do no.10 pls and show full work (1) Find the limit. Say why LH rule (l'Hospital's rule) applies to this case and then use thatsin x - xrule to find the limit(2) Calculate the limit. lim(4)(3)Find the intervals on which function f is concaving up or concaving down and findthe inflection point(s). f(x)= x³ 3x² - 9x +4In xx→∞0 √x(6) If f(x) =Find the critical numbers of the function. f(x) ==(5) Sketch the function (Must show the details)f(x) = {x² - 2x2 -limx-0 (e²x) - 1x+1(10)+ cos xwhen - 1 ≤ x ≤0when 0 < x≤ 1find f(1).(7) Find the equation of the tangent line at (,0). For y = sin (sinx)x²+22x-1(8) Implicit Differentiation problem -- If y cos(x) + x = 5 find y" where x = 0. (MUST useimplicit differentiation approach for credit)(9) Suppose 4x² + y² = 25(a) If dy/dt = 1/3. Find dx/dt when x = 2.Note: x and y are length in meters(b) if dx/dt = 3, find dy/dt when x = -1, Note: Both x and y have negative values.Find the limit or show it does nor exist (DNE).limX4182x5-x-2x4 +3

Answered: Image /qna-images/answer/a87a12fd-a58a-497f-9f6b-e0c6fceaa4b8.jpg

Answered: (10) Find the limit or show it does nor…

Math

Calculus

(10) Find the limit or show it does nor exist (DNE). lim 2x5-x-2 x¹ +3

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: We find the volume of the given solid.

Q: 3- The cost function of a manufacturing company in order to produce x items is C(x) = 2 log (x + 2),…

Q: h. 762 mg to g i. 32µg to g j. 3200 g to ug

A: As per our guidelines we are suppose to solve only three sub-parts if the multiple subparts are…

Q: 1 -dx x(x² + 1)

Q: Find the center of mass of the given system of point masses. (x, y) = mi (x, y) (2, 2) 5 1 (-3, 1) 4…

Q: A ball is thrown upward from the ground with a speed of 112 ft/sec. (a) Find its height above the…

A: To find height above the ground t sec later And Max height, if initial velocity is 112ft/sec

Q: Part. e. True or False: f(x) x = 3, x=- 3. = x-3 2 3x-8x-3 has two vertical asymptotes:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to…

A: Critical numbers refer to the values of a function where it's first derivative is equal to .Use the…

Q: The chart below gives information about the derivative of a function f (x). f'(x) + + + +0---0- 4 0…

Q: Solve the following system of equations: (1) x - 5y + z = 12 (2) -y + 2z= 8 (3) Z = 0

Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y…

Q: The volume of air in a person's lungs can be modeled with a periodic function. The graph below…

A: The period of a sinusoidal function is the time taken to complete one cycle.

Q: 9. Find the work done by the force field F(x, y, z) = —— xi the helix from the point (1,0,0) to…

Q: Q1.1 Sand is poured into a conical pile with the height of the pile equaling the diameter of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find all points on the surface given below where the tangent plane is horizontal. z=x²-3xy-y²-44x +…

A: z = x ^ 2 - 3xy - y ^ 2 - 44x + y

Q: 21 A father makes a deal with his son regarding his weekly allowance. The first year, he agrees to…

A: Given:We are required to find:

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

Q: Find the area of the sector of a circle with diameter 26 feet and an angle of 7π/4radians. Round…

A: Area of the Sector of a circle = sq.unitswhere angle in radians radius of the circle

Q: Find the exact value of sin 11 in simplest form with a rational denominator. 6 Answer: undefined…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve and write interval notation for the solution set. Then graph the solution set.

