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Q: A time study showed that, on average, the productivity of a worker after t hours on the job can be m...

A: The productivity of the worker after t hours is given by: P(t)=21t+6t2-t3, 0≤t≤8 where P is the numb...

Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular r...

A: Given:- The function is, f(x,y)=3xy-3x-6y+1on the closed triangular region whose vertices are (0,0),...

Q: popsicle is taken out of the freezer with an internal temperature of 32◦F and is allowed to warm in ...

A: Given problem:- A popsicle is taken out of the freezer with an internal temperature of 32◦F and is a...

Q: Find the differential of each f (a) y = 1 + 4s dy =

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

Q: y" + 4y = 4 cos x + 3 sin x – 8

A: For particular integral of cos ax or sin ax we put       -a^2 in place of D^2 in F(D)

Q: Solve each triangle. Nearest tenth.

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Q: 2. Let E be the piece of the cone z = Va² + y² lying between z = 0 and z = 1, oriented with the 'out...

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Q: 137 What is the value of cos-(cos d) where d = 15T radians? If undefined, enter Ø. 2 Provide your an...

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Q: 6 and its graph, use the graph to determine the following. r(x) 10 하 6 4 2 -4 -3 -2 -1 -2 1 2 3 4 -8...

A: where f'(x) is positive f(x) will increase and f'(x) is negative then f will decrease , observe the ...

Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Given the improper integralI=∫01ln(7x)dx

Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. f(x) = cos x, a == Po(x) =]...

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Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:  f...

Q: ogress Incorrect. Find the general term of the sequence, starting with n = 1, determine whether the ...

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Q: 3x -dx x4 + 1 Evaluate the indefinite integral. + C

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given series ∑n=1∞ n1212nso an=n1212n

Q: 1. Find the length of the curve r(t) = (sin 2t, cos 2t) from t 0 to t = 2n. %3D 2. Find the length o...

A: As we know that, The expression for the length of vector-valued curve is: L=∫abx't2+y't2dt   1). Giv...

Q: The table below gives data from a linear function. Find a formula for the function. Year, t Value of...

A: We have to find the linear function.

Q: 1+ x)y = e¬=

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Q: 1.which of the following is the inverse of f(x)=sqrt(x^2-4) a.f^-1(x)=sqrt(x^2-4);x≠4 b.f^-1(x)=x-...

A: Topic = Functions As per guidelines , At a time only one questions can be answered out of multiple q...

Q: 11+11-12=

A:

Q: (a) Find the equation of the secant line joining the points (-1, –4), and (3, 0). y= (x+1) - 4 (b) U...

A: Given query is to find the equation of the tangent line at 1 and graph the function with tangent and...

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 6)...

A: The given series is: ∑n=1∞ -6nn35n

Q: 7. Find T, N, ar, an at t=n. r(1) = 4cos(1)i–4sin(r)j-3rk

A: Tt = r'(t)r'(t) and N(t) = T'(t)T'(t) aT = r'(t) .r''(t)r'(t) and aN = r'(t)×r''(t)r'(t)

Q: use implicit to tind the eguation of the tangent line tothe Ealloming differentiation Curve at' the ...

A: Topic = Derivative

Q: How does a transformation of a logarithmic function change the domain of that function? Be careful t...

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Q: Express the repeating decimal as a fraction. 0.685828282828...

A: Given that 0.685828282828 Convert the repeated decimal as a fraction.

Q: 13 What is the Maclaurin series of 1+x Σ (Type an expression using n and x as the variables.) n=0

A: Given: f(x)=131+xTo find the Maclaurin series for f(x):f(x)=∑n=1∞ xnf(n)(0)n! ;    n=0,1,2,...Formul...

Q: Find the most general antiderivative or indefinite integral. You may need to try a solution and then...

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Q: What is lim1 f (x) ? X

A: Find your answer below 

Q: Solve by integration by parts.

A: Given that: ∫1x1+x6dx

Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

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Q: For the function y = f(x) = 2x + 0: df at x da a. Find f'(-4) = Eind a formula for E-12) 4.

A: Given that: f(x)=2x3+0:

Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: d²f , df_ (a) +5- - + 6f =0, f(0)=1, f(0) =- 4 dt? dt

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Q: Use the difference an+1 a, to show that the sequence - {n – 3"}, is strictly increasing or strictly ...

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Q: Consider the initial value problem y'(t) = Y(0) = 3. 2y a. Use Euler's method with At = 0.1 to compu...

A: The given initial value problem is: y'(t)=12y ;         y(0)=3Here f(t,y)=12y,    t0=0,  y0=3

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: cos (0) = -0.115 Round your answer to the nearest thousandth. Provide your answer below:

A: follow next step

Q: 3. Use the given acceleration function to find the velocity and position functions, and then find th...

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Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2 ...

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Q: (y cos x + 2xe)dx + (sin x + x²eY – 1)dy = 0

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Q: The two functions x(t) and y(t) satisfy the simultaneous equations dx/dt - 2y = -sin(t), dy/dt + 2x ...

A: Given: dx/dt - 2y = -sin(t), dy/dt + 2x = 5cos(t)

Q: Find a continuous solution satisfying the given differential equation and the indicated initial cond...

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Q: 6. Find a set of parametric equations for the line tangent to the space curve at the given point. 2 ...

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Q: 1. Prove that the two sets of conditions are equivalent. Here, T is a linear transformation and u, v...

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Q: lenry made juice from a recipe that called for 1 cup of sugar, 3 cups of lime-drink mix, and 2 gallo...

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Q: If an upper bound exists, then it is unique.  true or false

A: An upper boond of a set is an element which is larger or equal to all elements of set A. For example...

Q: Given the function: f(x,y, z) = x°y2² + æy° +y°z Find а. fazy: (x, y, z) b. fazyz(1, –1, 1) -

A: Given the function :  f(x,y,z) = x3y5z7 + xy2 + y3z

Q: Which of the following intervals will contain all of the function values of f (x) on the interval-4,...

A: We can solve it by cross check from given options  Let we select 0 from interval [-4,1] at x=0 f(0) ...