24. Given z = 6x°y-e", calculate or z. A) 12y–x'e" B) 12y-ye" C) 12y-e" ху D) 12x - хуе"

Q: 53-58 A particle is moving with the given data. Find the posi- tion of the particle. 53. v(t) =sin t…

A: We know that if 's' is position of a particle at a particular time 't' then velocity v (t) and…

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Q: On the region x2 + y° 0, y > 0, the function f(x, y) = xy has O a) its absolute maximum of 6/3 and…

A: To find the absolute maximum  and absolute minimum of the function f(x,y) in the given region.

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Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: #5) Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) a. -5…

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Q: x²y' + 2xy – 2y = 0

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Q: Suppose that csc(t) = and that tis in quadrant IV. Find the exact value of cos(t). -3/2 V5 V5 3 -2/3…

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Q: Find the average rate of change of the function from X1 to X2 Function x-Values f(x) = x2 - 4x + 6 X…

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Q: Region is bounded by y=x y=x2 Rotate about x=2. Find the area. Please help

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Q: Question An open-top box is to be made from a 30-inch by 42-inch piece of plastic by removing a…

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Q: 12)List the first five berms of Ehe regence a,=6, aan= 5a -4 as=3 a=? asz?

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Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) do dx6

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Q: Find of the following equations: dx 4 a. y = -3x² + 7x² + ln 8x)"

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Q: Find a parameterization of the portion of the circular cylinder y +z´ = 16 between the planes x = 0…

A: We have to find the parametrization of the cylinder.

Q: :Q1 Solve the second order differential equation Y " – 5Y' + 9Y = 0

A: Given the second order differential equation is y''-5y'+9y=0

Q: Consider the function f (x) = - 3x³/% Which one of the following is true? O a) f is decreasing when…

A: If f'(x) > 0 for all x in an interval I, then f(x) is increasing over I. If f'(x) < 0 for all…

Q: Consider the indefinite integral cos" (6t) sin(6t) dt. The most appropriate substitution to simplify…

A: To find the given indefinite integral.

Q: Question 4 Solve the initial value problem: y'= - 0.03y + 6 y(0) = 50 |3D %3D y(t) = %3D Question 5…

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Q: Problem 3. Sketch the region enclosed by the curves y = 6x, y=4x², and find the area of that region.…

A: We can solve as follows

Q: Question A farmer is constructing three equally-sized pens against the side of a barn for his…

A: We need to find max area.

Q: 3. Find the second-order partial derivative fry (x, y) for the function, f(x,y) = 4x3 – 5x²y – 3y +9…

A: f(x,y)=4x3-5x2y-3y+9Differentiate partially w.r.t xfx(x,y)=12x2-10xy

Q: Find the point on the plane x+ 5y + 5z = 13 closest to the point (1,1,1). The closest point is (O1D-…

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Q: Calculate y" and y". 4х — 7 y(x) %3D (Use symbolic notation and fractions where needed.) y" (x) =…

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Q: The most appropriate substitution to simplify this integral is u = Σ Then du = M dx (fill in the…

A: Given the query is eveluate the integral.

Q: 8. Let g(x) = x - 3x + 1. (a) Find and classify all critical points of g. (b) Find the absolute…

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Q: 3n-2 5. For the sequence an = 7+5n a. Find the limit if it exists. 3n-2 b. Does the series E-1…

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Q: Question Two poles are connected by a wire that is also conneted to the ground between the poles.…

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Q: dy 3. Find of the following equations: dx 7 x = sec 4xy + cos-

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Q: On each interval, determine whether the graph of f(x) is concave up or concave down. From x=1 to…

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Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

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Q: The general solution of the D.E.  ( x + y)dx + (x-y)dy = 0.

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Q: Find the curl of the vector field F. F = (x-y+z)i+ (6x-y+7z)j+ (9x +6y + z)k curl F = i+

A: We have to find the curl F

Q: O In 17 lo 6

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Q: Find all the relative and absolute extrema of the given function on the given domain. (Order your…

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Q: D Find the area of Ene shaded region 2. = sincze)

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Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

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Q: hi

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Q: Calculate the first, second, and third derivatives of = x' e2x (Use symbolic notation and fractions…

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Q: er each series is conditionally convergent, absolute (-1)" n n! c) E n'+1 2 '100"

A: We have to find the nature of the series according to the given information

Q: power line is to be run to an offshore facility as shown in the figure above. The offshore facility…

A: Solution: Cost function C(x) = 50000(8-x) +x2+1(80000)

Q: Determine wheather the series con verges or diverges. S tate which +est of Convergence/divergence…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: 6) The laft,rght, Trapezoidal, midpoint Rule approvimations were used to esbimate aecxlar where f is…

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Q: (a) y = x° arctan(e")

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

Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

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Q: 1. The number of movies released each year in the United States can be estimated by the linear…

A: To solve the following problem

Q: The height, h, in feet of an object launched straight up after t seconds can be represented by h(t)…

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Q: If f(x) : = 4 In(x² + x + 1), at what value of X is f' (x) = 4? O a) -1 O b) 2 O c) o d) None of…

A: This question can be solved using the concept of differentiation of function of function.

Q: Question Find the Taylor polynomial p3(x) for f(æ) = 5x1/3 at x = 3. Provide your answer below:…

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