Find positive numbers x and y satisfying the equation xy=24 such that the sum 4x+y is as small as possible. x= y=

Q: Does g(t)=3t^5+10t^4−30t^3+70 have any inflection​ points? If​ so, identify them. An inflection…

A: The given function is: g(t)=3t5+10t4-30t3+70 And, the derivatives are:…

Q: Price Total cost Quantity (tickets per show) Big Top is the only circus in the nation. The table…

A:

Q: How would you explain to someone that sqrt(16) = 16^(1/2) ? Like why is it the same if you were to…

A:

Q: a) obtained by rotating the curve Sketch and find the area of the surface y =/2x + 3 for x E [2,4].…

A:

Q: Find the absolute maximum of f(x,y) = 3x2y2 + 2y2 + 2x2 bounded by y = x, y = 0 and x = 5.

A:

Q: b)Find the average value of f(x) = x3 – 1, 0<x<4

A: We can find the average value of the function as below.

Q: . Value of t such that vectors a=, b=, c= are coplanar.

A: Value of t such that vectors a=&lt;1, 1, 1&gt;, b=&lt;2, -4, 0&gt;, c=&lt;1, t, 3&gt; are coplanar.

Q: Find all the antiderivatives for the following function. Check your work by taking the derivative.…

A: We need to find antiderivative.

Q: Find the limit. 300 lim er

A: limx→∞ x300ex

Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A:

Q: c)Find the limit of the sequence a, = nsin (-) Answer:

A: Given problem:-. Find the limit of sequence an = nsin(1/n)

Q: Sketch the solid described by the given inequalities: 0 <rs 2,s00szs

A:

Q: Consider the given: х3 — 4х2 x(х + 8)(х — 2) (x + 2)3 8(7x – 4) f(x) = ;f"(x) (x + 2)2 i f (x) : (x…

A: The given functions and their derivatives are: f(x)=x3-4x2(x+2)2=x2(x-4)(x+2)2,…

Q: () 4. For the curve y=c cosh show that p= 5. Find the curvature at (1,-1) on the curve y= x - 3x+1.…

A:

Q: : Consider the differential equation y" – 2y – 3y = 5 cos(2x). a) Verify that the family of…

A: This question can be solved by using the concept of solution of second order non homogeneous…

Q: Directions: Write the correct answer on your notebook. Show the graph and determine if the given…

A:

Q: 8. Find the curvature of the plain curve y = e.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: Either evaluate the following improper integrals or show that it diverges. +oo 1 (i) - dx +oo (ii) 2…

A: We have to evaluate the given integrals.

Q: 1. (a) Find a power series representation for f(x) %3D 1+ x3 (b) By differentiating the power series…

A: Let's find.

Q: Evaluate the following limit. Kz^ + Zx^ - Ax^ -x (X,y,z)→(1,1,4) X – /xy + /xz - /zy Select the…

A:

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2* - x has a critical number…

A: Let's find.

Q: 4 Ay 10- Given the graph to the right, find f(x)dx. 8- 0. 6- 4- 2- 4 6 8 10 4 f(x)dx:

A:

Q: If the real part of an analytic function f(z) is x^2-y^2-y, then the imaginary part is О 2ху+x O 2xy…

A: We have to find the imaginary part.   According to our guidelines we can solve only one question so…

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small…

A:

Q: On a separate piece of paper, sketch the region for the following integral. Be sure to label axes…

A:

Q: ey sin? e dy Solve the differential equation de You may leave your answer in implicit form. y sec e

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Determine the following indefinite integral. Check your work by differentiation. dt 49t + 49 6. dt =

A: Here we have to determine the indefinite integral.

Q: Here is a graph of the function g. Use the graph to find the following. If there is more than one…

A: We can answer both the question as below.

Q: Consider the following integral. Sketch its region of integration in the ry-plane. 110zy da dy (a)…

A:

Q: S |8:xydxdy y=-2 x=1

A: For the following problem,

Q: 5. A farmer wishes to fence off a rectangular region next to a straight wall. The side of the…

A:

Q: Suppose f( – 1) = 2 , f'( – 1) = 3 , and g(x) = r'f(x). The tangent line to g(x) at z 1 is given by…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Which one of these sequences is convergent Select one: O a. none of these. Ob. 2n+9 n' nt О с. 2n+6…

A:

Q: 1 1-xl-x²-y? Evaluate the integral S S [dz dx dy 0 0 0

A: We will evaluate the given integral in this question.

Q: 3- 3,9 dx

A:

Q: 5 3 + s2 –8 s2. 3.

A:

Q: DATE: Consider flu) = gw)ha). Use implicit diona Find f" L). %3D

A:

Q: ind the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Haw / Find dhe solution for the equaton

A: Find the solution

Q: What constant acceleration (in ft/s?) is required to increase the speed of a car from 30 mi/h to 58…

A:

Q: Demand Function      Quantity Demanded p =  400 x + 3      x = 23 Find the price elasticity of…

A:

Q: Find the indefinite integral C sec x tan x +3 sec x) dx.

A:

Q: Graph the region bounded by r=3-6sinθ

A: Given r=3-6sinθWe will now graph the given function

Q: Find the Laplace transforms of the functions: f(t) = t²

A:

Q: Let g(x) 8 In(t) dt. Use the Fundamental Theorem of Calculus tc g'(x) =

A:

Q: Q1. Find the equation of sphere whose center is at (4,-1, 7) and radius is 5.

A:

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (6, 0,…

A:

Q: By volume, one alloy is %60 copper, %30 zinc, and %10 nickel. A second alloy has percents of %50,…

A: Let's find.

Q: Given the piecewise function |x² + 1, if x > c f(x) = | 2æ, 2x, if x <c lim f(x) exists find the…

A: