Find the Taylor polynomial of order 3 generated by f at a. f(x) = 1 X+8,a=1 OA. P3(x) = -1/- x-1 (x-1)² (x-1)³ + 49 343 2,401 1 x+1 (x+1)² (x+1)³ B. P3(x) = 7 + 49 343 2,401 1 X + 1 OC. P3(x) = - (x + 1)² (x+1)³ 9 81 729 6,561 OD. P3(x) = 9 x-1 (x-1)² (x-1)³ 81 729 6,561 + +

Q: Gasoline is pouring into a vertical cylindrical tank of radius 5 feet. When the depth of the…

A: Volume of cylinder(V)=πr2hSubstitute r=5V=π52hV=25πhDifferentiate w.r.t 't'

Q: What is wrong with the equation? -5 15 dx = -4 64 -2 f(x) = x-5 is not continuous at x = -2, so FTC2…

A:

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 3 1 = lim t+oo 8t² +9' 5t, (?, ?)

A:

Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A:

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A:

Q: gence for n! n=0

A:

Q: 2 Evaluate thefallowing cartesian integrats by - changing theminteequivalent Palar integralse 4- to…

A: Solving

Q: n 9 = k=1 Note: Your answer should be in terms of n.

A: Solve the given

Q: -(;) > Let 7 (t) = < - 5ť² + 3, t² – 3t, In| a. Determine the coordinates of the point on the curve…

A: given: r(t)=-5t2+3,t2-3t,ln15

Q: Given the relation x³z² + sin(3z - 2y) - 8√9+7x³ + 5y + 13 = 0 implicitly defines y as a…

A: Differentiate

Q: 4 Water drips into a conical container, which is orientated point downwards, at a rate of 100…

A: This is a problem related to mensuration. Based on the formula for volume of cone and derivative…

Q: Find the area of the region under the graph of the function f on the interval [1, 5]. f(x) = 3x³…

A:

Q: Evaluate y' of the given functions y = /3x + 4)(x + 3)

A: We can find the derivative as below.

Q: c) Period d) f(990°)

A: Follow the procedure given below.

Q: Use power series operations to find the Taylor series at x = 0 for the given function. f(x) = x = x…

A: Use power series of exponential function to find the right answer.

Q: Find all partial derivatives of w = x sin(yz) – z In(xy)

A: To find all the partial derivative.

Q: Find the area under the graph of the function y=2-x-x² over the interval [-2,1].

A: Given query is to find the area under the curve.

Q: determine which statement is true

A: Follow the procedure given below.

Q: per ale hey sepalating 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate…

A:

Q: A 17 cm x 11 cm open rectangular box is to be constructed by cutting square corners out of a piece…

A: Let the sides of square be x cm then the dimensions of the box will be as follows Dimensions of box…

Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 ellipse parabola point…

A:

Q: Solve the differential equation 2xy + y²) dx + (x² + 2xy-y²) dy = 0

A: A homogeneous differential equation is one in which the degree of the function f(x,y) is the same as…

Q: Find the number of distinguishable permutations of the letters in each word below. (a) tilted (b)…

A: This is a problem related to permutation and combination. Based on the general formula we will…

Q: 22// use the tests indicated in front of each of the series ollowing to determine if the series…

A: 1. Summation of (k+1)/(k2-1) from k=2 to infinity.  2. Summation of 1/(5k+1) from k=1 to infinity.

Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

A:

Q: 8. Determine if 2n-1 [5 -1 is cont 7n n=1

A: Given

Q: Find two positive numbers satisfying the given requirements. The product is 172 and the sum is a…

A: We find two positive number that product is 172 and sum is minimum.     Here i attached the solution…

Q: Given the relation x³z² + sin(3xz - 2y) - 3√9+7x3 = 5y -23 implicitly defines z as a differentiable…

A:

Q: Figure (a) shows a vacant lot with an 80 ft frontage in a development. To estimate its area, we…

A: It is midpoint Riemann sum      here length of interval  △x=20

Q: f(Tn) f'(In). For the function f(x) = r- 2x 3. write Newton's formula as n 1 F(In) for solving f() =…

A: See the answer below

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 11)i + tj; t = 11 T(11) : N(11)

A:

Q: Solution

A:

Q: solve the following equation 2sin3x+sin2x+1=0, on the interval 0<x<2pi

A: 2sin(3x)+sin(2x)+1=0Let f(x)=2sin(3x)+sin(2x)+1 , 0&lt;x&lt;2πThe graph of f(x) is shown below:

Q: A 42 cm piece of string whose length is given below is cut into two pieces. One piece is used to…

A: Here we have, A 42 cm piece of string whose length is given below is cut into two pieces. One piece…

Q: 2. Find the area of the region bounded by the curve r = 2 cos 30 .

A: Given problem:- Find the area of the region bounded by the curve r = 2cos(3θ)

Q: 1. Find the area bounded by a curve v? = 9 – x and the y – axis.

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find and classify the critical points of f(z) = 82°(8 - z)7 as local maxima and minima. %3D Critical…

A: Critical points are the points of a function where the derivative does not exist. local maxima: the…

Q: Investigate the given two parameter family of functions. Assume that a and b are positive. f) =…

A: We will plug the values of a and b to do the analysis.

Q: gra Ốf j at point (b) Find the directional derivative of f at the point (0,–2) in the direction of…

A:

Q: The temperature in degrees Celsius (C) in Toronto starting on March 1** can be represented by the…

A:

Q: Question 15 [xy2. +xzu+yv2-3 = 0 The system of equations :. 6x³yz + 2xv-u2v2-7=0 can be solved for u…

A:

Q: St-1.0t vemos anoitasu) InemzeozeA B C E M N K JH G Identify each of the following in the figure…

A:

Q: F(rn) f(In) for f'(En)] For the function f(r)- tan(z), write Newton's formula as , 1 = In solving…

A:

Q: The average cost for a company to produce x units of a product is given by the function A(x) = The…

A: A(x) represent the average cost.A'(x) will represent change in the average…

Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: As per bartleby guidelines we only give first three question answers.

Q: Determine the direction vector of the following lines where lz is in 3D a) l1:2x – 3y + 6 = 0 %3D -…

A: