A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 10,000), then the price per sticker is 0.21 − 0.000002x  dollars, and the total cost of producing the order is 0.096x − 0.0000005x2  dollars.

Q: Find k such that f(x) = x3 - kx2 + kx + 2 has the factor x - 2.

A: The general polynomial equation of degree n  is an equation of the form…

Q: Use Muller's method to determine the po a. f(x) = x³ + x² - 4x4 b. f(x) = x³ -0.5x² + 4x - 2 c. f(x)…

A: Here, in the question we are given three set of equations for which we have to find the real root…

Q: A and Bare open and bounded.

A: For second one we can take any two open interval one of whose right end point ar same of the others…

Q: A bus can accommodate a maximum of 60 passengers. If X denotes the number of male passengers, what…

A: If there are maximum 60 passengers that can be accommodated in the bus, then the possibilities of…

Q: Var(X)=3, what is Var(2X + 1)?

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Q: 8. Given f(x) = -4x5-3x3 + 4x² -7, use synthetic substitution to find f(-3). %3D

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

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Q: Divide x – x4 + 3x³ + 2x2 – x + 1 by x³ – x² + 1, finding the quotient q(x) and remainder r(x).…

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Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is givenby…

A:

Q: 1. Differentiate. Show your work to get credit. a) g(x) = x* In(2.x² +7) by using the product rule.

A: SInce multiple subparts are asked, I am ansering only first 3

Q: Let f(x)=x -12x-1 on [-5,4]. F the Closed Interval Method to find t

A: fx=x3-12x-1f'x=3x2-12Critical point satisfy the condition f'x=03x2-12=03x2=12x2=123x2=4x=±2critical…

Q: The domain of f(x) = Vx² – 3 is {x:xs-V3 or x2 V3} True O False

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Q: p(t)= 0.86t2+3.5t+365 / 0.014t2+ 0.092t+5.77 where p(t) is the percentage of voter-elegible latinos…

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Q: Find Valume x zO; Ekort the X3D2; 0 about the x- axis

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Q: If f(x) = 3x — 7, find the image of 2 and the preimage of 2

A: Given: fx=3x-7 To determine: Image &amp; pre-image of 2.

Q: 4. Find the absolute maxima and minima for f(x) = 4x - 9x2- 12x-1 on the closed interval [0, 4].

A:

Q: Find the sum of the values of f(x) = x2  over the integers 1,2,3,...,10

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Q: Find k such that f(x) = x4 - kx3 + kx2 + 1 has the factor x + 2.

A:

Q: Consider the following. Fx) = * f(x) 4 14 - 32x2 Find the critical numbers. (Enter your answers as a…

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Q: S x² - 2x² + 3x² -x +3 "x²³ - 2x² + 3 +3

A:

Q: 4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4].

A: I have Provided this answer in step-2. i have given an only one answer because as per our policy.

Q: Find the interval of increase of p(x)=x2+5x+6

A:

Q: consider the rational model p(t) = 0.86t2+3.5t + 365/ 0.014t2+ 0.092t + 5.77 where p(t) is the…

A: The given function is p(t)=0.86t2+3.5t+3650.014t2+0.092t+5.77. It is given that, p(t)=59.2%.…

Q: Express the rational functions as partial fractions: x² – 4

A:

Q: Jse f(x) = x²-x, g(x) = 9 – 2x, and h(x) = x² + 2x-63 Evaluate (go h)(-1)

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Q: Does f(x) = x - x - 5 have a real zero between 1 and 2? %3D

A: f(x)=x3-x-5 have a zero between 1 and 2.

Q: 4. Differentiate using first principles. f (x) = -3x² + 4x + 6

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Q: b) Find the absolute relative approximate error for the second order polynomial approximation.

A: Solution

Q: Apollo manuFactures smartyphones at a variabl6 cost oF V Cx) = Q,000003x³ - 0, 3x² + 200x doll ars,…

A:

Q: 4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1 <x< 1 and concava…

A:

Q: c. Find all the points X1 x2 in R3 [x3. that are transformed to Explain.

A: Given, the transform spantial coordinates                               x1x2x3into plane coordinate…

Q: What is the sum of all y-coordinates of the inflection points of f(x)=x^5 - 5x^4+ 3x - 2?

A: An inflection point is a point on the graph where the second derivative is equal to zero or…

Q: y = C₁e⁻³ˣ - 2c₂e⁻³ˣ

A: differential equation

Q: Alice is in a 20-km running race. She always runs the first half at an average speed of 2 km/h…

A: Alice is in a 20-km running race.She always runs the first half at an average speed of 2km/h faster…

Q: Where is /(x) = 4(x=2)^ + 2(x-2) increasing?

A: We first find f'(x) using the power…

Q: Find the linearization at x = a. f(x) = 3x², a = 1 (Use symbolic notation and fractions where…

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Q: g(x)+-8x(1-2x)+2(-7x2+6+7x)

A:

Q: 4. If the domain of f(x) is -35x59 and the range of f(x) is 25ys15, then which of the following…

A: Here we can use the concept of transformation of function as for given function f(x) the…

Q: Find (f 1)(a) for f(7)=0, f'(1)=-1, and a=0. -л -1 1/л -1/n

A: topic - derivative of inverse function

Q: Q4/B/ Find f-'(x) and test, if f(x) = -(x+ 2)2 -1.

A:

Q: The average pollen count in a certain city on day x of the pollen season is  P(x) = 8x − 0.2x2…

A: The average pollen count in a certain city on day x of the pollen season is  Differentiating with…

Q: The algebraic translation of "x is no less than 7" is .

A: Given statement is "x is no less than 7:. To translate into algebraic form. Solution: Given that x…

Q: Use intermediate theorem to explain P [x] = x* – x' – 10 has a zero in [2, 3]

A: According to intermediate value theorem of a function f(x) is continuous on [a, b] and L is any…

Q: Find the sum of the values of f(x) = x³ over the integers 1, 2, 3, ..., 10.

A: The given function is fx=x3, over the integers 1,2,3.......,10.

Q: True or False The domain of 1f # g2 1x2 consists of thenumbers x that are in the domains of both f…

A: The domain of (f·g)(x) consists of the numbers x that are in the domains of both f and g

Q: 3. Without referring to its graph, clearily explain why P(x) =4--6x +4 has an output of Vi on the…

A: 3. Given function is Px=4x3-x2-6x+4

Q: 3s Use the convolution theorem to find L-1{

A: