Show that x3 +x – 1 has a root in the interval [0,1]. (R

Q: aximum v al [1, 5] is

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Q: he absolute extrema of J(*) = ,2+2x +9 n(-1,5]. %3D

A: The given function is  f(x)=xx2+2x+9 on [-1,5]

Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

Q: Given that f(x) = 4x² + 5X-9, find f (h-3)-f(-3) h

A: f(x)=4x2+5x-9for f(h-3) put h-3  in f(x)

Q: Show that the function f(t)=√t+√√1+t-4 has exactly one zero in Solve the equation √t+√√1+t-4 = 0 to…

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Q: Is Z²-1 2-√√2²+4 analytic in 12/2

A: Given:We have to find the following function is analytic or not. =Ƶ2-1Ƶ-Ƶ2+4

Q: Given the function a) Apply the leading coefficient test. b) Find the zeros by factoring. c) Find…

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Q: Given f(x) = - - 6x + 2, h(x) = 2(x – 6)(x+ 10) and g(x) =(x - 4)²+2 deter write f, g or h) has no…

A: Given,       f(x)=-34x2-6x+2h(x)=2(x-6)(x+10)g(x)=65(x-4)2+2

Q: Compute f 3 2 x-5x+6 dx.

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Q: Let f(x) = 3+ √5-8. Find f f(₂)=[

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Q: 2. Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x=…

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Q: Let x, y, and z be real numbers. Prove the following a. -(-x) = x b. (-x) * (y) = -(xy) and (-x) *…

A: I have provided detailed proof for each question in the Explanation section.Explanation:Let's go…

Q: x+6 f(x) = X-2

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Q: a.) Calculate L6 for f(x)= (squareroot (9x+1)) over [1,3] Give answer to three decimal places L6=…

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Q: root exists between = and x

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.