram of the bounded area, The limits of integration Choose Area in square units is X is…

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Q: (b) Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5)…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: Evaluate lim x-2 6-x-2 /3-x-1

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Q: State the restriction on the domain and then find the inverse of the function. f(x) = x² - 6x Domain…

A: The given function is fx=x2-6x

Q: 4. In a chemistry class, the students in a lab derived a function to model the results of their…

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Q: 8. Calculate the following limits. In z lim → 2²-1 (b) [ 1³-1³ 0 e + cos2-1-2 lim

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Q: Find all values of x and y such that Px(x,y) = 0 and Py(x,y) = 0 simultaneously. P(x,y) = 5x²2 -…

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Q: Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 6x-x², y = - 2x The…

A: The given curves are: y=6x-x2, y=-2x   Now find the point of intersection between the given curves.…

Q: g(b)= g'(b)= Calculate g(b) and g'(b) where g(x) is the inverse of f(x) - 18, where b=4 248

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Q: Cut out squares (of the same size) from the four corners of a square cardboard of given side length…

A: The side of the square = L  let the length of the square = x,