Which of the following functions is a solution of (x² + 1)y' + y² + 1 = 0 ? y = y = 1+x 1-x 1-x 1+x .y = x(x - 1)

Q: demand functions for a pineapple is given by p=-10x+15.  a.) find the revenue function b.) how…

A: Given query is to find the revenue function and price that maximize the revenue and the number of…

Q: Given the points A(4, 2) and B(3, −1).  1. Find the components of vector AB and draw its position…

A: To find out the components of vector AB and find out the unit vector and its direction angle.

Q: 7. Find g(f(g(5)) given that f(x)=4x+3 and g(x)=x-2.

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Q: Find the derivatives using the of limits (4-step Rule). Show each step from step 1 to 4. C…

A: -41-3x2' =-411-3x2' =-41-3x-2' =-21-3x31-3x' =-4-21-3x3-3=-241-3x3

Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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Q: f(x)=3x-2,g(x)=x2+6x, (f/g)(x)  The answer I got was 3x-2/x2+6x or 3x-2/x(x+6)  my question is…

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Q: K(x) ++ext H(x) d Identify the graphs above as the origninal, first derivative, second derivative,…

A: We have to identify the graph of the function and it's derivatives

Q: If f'(x)= tan-¹(x3 - x), at how many points is the tangent line to the graph of y = f(x) parallel to…

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Q: 2. Each of the following limits represents the derivative of some function f at some num- ber a. In…

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Q: y': 2 -y?) *

A: We can solve the given differential equation by using the variable separable method.

Q: When applying Lack’s principle to a whole bird population we can obtain an expression for…

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Q: Sin x/x

A: Let's solve.

Q: = 10 log x 10g 4 = (2)10 log x (2) log 4 (1 11 |1 10 1094 x - 12 log₂ x 11 = 2010gx log 8 1 8 log x…

A: To simplify the expression.

Q: which is the appropriate comment on Jon's work. 1. In Step 2, the sign of one of the terms is…

A: The objective is to find the appropriate comment on Jon's work.

Q: Prove: २ tan² x sin²x = tan ²x -sin ²³ x ·

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: We can find the volume of the solid .

Q: If f(x) = 3x² − 3x + 5, find ƒ'( – 5). Use this to find the equation of the tangent line to the…

A: Equation of tangent line

Q: no. 3

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Q: Let f(x) = x³. (a) Estimate the values of f'(0), one decimal place.) f'(0) = 0 F'(-/-) = 0.8 f'(1) =…

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Q: (a) Find the average rate of change of y = 3x² with respect to x over the interval [0, 2]. rave =…

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Q: Find f'(a). f'(a) = f(x) = 2x² - 3x + 1

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Q: A pot of soup is removed from a burner on a stovetop. Its initial temperature is 191 degrees. After…

A: NOTE: Refresh your page if you can't see any equations. . newton's cooling law is given by here we…

Q: cos t dx(t) dt + sin tx(t) = 2 cos³ t sin t – 1, - x(0) = 1

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Q: 2. f(x)= x1/2 -2

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Q: $ 3 months $

A: We will find the required.

Q: 3. Find the zeroes of f(x) = = a) X=-4 x+10x+25 x+1 b) X=-2 c) X=-5 d) X=-1

A: Given: f(x)=x2+10x+25x+1

Q: 0 = &p z + XP '++024 -

A:

Q: DO THIS TYPEWRITTEN AND ORIGINAL FOR UPVOTE

A: The solution is given below

Q: 3) y(2x − y + 1)dx + x(3x - 4y + 3)dy = 0

A: On solving this we will get

Q: (2x + e^y)dx + x e^y dy = 0  is an exact DE, please solve its general solution with complete…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution of the…

Q: 3. Determine whether the following function y=c₁x + ₂x³ + 2x²e* - 2xe* is a solution to the…

A: We have to determine given function whether solution of given differential equation.

Q: 2. Simplify the following complex fractions. (3x+1)(x+2) x²-4 (3x+1)(x-1) x² - 1 1. 7 1 7+x X 3.…

A: The given expressions, 1. 3x+1x+2x2-43x+1x-1x2-12. 17-17+xx3. x+h-x8

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x2x² at…

A: Topic- slope and equation of tangent line to curve we are given  f(x)=5x-2x2  and point (-3,-33)…

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: 5. Prove the following using the & - 8 definition of a limit: lim 3 - x = −5 x 10

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Q: Compute the second-order partial derivatives of f(x, y) = 1+ 4x² + 5y² 2² f მე2 (x, y) 2² f dx dy o…

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Q: The equation (x² + y²) dx + (y²x + yx²) dy=0 is a differential equation with "homogeneous co A True

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Q: Problem 2. Suppose f(x, y) = 10e – 7xe", P =(-2,1), and u is the unit vector in the direction of (5,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: 22. Draw the graph of y-cos(x).

A: We can draw the graph in the below steps.

Q: 3) v(2x − v + 1)dx + x(3x - 4y + 3)dy = 0

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Q: Find all (xo, Yo) in which f(x,y), y(x) = Yo has a solution and a unique solution on some open…

A: It is given that, y'=ln1+x2+y2.   The objective is to find all x0,y0 for which fx,y,yx0=y0 has a…

Q: 11) ƒ(x)=x² + 4x² + 5x+2

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Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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Q: 1 lim y→0 Lln (1+y) 1 |- sin y

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Q: The intersection of the surface y = x² and the plane x = 0 resembles which of the following? 4

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Q: 13. k(x) = sin x 0, X 9 x=0 x=0

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Q: An object is thrown upward at a speed of 117 feet per second by a machine from a height of 13 feet…

A: Given: the height h of the object after t seconds can be found using thequation: ht=-16t2+117t+13

Q: TL 2. (x- ycs-xcot) dx + (xcsddy=0; y(1) = 4

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Q: Given x³ - 3x + y² - 2y find the absolute minimum and maximum over the region bounded by y=x+4, y =…

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Q: DETERMINE THE FOLLOWING: 1. Dependent Variable Differential Equation GIVE EXAMPLES AS WELL BUT MAKE…

A: From your question what I understand that you have asked for an example of a differential equation…