Exercise 3 Let f(x)=x³-9x² + 15x + 7. Find: 1- Areas of increasing and decreasing. 2- Local Maximum and Minimum Values. 3- Concave areas up and down. 4- All inflection points.

Q: 2 2 If √√5-4x² ≤ f(x) ≤ √√5-x² for 1≤x≤1, find lim f(x). X-0 -

A:

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

A:

Q: dy dx (a) y = secr 2. Find (d) y = lnx (g) y = csc x

A: All the given derivatives are standard derivative result. Here we solve the derivatives using basic…

Q: Find the relative maxima and relative minima, if a f(x)=x² - 6x

A:

Q: The number x of MP3 music players that a store will sell and their price p (in dollars) are related…

A: The number x of MP3 music players that a store will sell and their price p in dollars are related by…

Q: Approximate the change in the volume of a right circular cylinder of fixed radius r = 20 cm when its…

A:

Q: Find lim f(x) and lim f(x) for the given function and value of c. x-c* X→C f(x) = (x+8) |x + 61 X+6…

A:

Q: 26 Given the function y = Select one alternative: dy dx dy dx dy dx dy dx = h(x) f(g(x)) h'(x)…

A:

Q: 25-44 Differentiate. √x 2 + x 36. y =

A: Given query is to find the derivative.

Q: 7.5. Find a, b, c so that the function w = (ay³ + ix³) + xy(bx + icy) is analytic. If z = x+iy,…

A:

Q: The base of a railing for a set of steps leading up to the front door of a house makes an angle of a…

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

Q: 46. y = [x + (x + sin²x)³]4

A: Given y=x+x+sin2x34

Q: Find the difference quotient for each real number h where the difference quotient is defined for the…

A:

Q: 2. a) Find the average value of f(x) = x", where n is a positive integer, on the interval [a, b]. b)…

A: We have to find the average value and use mean value theorem.

Q: State the exact value of all six trigonometric function values of 3, given that a = 33 m and b = 56…

A: a= 33 m  b= 56 m  this is right angle triangle is given  so we can find other side  c2 =a2+b2 c2 =…

Q: Determine whether the series Σ (3) n=0 n is convergent or divergent, and if convergent, find its…

A: need to find out that the series is convergent, or Divergent and also need to find its sum

Q: Convert the equation from polar to Cartesian r²sec² +4rcos-r² tan² = 0 a) b) r = 3 sint cost

A:

Q: Which of the following integrals is the area between the graph of f(x) and the y-axis from 0 to 6…

A: Note: Since, there is a typing error in "the area between the graph of f(x) and the y-axis" because…

Q: 7.13. Use L'Hôpital's Rule to find the following limits: 24 - 81 26 - 64 z²+i (a). lim z→i z¹4 +1…

A:

Q: A plane lamina with mass density o(x, y) = 2 + x2y2 occupies the region in the xy-plane bounded by x…

A:

Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x³ - 12x + 9

A:

Q: Which of the following may be solved by an immediate application of L'Hôpital's Rule?

A:

Q: 2. Casey cut an 8-foot board into three sections. Two of the pieces each have length n feet. Write…

A: We can find the length of the third piece.

Q: 3. The original price of an item is twice as much as the sale price x. Write an expression for the…

A: Given query is to write the expression for orignal price.

Q: Use the graph to complete the following. AAARIPASSANT UNO ARAS (a) Write the equations for all…

A: Need to find out asymptotes.

Q: Find a formula for the nth term of the sequence in terms of n. 5 5² 5³ 9 12 15 18 an 1 6 for n 2 1

A:

Q: so is the simplified answer for both 9

A: Whenever the degree of polynomial equal in both numerator and denominator than the answer will be…

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find the…

A:

Q: 7. The total cost in dollars of a company to produce an amount x of a certain item is given by C(x)=…

A:

Q: use the definition of the derivative derivative of the f(x) = 5-4x + 3x² to find

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: Express the equation in logarithmic form. 1 wlr -4 = 81

A: Given query is to convert into logarithmic expression.

Q: ) Recall the allee effect model for population growth where the growth rate of a population of size…

A: To find the critical point of a function y=f(x) set f '(x) =0 and solve for x. Define the inflection…

Q: Find lim f(x) and lim f(x) for the given function and value of c. X-C* X-C™ f(x) = (x+8) lim (x+8)…

A: The given function is:f(x)=x+8x+3x+3 ;         c=-3

Q: An accelerometer has a damping ratio of 0.4 and a natural frequency of 18, 000 Hz. It is used to…

A:

Q: Let F(x) = COS(x) 1 <0 2³ +3 0≤x Find lim F(x). →+ lim F(x)= →0+ 囡囡囡

A:

Q: Find the derivative of the function. f(x) = Upload X-2 Choose a File

A:

Q: 7–46 Find the derivative of the function. 38. y = sin(t + cos √t)

A:

Q: 5x² R is the region bounded above by the graph of f(x) = 3x - and below by the x-axis over the…

A: Given:       fx=3x-5x22 interval 0,1  Volume of solid formed by revolving around y-axis:…

Q: The point x = 0 is a regular singular point of the differential equation. xy"+y' + 17y = 0 Use the…

A:

Q: The drag coefficient, CF, is defined as: 1 1/2 3k (* (†) ¹/² d (†) x CF = 3k Where k is a constant,…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: II+x8¬¿X₺++*L— 5*7 = (x)ƒ

A:

Q: a: Question 6 x² Let f(x)= for x # 1. x-1 Find local maximum value(s) and local minimum value(s) of…

A:

Q: Find the following limit. 2x - 4 lim X→∞ 2 9x + 3 19x²

A:

Q: use the chain rule to differentiate (A) Y=ex^3 (b)ln(x4+3x2

A:

Q: Find the average rate of change of the function f(x)=1/x−1 on the interval [3,6]

A:

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

A:

Q: f(x, y) = xy², R = [0, 6] × [−1, 1]

A: The given region is R=[0,6]×[-1,1] The given function is f(x,y)=xy2 Let A= The area bounded by…

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

A: Integration