10 -5 10 -5 Ау -5 OK EL X 10

Q: Explain how to find a particular term in a binomial expansion without having to write out the entire…

A: Binomial expansion is to expand and write the terms which are equal to the natural number exponent…

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is

Q: Determine the domain and range of the following parabola. f(x) = x² + 4x + 6 Enter your answer as an…

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Q: a. xy³ dx + (y + 1)e¯*dy = 0

A: xy3dx+y+1e-xdy=0

Q: What is the slope of the tangent line to the curve y^2-2x^2=6-2xy at the point (2,3) ?

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Q: In this exercise you will conclude that a limit does not exist by computing the limiting using two…

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Q: The probability of winning a lottery with one lottery ticket is the number of ways of winning, which…

A: Probability:- The area of mathematics known as probability deals with numerical descriptions of how…

Q: Write a polynomial, P(x), in factored form given the following requirements. • Degree: 3 • Leading…

A: Given :General equation of degree 3 :Px=Ax3+Bx2+Cx+D

Q: Use the formula for nCr to evaluate the expression 7C7.

A: Given: The given expression: 7C7. Formula Used: Crn = n!r!(n-1)!

Q: . For what values of r does the function y = er* satisfy the differential equation y" - 4y' + y = 0?

A: Please see the below picture for detailed solution.

Q: Why did you subtract 115-105 in question #2 and not 110-105? Where did 115 come from?

A: Note:  After seeing the previous solution, we observe that the expert has provided the wrong…

Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

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Q: Solve: cos 2x + 3 sin x - 2 = 0, 0≤ x<2π.

A: Given data:- The given trigonometry equation is, cos2x+3sinx-2=0, 0≤x<2π

Q: Problem 2 There are two points on the graph of the equation y = 2x² +9x² - 60x+12 where the tangent…

A: Explained below

Q: Find an equation of the tangent line to the curve y=4x at the point (1,4)  Tangent line: y=

A: Given query is to find the equation of the tangent line.

Q: Sorry forgot to specify, find the zeros

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Q: Consider the curve given by Find all points on the curve (x,y) where the tangent line is horizontal.…

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Q: ach of the following questions, find the error(s). Then, write out the correct response Given…

A: Given query is to find the composite function.

Q: A right triangle has base a meters and height h meters, where h is constant and a changes with…

A: Given query is to find the relationship between rate of change of angle and  rate of change of base…

Q: What does the 4x represent in the equation? Does it change if the weight of the bag is 95lb?

A: We need to show what 4x represent.

Q: Discuss

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Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

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Q: A pizza can be ordered with three choices of size small,medium, or large, four choices of crust…

A: Given data:- There are three sizes, Small, Medium, and Large. They give four choices,  thin, thick,…

Q: Determining Whether a Linear Function Is Increasing, Decreasing,or ConstantDetermine whether the…

A: Since you have posted a question with multiple sub-parts,we will solve first three sub-parts for…

Q: Evaluate (2x + 4)(3x + 2) d dx A) 6 C) 12x + 16 B) 6x² + 16x + 8 D) 30x² + 43x + 8

A: Given query is to find the Indicated derivative.

Q: PROBLEM: Find the differential equation of the family of hyperbola with center and transverse axis…

A: Solved below

Q: A chemical substance has a decay rate of 6.5% per day. The rate of change of an amount N of the…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a king…

A: Probability:- The field of probability deals with the numerical representation of the likelihood…

Q: The variable interest rate on a student loan changes eachJuly 1 based on the bank prime loan rate.…

A: Given for the years 1992–2007, The rate can be approximated by the model r(x)=−0.115x2+1.183x+5.623…

Q: 1) Consider the function f (x) = 2x³ - 3x² Fill in each blank with the correct numerical answer. a)…

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Q: These are the following jokes about books:. “Outside of a dog, a book is man’s best friend. Inside…

A: Given data  Six jokes about books.

Q: A corporation has seven members on its board of directors. In how many different ways can it elect a…

A: There are 4 different positions: president, vice-president, secretary, and treasurer. Therefore, we…

Q: 6 5 4 3 2 1 y = f(x) 012 lim h→0 = lim f(f(x) + 1) = x → 1- 3 I f(0 +h)-f(0) h I 4 5 I I Enter each…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: In Exercises 55 and 56, solve for k. 55. a. e = 4 b. 100e10k = 200 c. /1000 = a 56. a. ek = - 4 c.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: dx xinx 6. S

A: Given integral ∫dxx ln x Formula ∫1xdx= ln x + C

Q: Find the relative extrema of f(x)=32x² - 4x². Find the absolute maximum and absolute minimum of the…

A: solution is given below..

Q: Find all vertical and horizontal asymptotes. 101 y 5- -10- Vertical Asymptote(s) Horizontal…

A: A vertical asymptote is a vertical line along which the function goes towards infinity or -infinity.…

Q: Newton's law of cooling relates the rate at which a body cools to the difference in temperature…

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Q: A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the…

A: NOTE: Refresh your page if you can't see any equations. .   (height is increasing at a rate of 2…

Q: Find the derivative of: — 2 sin² (9x5). Hint: sin²(x) = [sin(x)]²...so use the chain rule (twice!).

A: To find out the derivative of the function. as per the company rules we can answer only the first…

Q: A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people…

A: Given: n = 13 r = 6 Formula Used: Number of ways  Crn = n!r!(n-r)!

Q: Let y = || = y'"' = = x + 7 X X Hint: Try to do this without using the quotient rule.

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Q: The limit lim h→0 f(x) a = = In(e +h)-1 h represents f'(a) for some function f and some number a.…

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Q: Use synthetic division to find the quotient and the remainder when the first polynomial is divided…

A: See the details solution in below

Q: Use the chain rule to find the derivative of f(x) = 4√9x7+7x10 Type your answer without fractional…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: what is the answer to the problem

A: We want to use implicit differentiation to find partial derivatives.

Q: Find d2y/dx2 if x = 3 - 2z and y = z2 - 3z3

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Q: дz дz Use implicit differentiation to find and if ?x ду дz ?x дz ду = = ln(xy + yz + xz) =5, (x > 0,…

A: See this solution in below.

Q: Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into…

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Q: Simplify the expression to a single trigonometric function. cot (t) csc(t)

A: cot(t)=cos(t)sin(t)csc(t)=1sin(t)