Find the equation of the line through the point (1,3) with a slope of 2 in both point- slope form and slope-intercept form. Sketch a graph of the function.

Q: The distance between the point P(x₁, y₁, 2₁) to the plone with equation Ax+By+ (z+D=0 is equal to |…

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Q: If f(x)= 2 २२ find f'(5).

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Q: Give an example of an everywhere-defined real function that is continuous at exactly three points

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Q: -4 1 0 Z 1 -4 0 1 1 -4 Z N O 1 -4 Ti Та T3 T4 -120 -130 -40 --30-

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Q: Prove that f(x) = x ⋅ |x| is continuous at all points c in ℝ.

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Q: . Given f (x) = 2x2 + 5x and g (x) = 3x − 7, find the following: (g + f) (2)

A: f(x)=2x2+5x ang g(x)=3x-7. We have to find (g+f)(2)

Q: Use a graph of g to estimate lim g(x) or to show that the limit does not exist. Evaluate g(x) near x…

A: We will find the graph by putting some values of x

Q: Let P, Q, and R be the compound propositions P: (pVg) (p^r), Q: (p@q) (q@r), R:-(p^r). 1. Make a…

A: As per the guidelines I am answering only one question at a time. Remember the following truth table…

Q: P 8 m Q d 5 m R

A: Solution :-

Q: Make the three polynomial functions ao, a₁ + b₁x, and a2 + b₂x + c₂x² orthonormal in the interval -1…

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Q: A sector with radius x cm and central angle 50° has area 87 cm². Find the length of the radius x.…

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Q: Sketch lines through (0, 0) with slopes

A: Given the line through (0, 0) with slopes 1, 0, 14, 4, and -1.

Q: Prove that if f C¹([a, b]), then Vaf = falf'(x) dx. [You may assume f, f'(x) dx. ] that f(x)-f(x-1)=

A: We prove f is in bounded variation

Q: 11.18 An electronics company produces transistors, resistors, and computer chips. Each transistor…

A: We need to find no of transistors, resistors, computer chips to be produced this week

Q: (b) Show that the set {V1, V2, V3, V4, V5} = {1+x, 1-x, x² + x³, 1-x¹, x² + x¹} is a basis for…

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Q: The Fitzhugh-Nagumo model for the electric impulse in a neuron states that, in the absence of…

A: Given: A differential Equation is dvdt=-vv2-1+av+a where a is constant such that 0<a<1. To…

Q: Solve the given initial-value problem. y(x) = y"" +10y" + 25y' = 0, y(0) = 0, y'(0) = 1, y''(0) = -4

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Q: Among nine presidential candidates at a debate, three are Republicans and six are Democrats. In how…

A: Answer :- A) the nine candidates can be lined in =9! Ways  B) Answer :- I take  DDDDDDRRR  is 9C6…

Q: Select C or for the blank so that the resulting statement is true. {− 7, 8, 9} ______ {x|x is an odd…

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Q: Assignment Let x₁ be the number of machine part I x₂ be the number of machine part II Objective…

A: Simplex Method: 1. We'll start by constructing the initial simplex tableau. The objective function…

Q: A rectangle in quadrant I has a corner at the origin and an opposite corner on the graph of y =…

A: Answer

Q: y" + 4y' + 6y =1+e¯2t y(0) = 0, y'(0) = 1

A: Given differential equation y''+4y'+6y=1+e-2t, y(0)=0, y'(0)=1

Q: Determine whether the statement below is true or false. Justify the answer. The equation Ax=b is…

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Q: (b) Show that the set {V₁, V2: V3, V₁, V₁} = {1+x, 1-x, x² + x³, 1-x¹, x² + x¹} is a basis for P4…

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Q: Use the numerals representing cardinalities in the Venn diagram shown to give the cardinality of…

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Q: If |G| = 36 and G is non-Abelian, prove that G has more than oneSylow 2-subgroup or more than one…

A: Given: G=36, G is non-Abelian.We need to prove that G has more than one Sylow 2-subgroup or more…

Q: Determine if the equation Ax=b is consistent for all possible b₁,b₂, and b3. If the equation is not…

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Q: 10. Find all numbers z such that (a) (z + 1)¹ = (1 - i)z¹; (b) e² = −1 - √√3i; (c) sin(z) = 4i; (d)…

A: We have to solve for z in all the subparts given, (a) (z+1)^4= (1-i)z^4    (b) e^z = -1- √3i   (c)…

Q: Is this true? logs x = logs cx logex. For this question, first try several examples. Then prove it.…

A: Given statement is  logb  x = logb c × logc x   Examples :    Take  x = 16, b = 2 ,  c = 4…

Q: 591: 59 100: 0.0591: 5.91 x 10⁰ 5.91 x 104 5.91 x 102 5.91 x 10-4 5.91 x 10-2

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Q: (2 ÷ 3) mod 8

A: The step by step solution of the given problem is as follows:

Q: The surface area of a sphere of radius r is given by a = 4pir^2 and its volume is given by V =…

A: The radius of the sphere is r Surface area a=4πr2 Volume v=43πr3

Q: प्रकृति -6-5-4-3-2 11-10-9-8-7 4 6 q The curve above is the graph of a sinusoidal function. It goes…

A: We are given the graph of the sinusoidal function that passes through the point (-9, -2) and (1,…

Q: find the critical numbers of the function

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Q: The graph below is the function f(x) 5+ 4 3 2 01 -5 -4 -3 -2 -1 -1 -2 3 -4 -5+ 1 2 4 5 Determine…

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Q: 2. Let f(x) = x² +1 2x Find f(x) + f(3) and f(x+3).

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Q: determine the total area using A = L*W, what is the uncertainty on this ar Provide your answer with…

A: We know if z=xy then ∆zz=∆xx+∆yy We have A=LW L+∆L=5.60±0.38 mW+∆W=5.65±0.46 m

Q: 5. Let B= (b₁,b2), where b₁ = (1,3), b2 = (-3,1). (a) Specify the transition matrices Ps,B and PB,s…

A: Introduction  The transition matrix is the matrix formed by writting the one basis elements into…

Q: 1. Consider the ODE With the initial condition that y=1 when x = 1. RK-2 1 a. Show that the…

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Q: 5. Suppose the weekly cost, C, in dollars, of eliminating p percent of the pollution from the…

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Q: Prove that Q(√d) (d is a square free integer) is the minimal subfield of C containing both Q and √d.…

A: Given: The field of a complex number C is given. To Prove: Qd is the minimal subfield of C…

Q: 2 The length and width of a soccer field are shown in meters. Which measure best approximates the…

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Q: Could you please help me with the following question? Using a TVM solver could you determine the…

A: Given that principal amount P = $ 21,568                   Rate of interest r = 4.8 %…

Q: a. Determine if the three lines have a common point of intersection. -4x1 + 5x2 = 27, 2x₁ - 3x₂ =…

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Q: 1. It has been shown that if m divides n, then Fm is a factor of Fn. Show that this is true for the…

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Q: 20. Use the definition of the derivative to find the derivative of the function f(x) =

A: We have to find the derivative of the function f(x)=20 by definition.

Q: Is the following variation of the Archimedean property true or false? If x and y are real numbers,…

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Q: dt' Population growth is commonly modeled upon the simple statement that the popu- lation growth…

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Q: Use the method of bisection to approximate √5 to within 0.01. Begin by noticing that x2 - 5 has a…

A: Use the method of bisection to approximate √5 to within 0.01. Begin by noticing that x2 - 5 has a…

Q: a. b. Use the truth tables method or a shortcut to determine whether for formula below is…

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