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please answer a. b. c. and explain (2 photos attached)
For the piecewise linear function, complete...
please answer all this is all the information that was given Provide an appropriate response. ...-18+,x1...
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answer all
this
is all the information that was given
Provide an appropriate response. ...-18+,x1 Let f(x) = 2**•***- 1 - *** Its graph follows. 4x=1 (a) Find the indicated (infinite) limits: (You may use the graph above or the function notation to calculate the limits.) (i) --- f(x) (ii). f(x) (iii) f(x) (iv) = f(x) (b) Is there a vertical asymptote at x = 2? (Use limits to justify your answer.) MacBook Ai (b) Is there a vertical...
PLEASE ANSWER ALL! SHOWS STEPS 2. (a) Prove by using the definition of convergence only, without using limit theo- (b) Prove by using the definition of continuity, or by using the є_ó property, that 3...
PLEASE ANSWER ALL! SHOWS STEPS
2. (a) Prove by using the definition of convergence only, without using limit theo- (b) Prove by using the definition of continuity, or by using the є_ó property, that 3. Let f be a twice differentiable function defined on the closed interval [0, 1]. Suppose rems, that if (S) is a sequence converging to s, then lim, 10 2 f (x) is a continuous function on R r,s,t e [0,1] are defined so that r...
real analysis 1,3,8,11,12 please 4.4.3 4.4.11a Limits and Continuity 4 Chapter Remark: In the statement of T...
real analysis
1,3,8,11,12 please
4.4.3
4.4.11a
Limits and Continuity 4 Chapter Remark: In the statement of Theorem 4.4.12 we assumed that f was tone and continuous on the interval I. The fact that f is either stric tric. strictly decreasing on / implies that f is one-to-one on t one-to-one and continuous on an interval 1, then as a consequence of the value theorem the function f is strictly monotone on I (Exercise 15). This false if either f is...
1. Consider the function. (a) Draw the level curves of this function for levels c = 0, 1, 2. Please clearly label each level curve with the appropriate value of c. (b) Use the previous answer to sketc...
1. Consider the function. (a) Draw the level curves of this function for levels c = 0, 1, 2. Please clearly label each level curve with the appropriate value of c. (b) Use the previous answer to sketch the graph (c) Find all first and second order derivatives of this function. (Please label all your derivatives clearly.) (d) Find the equation of the tangent plane to 2.. Let (a) Show that does not exist. (b) Show that does exist and...
Obtain graphical and numerical evidence concerning the existence of the questions below
math 171 calculus projects 1, can you please help with the math questions 1,2, and 3 they have been attached below.MATH 171 - CALCULUS IPROJECT lNote: Make sure to show all supporting work to receive full credit. Your answers should be stated in the context of the problem and include appropriate units where applicable.1. Obtain graphical and numerical evidence concerning the existence of \(\lim _{x \rightarrow 0} \frac{50 x^{2}}{\sin x+50 x^{2}} .\) You must provide:- A graph using a window...
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determi...
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves...
You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). x 3 4 8 16 26 36 y 45 53 75 100 150 200 Complete parts (a) through (e), given...
please do problems a-c, thank you 1.7 Preview Activity: Limits, Continuity, and Differentiability A function f...
please do problems a-c, thank you
1.7 Preview Activity: Limits, Continuity, and Differentiability A function f defined on the interval 4 < x < 4 is given by the graph shown here. Use the graph to answer the questions. a. For each of the values a = -4,-3, -2,-1,0, 1, 2, 3, determine whether or not limf(x) exists. If the function has a limit Lat a given point, state the value of the limit using the notation limf(x) L. If...
Real analysis 10 11 12 13 please (r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and li...
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x D...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
please
answer all
this
is all the information that was given
Provide an appropriate response. ...-18+,x1 Let f(x) = 2**•***- 1 - *** Its graph follows. 4x=1 (a) Find the indicated (infinite) limits: (You may use the graph above or the function notation to calculate the limits.) (i) --- f(x) (ii). f(x) (iii) f(x) (iv) = f(x) (b) Is there a vertical asymptote at x = 2? (Use limits to justify your answer.) MacBook Ai (b) Is there a vertical...
PLEASE ANSWER ALL! SHOWS STEPS
2. (a) Prove by using the definition of convergence only, without using limit theo- (b) Prove by using the definition of continuity, or by using the є_ó property, that 3. Let f be a twice differentiable function defined on the closed interval [0, 1]. Suppose rems, that if (S) is a sequence converging to s, then lim, 10 2 f (x) is a continuous function on R r,s,t e [0,1] are defined so that r...
real analysis
1,3,8,11,12 please
4.4.3
4.4.11a
Limits and Continuity 4 Chapter Remark: In the statement of Theorem 4.4.12 we assumed that f was tone and continuous on the interval I. The fact that f is either stric tric. strictly decreasing on / implies that f is one-to-one on t one-to-one and continuous on an interval 1, then as a consequence of the value theorem the function f is strictly monotone on I (Exercise 15). This false if either f is...
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
please do problems a-c, thank you
1.7 Preview Activity: Limits, Continuity, and Differentiability A function f defined on the interval 4 < x < 4 is given by the graph shown here. Use the graph to answer the questions. a. For each of the values a = -4,-3, -2,-1,0, 1, 2, 3, determine whether or not limf(x) exists. If the function has a limit Lat a given point, state the value of the limit using the notation limf(x) L. If...
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
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