x2-x+k 5. For what value of k does lim- exist? x→3 x-3 А. З В. 1 С. —6 D. -12

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: 2. f0x) =D(금x-푸)+3

A:

Q: For the equation of h(x)=-10x^4-9x^2-8x+8; x=-6 Evaluate the function for the given value of x

A: The function is given by hx = -10x4-9x2-8x+8 To evaluate: The value of the function at x =-6

Q: (a) State the x- intercept(s). as coordinate pt(s). (x.y) 16. 4- 3 (b) State the y- intercept(s). as…

A: It is known that, The x intercept is the point where the line crosses the x axis. At this point y =…

Q: X>0০ कलामह ही ही। lim LS 15 X১-০০ 3xt 2 ए

A: The value of limit can be computed as follows.

Q: For a certain set of road conditions the stopping distance of a car is given by the formula d= 0.3s…

A: The speed of the car is 64 kmph

Q: The graph of a function f (x) =x²(x² – 24) is given. A 150 100 50 + -8 + -6 + 10 -10 -2 50 -100 -150…

A:

Q: x4-a4 If lim (108 * T), find the value of "a". С. Note: T= 96 хза х-а

A: This question is related to limit.

Q: Determine the function ƒ represented by the graph of the line y = ƒ1x2 in the figure.

A: given: the graph of the function y=f(x). the given points are: (0,-1) and  (3,-3).

Q: write the domain in interval notation.

A: Domain are the set of value for which the function exists . Consider an equation f(x)=ax2+bx+c . If…

Q: From the graph, which of the statements will complete the second missing piece-wise define…

A:

Q: Determine the horizontal asymptote of each function. If none exists, state that fact. answer…

A:

Q: Q2: Rationalizing: 1. 8. 3/2 2. 3 5 + /6 3. V7 - 3 4

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Consider the graph of the following function. f(x) 5+ 4- 3- A- -5 -4 -3 -2 -1 0 (-∞0,00) O(-3,4) O…

A:

Q: Over what interval is the graph of y= x-2| increasing? O A (2, 00) O B (-00, 2) OC (-0, -2) O D.…

A: When y= |x|    y=-x at x<0 y=x  at x>0

Q: lim ×ャ6x+ メー

A:

Q: X~N(253, 39).  Find P(260< X < 340).  (Round to 3 decimal places.)

A:

Q: Considen the nelations x'tu?=\6 cnd y=V16-x3. SKetch each retation and detenmine whether each…

A:

Q: Rewrite each function, differentiate, and then simplify (no negative exponents!) Function Rewrite…

A:

Q: Evaluate the function y=-3•4^x over the domain {-2,-1,0,1,2,3}. As the values of the domain…

A: Function : It is a special type of relation form Set A to Set B (non empty sets) such that  Each…

Q: What is the function? Vertex: Мах or Min? X intercepts: 6 -5 4 -3 2 -1 1 2 3 4 $ 6 x Y intercepts:

A:

Q: For the function (x) = locate the local maximum(s) and minimum(s). A. local minimum (-V27,7.8) and…

A: The graph is shown below:

Q: Q 5 // Graph of the following function represented Square Shape With Rotation By (90 degree) in…

A:

Q: One tiny insectAis crawling rightward along thex-axis, and another insectBis crawlingupward along…

A: Given: A is moving through the point (12,0) with speed 6, and B is moving through the point (0,5)…

Q: Using the discriminant, ALGEBRAICALLY determine the nature of the roots for y=4x^+4x-3. 2. A

A:

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.