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Q: Determine whether each integral is convergent ordivergent. Evaluate those that are convergent.   ∫-∞...

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Q: Fill in the blanks so that the resulting statement is true.

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Q: Differentiate the function.

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Q: 1 Then find all x-values (if any) where the tangent line is horizontal. If the Use the definition of...

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Q: Prove that limxc f(x) = Lis equivalent to limxc [ f(x) − L] = 0.

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Q: if g(x)  = x Sin-1(x/4)  +  √(16 - x2) , find g'(2)

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Q: Describe how to use Descartes’s Rule of Signs to determine the possible number of negative roots of ...

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Q: Expand and simplify the following product by squaring the binomial. (6y − 3x)2

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Q: What interest rate, to the nearest percent, is required for an investment subject to continuous comp...

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Q: Consider the function f: R → R given by   a) Determine if f is continuous in x = 0 b) Determine if f...

A: To determine: (a) If f is continuous  in x = 0. (b) If f is derivable in x = 0 and in that case find...

Q: A bacteria culture starts with 300 bacteria and doubles in size every half hour. (a) How many bacter...

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Q: Use a graphing device to approximate to two decimal places, the value of x where the graphs of the e...

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Q: Find the minimum value of f(x, y, z) = 2x2 + y2 + 3z2 subject to the constraint 2x − 3y − 4z = 49.

A: Given: Function=f(x,y,z)= 2x2+y2+3z2 Constraint: 2x-3y-4z=49

Q: Find the Taylor Polynominals of f(x)= ln(4x+5), centered at 0 Taylor polynomial of degree 1 ? Taylor...

A: Given Data: Function: f(x)= ln(4x+5) Centered: a = 0   The Taylor polynomial of Degree n is,

Q: Make a rough sketch in a rectangular coordinate system of the graphs representing the equations in t...

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Q: State the name of the property illustrated as  6 . (2 . 3) = 6 . (3 . 2)

A: To state the name of the property used in the given expression.  

Q: Find the indefinite integral, Using Long Division Before Integrating                 ∫(x2 + x + 1)/(...

A: Consider the given expression as

Q: Find the derivative of π^2 .

A: We have to find the derivative of π2    

Q: Consider the differential equation: (3xe-1/y^3-35x5)+(40x-1y7+3x2y-4e-1/y^3)y'=0 a)This equation is ...

A: Given data:     The given differential equation is: (3xe-1/y^3-35x5)+(40x-1y7+3x2y-4e-1/y^3)y’=0    ...

Q: find the area

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Q: solve the following integral

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Q: Gravitational force The magnitude of the gravitational force between two objects of mass M and m is ...

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Q: Evaluate the difference quotient for the given function. f(x) = 4 + 2x − x2,    f(5+h)-f(5)/h

A: Given data:     The given function is: f(x)=4+2x-x2.     Substitute 5+h for x in the given function....

Q: Image attached, thank you.

A: Since you have asked multiple questions in a single request, we will be answering only the first thr...

Q: Vectors What is the angle between x=(3,3) and y=(-9,-3) in degrees?

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Q: Solve the following differential equation

A: The solution of the differential equation has 2 parts, homogeneous solution, and a particular soluti...

Q: Find and graph a function that has both x-axis symmetry, and y-axis symmetry.

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Q: Solve the system (x - y)/3 = (x + y)/2 - 1/2, (x + 2)/2 - 4 = (y + 4)/3 by the method of your choice...

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Q: Solve for w and show all of your work: -4 1 -5w -5

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Q: The weight of a great white shark varies directly as the cube of its length. A great white shark cau...

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Q: Solve the inequality

A: Here, 5q2+30q≤ -125 Add 125 to both sides 5q2+30q+125≤ -125+125 5q2+30q+125≤ 0

Q: Consider the function y=f(x)y=f(x) graphed below.     Give the x-coordinate of a point where: A. the...

A: Since you have asked a question with multiple parts in a single request, we would be answering only ...

Q: Evaluate using substitution. lim 10x2 -2xx→ -1

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Q: The graphs show changing attitudes toward gay marriage for the period from 2001 through 2015. Solve,...

A: Given, a graph shows changing attitudes towards gay marriage for the period 2001 through 2015.

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain...

A: Given integral on left side, Let us solve this integral step by step. First take integral of all th...

Q: Show that f(x) = x3 - 2x - 1 has a real zero between 1 and 2.

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Q: Find the inverse function. A=f(r)=pi(r)^2, r>=0. How do you know that the function you found is t...

A: Steps to find the inverse of a function: 1) The first step is to replace f(x) with y. 2) Replace eve...

Q: 1. If 1 US dollar is equal to .85 euro, define a function f that takes as input a number of US dolla...

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: A continuous function y = ƒ(x) is known to be negative at x = 0 and positive at x = 1. Why does the ...

A: Its known that the function is negative at x=0 and positive at x=1. To answer this question we can u...

Q: Use a graphing device to approximate to two decimal places, the solution to the following equation. ...

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Q: "Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real n...

A: To simplify the given expression by using product rule.  

Q: In a hurricane, the wind pressure varies directly as the square of the wind velocity. If wind pressu...

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Q: OXYGEN CONTENT OF A POND—The oxygen content t days after organic wastehas been dumped into a pond is...

A: Consider the given function: Put the value of t=0 and t=10 in the function and obtain the value of t...

Q: Use Leibniz’s Rule to find the derivatives of the functions

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.