A: The inequality is given as

Q: Minimize subject to: 2x + y ≥ x ≥ 0 y ≥ 0 -10 Select one: z = 4x + 5y 2x - 4y ≤ 10 15 -10- 10' x a.…

A: The common region satisfied by all the given set of constraints including the non-negative…

Q: The vertices of quadrilateral PQRS are given below. Use the distance and/or slope formulas to…

A: Vertices of PQRS are given as below, P(-6, 4) Q(-2, 7) R(-1, 0) S(-5, -3)

Q: A cylindrical tank has a radius of 2 m and a height of 7 m. The tank is filled with water. Find the…

Q: A water tank is built in the shape of a right cylinder cone and has a height of 5.0m and a diameter…

Q: -5 -14 -2 Find lim -1- Find lim 2 ●1 #4-1+ J f (x) f(x) Find lim f(x) HI-1 -2 03 -$+ 2 Find f (-1)…

A: Explanation of the answer is as follows

Q: Find the locus of the midpoints of chords of hyperbola 3x2-2y2+4x-6y=0 parallel to…

Q: What is mZE, to the nearest degree? חח E 8 9 F 7 G

Q: Question 9 S² √1+1³+¹ dt. Find 9(a) Let F(x) = 150 9(b) Use integration by parts to find dF dr cosh…

Q: Find the arc length of the graph of the function over the indicated interval. X = = (y² + 2)³/², 0≤…

Q: Graphical limits: Use the graph provided below to write a value for each part (if i exists). If the…

A: Graph of the function f(x) is given. Based on the step value within the particular range we can…

Q: Evaluate the definite integral that represents the area of the surface generated by revolving the…

Q: Let f(x)= 1+ 4x 5- 2x (i) What is the domain of f(x)? (ii) What is the range of f(x)? (iii) Find the…

Q: • SSS₁₂² Round your answer to four decimal places. Find z dV, where E is the solid tetrahedron with…

A: Applying limit on given integration

Q: Write a slope-intercept equation for a line with the given characteristics. Passes through (7,2.5)…

Q: Please give me answer very fast in 5 min

A: Since you have posted multipart questions i do part a, b with all details, submit part c with…

Q: Which a. b. c. C. of these is correct? AXA = |A|² A x B + BxA =0 A.B.C=B.C.A

A: as cross product of same vectors is zero, therefore the first statement is…

Q: thank you so much, would you provide interval of increase and decrease

A: The given curve is y = cos(x+1)

Q: 0 The following limit results in when you first try to plug in the limit value. 0 Complete the steps…

Q: 1.*h (d) Use a suitable trigonometric substitution to find dr.

A: Here we have used trigonometry substitute

Q: sinx 6. S dx cos² x

A: Integration

Q: Q4.3 The human body's reaction to a dose of medicine can be modeled by a function of the form F = 1…

A: The human body reaction to a dose can be modeled by the function where K is a constant M is the…

Q: The square region with vertices (13,0), (26,13), (13,26), and (0,13) is revolved about the x-axis to…

Q: Solve and graph 12x² <7x+10

Q: 55. x³y"" - x²y" + xy' = 0 C

Q: 2 ľ xe2xdx

Q: Find a function f and a number a such that f(x) = a-7 f(t) + f² d t4 1+ -dt = 6x-¹ -1

A: NOTE: Refresh your page if you can't see any equations..take derivative on both sides

Q: Numerical Response Given y=x²-5x+6 and y=-2(x-3)² +7, determine to the nearest hundredth, the…

Q: Q4.1 According to Debye's formula in physical chemistry, the orientation polarization P of a gas…

Q: k. 75 µg to mg 1. 72 µl to ml m. 2 L to ml

A: Since you have asked more than 3 sub parts.Here is answer of first three parts.please repost others…

Q: Solve the trigonometric equation for all values 0 < x < 2π. Answer: /3 csc x = 2 Submit Answer

