lim X->15 x+10 5 x-15 c/+X

Q: 3. Determine whether the sequence an = n cos ní is bounded, bounded above. bounded belew, or none of…

A:

Q: Find the derivative of the function. f(x) = arcsin (et) f'(x) = Find the domains of the function and…

A: To find out the derivative of the function.

Q: Use the formula for nPr to evaluate the expression 9P4.

A: Given: The given expression is: 9P4. n = 9 r = 4 Formula Used: Prn = n!(n-r)!

Q: Expand:

A: Given data, log7x549y10

Q: Assume that ƒ(x) is everywhere continuous and it is given to you that ƒ(2) = −7 and f(x)+7 lim x→2…

A: Given query is to find the equation of the tangent

Q: Graph the polynomial given below by first selecting the number of points you will need, then move…

A:

Q: The highway mileages of 147 cars are in a file named CARS2.+ These cars are 2003 models. Find the…

A: Mean Formula The mean formula is defined as the sum of the observations divided by the total number…

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: Let the length of fence be L feetLet the width of fence be W feet

Q: 6 5 4 3 2 1 y = f(x) 012 lim h→0 = lim f(f(x) + 1) = x → 1- 3 I f(0 +h)-f(0) h I 4 5 I I Enter each…

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

Q: Il Inverse trigo functions 1.y = √x² - 4 + 2arc(csc)

A: y=x2-4+2arccscx2

Q: Find dx x ² + 11xy + y² =2 a

A: Please see the below picture for detailed solution.

Q: Solve: cos 2x + 3 sin x - 2 = 0, 0≤ x<2π.

A: Given data:- The given trigonometry equation is, cos2x+3sinx-2=0, 0≤x<2π

Q: . For what values of r does the function y = er* satisfy the differential equation y" - 4y' + y = 0?

A: Please see the below picture for detailed solution.

Q: (a) Using a graphing utility, graph f1x2 = x3 - 9x for- 4 ... x ... 4.(b) Find the x-intercepts of…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Evaluate the following limits, making sure to justify your calculations as much as possible: lim…

A: See this solution in below.

Q: Compute f' and find an equation of the tangent line to the graph at x = a. f(x) = 9x-³, a = 5. (Use…

A:

Q: A community skating rink is in the shape of a rectangle withsemicircles attached at the ends. The…

A: Given data, The length of the rectangle given is 20 ft less than twice the width. The thickness of…

Q: Problems: 1.(x³ + xy² − y)dx + (y³ + x²y + x)dy = 0 2. (ex siny + ey)dx - (xe-y-e* cosy)dy = 0

A:

Q: Let f(x) = √√4x² 4x² + 3x + 5

A:

Q: Find dx dx || by implicit differentiation. 6x² + 7xy - y² = 8

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the equation of the tangent line to the graph of f(x) = √x + 100 at the point (0, 10).

A: Given query is to find the equation of the tangent.

Q: find the average rate of change from 2 to 3 for each function f. Be sure to simplify.   f1x2 = 3x -…

A: The average rate of change of function denotes how much the function changed per unit over the given…

Q: Solve by the method of your choice:Using 15 flavors of ice cream, how many cones with three…

A: Given: n = 15 r = 3 Formula Used: Prn = n!(n-r)!

Q: Why did you subtract 115-105 in question #2 and not 110-105? Where did 115 come from?

A: Note:  After seeing the previous solution, we observe that the expert has provided the wrong…

Q: A restaurant dinner menu includes the following statement. "All dinners are served with a choice of:…

A:

Q: Set f(x) Question 1 Solve the equation f'(x) = = 0. If there are more than one solution, separate…

A: Explanation of the answer is as follows

Q: Evaluate: 1. lim [√x² + x − √x² + 4] = X→ +∞ 2. lim [(x²-In(x + 1)) cotx] -0-x

A:

Q: 11. For the following series, is it convergent? If yes, is it absolutely convergent? Σ+1 1 n=1 Α

A: See this solution in below.

Q: Evaluate the expression.

A: Given: The given expression is: C15·C27C312 Formula Used: Crn = n!r!(n-r)!

Q: 4. Compute limz+2 2 2²-4 Z-2

A:

Q: If the slope m of the graph of a linear function is ,the function is increasing over its domain.

A: If the slope m of the graph of a linear function is _______, the function is increasing over its…

Q: Find the directional derivative of the function f(x, y, z) = √xyz at the point (3, 2, 6) in the…

A:

Q: Consider the following limit statement: lim (9x-3) 15 x → 2 Find the corresponding value of 6 when &…

A: givenlimx→39x-3=15

Q: Let Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) Number _7_←8 lim…

A: Given query is to find indicated limits.

Q: graph each function using the techniques of shifting, compressing or stretching, and reflections.…

A: Given, hx=2x-1

Q: Evaluate (2x + 4)(3x + 2) d dx A) 6 C) 12x + 16 B) 6x² + 16x + 8 D) 30x² + 43x + 8

A: Given query is to find the Indicated derivative.

Q: A consumer purchased a computer after a 20​% price reduction. If x represents the​ computer's…

A: A consumer purchased a computer after a 20​% price reduction. If x represents the​ computer's…

Q: A chemical substance has a decay rate of 6.5% per day. The rate of change of an amount N of the…

A:

Q: 2. Find the 2nd derivative of sin (x²-1) y *2cos(x^2-1) 4x^2 tan(x^2-1) 2cos(x^2-1) + 4x^2…

A:

Q: Determine how much time is requiredfor an investment to double in value if interest is earned at the…

A: Given data:- The given rate of interest, r= 6.25%  Assume the required time is t years.

Q: Set f(x) = 1 7x³ + 3x + 2 . (1, 1/12) is on the graph of ƒ. Find (ƒ-²¹) (¹2). The point 1,

A: The solution to find the value of inverse of f(x) at 1/12 is as follow.

Q: Find the following limit. lim x-x 2+ x - 4x³-4 5 x³x²+1 Number

A: ans=  -4/5

Q: D. Verify the general solution and obtain the particular solution using the given initial…

A: Differential equation

Q: 10. Determine the convergence of the following series using the root test. If the root test is…

A: Given data:- The given equation, ∑n=1∞n+1n+2n

Q: Explain how the range of the function f1x2 = x2compares to the range of g1x2 = f1x2 + k.

A: Given: f(x)=x2 To explain: How the range of f(x) compares to the range of g(x)=f(x)+k.

Q: Find the numbers at which g is not continuous. Justify using the definition of continuity. x+2 if x…

A:

Q: You are taking a multiple-choice test that has ten questions. Each of the questions has four answer…

A: There are 10 questions in the test and each question has 4 answer choices with one correct answer.

Q: Find a formula for each function graphed in Exercises 29. а. b. (1, 1) 2 30. а. b. 2 0 30 (2, 1) 2…

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

Q: Find all the first and second order partial derivatives of f(x, y) = −4 sin(2x + y) + 10 cos(x - y).…

A: Given:- fx,y=-4sin2x+y+10cosx-y

Q: Telephone numbers in the United States begin with three-digit area codes followed by seven-digit…

A: Given: Number of digits in area code = 3 Number of digits in  local telephone number = 7 Total…