1 Let f(x) = 4x+ 1 and g(x)= Simplify the expressions f X-1 g(f(4), and g(f(x). ..... g(f(4) = %3D g(f(x)) =

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: (a) Find the differential dy. y = 5 tan x dy = (b) Evaluate dy for the given values of x and dx. x =...

A: Formula used:  ddxa.x=a.ddxx ddxtan x= sec2x

Q: a) Find a vector that is perpendicular to both w = ỉ – 3+ 3k and i =7+23.

A: As per our guidelines, we can answer only one question. So, here I am answering for a) please repost...

Q: Calculate lim(x->-2)  (x^2- 2x -8)/(x^2 -x -12) . Show all work. At x=-2, the graph has a: ¯Remova...

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Q: Find a parametrization of the line in which the planes x + 2y - 2z = 1 and 3x + 3y – 3z = 0 intersec...

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Q: Identify a function f that has the given characteristics. f(–4) = f(2) = 0; f '(-1) = 0, f '(x) ...

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Q: Find g′(x) for ​g(x)=x −6/7       g′(x)=___

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Q: n that so that they form a rigorous assertion that lim X-

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Q: f(x, y) = xy - 4x - 4y - x2 - y? local maximum value(s) local minimum value(s) saddle point(s) (x, y...

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Q: Let r(t) = (sin(2t), 3t, cos(2t)), t E [-T, "] be the position vector of a particle at time t. (a) S...

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

Q: A box is formed by cutting squares from the four corners of a 11"-wide by 13"-long sheet of paper an...

A: NOTE: Refresh your page if you can't see any equations. .    

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve flr)=3...

A: Question is solved.

Q: Find the domain of the following function. h(x,y) = /x- 8y +6 Select the correct choice below and , ...

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Q: The population of a city can be modeled by P(t) = 12e0.06t thousand persons, where t is the number o...

A: Solution is given below:

Q: x2 + 39 f(x), g(2) h(x) tion decomposition of can be written in the form of x3 + 3x? x2 x + 3

A: Please refer to the image below

Q: Find a formula for the general term an of each of the following sequences. 12. {1,0, –1,0, 1,0, –1,0...

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Q: find the slope of the funetion at Quen point. use the derivative feature of a graphing utility to co...

A: The given function is: gt=-2cost+5 To find the slope of the function at the point (π,7)

Q: Suppose a product's revenue function is given by R(q)=−7q2+500q , where R(q) is in dollars and q is ...

A: Given:        R(q)=−7q2+500q        C(q)=104q+4464    profit function :         Pq=Rq-Cq

Q: Find the first partial derivatives of the following function. f(x.y) = 9x7y

A: The given function is fx, y=9x7yTo find fx and fy

Q: Which of the following is true? O If an infinite series An converges then the sequence of its partia...

A: State the true statement

Q: lim g(r) = 1) +-2- lim g(r) = 2) z+-2+ 3) lim g(x) = r+-2 4) al-2) = 5) lim g(x) = x-2- lim g(r) = 6...

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Q: 1. w = sena cos ß 2. W = w u+v 3. f(r,s) = rln(r² + s²)

A: w = senα cosβw is the function of α and βFirst partial derivatives : ∂w∂α = cosα cosβ     {β will be...

Q: Tutorial Exercise Find dy/dx by implicit differentiation. x +y = 9 Step 1 When finding Y dx dy = y' ...

A: Differentiate wrt x

Q: The sales of a new​ high-tech item​ (in thousands) are given by   ​S(t)=100−90e^−0.4t   where t repr...

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Q: Let f(x) = x – 12x. Calculate the difference quotient f(3 + h) – f(3) h for h = .1 h = .01 h = -.01 ...

A: given:-                 f(x) = x3 - 12x calculate the difference quotient in the following:-

Q: Break-Even Analysis The table below contains price-demand and total cost data for the production of ...

A: We need to find the nearest treadmills.

Q: The admission fee ar the an amusement park is $1.50 for children and $4.00 for adults. On a certain ...

A: The admission fee for the children is $1.50 The admission fee for adults is $4.00 The total number o...

Q: Use the table below to compute h'(2) for h(x) = f(x) g(x). VO 9(z) f'(E) g(z) -2 1/2 1 1 -3 2 1 4 -1...

A: The function h(x) is the product of the functions f(x) and g(x) . The differential rule of product o...

Q: Where on the curve y = (256 + x²) * does the have the greatest slope? %3D NOTE: Enter the exact answ...

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Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = xª – ...

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Q: Let f be a function defined on an interval I, which contains the number c. Then f (c) is the absolut...

A: Recall : f(x) has an absolute (or global) maximum at x=c if f(x)≤f(c) for every x in the domain. f(...

Q: Find the integral: log7 X dx = %3D

A: Solve the following integral

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs of y = e=*, y = 1 ...

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Q: If g is a function that represents the remaining height of a 18 inch candle as a function of the num...

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Q: 6x - 4 if x < 5 Let f(x) = 3 if x 2 5 x+8 Show that f(x) has a jump discontinuity at x = 5 by calcul...

A: the function is discontinuous at x=a if  LEFT HAND LIMIT (LHL) IS NOT EQUAL TO RIGHT HAND LIMIT (RHL...

Q: . Find the derivative with respect to x: y = tan¬(Vx² –- 1) + csc¯²(x),x > 1

A: Given thaty=arctanx2-1+arccscx To find its derivative  

Q: 3. Is the mapping a FUNCTION or NOT? Explain A A-

A: In this question, we are supposed to find that the given mapping is a function or not. 

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Topic :- Differentiation 

Q: An ant is standing at the point (1,1,3) on the surface of a bowl with equationz=x^2+ 2y^2,wherexandy...

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Q: g(x) = Vx - 5 %3D (a) Identify the parent function f. f(x) 3D (b) Describe the sequence of transform...

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three su...

Q: You need new barrels at your winery. You have been asked to consider a price of $20,000, with the fo...

A: Option 1 will be best. Pay cash and receive a $2000 rebate

Q: Let m & n be constants and suppose x 1' (1+3bx + 2x² f(x): тx + b What are the values of m and n so ...

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Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the...

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Q: YOU WILL HAVE OF Problem 1: Solve the equation for x using any method: x? + qx: Louk again at values...

A: Given : (1)   x2 +qx = m   (2)f(x) = -2x2 +5x -3    

Q: A graphing calculator is recommended. Consider the following. cos(x) = x3 (a) Prove that the equatio...

A: Solution is given below:

Q: Beginning with 23 grams of a radioactive element whose half-life is 45 years, the mass y (in grams) ...

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Q: Use the table below to compute h'(2) for h(x) = x² + 2g(x). -2 1/2 -3 1 4 -1 -1 -2 -2 -2 -3 -1 1

A: Solution:  

Q: State the domain and range of the function. ? f(x) = /81-x The domain is . (Simplify your answer. Ty...

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Q: Find the first partial derivatives for f(x.y)= 10x cos (3xy)

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Q: The admission fee ar the an amusement park is $2.20 for children and $2.95 for adults. On a certain ...

A: Let number of admitted children is x  and let number of admitted adults is y