Question

do no.10 pls and show full work

(1) Find the limit. Say why LH rule (l'Hospital's rule) applies to this case and then use that
sin x - x
rule to find the limit
(2) Calculate the limit. lim
(4)
(3)
Find the intervals on which function f is concaving up or concaving down and find
the inflection point(s). f(x)= x³ 3x² - 9x +4
In x
x→∞0 √x
(6) If f(x) =
Find the critical numbers of the function. f(x) =
=
(5) Sketch the function (Must show the details)
f(x) = {x² - 2x
2 -
lim
x-0 (e²x) - 1
x+1
(10)
+ cos x
when - 1 ≤ x ≤0
when 0 < x≤ 1
find f(1).
(7) Find the equation of the tangent line at (,0). For y = sin (sinx)
x²+2
2x-1
(8) Implicit Differentiation problem -- If y cos(x) + x = 5 find y" where x = 0. (MUST use
implicit differentiation approach for credit)
(9) Suppose 4x² + y² = 25
(a) If dy/dt = 1/3. Find dx/dt when x = 2.
Note: x and y are length in meters
(b) if dx/dt = 3, find dy/dt when x = -1, Note: Both x and y have negative values.
Find the limit or show it does nor exist (DNE).
lim
X418
2x5-x-2
x4 +3

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: solution

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find limit, if it exists. If the limiting value is infinite indicated if its positive or negative a) lim where f(x)= 2x+9 if x is less than equal to 4 x->4+ x^3-6 if x is greater than 4
Let ƒ(x) = (3^x - 1)/x. a. Make tables of values of ƒ at values of x that approach c = 0 from above and below. Does ƒ appear to have a limit as x --> 0? If so, what is it? If not, why not? b. Support your conclusions in part (a) by graphing ƒ near c = 0.
Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−2 x3 + 8 x2 + 7x + 10 If the limit does not exist, say why. (If the limit does exist, so state.) The limit does not exist because the left and right limits exist but are not the same finite value.The limit does not exist because only one of the left or right limits exists as a finite value. The limit does not exist because one side diverges to ∞ and the other side diverges to −∞.The limit does not exist because it diverges to ∞ or −∞.The limit does exist and is a finite number.
1. Evaluate lim (2x-5) given its graph below. x →2 a.0 b. -1 c. 2 d. 1 2. Given the graph of f(x) below, evaluate its limit as x approaches 3. a.2 b. 3 c. 1 d. 0
Let ƒ(x) = (3x - 1)/x. Make tables of values of ƒ at values of x that approach c = 0 from above and below. Does ƒ appear to have a limit as x→ 0? If so, what is it? If not, why not?
1. If limit of f(x) -8/x-1=10 as x approaches 1, find limit of f(x) approaches 1 2. If limit of f(x)/x^2 = 5 , find the following limts, a) limit of f(x) as x approaches 0 and b) limit of f(x)/x as x approaches 0. 3. Show by means of an example that limit of ( f(x) +g(x) ) as x approaches zero may exist even though neither limit of f(x) approaches a nor limit of g(x) exists as x approaches a
Let h(x) = (x2 - 2x - 3)/(x2 - 4x + 3). a. Make a table of the values of h at x = 2.9, 2.99, 2.999, and so on. Then estimate limx-->3 h(x). What estimate do you arrive at if you evaluate h at x = 3.1, 3.01, 3.001,......instead? b. Support your conclusions in part (a) by graphing h near c = 3 and using Zoom and Trace to estimate y-values on the graph as x--> 3.
Q2)valuate the limit: Limit x approach to 2 [sin(pi.x)]/[x^2-x-2]
Find the limit of lim((9+3x)1/2-3)/x as x approaches 0
(a) Estimate the value of lim x→ - infinity square root x^2+x+1 +1 by graphing the function f(x)=square root x^2+x+1 +1 b) use a table of values of f(x) to guess the value of the limit.
determine the limit limh→0[(x+h)2-x2]/h by treating x as a constant. determine the limx→0cos(2x)/x determine the limx→0 sin(2x2)/xtan(4x) Thanks in advance.
Find the limit by using l'Hospital's Rule: lim (x->0+) [(xx - 1)/(lnx + x -1)]