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Q: Let s(t) = t2+2 be the position of a car on a road, where s(t) is in feet and t is in seconds.  Find...

A: Given,

Q: 16. Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x) ...

A: Given,

Q: Hiking to a Geological Dig Site You are part of a team to go on a geological dig site and will arriv...

A: Firstly, we will find length of BD by applying cosine formula in triangle ABD as shown below.

Q: Can you please find the x and y intercepts, maximum and minimum, vertical and horizontal and show th...

A: Given,

Q: Calculus Question

A: Suppose A,B and X are n X n matrices with A, X an A-AX intertible and suppose (A-AX)-1  = X-1 BExpla...

Q: Word problem involving comic sections A satellite dish is shaped like a paraboloid of revelation (us...

A: From the given information it is observed that, the vertex of the parabola is (0,0) and let it open ...

Q: A person invests 3000 dollars in a bank. The bank pays 5.75% interest compounded annually. To the ne...

A: Given:A person invests 3000 dollars at 5.75% interest compounded annually. The accumulated amount is...

Q: 29. A person wants to establish an annuity for retirement purposes. He wants to make quarterly depos...

A: According to the given information:Rate of interest = 7.32% = (7.32/4) % = 1.83% = 0.0183Number of q...

Q: Find the volume of the solid obtained by rotating the region bounded by y=x and y=x^(1/2 )about the ...

A: Given:Find the volume of the solid obtained by rotating the region bounded by y = x and y =x(1/2) ab...

Q: Calculate the definite integral by referring to the figure with the indicated areas. f(x)dx B. Area ...

A: Given:Area A=1.405Area B=2.83Area C=5.798Area D=1.712

Q: plot the point in the complex plane using rectangular coordinates -5 + 4i

A: To plot the point of complex number -5+4i in the complex plane

Q: Find the fourth degree Taylor polynomial T4(x) of f(x) = Inx centered at a = 1. %3D

A: For a =1,

Q: Let S be the triangle with vertices (4.2, 1.2, 4), (6, 4, 2) and (2, 2, 6). Find the image of S unde...

A: Let D be the data matrix for S.

Q: 15.) Use Descartes Rule of signs to determine how many positive and how many negative real zeros the...

A: Consider the given polynomial:

Q: Let f(x)=2x2-1 and consider the partition {-1,0,2} of the interval [-1,2]. Find Lf(P) and Uf(P).

A: Formula used:

Q: derivative of y=[x+(x+sin2(x))3]6

A: Given,

Q: can you please help me out with question 2, explanations+ solutions.

A: Given:

Q: Find the area, in square units, bounded above by f(x)=2x2−5x+4 and below by g(x)=3x2−20x+58.

A: To determine the area between the curves, first find the extreme point by equating the functions of ...

Q: What is the derivative of f(x) equals the third square root of x times the fifth square root of x?

A: Given function is

Q: A bathtub contains 55 gallons of water and the total weight of the tub and water is approximately 80...

A: It is given that, v denotes the number of gallons of water that is drained from the bathtub. Also, t...

Q: r2 Evaluate xe* dx. хе

A: Find the value of definite integral.

Q: Find all asymptotes of g, where g(x) = (e^x-e^-x)/(2e^x+3e^-x)(use limits in your solution)

A: The given function is,

Q: Find the most general antiderivative or indefinite integral. Check your answers by differentiation. ...

A: Given:

Q: y = f(x) 2] (4) 3. Calculate or estimate each of the following limits from the graph. (a) lim f(x) =...

A: (a)From the graph, it can be observed that:

Q: 2. The DTDS given by P+1 = 3(P; + 18) describes a population in which 18 individuals are added to th...

A: To calculate the following parts.a). starting from a population of P0 = 8 individuals, calculate the...

Q: For an average person, the rate of change of weight W (in pounds) with respect to height h (in inche...

A: Given:

Q: A closed rectangular box with a square base is to be constructed using two different types of wood. ...

A: Let x be the length and width, and y be the height of the rectangle box.Therefore, Surface area of t...

Q: Consider +he following piece wise defined function If xL3 F (x) = !+X!h 9) show flx)Is continuous at...

A: We have to find the left hand limit and right hand limit of x=3. If they are equal then f(x) will be...

Q: Please answer number 4  and show the steps

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. ...

Q: find the chartenistic polgnomial and the real eigenualue of matnice

A: Let the given matrix be

Q: ) At time t, t 0, the volume of a sphere is increasing at a rate proportional to the reciprocal of i...

A: Rate of change of volume = dV/dt It is proportional to 1/r

Q: A company's marginal cost function is C'(x)=0.015x^2-2x+80 dollars, where x denotes the number of un...

A: To determine the cost of production.

Q: Evaluate the following indefinite integral. + 4/x dx + 4/x dx = ||| (Use C as the arbitrary constant...

A: Evaluate the given indefinite integral: 

Q: Express 0.8888888888... as a ratio of integers.

A: The given decimal number is,

Q: I need help with 2a and 2b

A: To determine:Part a) Power series representation of the function and its interval of convergence.Par...

Q: Find the integral. (Use C for the constant of integration.) [(++ 3)cos( 2 + 6t) at (t + 3)cos( t2 6t...

A: To find the integral

Q: The drug Valium is eliminated from the bloodstream exponentially with the half-life of 36 hours. Sup...

A: Given,

Q: 35. Superb Bike Company makes two models of bikes: the Tourismo and the Racer. Their profit is $10 o...

A: As per the question, the profit of Superb is 10 on a Tourismo and 30 on a Racer.Therefore, let x be ...

Q: (x+1)2/9+ 9(y-1)2/16=1 Solve find all the parts to comic section step by step

A:

Q: Find the integral.

A: Given,

Q: 20. Use the following information to sketch the graph of the continuous func- tion y = f(x) whose do...

A: First observe that the function is continuous and its domain is all real numbers.Start by plotting t...

Q: #5

A: Given:

Q: Can you please explain how it changed to 3000e...etc to -50000e..etc. Thank you

A: We will try to simplify this integral first. Using substitution.

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations a...

A: The weekly price demand and cost equations are shown below.

Q: A plane flying with a constant speed of 19 km/min passes over a ground radar station at an altitude ...

A: Given that a plane flying with a constant speed of 19 km/min passes over a ground radar station at a...

Q: and let K K be a scalar. Let A = fonmula nelates det KA to that find. a and det A.

A:

Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Starting with a 20-foot-long stone wall, a farmer would like to construct a rectangular enclosure by...

A: The rectangle is of length= x+20 feet And width = w feet20 feet of the perimeter is stone wall. So r...

Q: Calculate the definite integral by referring to the figure with the indicated areas. fox)dx Area A =...

A: Since region  (C) is above x-axis , so th definite integral of f(x) from 0 to c represents the area ...

Q: 41. Maximize Q = xy, where 3x + 4y 24. 3.5] = x² - 2y where 42. Find the minimum value ol (O x-2y 1....

A: The maximize function is,