finding the 4th derivative of f(x)=ln(3x+1

Q: dw dt Find where w(x, y, z) = xyz + xy, with r(t) = e³, y(t) = e "t and z(t)= e 3t dw dt W

A: Given 1. wx, y, z=xyz+xy 2. xt=e3t, yt=e-9t and zt=e-3t

Q: Find the minimum and the maximum of the function f(x, y) = x² + xy + y on the set: D = {(x, y): 0 ≤…

A:

Q: 5. For a particular function h, we know h' (2)=6 and h(2) = -3. Write an equation for the line…

A:

Q: F(g) = √ 39 29 2-g if g≤0, tang if 970,

A: Given data, The function is continuous at g= 0. Determine if it is differentiable at g = 0.…

Q: Evaluate the following expression without using a calculator. log 75 7

A:

Q: 3. Using the graph of the function below, determine the following. If infinite, specify ∞o or-oo. If…

A: For concept: your given formulas are applicable only when function is continuous and Derivable.…

Q: Consider the function f(x) = 1) Domain in interval notation: 4x16 (x - 1)(x-7) 2) Coordinates of the…

A:

Q: Find the slope of the tangent line to the curve y x²+4x+7 7x+2 at the point (1,3).

A:

Q: Consider the integral 1,33 x² If the integral is divergent, type an upper-case "D". Otherwise,…

A:

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A:

Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: 11. Some biologists model the number of species S in a fixed area A (such as an island) by the…

A: Given, log(S)=log(C)+klog(A)

Q: It is known that f(-5) = 15, f'(-5) = 10, 15, f''(-5): JAN f(³) (-5) = 5, and f(4) (-5) = -2. Find…

A:

Q: Find using properties of logarithms: y = ln (= cos(z)) 36x-1 dy d

A: We can find the derivative using the properties of logarithms in in the below steps.

Q: Guess the value of the following limit (if it exists) by evaluating the function at the given…

A: We have to evaluate the limit.

Q: We are going to calculate the standard deviation for the following set of sample data. 1) First,…

A: NOTE: Refresh your page if you can't see any equations. . the given sample data is  find the mean

Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: We have given  The rate of change of the radius r of a tree trunk is inversely proportional to the…

Q: (3) Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a)…

A:

Q: 3. Given h(x) = 3 ln(1 + x²) + 8 arctan(x), find all x where h"(x) = 0.

A: Topic - inflection point of a function We are given h(x)=3ln(1+x2)+8arctan(x)we know…

Q: Consider the function f(x)=4x2 −48x+3 on the interval [2,10]. Evaluate this function at the…

A: Topic = Functions

Q: - Find the general solution of y"" — 2y" — y' + 2y = 0

A: y'''-2y''-y'+2y=0

Q: valuate the limit 5x² + 3x lim ZX √7r4+2r² +10

A: Given query is to find limit of the expression.

Q: Find the critical points of the function f(x,y) = x² + y² − 4xy + 2.

A: Given, f(x,y)=x4+y4-4xy+2

Q: (a) We have 3 X Y

A:

Q: iw The graph of continuous function f for -3 ≤ x ≤ 16 is shown. 3 2 1 0 -1 -2 -3 -4 5 -_-6 -4 -2 0 2…

A:

Q: Find the first 4 non-zero terms of the Taylor polynomial centered at x = 0 for f(x) = cosx

A:

Q: A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty…

A: A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty…

Q: Find the gradient of the function at the given point. Function Point f(x, y) (7,3) Vf(7, 3) = 15 2 x…

A: Please see the below picture for detailed solution.

Q: tan( e + 4 ln(z))

A:

Q: UP the integral representation for the volume of the solid that results when the region bounded by…

A: Please see the below picture for detailed solution.

Q: Find and simplify dx y = (ln x) ³x²+2

A:

Q: Find the derivative of the function at Po in the direction of u. 9) f(x, y, z) = ln(x2 +9y2-7z2),…

A: To find the derivative of the function at P0 in the direction of u.fx, y, z=lnx2+9y2-7z2, P09, 9, 9,…

Q: Consider the function f(x)=x3−5x on the closed interval [−3,1]. Find the exact value of the slope…

A:

Q: Calculus Demand Function Quantity Demanded p = 500 - 3x x = 24 a) Find the price elasticity of…

A:

Q: In 1940, there were about 10 brown tree snakes per square mile on the island of Guam, and in 1993,…

A: Given data, No. of snakes in 1940 N0 =10 per sq. mile No. of snakes in 1993 N=10000 per sq. mile…

Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) = 6x +9y 2x - 4y

A: The function is given by fx, y = 6x+9y2x-4y To determine: The expressions of the partial derivatives…

Q: Let be a curve in the xy-plane. Find d'y dx² -|(x, y)=(1, 1) = _ 6x³3 + 19y³ = 25 તે પુ da²(x,…

A:

Q: se logarithmic differentiation to find the derivative of y = sin(6x)¹+3x. y =

A: Find the derivative of the y= sin(6x)1+3x

Q: Describe the triangular region whose vertices are at (0, 0), (1, 0), (1, 2) as set in the polar…

A: Answer is in step 2.

Q: Lp² Ate ²+ урт Aert +rater у"p= часчь + чate r 7"p=_ 2t

A:

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t…

A:

Q: The solutions provided are not answer to my problem. This is my problem: x2>-4x Please explain

A: Let's solve.

Q: Find and simplify: -3 sin-¹ ( ¹(3³) y= dx y = sin-1

A:

Q: Evaluate the integral. S dx √25x². =, XX X> 25x - 49 75

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute  take…

Q: a. b. C. lim 3-5 (YOU MAY USE ANY TECHNIQUE COV x-1-√√3x +1 x-5 1-x lim x-6 (x-6)² (A TABLE OF…

A:

Q: problem # 3. Graph the and get its f(t) = - 0 0 piecewise function Laplace transform. t <3 3 < t < 5…

A:

Q: If there are more than one hole, seperate them with commas; if there are none, type DNE. Check…

A:

Q: aph the solution to the following system of inequalities. 3x-y>-2 y<-2x-5 then give the coordinates…

A:

Q: Which is a better investment? 08% compounded quarterly. 08.3% compounded annually.

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

Q: Find the general solution and particular solution of y''=6x, y'(0)=2, y(0)=1

A: We will use method of separation of variables.