Find the derivative of the function. f(x) = In x+ 2 f'(x) =

Q: Find the average rate of change of the function from X1 to X2 Function x-Values f(x) = x2 - 4x + 6 X…

A:

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A:

Q: Question A farmer is constructing three equally-sized pens against the side of a barn for his…

A: We need to find max area.

Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given region is bounded by y=21-2x and y=20

Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

A:

Q: CCw dire 10n. Let a represent the number of meters Michaeel nas traveled since ne started running.…

A:

Q: x2 Q1 (x sin x+cos x) -dx

A: For integrating the given integral we will use the below-mentioned integration formulas…

Q: 1. Suppose a body has a force of 3 pounds acting on it from the west, 4 pounds acting on it from the…

A: Using vector addition  we determine the force

Q: dæ is equivalent to Using the substitution u = x + 1 Vx + 1 1 -du 1/2 du du -1/2 du - 1) /u2

A:

Q: 7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

A:

Q: The demand for monorail service in a city in 2005 can be approximated by q = -4,500p + 43,100 rides…

A:

Q: 10) Calculate a lower sum for f(x) = 2x + 5 over the interval [0, 2] using 4 rectangles. %3D

A:

Q: 5 ,2 X |x² + x – 6| dx -5

A:

Q: The graph of a derivativef'(x) is shown in the figure below. Fill in the table of values for /(x)…

A:

Q: Find a parameterization of the portion of the circular cylinder y +z´ = 16 between the planes x = 0…

A: We have to find the parametrization of the cylinder.

Q: A A A A A A A A A A A A A A A A A A A A A 2!, 22 23 16. The sum of the series 1+ 1! 2n 二十… is n!…

A:

Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, x = 0, x = In…

A: Given Region is bounded by   y=ex , y=0 , x=0, x=ln5

Q: Calculate the following derivative if h(w) = Vwe3w. (Use symbolic notation and fractions where…

A:

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find k(t). r(t) = t²i + t5j 390 t14 K(t) = 3…

A:

Q: VV1+x/xdx 5.

A: Integral

Q: Find all the relative and absolute extrema of the given function on the given domain. (Order your…

A:

Q: Question Two poles are connected by a wire that is also conneted to the ground between the poles.…

A:

Q: A farmer wants to construct a fence around an area of 7776 square feet in a rectangular field and…

A:

Q: Solve the following differential equations: 1.) y’ = x2 A. y = x3/ 3  B. y = x2/ 3  C. y = x ln 3 D.…

A: Integrating both sides.

Q: Based on census data, the population of Freedonia is modeled by the function P(t) = 309t + 37559…

A: Given query is to find the year when rate of change of population is 1236 people per year.

Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

A:

Q: Describe the graph of the equation. = (6 – 31) i – 8t j O It is a line in 2-space that goes through…

A:

Q: In a circle of radius 38, find the length of the arc spanned by a central angle 4 radians. Round…

A: Given the query is to find the arc length.

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: Given,  F'''(x)=6x, F''(0)=0, F'(0)=1, F(0)=1

Q: height. What is the largest volume bag of this shape that you can carry on a flight? (Round your…

A:

Q: Question An open-top box is to be made from a 30-inch by 42-inch piece of plastic by removing a…

A:

Q: Let g be a function with derivative given by x2 - 2x - 8 g'(x) = V2x³ +5 - 1<x <5 %3D . At which…

A: Occours

Q: , The equation y2(y? – 4) = x²(x² – 5) is known as the devil's curve. Give an equation for the…

A:

Q: d. q(x) = cot-1 ( ) 1-nx

A: Follow the procedure given below.

Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: Given f(x): find the average rate of change of f(x) on the interval 8, 8+ h. Your answer x + 8 will…

A:

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A:

Q: Which one of the following accurately describes the set {(p, 0, $)|¢ = 5 } in spherical coordinates?…

A:

Q: S. Find f(t), if f'(t) = df 1+ cos(2t) and f =1. %3D %3D dt

A: To find the function f(t) following the given conditions.

Q: Find all zeros of f(x) values, using radicals and/or fractions if necessary, not decimal…

A:

Q: 1- 2. 12 3 10 O 니 %3D 3.

A: In this question , we can find the value of the variable of 'a' and 'c' . Multiply the left hand…

Q: r(0) = tanh-1(cos 0) + cosh(0º)

A:

Q: D Find the area of Ene shaded region 2. = sincze)

A:

Q: j(r) = e sech

A: The given function,      jr=esechr2+2r

Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = Vx. Find the…

A:

Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

A: ----------------------------------------

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: This question can be solved using the concept of area of triangle and area under curve. I have…

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A: Given problem:- Two sides and an angle (SSA) of a triangle are given. Determine whether the given…

Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

A: