Q3: Choose A or B (one only) fx2 +2x x-6x if xs-2 if x>-2 A) Check the continuity of the function f(x) at x = -2 f(x) = 3-Vx+9 B) Without using L'Hopital's rule, find: lim

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: determine where the function is concave upward and where it is concave downward    g(x)= -X^2+7x+8

A:

Q: what is a cubic plolynomial function in standard form with zeros -4, -5 and 4 a.…

A: given zeros -4,-5 and 4

Q: Suppose that f(x)=(x+2)(x-2)^2. (G) Use interval notation to indicate where f(x) is concave down.…

A:

Q: f(x) = x^3 - 9x^2 - 45x - 27. Find the remaining zeros given that -3 is a zero of f(x). O (-3, -6 +…

A: Given f(x) = x3 - 9x2 - 45x - 27

Q: Analyze the polynomial function f(x)=x^3+2.56x^2−3.31x+0.89   a) Find the domain and the range of…

A:

Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

A:

Q: f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the…

A:

Q: for the function f(x)= (x+1)/(x^2+3), evaluate and simplify the following a. f(-1) b. f(2a) c.…

A: Explanation of the solution is given below..

Q: Express the rule "Subtract 11, then square" as the function f(x) = I.

A:

Q: .) What is the range of the function y= x^2 - 6? b.) For the function g(x)= x^2 +3x - 5, what is…

A:

Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

A: We have to check

Q: (b) (2 points) use the Concavity Theorem to determine where f(x) is concave up and where it is…

A:

Q: Find and simplify  f(a+h)-f(a)/h , (h does not equal 0) for the following function…

A:

Q: Move the three points so that they form the function f(x) = (x – 5)*(x + 4)²(x– 1). Press the button…

A:

Q: A student writes the following for the function f(x) = (x-2)/(x^2-8x+8): "The domain of f(x) is…

A: Given: x-2x2-8x+8

Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.

Q: Suppose f(x)=-16002x^4+3201x^3-20578x^2+4017x+15 a.What is the “end behavior” of this function?…

A: Consider the function: a) End Behaviour: fx=−16002x4+3201x3−20578x2+4017x+15 When x goes to infinity…

Q: Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection

A: To find- x-coordinates  of all points of inflection.

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.