Use the intermediate value theorem to show that the function has a real zero bet the zero. P(x) = 4x2 – 2x - 3; 1 and 2

Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

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Q: 1. Find the function y(t) satisfying y' = ev-t(1+t?) sec y with y(0) = 0.

A: Claim: solution for with y(0)=0. Integrating both sides we get, Take u=e-y then du=-e-y  and…

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Q: f(x) = x² + 7x –- 30

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Q: Determine the domain for the function of two variables h(x,y) = 9x e V5+y %3D

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Q: The value of F(-1) has to be a number whether it is a while number or rounded to 2 decimal places

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Q: What is the zeros of this function?

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Q: g(x) = x2 + 2x – 2 I

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Q: Show whether the function y=x² is considered as even or odd function

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Q: Choose the interval where the function is positive. -4 -6 -2 2 2 4 -6 -00 < < 00 0<< 00 C -2 <<2 -00…

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Q: -6 Ay 15- -15-

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Q: 1988IXNYQIAMIMOILYYQ4OKMSIIUTJZN90-IR4Dgl5pylocg/ IResponse 4 2- -5 -4 -3 -2 1 2 4 -2 -3 -4 -5 5 3.…

A: From the given graph, we find the value which would not be included in the domain of the function.…

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Q: solve for y to determine if y is a function of x. If it is, express it using function notation. What…

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Q: -601 -40 20 -10 -5 5 10

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Q: When is a function never negative

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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.