The temperature T, in degrees Fahrenheit, t hours after 6 AM is given by: 1 T(t) = -t2 + 8t + 32, 0

Q: The position of an airborne object at any time t is given by h(t) =-9.8t²+25t+10 Show your step by…

A: To Determine: at which values of t is the object moving downward? Given: The position of an airborne…

Q: Average Linh has obtained scores of 82, 75, and 71 on hermidterm algebra exams. If the final exam…

A: Since Avearge Linh has obtained scores of 82,75 and 71 on her midterm algebra exams. If the final…

Q: A molecule is moving along the x-axis such that at any timet 2 0 (in seconds), its position from the…

A: Find your answer below

Q: Use the method of reduction of order to find a second solution t t'y'' + 4ty' - 4y = 0, t > 0 |…

A:

Q: Q12: What is the formula of The general solution for a D.E. with variable coefficients about…

A: Given x0 is an ordinary point of the differential equation.

Q: For y''+3y'+2y=e^-x, use the variation of parameters formula to find a particular solution. Show…

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Q: Q1. Find the maximum and minimum values of f? (Using Graphical Method) f = 10x + 28y Subjected to:…

A: Consider the given function. fx,y=10x+28y And, the subject is defined as, 5x+5y≤1502y-5x≤2y-10≤7…

Q: 3. In the following equations, find the values of C1 and C2 so that the given functions will satisfy…

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Q: The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4xr where r is the…

A: If f is a function of x and x is a function of t, then ft is nothing but the composite function fxt.…

Q: gc)= Where is gux) increasing where is gixJ decreasing.

A: Given function: gx=x2-12x2-4x+3 The function is increasing in an interval where f'x>0 The…

Q: Use the method of reduction of order to find a second solution to t°y" + 3ty' – 3y = 0, t > 0 Given…

A:

Q: S(r) = -x² + 2r + 15 What is the minimum or maximum of f (x) (put "0" if there is no minimum or…

A: Given function is fx=-x2+2x+15. To find the minimum or maximum of fx. Solution: Given function is…

Q: s2 Y(s) : Find y(t), also what is y (0)? s3-2s2-s +2

A: Given :- Let Ys = s2s3 -2s2 -s +2 To determine :- find yt and the value of y0.

Q: A ball is thrown into the air and its position is given by h(t) = -5.3t² +22t+21 where h is the…

A: Note to student :   Thanks for posting your queries. But there are multiple questions given. As per…

Q: Antonio has $5.00 to spend on a lunch consisting of hamburgers($1.50 each) and french fries ($1.00…

A: Antonio has $5.00 to spend on a lunch consisting of hamburgers ($1.50 each) and french fries ($1.00…

Q: Find the absolute maximum of the function f(x) = x-x-x On the interval - 10 sxS2 (a) 14 (b) 13 (e)…

A: To find absolute maximum and minimu , first, we need to find critical points. These are the points…

Q: The height above ground of an object movingvertically is given bys = -16t2 + 96t + 112,with s in…

A: Given function for height - s = -16t2+96t+112Differentiating on both sides with respect to t - dsdt…

Q: A molecule is moving along the x-axis such that at any time t 2 0 (in seconds), its position from…

A:

Q: dz IV. Suppose z is a function of x and y, and ax² – y? = 2"e6y. Solve for dx

A: Given: z is a function of xand y and x2-y2=zxe6y. To find: ∂z∂x

Q: If the power of the rocket handler is given by [(t – 11)(t² + 1) + 5(7t – 5)]e-0.5t Where t is the…

A:

Q: solve for y in terms of t or x, as appropriate.

A: given: lny=-t+5 we have to solve for y in terms of t or x, as appropriate

Q: A particie moves along the X-axis so that at time t > 0 its position is given by x(t)= 2t3 +…

A: Given that xt=2t3+3t2-36t+50t≥0To find the total distance in the interval 0≤t≤5

Q: A ball is thrown into the air and its position is given by h(t) = - 4.3t2 + 41t + 15 where h is the…

A:

Q: Q2: Find the missing values: - S7²G- 1)*dr 2-r- 2V = 02/3 +03/4, `18 dr de B- The function y = 2x…

A: Use substitutions for integration Differentiate wrt theta For vertical asymptotes put denominator…

Q: The equation f(x)= x² -e* has a solution [-1, 1]. With po= -1 p1=1, calculate p2 using the the…

A: The secant method uses the formula: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iteration. The…

Q: Suppose that SpaceX launches a rocket at t = 0 seconds and that its height, in meters above…

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Q: The vertical position of a particle is given by the function s = t – 3t2 – 2. How far does the…

A: Topic = Algebra

Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

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Q: 1) Suppose you are driving on a straight, level highway without any hills, and your distance away t3…

A: Gas pedal is closest to the floor of the car when the rate of change of distance is 0 or velocity is…

Q: The revenue function R in terms of the number of units sold, a, is given as R= 280x – 0.4x? where R…

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Q: The value of a timber forest after t years is V(t) = 444 t - 37t (for 0 sts 50). Find when its value…

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Q: The number of parts produced per hour by a worker is given byN = 4 + 3t2 - t3 Where t is the number…

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

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Q: A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² − 15t…

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Q: The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4tr where r is the…

A: find the surface area S of the balloon as a function of the time t.

Q: ts1 Solve for (1+t2)y' + 4ty = f(t), y(0) = -3/4, with f (t) = { _ t 1

A: Solve

Q: The height, h, of a projectile above the ground t seconds after liftoff is given by the function,…

A: The height is given as :- h(t)=-3t2+72t   for 0≤t≤24 Time when the projectile reach its maximum…

Q: ball is thrown vertically into the air has its height above ground given by  y(t)=112t−16t2 , where…

A:

Q: h(t)= -2t^3 + 23t^2 - 59t + 24 Why do you think this model's practical domain is only valid from…

A: Polynomial function

Q: The revenue function R in terms of the number of units sold, a, is given as R= 260z-0.3.z2 where R…

A:

Q: The total revenue in Php received from the sale of x units of children toy is given by R(x) = 3x² +…

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Q: t1, [ne*]dx. Find the minimum value of n for which [I] exceeds 2.

A: We have to solve given problems:

Q: ty" – (t+1)y' + y = 0, y1 (t) = e']|

A:

Q: The position of a particle moving along the x-axis at any time t in seconds is given by x(t) = -2t2…

A: x(t)=-2t²+3t+5 To find the (a) position, (b) velocity and (c) Acceleration at t=5

Q: An inferior product with a large advertising budget sells well when it is introduced, but sales fall…

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Q: The number of newspaper copies produced from 1995 to 2002 is given by C = 50t2 - 200t + 10,000,…

A: Here we want to find minimum number of copies of newspaper produced. Here we use application of…

Q: Q:: A- Solve for X, e2x + 2e* +1 = 9 B- Use the Trapezoidal rule with n=2 to estimate fdx, to find…

A:

Q: ty" – (t+ 1)y' + y = t?

A:

Q: 3. Find the absolute maximum value of f(x) = x³ – 3x² on the interval -15x<3 (A)–4 (B) 0 (C) 1 (D) 2…

A:

Q: Q1: Find the maximum error for the function fr.y.2)- 3xyz, where -1-0.01. y - 2:0.03. -320.04

A: Since you have posted 2 questions in single post, here i can give only Ans. 1 please repost the…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.