Estimating In(1.4) using a Taylor polynomial about a = 1, what is the least degree of the polynomial %3D that assures an error smaller than 0.001? (n – 1)! (The nth derivative of ln(x) is (–1)"-1 for n > 1)

Q: I don't know how to set this problem up and can you explain step by step please no rush I just want ...

A: The given curve is: y=4-x2, 0≤x≤3

Q: Find the derivatives of the functions in Exercises 17–40. 2 – 1 2 + t – 2 20. f(t)

A: Given:- f(t) =(t2 -1)/(t2+t-2) To find:- Derivative of given function f(t) 

Q: The region bounded by f(x) = – 4 sin a, x = T, x = 27, and y = 0 is rotated about the y-axis. Find t...

A:

Q: Find the coordinates of the point on the graph of y = x^2− x + 3 at which the tangent is parallel to...

A:

Q: S sin 3udu

A: Note: According to our answering Gudelines we have to answer only one question(if multiple  question...

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 00 f(x) = Σ...

A: The given function,        fx=11+x5

Q: If the price of the product is increased from 3.50 to 4.20 (a 20% increase): (i) Will the revenue fr...

A: Find your answer below 

Q: e 6 7. 9- 4. $4 23 ap (()4 - (E )b )EL7 Jo 2ra(8- h(x)) dx ap ((2)6) – 8) T0 p (,(-)e) – 8) = 0 revo...

A: Let's find. 

Q: 2. Given the graph of y =f (x)below, on the same set of axes draw a graph of y - 2 (x -1)-3 transfor...

A:

Q: For a particular commodity, the demand function is q a. Find e when p = 8. Preview b. Is demand elas...

A:

Q: Given the graph of y=f(x), determine a general equation for a family of polynomials with the same en...

A: Graph of the function is given, we have to find its family of function

Q: A soccer ball is kicked from the ground with an initial speed of 19.4 m/s at an upward angle of 46.7...

A:

Q: If f(x) = (3, -1) what are the coordinates of f(x) = -r(-3x) +1? (4)

A: Find your answer below 

Q: For each of the following, sketch the volume being formed, then calculate the total volume and the t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: Find the divergence of the vector field V(x, y, z) = –5xi + (y + 2 cos(x))j+ (12z + e*x») k. (Give a...

A:

Q: 3 5 Given: cosa = ? and A is located in the fourth quadrant; find tan . %3D tan DIN

A:

Q: 8 12. If y = then what is %? dx Vx+4' dy а. 4x(x + 4) dy С. dx = -4Vx + 8 %3D dx 3 dy b. dx -4(x + 4...

A:

Q: Select the best answer. cot A sin 2A =

A:

Q: Find the point on the graph of y = (2x - 1)^3 + 6 where the normal line is vertical. Thanks

A: We have to find the point on the graph where normal line vertical

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

A: To calculate v'(r), the derivative of the wave speed with respect to the reproductive rate r. Given ...

Q: Determine the base function that has been transformed, describe the transformation, then sketch a gr...

A:

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

A: The given sequence converges.

Q: Identify the most appropriate differentiation rules to be used in findıng the derivative of the föll...

A: topic - derivative rules

Q: What is lim,-3 f(x) а. b. lim,-2 f(x) c. lim0 f(x)

A:

Q: If s(t) = 4t3 – 6t – 24t + 6, represent the position of a particle %3D traveling along a horizontal ...

A: Solution is here

Q: 1te X- dx 1+xe-*

A:

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 00...

A: Series

Q: A cup of coffee, cooling off in a room at temperature 24°C, has cooling constant k = 0.108 min -1 (a...

A:

Q: 4. At time t> 0, the position of a body moving along the horizontal s-axis is s(t) = t3 - 6t2 + 9t m...

A: We have to acceleration at the each time where velocity  is 0 And total distance from t=0 to t=2

Q: Find f'(x) and find the values(s) of x where f'(x) = 0. f(x) = (2x – 21) (x² + 18) f'(x) =O

A: We will find the derivation of functions as follows 

Q: A ball is thrown downward with a speed of 15 ft/s from the top of a 225-foot-tal building. After t s...

A: This is application of derivative problem

Q: Consider the equation ze^(xy) + x^(2)yz + 2xy − z^2 − 5 = 0. Assuming that z = f(x, y),find ∂z∂x . S...

A:

Q: Find the point on the line 5?+2?−2=0 which is closest to the point (0,0).

A: Find the point on the line 5x+2y−2=0 which is closest to the point (0,0). here we can first find the...

Q: #11

A:

Q: Find the equation of the tangent line to the curve of f(x) = x3 - 4x + 5 at the point (2, 5). O a. y...

A:

Q: Let f(x) (3 sin a + 2 cos x)tanx f' (x) =

A:

Q: 3) Find an equation of the plane which contains the points P(-1,2,1), Q(1, –2, 1) and R(1,1, –1).

A: Equation of a plane passing through 3 points P(x1,y1), Q(x2,y2) and R(x3,y3) is given by, x-x1y-y1z-...

Q: 9. The difference of two numbers is 30. What two numbers will minimize the prod- uct?

A:

Q: 2. xcos²y dx + tanydy = 0

A: The given differential equation is; xcos2y dx+tany dy=0 Repost the next questions.

Q: Estimating e 0.8 using a Maclaurin polynomial, what is the least degree of the polynomial that assur...

A:

Q: An object moves with velocity given by v(t) = 9t² such that s = 4 whent = 0. Find the equation of mo...

A: Find the equation of motion of the object

Q: 5) Find the scalar and vector projections of b onto a. a = 5i – k, b= i + 2j + 3k %3D -

A:

Q: If r = c is a critical number of f, then f has a local extrema at I = c. True False

A: This question can be solved by applying the concepts of relation between critical points and local e...

Q: 2. Jenna is borowing $800 from her parents to buy a mountain bike. plans to pay them back at the rat...

A: Given: - Jenna is borrowing $800 from her parents to buy a mountain bike. She plans to pay them back...

Q: 2. -2 2. -2 ere does f have absoluteminuMums absolute minimum is ph h o ccurs at x= edees f have abs...

A: To find the absolute maxima and minima of the function from the graph.

Q: 4 6 8 16 f(x)/x represents the average cost of producing 1 kilogram of the chemical when æ kilograms...

A:  The slope of a line connecting two points  is given by If  , this slope is  . Then we can conclude...

Q: 3.(Straightforward) Verify that the piecewise defined function { x*, x 0 y = is a solution of the d...

A:

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1) y=π 2)f(x)=(x2+3)+(2x-5) 3)y=(x2-3x)10

Q: A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s ...

A:

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 ft/min. W...

A: