Use Newton's Method to approximate the coordinates (x, y) of the point on the parabola y = x2 that is closest to the point (4, 0). Round your answers to four decimal places.

Q: Let f(x) = ln(x² + 18x+87) f'(x) =

A: x2+18x+872x+18​Explanation:

Q: Given vectors = (-6,-3) and = (-3,5); find -3u+40. O=(29,6) O=(-27,-15) O=(27,8) O=(-15,-27) 0 =…

A: The objective of this question is to find the resultant vector of -3u + 4v, where u and v are given…

Q: 8

A: using washer method Volume=43π​  cubic unit Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Find the gradient of the tangent to S(t): = 5t+7 /+2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: 16

A: Volume= 128/3Explanation:

Q: III) For the following exercises, graph the polynomial functions. Note x- and y-intercepts,…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 14. cot4 2x dx

A:

Q: Let A be a set with 5 elements. If replacement is not allowed, find the number of a. 3-permutations…

A: Let A be a set with 5 elements. If replacement is not allowed, to find the number of (a)…

Q: Find the interval of convergence of the power series, where k is a positive integer. kkl x/x Σ) n =…

A: Hence the final answer is : The interval of convergence is (−k,k)Explanation:To find the interval of…

Q: Find the open intervals where f (k) is concave up and where it is concave down. Enter the intervals…

A: need to find out the intervals where the function is concave up and concave down.

Q: Explain fully for better understanding. See image attached. Thank you

A: The objective of this question is to find the time at which the maximum velocity of the target…

Q: Question 11 1b. Given the following graph of f(x), f(x), and f'(x), which colour is f(x)? -20 -10…

A: Following is the graphs of .To identify the graph of .

Q: 3 2 e. 12 = y³ + x² •

A: Consider the function

Q: Find the derivative of the function. g(t) = 1² - 3 g'(t) =

A:

Q: (OS 8 = U.V Hull |lv|l == cos(V Mull lvl 15. Let u=-i+√3j and v=i+√3 Find the angle between these…

A: The objective of this question is to find the angle between two vectors u and v. The vectors are…

Q: The area enclosed inside the polar curve r² = 14cos(20) is Select one: a. 28 O b. 14 O c. 14元 O d.…

A: The correct option is b. The area is 14 unit squared.Explanation:Kindly see attached photo for your…

Q: QUESTION 3 Find the value of for which the average value of f(x)=3x²-8x+3 on the interval [0,b]…

A:

Q: Homework

A: written solution provided.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: The graph of the functions f (x) and g(x) y. ↑ a c are provided fox) x+ b gox)

A: The given graph

Q: I am needing assitance with the problem in the attached image, 3.6.

A: The derivative of the function y = 7x4 + 2sin(x) is: y′ = 28x3 + 2cos(x)Explanation:Step 1: Identify…

Q: Use Lagrange multipliers to find the dimensions of the box with volume 125 cm3 that has minimal…

A: Volume of the box=125 cm3

Q: A medical researcher believes that the human immune system produces antibodies to a particular…

A: The rate of antibodies production is given as Integrate N'(t) with respect to t.

Q: What is the equation of the tangent to the curve of the function: f(x) = 6x³ + 4x² +3x+2 when x = 1?

A: The given function is: f(x)= 6x3+4x2+3x+2At x=1, y=f(1)= 6+4+3+2= 15

Q: Calculate the double integral. x sec²(y) dA, R 2 = {(x, y) | 0 ≤ x ≤ 6, 0 ≤ y ≤ 1}

A:

Q: Find the area of the finite part of the paraboloid  y = x2 + z2  cut off by the plane  y = 9.…

A: 6π​(3737​−1)Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: Let c be a real number. By taking the necessary derivatives, show that the function f(x,t)= ln(x+ct)…

A: The given function is

Q: Find the critical numbers of the function f(x)=-12x^5+15x^4+80x^3-3 and classify them. Round your…

A: The critical numbers of the function are,x=2.562,−1.562,0,0Hence x=0 is the point of inflection; it…

Q: Set up the iterated integral that would determine the volume of the solid bounded by the graphs z =…

A:

Q: Find the equation of the conic in Cartesian coordinates that satisfies the given conditions.…

A: the answer is y2=−16(x+2)steps to solve1. draw a diagram on graph paper based on information from…

Q: Use the chain rule to find the derivative of f(x)=5(2x9 - 4x4) 13 You do not need to expand out your…

A: (Note: Please see the explanation portion below to see the answer and detailed solution.…

Q: 16. Let u=2i+2j and v=-i+√√3j. Find the angle between these vectors. (Hint: Graph each.) V= A. 120…

A: The angle between the two vectors is:θ=75∘Explanation:The given vectors are:u=2i+2jv=−i+3​j First,…

Q: Given vector = 5i + 10j, which of the following is a vector that is orthogonal to ?

A:

Q: Find the first four nonzero terms of the Taylor series for the given function about x = : 0. f(x) =…

A: The answers have been provided.Explanation:

Q: Hello, I am stuck on this center of mass problem. I thought I setup the inetgral appropriately but I…

A: Solution with answers is provided below in full detail. Please refer below.Explanation:Approach to…

Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world…

A: The objective of the question is to find the projected annual average population growth rate in 2020…

Q: onsider the function f(x) = (3x-6) / (x+5) Find: (a) f increasing and decreasing (b) concave up…

A: The given function

Q: (a) Use Gauss' Theorem to calculate F ds where: F (3x², xy, z) and S = {(x, y, z)x+y+z≤1 and 0 < x,…

A: The detailed solution is provided below.Explanation:

Q: a parabolic arch of maximum height 40 m is 30 m wide at ground level. A horizontal beam of length 12…

A: The objective of the question is to find the height of the beam above the ground when it is placed…

Q: 1. Use the Limit Comparison Test to determine if diverges. Show all appropriate work. 1M8 converges…

A:

Q: Given the vector v = (2, −2); find a unit vector in the same direction as v. o (√ √ž) 2 2 4'4 o…

A: The objective of this question is to find a unit vector in the same direction as the given vector v…

Q: Find the Taylor polynomial of degree n = 4 approximating the function f(x) = 5ln(x²) for x near 1.…

A:

Q: Convert the Cartesian coordinate (-6,-1) to polar coordinates, 0 0 r = 0 = 0

A: r=37​Θ=3.31Explanation:If you have any questions let me know in comment box thankyou for yours…

Q: 2. Find absolute extrema of the function f(x,y) =x³ – 3xy +y³ on the region bounded by the following…

A: The final answer is given in steps.Explanation:Step 1:Step 2:Step 3:

Q: Let R be the region in the first quadrant bounded by the graphs of y= 4 cos ()andy = (x-2)², as…

A:

Q: The velocity vector of a particle in the xy-plane is (√7, 9e³-3) for all real t. If the position of…

A: The velocity vector in the xy-plane is for all real t. If the position of theparticle at , then to…

Q: A calculator may be used on the following questi The position vector of particle moving in the…

A:

Q: A baseball diamond is a square of side 90 ft. A baseball player runs from a home plate toward the…

A:

Q: Suppose X and Y are random variables with the given joint density function. f(x, y) = (0.1-(0.5x +…

A: (a)yes (b)P(Y≥3)=0.5488P(X≤3,Y≤2)=0.2561 (c)Expected value of x = 2Expected value of y =…

Q: Find the derivative of f(x) = x²e 5.5x хе f'(x)

A: Answers: 1) f'(x) = 5.5x2e5.5x + 2xe5.5x 2) r'(t)=0.279 ft/min  Explanation:1st Problem Derivative-…

Q: For this series, decide whether it converges absolutely, converges conditionally or diverge. Justify…

A: given series converges (conditionally)  by alternating series test Explanation:Step 1:Step 2: Step…