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Question 1036488:
a) Find the following limits, if they exist:
i. 
ii. 
iii. 
iv. 
v.
b) Is f continuous at x = 1?
c) Find the value of c which makes f continuous at x = 3.
Was having some coding issue with the negative and positive sign, sorry for the inconvenience.
Details instructions provided will be appreciated. Thankyou
Click here to see answer by davidhk30(1) |
Question 1037696: Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.)
Function Value Constraint
sin θ = 0 sec θ = −1
sin θ =
cos θ =
tan θ =
csc θ =
sec θ =
cot θ =
Click here to see answer by Alan3354(69443)  |
Question 1038078: A1. Find an example of a function f such that:
-the line y = 2 is a horizontal asymptote of the curve y = f(x), and
-the cures intersects the line y = 2 at an innite number of points.
Note: For full marks, prove that lim x->1 f(x) = 2, find all intersection points, and sketch a graph of the curve and the line y = 2.
A2. Let f(x) = x3 - bx for some real number b.
a. Find f(x) using the limit definition of the derivative.
b. If the curve y = f(x) has a horizontal tangent line at a point with x = 2 find the
y-coordinate of this point. (Your answer should be a real number, not an expression
involving b.)
Been struggling with these 2 questions...Thankyou
Click here to see answer by Boreal(15235)  |
Question 1039398: Has been struggling with these two questions in my calculus assignment, these are some derivatives releated questions.
Thankyou for the help!
A1. The equations
(1) for r > 0
(2) for c not equal 0
represent two different families of curves. Different values of r give different curves in (1); similarly, different values of c give different curves in (2).
Show that every curve in the family (1) is orthogonal to every curve in the family (2). That is, show that at every point of intersection, the tangents to the curves (1) and (2) are perpendicular. (Note that you are not asked to find the intersection points.) Sketch some examples of curves from both families on the same axes.
A2. A particle moves on a horizontal line so that its coordinate at time t is:
, t larger or equal to 0
a. Find the velocity and acceleration functions.
b. When is the particle moving forward and when is it moving backward?
c. When is the particle speeding up and when is it slowing down?
Thankyou!
Click here to see answer by Fombitz(32388)  |
Question 1040093: A1. A balloon is rising vertically at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a speed of 15 ft/sec. When he passes under the balloon, it is 45 ft above him. How fast is the distance between the boy and the balloon increasing 3 seconds later?
Thankyou!
Click here to see answer by josmiceli(19441)  |
Question 1041435: A1. Consider the function .
a. Determine the critical points of f.
b. Determine the absolute maximum and absolute minimum values of f on the interval[-2, 2]
A2. Suppose that f is a polynomial of degree n, where n ≥ 2. Show that if f has n distinct roots, then must have distinct roots.
Thankyou for looking over!
Click here to see answer by solver91311(24713)  |
Question 1042010: The split rail fence company sells three types of fence to home owners in sub urban Seatle Washington Grade A costs $5.00 per running foot to install. Grade B costs$6.50 per running foot and Grade C costs $8.00 per running foot. In last month Split Rail installed 270 feet of Grade A, 300 feet of Grade B and 100 feet of Grade C. What is the mean costs per foot of fence installed?
Click here to see answer by jorel555(1290) |
Question 1042009: Q No 3- The unemployment rate in the state of Alaska by month is given below in the table.
Jan 8.7
Feb 8.8
Mar 8.7
Apr 7.8
May 7.3
June 7.8
July 6.6
Aug 6.5
Sep 6.8
Oct 7.3
Nov 7.6
Dec 6.5
i. Find Arithmetic Mean, Median, And Mode of the unemployment rate.
ii. Compute the Arithmetic Mean and Median for just the winter (Dec-March) months, Is it much different? Comment?
Click here to see answer by solver91311(24713)  |
Question 1042966: A solid metal cylinder B has volume 216cm^3.
-Calculate the volume of a cylinder which has the same height as B but base radius twice that of B.
-Given that the cylinder B is melted down and made into a cube, calculate the length of an edge of the cube.
Click here to see answer by ikleyn(52781)  |
Question 1052920: I have to find the value lower than M23 of the matrix given. A=[4 3 5, 4 1 9, 2 1 6] (It looks like a chart. But they're organized in 3 rows. 4 3 5 being the first, 4 1 9 being the second, and 2 1 6 being the third. Enclosed with parentheses like the ones I just used and without the commas. Help?
Click here to see answer by ikleyn(52781)  |
Question 1052873: The formation of Fe2O3 from iron and oxygen at 298 K is depicted below.
2Fe(s) + 3/2 O2 (g) ----> Fe2O3(s) triangleH= -824.2 kJ mol-1
Assuming the heat capacities do not change with temperature, what would the reaction enthalpy be at 657 K? CP.m is the constant-pressure molar heat capacity for a compound.
Fe=25.10 J k-1 mol-1
O2= 29.36 J k-1 mol-1
Fe2O3= 103.85 J k-1 mol-1
Click here to see answer by ikleyn(52781)  |
Question 1053097: MATRICES: Inverse Matrix and Applications
Maria has $45,000 to invest and wants to receive a yearly interest of $4,290 of that money. She chose investments that pay 5%, 8%, and 12% of simple interest. She wants the inverted amount at 12%, to be double the amount inverted at 8%. How much would Maria need to invest of each percent or rate?
Whenever I try to apply the formula for an inversed matrix, the answer is wrong. Help?
Click here to see answer by ikleyn(52781)  |
Question 1053096: MATRICES: Inverse Matrix and Applications
The perimeter of a rentangular frame of a photo is 11 feet. If 3 times the height is equivelant to 8 times the width, how many feet does the width of the frame have?
I'm having a hard time applying the formula to this word problem. Help?
Click here to see answer by ikleyn(52781)  |
Question 1053355: Logarithm Function:
A thermometer marks a reading of 79 degrees fahrenheit, located inside a storage room that has a constant cold temperature reading of 37 degrees fahrenheit.If the thermometer reads 74 degrees fahrenheit in 13 mins, how much time would you have to wait until it reaches a temperature of 54 degrees fahrenheit? (Assuming that the cold follows the laws of newton. Circle the answer to the nearest whole minute).
Click here to see answer by htmentor(1343)  |
Question 1054390: There was an experienced employee and a student. It took them 6 months to complete a project together. The student works 3 times slower than the experienced employee. How long would it take the student to complete the project on his own
Click here to see answer by jorel555(1290) |
Question 1072203: A toy store company wants to make a profit of $18 for every video game sold and $23 for every game system sold. The company has set a profit goal of at least $908 per day. Which of the following combinations of sales reach this goal?
Click here to see answer by stanbon(75887) |
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