Find the divergence of the field. F = ze xyz + xe xyzj+ ye8xyzk div F =

Q: pls solve the laplace transform of this function. you can use the table of laplace transformations…

A: To find the Laplace transform of given function

Q: Find the maximum area of a triangle formed Area= the

A: we will find the required.

Q: QUESTION 14 Estimate the area under the graph of f(x) = 1 + x from x= -1 to x=2 using three…

A: To estimate the area under the graph of fx=1+x from x=-1 to x=2, by using three rectangles and left…

Q: If the average rate of change of biomass (in mg) of a bacteria culture from time t = 1 hours to t =…

A: Ans= 23 mg  For detail...go through the solution...I have solved in detail

Q: Find the average value of the following function over the given interval. Draw a graph of the…

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Q: 5) y = sin(0 + ²) + 4 2

A: We have to graph the given function.

Q: Determine the general/particular solution (whichever applies): y"-6y +25y=64e- Oy=e³ [c₁cos(4x) +c…

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Q: 5. Given the region R on the right, use vertical strip, SET UP the double integral that will solve…

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Q: Find the interval of convergence of the following power series. (5 — 2)n 7³ Σ(-1)". n=1 O 5 0 / / x…

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Q: Consider the differential equation Question 3 ( x²y" + 3xy' − 3y = 3x² – 2x³. -3 (a) Verify that y₁…

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Q: xln y = 7:3 at x = e

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Q: What is the absolute minimum value of the function f(x) = x³ - 3x² on the interval [-2,4] a. 16 b.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Question 3 y" + 2y = xexy(0) = 6 y'(0) = -1 Use the editor to format your answer

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

Q: Q3) Show that the locus of extremum points (i.e., maximum and minimum, spinodal) of constant…

A: Given: vander wall equation           (P+an2V2)(V-nb)=nRTlet n=1P = RTV-b-aV2Pr=3vr2-2vr3

Q: Work Problems ( a) Let ) f(x) = x² - 6x³ + 12x² - 16x - 65. Find the concavity and the inflection…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Suppose that f(x) O a) Ob) O c) 3 (12)+12 3 3(37³12)-1 7 3(3-1)+2 3 d) 3(3-1)-1 - 3 2³12 and g(x) =…

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Q: Complete the following steps for the given function, interval, and value of n a. Sketch the graph of…

A: We have to find the midpoint Reimann sum.

Q: Produce graphs of  f that reveal all the importantaspects of the curve. In particular, you should…

A: f(x)=x6-16x5+75x4-125x3-x The objective is to produce graphs of  f that reveal all the important…

Q: Consider the right triangle where the side opposite ◊ is 11√2 and the adjacent side is 22. Step 2 of…

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Q: Evaluate the following integral t+2 Provide your answer below:

A: Take t+2 = u and then go ahead

Q: Show that, for any function w(u, v), w(x, y, z) defined by I+Z w(x, y, z) = w(u, v), u = . satisfies…

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Q: Consider the function f(x) = a) What is the slope of the tangent line at the point (1, -2)? What is…

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Q: Question 6 Suppose that f(x) = e(-15ln²(x)), x > 0. Note that, using standard notation, In²(x) =…

A: Suppose that fx=e-15 ln2x, x>0.i To determine the domain of fx.ii To find an expression for…

Q: For a certain drug, the rate of reaction in appropriate units is given by 6 4 + e + t t3 R' (t) =…

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Q: 23. Σ n=1 n - 1 n4"

A: Series is convergent  For detail...go through the solution

Q: (a) For the region enclosed by the following curves y = √x - 1 + 1, y = 0, x = 1, (1) Sketch the…

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Q: 6) y = sin | 0 + in (6 Зл 2 -П NE П Зл 2 41 +1 П L 2 П Зл 2

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Q: Use a table of integrals with forms involving In(u) to find the indefinite integral. (Use C for the…

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Q: Find the limit of the sequence with the given nth term. 5n + 4 5n

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Q: Complete the evaluation of the following integral. 1.00 = 1.0⁰0 XP x+x²p+1 dx = ... XP x(1+x²p) -dx,…

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Q: Calculate: 2²√1-1 1² - dt 1 Round your answer to three decimal places

A: To solve the following integral

Q: Question 4 y" + 4y = 8 cos2x - 8e-2x y(0) = -2 y'(0) = 0

A: The given differential equation is: y''+4y=8cos(2x)-8e-2x ;           y(0)=-2  and   y'(0)=0

Q: Find the area bounded by y=xsinx and the x-axis from x=0 to X=πT.

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Q: If 2 2 10 + 21 35 15 3.7.A find A, B, C, D, and E. 12 B.5.7 3.5.D - 105'

A: Given:      221+435+215=103·7·A+12B·5·7+C3·5·D⇒221+435+215=1021A+1235B+C15D Equating the…

Q: In determining the proper daily dosage for a new drug and the number of days of the medication…

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Q: Find the limit. lim (1+sin(9x)) cot(x) X-0+ The value of the limit is

A: The given limit is; limx-0+ [1+sin(9x)]cot(x) Repost the next question.

Q: f(x) = -5x x+4

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Q: (2) f(x) = 1 + √I. (a) Find f'(1). (b) Find an equation of the line tangent to the graph of f at x =…

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Q: 4) y = sin(0-2) - 3 3r 2 一 J 2 31 2 1 =1 π 2 2 B EN 3 2

A: We have to graph the given function.

Q: Area. Suppose the area of a circle is decreasing at a rate of2m²/sec, the rate of change of the…

A: To find the rate of change of radius.

Q: 4x²-515 3x²+4 -5) 5 y = (₁

A: dxndx=nxn-1,   d(constant)dx=0d dx(ab)=b×dadx-a×dbdxb2given  y=(4x2-53x2+4)5

Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal…

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Q: The dimensions of a box are x, x + 7, and x + 19. Find how fast is the volume of the box increasing…

A: To find the rate at which volume increases.

Q: the surface f(x, y, z) = tan (xyz), find: (1) the gradient of fat (1.1.2); (2) the directional…

A: We find the gradient and directional derivatives .

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

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Q: sin(0.5t) cos (3t)

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Q: Consider the function f(x) a) What is the slope of the tangent line at the point (1,0)? What is the…

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Q: Find a 2x2 matrix A such that A2 = 1

A: As per the instruction, we will be answering the first question. For (1), We need to find a matrix A…

Q: Find the indefinite integral using the substitution x = 2 tan(0). (Use C for the constant of…

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Q: f. ex 0 21-2x dx

A: