Find the difference quotient for each real number h where the difference quotient is defined for the function f(x)=3x^2+1 at x0=5

Q: скоеалете 11 Tuesday # How many tangent lines to the curve y=x_q x-9 1 pass through the point (1,…

A:

Q: Problem 2. cos (x) (a) lim x+1 √√x-1

A:

Q: 6 When a theater owner charges $5 for admission, there is an average attendance of 180 peopre. For…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Given the graph of f, find any values of x at which f' is not defined. Ox=1 Ox=2 Ox=-1 Ox=0 412

A: Given that a graph of function f and we find any value of x at which f is not defined.…

Q: Find the slope of the curve at the given point. 8y +7x5=5y + 10x at (1,1) The slope of the curve 8y…

A: I am attaching image so that you understand each and every step.

Q: 8) Prove sin (x+y) sin (x-y) = tan(x)+tan (y) tan(x)-tan (y)

A:

Q: Find the equation of the tangent line to 7x² -5xy + y² = 3 at the point ts)

A: Need to find out the equation of the tangent line.

Q: 10. A house purchased for $430,000 appreciates at a constant rate of 8% each year (i.e, annual…

A:

Q: 47-56. Derivatives of inverse functions at a point Consider the following functions. In each case,…

A: f(x)=log103x  ; 0,13 We have to find, ddxf-1(0)

Q: Determine if the series converges or diverges. k² 100 12t k k=1 (a) Converges (b) Diverges

A: Given query is to find limit converging or diverging.

Q: 3) Find all the solutions to 3(1 − cos 0) = 1- cos² 0.

A:

Q: = mx + b, f(-2) = 3, and f (4) = 1 What is the value of b? 04 011 3 73 01 0-1/

A:

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…

Q: What is the correct form of the partial fraction decomposition for the following integral? x² +1 √(x…

A:

Q: 31. At the beginning of a study, a certain culture of bacteria has a population of 80. The…

A:

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 3n 201 3n…

A: Use the comparisonn test

Q: Consider the function f(x) = 12x5 + 30x¹ 300x³ + 4. f(x) has inflection points at (reading from left…

A:

Q: Sunday - let lim (1x) = -8 and lim glx) = -5. Find lim [-5(1x) -8960) 2-2 x > ² [ 3+ g(x) X42 Do…

A:

Q: QUESTION A10 (5 The equation of a straight line given y = bx + a, where b is equal to +5. What can…

A: y=bx+a where b = 5   y = 5x + a   here b = 5  is slope of the line.

Q: Which of the following is the equation of the tangent to the graph of y=esin at the point x = π ?…

A: Here is the solution:

Q: 2. Determine whether the series (a) Converges 00 (b) 5 3/2 converges or diverges. Diverges

A: need to find out the the series converges or diverges.

Q: You are a lifeguard and spot a drowning child 40 meters along the shore and 50 meters from the shore…

A: Distance along the shore= 40m Distance from the shore= 50m Run speed = 4 m/sec  Swim speed = 0.9…

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 Σ1 4 + 1…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A:

Q: System of linear equation + 2y + 2z = 12 X 3х - зу x by -3y - 2z = -9 +y +2₂=7

A: Given : Gauss-Jordan Elimination method

Q: R is the region bounded by the functions f(x) = 1-3√x and g(x) = -3-2. Find the area A of R. Enter…

A: Given curves equations:- fx=1-3x,gx=-34x-54

Q: O x = 4 ve Find all points where the function is discontinuous. e

A:

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 -4 19 50 40 30 20 10…

A: To write the function in any form that would match the graph shown below.

Q: f(x) = (x+4)(x+2)(x - 1)(x-4) 9-6-6-of-, X 100 06 80 70 60 50 lob of L & E 08 10 01- -20 of ob os.…

A:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A:

Q: 6) Prove cos4x -sin+x= cos 2x

A:

Q: 33 What value of 6 would give the following function f(x) = x³ + bx² − 5x + C Select one…

A:

Q: 10 Monday lim 20 315 5 에요 글

A:

Q: dy dx An equation of a curve is given by x lny + y = 1. Which one of the following is Select one…

A:

Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

A: A function f(x) is continuous at x=a iff  limx->af(x)=f(a)

Q: Solve the cystem of non lincar inequalities {y <(x-1)² Graph y ≤ lay 2 (x) y = x² Table:…

A: Let's solve system non linear inequalities.

Q: steps Ⓒ Graph R(x) = x² + 4x-5 ( list all ) x²+x-2 steps (

A:

Q: Use the Rational Zero Test to list the possible rational zeros of f. Verify that the a f(x)=x²³ +…

A:

Q: Invasive species often display a wave of advance as they colonize new areas. Mathematical models…

A:

Q: Find the absolute min and max values of each function on the given interval. f(x) = x³ - 6x² - 15x +…

A: Given function f(x)=x3-6x2-15x+1

Q: Suppose that f is a function with f'(6) = 0 and f''(6) = 2. O Then f has a relative maximum at x =…

A:

Q: Which of the following is the equation of the tangent to the graph of y = e sin at the point x = π ?…

A:

Q: 127. D = {(x, y) |x² + y² ≤ 4y}

A:

Q: Suppose that you perform integration by parts on the integral have set u = ln x and dv Select one…

A: The given integral is: I=∫x3lnxdx   Use the integration by parts; ∫udv=u·v-∫vdu And The Power rule:…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: Integration

Q: 3x 2 3x -2 3. Consider the following rational equation: + x+1 x+2 x+3 (x+1)(x+2)(x+3) a) List the…

A: Consider the following rational equation: 3xx+1+2x+2-3xx+3=-2x+1x+2x+3a To list the set of…

Q: Which of the following integrals is the area enclosed by the graphs of f(x) and g(x) shaded below? a…

A:

Q: QUESTION 16 A line integral in two dimensions may be written as F(x, y)dw. What does (i) F(x, y),…

A: We need to tell about the line integrals in 2 dimensions. Line integrals appear as one of 2 kinds As…

Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

A: Given graph belongs to the function f(x)

Q: Question 9 Suppose a binary message word is to encoded using repetition code where every bit is to…

A: Solve this question, as given below.