Use the Intermediate Value Theorem to prove that f(x) = x ^ 2 + 2x - 6 has a root in the interval [1, 2]

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Q: rob 6 Evaluste lem x-o x+cos ().

A: we will find the limit.

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Q: Consider the definite integral Then dz = f(z) du where f(z) = Then the most appropriate substitution…

A: The solution is given below, we will use substitute method to find the solution

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A: Solution is done in step 2

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Q: sin (20) = 2 1 at are the solutions to sin (20) = - 2 in the interval 0≤0<2x? A. The solution set is…

A: Topic:- trigonometry

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: Find the sum: 4. Guess the value of Σko (R). k=0

A: Given that ∑k=0nnkSolution :∑k=0nnk∑k=0nnCk=nC0+nC1+nC2+nC3+......+nCnwe know that…

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Q: Evaluate the limits:  lim x→−2− 3x^2+7x+2 / x^2−4

A: This question can be solved by factorizing the numerator and then cancelling the common term in…

Q: At what interval of x will the function continuous, f(x) = { 3x²-x-2 x-1 0, x= 1 ", x#1

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Q: Find the sum: n 4. Guess the value of 0 (). k=0

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Q: 5. Solve the initial value problem and find the interval of existence. dy 1 dt 2y + 1' y (0) = 1. 6.…

A: I have to solve differential equations in this question.

Q: Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 d0)

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Q: Evaluate the limits: limx→pi+ 2 cscx

A: Given query is to find the limit of the expression.

Q: 3 a8a³b4-4b64a6-

A: Topic:- algebra

Q: g(x) = and determine its domain and range. Graph: Domain: Range: -3, x≤-1 1,-1<x<2 4,2<x

A: To solve the following problem and sketch the graph

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The table below shows where a continuous function and its derivatives are positive, negative and…

A: Given: The table below shows where a continuous function and its derivatives are positive, negative…

Q: Find the general form of equation of the circle below x² + y² + ax + by + c = 0 If the given is…

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Q: Find the maximal value for delta>0  such that, for all x,  if 2<x<2+delta , then square root of x -…

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Q: Which of the following differential equation is ordinary, linear, first degree, and the dependent…

A: To determine which of the following differential equation is ordinary, linear, first degree, and the…

Q: Q1/A- Find the center and radius of the sphere have equation x + 2x + y²-2y + 2²-6z=14. B- Find the…

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Q: 10. If x represents the solution set from the number line above, which of the following describes…

A: As per policy only first question is answered. The given is dark from x = -2  to x = 5.

Q: Consider the indefinite integral [6³. The integrand decomposes into the form ax + b + x a = b= 6x³ +…

A: First of all use partial fraction decomposition for: 6x3+5x2+1x-6x2-1 Now,…

Q: The mathematical models is only nonlinear equation describing the models? True False

A: There are different types of mathematical models present and among these different types , there is…

Q: The value of a car decreases by 25% each year. The price of a new car is N$40 000. What is its value…

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Q: Here is a right triangle with hypotenuse on the axis. 45 L 45° For the shaded horizontal strip,…

A: Given

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Q: . This first example is one you may have seen in precalc. square sheet of cardboard is 3 meters long…

A: To find out the volume of the remaining box.

Q: f(x) = 1 1 x²¹/₂ 2

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 2. Draw a sketch of the piece-wise defined function -3, x≤-1 1,-1<x<2 4,2<x g(x)= and determine its…

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Q: Prove, using the e-d definition of limit, that: (a) lim x² + 1 = 2 24-1

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: 7. f(x)=√x+5.

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A: Concept: Limit of function: Consider the  function f(x). Let x have values that are close to the…

Q: 9. bx y = (a + x)

A: Please see the below picture for detailed solution.

Q: The graph of a function is shown together with the tangent line at a point y 10 9 8 7 6 5 4 3 2 H P…

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Q: Find the limit: limx→ −3 x^2−9/ 2x^2+3x−9

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Q: Let f(1) = 3 and f(1) = -1. x Let g(x): 1+f(x) Then g'(1) =

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Q: (4√w - √u) (3√w + 2√u)

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Q: Differentiate. y' = y = +4 1 - x³ X

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Q: A- Say whether the function is even, odd, or neither 1) g(x) = 4+tan x 3) g(x) == .) f(s) = 3s +2 4)…

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Q: For the function f graphed below, find the following limits. 1. lim f(a) 3 help (limits) = 2. lim…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: = The velocity of a particle moving along a line as a function of time is given by v(t) = Find the…

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Q: Explain why lnCo/C = logeCo/C /log10e

A: We will use logarithm rule  lognM = logzM / logzn  Where a is the new base.

Q: Set up the definite integral that gives the area of the region. Y₁ = x² + 2x + 5 Y2 = 2x + 30 -5 dx…

A: Graph of the region is given, we have to find the definite integral that represents the area of the…