Determine the expression for F (x, y, z) given the function F(x, y, z) = 2x²y - xz² + 3y²z.

Q: Five years ago, Marcus was three times as old as Theresa. In two years, Marcus will be twice as old…

A: To find the present age of Theresa.

Q: 66. The Rule of 70 A well-known rule in the world of finance is that an annual interest rate of R%…

A: (a) The equation to be solved is P·ert=2P, which can be done as follows: ⇒ert=2 [Canceling P from…

Q: If A-¹ -0.2 0.4 0.3 0,find Eigen values of A.

A: Eigen value

Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

A: We are given the following. At t=2 seconds, f(2)>g(2). So, Vehicle f has traveled farther at t =…

Q: The f'(5) for y = √3x² + 6

A: Solve the given for f'(5)

Q: 2. Use the given graph of y = f(x) to sketch the graph of its derivative f'(x). -5-4 -3 -2 -1 20 16…

A: We need to graph the derivative function. NOTE - As per Bartleby's guidelines we can solve one…

Q: Find the distance from the point (3, −2, 5) to the plane x + 2y + 3z = 12.

A: The point is given by x1, y1, z1 = 3,-2,5 The equation of plane is x+2y+3z=12 Formula Used: The…

Q: A population of 580 bacteria is introduced into a culture and grows in number according to the…

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Q: Mensuration of 2D shapes: Shape Right Angle Triangle Rhombus Parallelogram Trapezium Area (Square…

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Q: Is the function g(x) continuous at x = 2? G(x)= x-2' 4, for x # 2 Yes No for x=2 Choose the correct…

A: Using the formula:Average rate of change of F(x) at a,b is:    (F(a)-F(b))/(a-b)

Q: 19. Radioactive Strontium The half-life of strontium-90 is 28 years. How long will it take a 50-mg…

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Q: Evaluate this

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Q: Solve the following initial value problem for r as a function of t. d²r Differential equation:…

A: The given equation is; d2r/dt2=5eti-e-tj+18e3tk.

Q: Find the average value of the function ?(?) = (? − 3) 3 on the interval [2,5]. Then find the value…

A: See the details solution in below

Q: Use Convolution to solve inverse laplace laplace of a function: L"{3²²-1}

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: ²

A: Given that

Q: A cold drink is poured out at 55°F. After 2 minutes of sitting in a 60°F room, its temperature has…

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Q: Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤0 (a) The solution…

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Q: Solve for y 6y = 12/7 y = ? simplify your answer as much as possible

A: Given: The given equation 6y=127 To find the value of y

Q: etermine whether the function is one-to-one r(t) = t6 - 6, 0≤t≤7

A: A function r=f(t) is said to be one to one iff of different values of t, r takes different values.

Q: Question d Siven r(t) = 5t¹i — 5 cos (t)j + eſtk, find — [7t³ - r (t)]. dt Provide your answer…

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Q: 1 cos(4(1.001)-4) 2((1.001)-1)

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Q: Find volume of parallelepiped which sides the vectors A = i + j + k, B = 2i3j+ k, and C = 3i - j -…

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Q: -5+ Use the graph of f(x) above to estimate the value of f'(-3) to one decimal plac f'(-3) =

A: Use Definition of limits to calculate f'(-3)

Q: Find the equation of the plane through the point P=(3,5,5)P=(3,5,5) and parallel to the plane…

A:

Q: 2. Find the equation y=x²-3x² of the normal line at a given point on the given curve. + 4 @ (2,8)

A: Solution: y= x4 -3x2 + 4  @ (2,8) dydx=4x3 - 6x  at x =2=32-12=20

Q: 2. To the right, you are given the graph of the function 2-2 x-1 f(x) = 22 x1 x 1 (a) Use the graph…

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Q: 6. Find where the function f, pictured in theon the right, is decreasing.

A: To find out the intervals at which the given graph is decreasing.

Q: An implicit equation for the plane passing through the points (−2,−1,3)(−2,−1,3), (−6,0,5)(−6,0,5),…

A: We have to find out the equation of plane passes through three given points. I have appended the…

Q: What is the Domain and Range f(x) = 1/√x³+8

A: Here we have to find out the domain and range of the given function.

Q: 10. Determine the value of x in the figure below. Round your answer to two decimal places. 115 56°…

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Q: For each equation below, determine if the function is Odd, Even, or Neither f(x) = 3 - x² Select an…

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Q: DIFFERENTIAL EQUATION  UPVOTE WILL BE GIVEN. PLEASE WRITE THE SOLUTIONS IN THE SAME FORMAT GIVEN…

A: Let's solve differential equation type,order and linearity.

Q: Suppose the binomial expansion of (5x + 2y)" includes the term 175000x¹y³. The y term in the…

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Q: Solve the following system using Gause- Seidal iteration method for n=5 and initial values XO 4x1 +…

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Q: Is the function continuous at x = -1? O Yes O No

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Q: g(x) = 3 √√x+1

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Q: Use the Newton-Raphson method to find the single real root (n=5) of the function: f(x) = ln(x) − 2…

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Q: Find the average rate of change of f(x) = 3x² + 2 over each of the following intervals. (a) From 3…

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Q: lim 2"-1 = x-0 A B C D 0 In 2 1 1 In 2

A: limx→0ax-1x=lna

Q: If U₁ = sin (zx/L) cos (avt/L) and U₂ = sin (3xx/L) cos (3лvt/L) are solutions to the wave equation,…

A: If you don't understand any step please comment.

Q: Evaluate f(4) and f(4.1) and use the results to approximate f'(4). (Round your answer to one decimal…

A: This question can be solved using the formula of approximation of derivativesf(a+h)-f(a)=f'(a)×h

Q: nstructions: In each of the following, eliminate the arbitrary constants. 5. sinx + y2 = ax2 6.…

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Q: 1) (e4x + 2xy2)dx + (cosy + 2x²y)dy = 0

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Q: A company wholesales shampoo in a particular city. Their marketing research department established…

A: Given Supply equation ps=x300+12 Demand equation pd=9900x

Q: r(t) = (t¹,t¹) g(t) = sin(5t) Evaluate the derivative using the Chain Rule. (Use symbolic notation…

A:

Q: follow. Rudgene Claire, the President of Women's Association of their barangay, proposed a project:…

A: Given that perimeter of a vegetable garden is 40 meters.

Q: y = 6 - 2x y = (x + 1)² X . If R is the base of a solid and cross sections through the solid taken…

A: Given problem:-

Q: (a) Find the slope of the curve y=x³-7x at the given point P(1,-6) by finding the limiting value of…

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Q: Given f(x)=2x-4 and g(x) = ax² + 2x-10. If f(g(2)] is four times of ƒ(4), find a.

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