Complete the proof that lim (-2x - 4): = x→3 Let & > 0. Choose = Assume 0 < x Thus = = v = |62.x| N = E. 1 01<0. DI -10 by filling in the blanks. Use "e" for & and "d" for 8.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Identify where the function f(x) = x³ – 4x² + 8x + 3 is increasing, decreasing, concave up, and…

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Q: Identify where the function f(x) = x' – 4x + 8x + 3 is increasing, decreasing, concave up, and…

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Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

Q: 3- Find the domain and ranges for V1/(1 – x3)

A: The given function is 11-x3  To find the domain and range of 11-x3

Q: f(x) = 5 – 5æ + 7x². Then state the domain of the function and the domain of the derivative. Note:…

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Q: For the function as defined that is one to one, graph f and f-1 on the same axis please: f(x) = x^3…

A: Consider the given 1 to 1 function.

Q: Determine lim(3x - 5). x----2

A: To find: limx→2 (3x-5)

Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not erist, indicate that…

A: Let's find.

Q: Write a radical function that has a limit of 5 as x approaches 10.

A: We have to find radical function that has a limit of 5 as x approaches 10.

Q: lim x X49

A: As we know that: limx→afx=fa Given: limx→ 49x

Q: For this function Y=x^3 + 15x^2 -225x prove that we have a point of inflection at x=-5

A:

Q: I want to know how to find the range and y intersept for 6+y=0

A: Consider the given equation.6 + y = 0

Q: Let R be the region bounded by y = 4 – x², the x axis and the y axis. 4- 3 2 1 = The solid obtained…

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Q: Evaluate f132 if lim f1x2 = 5, lim f1x2 = 6, and f is right- xS3* xS3- continuous at x = 3.

A: Known fact: A function f is said to be right continuous at a point a if limx→a+fx=fa.

Q: Find the value of the expression lim 2x2+5x-7 h-2 x-1

A: LetWe have to find the value of the above limit.

Q: and h be the functions defined by g(x) = -2x² + 4x + 1 and h(x) = ;x² – x 7 - x 2 Let If f (x) is…

A: use the Sandwich(Squeeze) theorem

Q: 5 4 2 -a 5 -4 -3 -2 -1 1 2 3 4 5 a 7 -1 -2 -3

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Q: Let f(x) = 7x? 7x +3. Calculate and simplify the following expression where a + 6 f(b) – f(a) b- a |

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Q: lim.                          x^5 x --> - infinity

A:

Q: Evaluate Limit = Use "infinity" for "oo" and "-infinity" for "-". lim 8118 3x4 - 3x² 5x6 +8

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Q: -dx (use 2 5+x C when you evaluate Let x = 3.63, and y = 4.58. Determine the value of decimal…

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Q: lim as x goes to -3 of (4(2x+1)^2-100)/x+3

A: