1. Differentiate a) b) x³+4x²+2x-3 2x³−4 x²+3 x³−2 x²+1

Q: 10. Find the Taylor polynomial P4 for f(x) = In x at xo = 1. (a)_1+ ²(x-1)=(x-1)² + ²/(x-1) - 1 4 5…

A: Given f(x)=ln x    x0= 1we want to find taylor polynomial P4(x)

Q: The integral in this exercise converges. Evaluate the integral without using a 00 Ĵ -∞ S -8 2x dx 6…

A: Given query is to find the value of the integral.

Q: y" - 4y"+y' + 6y=0

A: need to find out the solution of the differential equation.

Q: implicit differentiation to find 1+ siny=2y-x³ dy dx and then d'y 2 dx Write the solutions in terms…

A: Find dydx  and d2ydx2  1+siny=2y-x3

Q: Given the function f(x) = = 9x³101x² + 274x - 56, and knowing one factor is (9x - 2), write f(x) as…

A:

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: Blood Alcohol Level  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid…

A: Given:-  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of…

Q: 2 If √10-3x² ≤ f(x) ≤ √√10-x² for -1 ≤x≤ 1, find lim f(x). X-0 lim_ f(x) = X-0 (Type an exact…

A: To find the limit of the function.

Q: Suppose that f(x) = ⁹ - 18x². (If an answer does not exist, enter DNE.) (a) Find all partition…

A:

Q: Determine which graph is the graph of f(x) if the following are true. = 0. f(x) has a horizontal…

A:

Q: Find the thos of P(x) = x4 -81

A: To find the zeroes of given polynomial

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

A: 5.  We have given graph of the function  Function is differentiable at point if function is…

Q: If you copy a document on a machine, you should get a similar copy. Suppose you want to reduce a…

A: If you copy a document on a machine, you should get a similar copy. Suppose you want to reduce a…

Q: Write a polynomial with degree 3 that has zeros at x = only integers. P(x) = 5 and x = 2 + √5. Write…

A: We have to find the polynomial

Q: Suppose f is a one-to-one function with domain A and range B. What is the range of f¹? 1. Cannot be…

A:

Q: 4. The volume of a certain gas is given by V = 207 where T is temperature in degrees Celsius and V…

A:

Q: Problem 4 Find a,b,c, and d in the cubic equation y-ax³+bx²+cx+d whose graph has a horizontal…

A: we need to find out the value of a, b, c and d

Q: Finding the intercepts, asymptotes, domain, and range from the... OF BOASADRO Shom all asymptotes…

A: Given query is to find characteristics of the function.

Q: Graph and make a table a) r = 2cos 50 b) r=2 sine c) r=1-cost

A: We need to find a graph and give the table. For (I), Graph:

Q: Problem 2. Find the following limits. (c) lim x 0 x (d) lim x48 x³ arctanr el/a - 1 1/x

A: Here is the solution:

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

A:

Q: 6. Give an example to show that not every function is one-to-one. Explain your reasoning.

A: The objective of the question is give an example which state that every function is not one-to-one.

Q: A value of sinh x or cosh x is given. Use the definitions and the identity cosh²x - sinh²x = 1 to…

A: Given that sinhx=-125Our aim is to find the value of cschx=?

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:

Q: A continuous function y = f(x) is known to be negative at x = 1 and positive at x = 4. Why does the…

A: A function with no breaks is a continuous function.

Q: 1. a.Determine the equation of the function that has zeros (roots) at 2, 2, 5 and the yint = -10. b.…

A:

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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: An equation relating the variables x and y, the values of x and y, and the value of dy value of…

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: (a) Where does the normal line to the ellipse x2 -xy + y2  = 3at the point  (-1, 1)intersect…

A:

Q: ect one anter 110 O √6 36 O√14

A: Topic:- geometry and area

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 4 3…

A:

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

A:

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

A:

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots at x = 0 and x =…

A:

Q: Convert parametric equations to a Cartesian X = tvo cose y = tvosine - gt² 2 X = y = - cost 2 sint +…

A:

Q: Find the exact length of the curve. =x²-In(x), 1≤x≤4 2

A:

Q: matrix B was obtained from matrix A by interchanging two rows. If det(B)=x+y , what is det(A) ?…

A: Given:    detB=x+y Property of Determinant Function:   If B is obtained by interchanging some two…

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

A:

Q: Consider the function f(x)=2x^3+12x^2−30x+7, −5≤x≤2 Find the absolute minimum value of this…

A: Given function f(x)=2x3+12x2−30x+7,We know that, at  critical point x=a ,If f 'x>0 to the left of…

Q: Suppose that F(x)=f(g(x)) and g(14)-2, g(14)-5, f(14)-15, and f'(2) - 11. Find F(14). O 17 O 55 O…

A:

Q: Write a polynomial with degree 4 that has a zero at x = 3i, and a zero at x = 5 with a multiplicity…

A:

Q: Which of the following functions is not differentiable on all of its domain? Select one…

A: Let fx=x2-1

Q: If 3x O -2. O 0. O 4. O 2. O -4. 3 [2x y/t then y =

A:

Q: Find the following limit. lim X→∞ lim X-8 x²-3 2 √√4x4 4x + 2 x²-3 4 4x + 2 (Simplify your

A: Solve for the limit

Q: Write an equation for the polynomial graphed below. +'? -4 f(x) = 8 7 6- 5 4 3 2 ņ m A -5- OA -6-…

A: Write the equation of the polynomial

Q: find zeroes of x^3-3x^2-13x+15

A: