Using continuity, evaluate the limit: - 1 sin(z + sin(x)) lim X→ -

Q: 6. The value of a new speed boat depreciates at a rate of 7% per year. If the boat was bought for…

A:

Q: B. Write the recursive formula for each Sequence, Then determine the next two terms. 1:5, 9, 13, 17,…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) [39] 163-

A: find the inverse of matrix= 30   04

Q: 1. h(x) = √4x²

A:

Q: 1. Sketch the graph of the equation. x2 + y2 + 10x − 4y + 29 = 0   2. Complete the graph using the…

A: Given problems:- 1. Sketch the graph of the equation. x2 + y2 + 10x − 4y + 29 = 0 2. Complete the…

Q: 4. lim ¹-cos 2x x-0 sin 2x

A:

Q: Question 4 What is the auxiliary equation associated with the differential equation y'"-3y" +4y=0? Ⓡ…

A:

Q: 14. f(x)= a. b. C. d. lim 2--1+ f(x)= lim lim lim 3(x-3)²(x+4) lim f(x) = f(x) =

A: see below the answer and explanation

Q: A teacher is grading a test. A student got 43 out 58 points. Part A: Should the teacher estimate or…

A:

Q: (28) filx)=2x-1|-2

A:

Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

A:

Q: a) What type of model function is suggested by the observation "as the iodine concentration in the…

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost…

Q: If it is, state the domain and range of the function. (Enter your answers using interval notation.…

A: state the domain and range of the function.

Q: 53. I 0 f(x) f'(x) g(x) g(x) (A) 15 (B) 3 (C) 2 (D) -5 4 1/1/13 2 - 2 32 3339 The table above gives…

A:

Q: Considering the definition of f(x) below, find lim f(x). (If the limit does not exist, enter Ø.)…

A:

Q: Let u(t)=9t³i + (t²-1)j- 4k. Compute the derivative of the following function. u (tª - 2t) Select…

A: Apply the derivative for the function as given in the question.

Q: x³+4x²+x-6 3 sin(-x)+3x² et f be the function defined at f(x)

A: Function

Q: Sketch the region and find its area. The region bounded by y = -8 00 8 Y -00 X 36 9+x² Calculate the…

A:

Q: In Exercises 9-14, sketch the graph of the function. f(x) = 3x - 2

A: If f(x) is a function whose graph is known.  Then, the graph of f(x)+a will shift a units upward…

Q: Let f(x) = x²²-2x-24 x-6 Find a) lim f(x), b) lim f(x), and c) lim f(x). X-6 X-0 X→-4 a) Select the…

A: The objective of the question is determine the limit of the given function and choose the correct…

Q: For the point P(-22,-12) and Q(-17,-9), find the distance d(P.Q) and the coordinates of the midpoint…

A:

Q: 7 g(x) = (3x²-2)-2 2x+3 و ga) = -2 (3x²-2) -3 / (2x+3) (6x) - (3x²-2) (2) (2x+3)2 (56) = (-2…

A:

Q: d'y 2) Find the dr for the function y = secx. Reminder: combine all similar terms.

A:

Q: 1. Solve the differential equation xy dx = (x+2) dy =o

A:

Q: The following table gives the number II(t), in millions, of adult Americans with Internet access in…

A: NOTE: Refresh your page if you can't see any equations. . t 2000 2003 2009 I 101 160 190 .…

Q: 12. Simplify with the goal in mind to cancel the h that is in the denominator. -1 -1 2(x+h)² 2x²…

A:

Q: e number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate of…

A: Please refer to the image below

Q: What is the summation form of the Maclaurin series for 1/(sqrt(1-x2))? Hint: Find the first few…

A: Solution:

Q: 3. The number of sales per day S(t), measured in thousands, of a new toy is found to be 400 t+25…

A: Need to answer the following parts for the given sales function with respect to the number of days.

Q: Write 11 Stan¹¹ iftan x dx in terms of 9 tan x dx

A: The integration of tan11x write in terms of tan9x.

Q: 2. Set up the integral to find the value of the area bounded by the graphs. You do not need to…

A:

Q: b. lim X-C * 17 x c where c is some fixed real number.

A: Above question is solved.

Q: If an investment decreases 1% the first year, 6% the second year and 9% the third year, what is the…

A:

Q: A certain drug is being administered intravenously to a hospital patient mg Fluid containing 3 of…

A: A certain drug is being administered intravenously to a hospital patient. Fluid containg 3 mgcm3 of…

Q: (b) Evaluate the integral x + 3 (4-5x2) 2 dx.

A:

Q: Find the first six terms of the recursive sequence. a₁ = 1, an+1 = 3 - an a₁ a2 = a3 = a4 = a5 = a6…

A:

Q: 2. Simplify √√x² +9-5 x+4

A: Topic - Simplification

Q: Question 10 of 25 The function f(x) = x -3x3 is decreasing on the interval A)(-00, 0] D) [0,10] B)…

A:

Q: 3. Consider f(x) = Inx and g(x)= ex. Determine (fog)(x) and (gof) Simplify your answer. a) (fog)(x)…

A: Topic:- function

Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

A:

Q: 4. The graph of y = −2√x + 4 is translated 3 units to the left. State the defining equation of the…

A:

Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (1) 2 = sin(13). CIEN : (x, sin(…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B)…

A: Differential equation

Q: Find the domain of the function. (Enter your answer in interval notation.) h(x): = 4 x28x

A: domain of the function h(x)=1x2-8x4

Q: Consider the following graph. YA Determine whether the curve is the graph of a function of x. Yes,…

A: Graph of a curve is given, we have to find its domain and range

Q: The rate of change of the variable y with respect to x is equal to the expression 5x*-3e***. What is…

A: rate of change of variable y with respect to x is =dydx

Q: Express 2187 as a power of 3

A:

Q: If an investment increases 1% the first year, 5% the second year and 9% the third year, what is the…

A: Let the investment at starting is = x   Increase in first year =1 % increase in second year = 5%…

Q: Find a2 and a3 for geometric sequence 8, a2, a3, 27

A:

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem