Find the gradient vector field (F(x, y, z)) of f(x, y, z) = x²y³z¹. F(x, y, z) =

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Q: Write the following first-order differential equations in standard form. dy dx = yx(x + 2)

A: To write the following first-order differential equation in standard form. dydx=yxx+2

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Q: Book Problem 36 A particle is moving with acceleration a(t) = 24t + 18. its position at time t = 0…

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Q: Find the area between f(x)=x2−25 and the​ x-axis from x=0 to x=6.

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Q: In a free-fall experiment, an object is dropped from a height of h = 576 feet. A camera on the…

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Q: Let r(t) =< -5 -7t+5' -t 3t² -3t² +4' -t3-5 V

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Q: A graphing calculator is recommended. A 60-gallon barrel is filled completely with pure water. Salt…

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Q: The graph of f(x,y)=¹+¹+63xy has xy One local maximum point and one local minimum point. O One local…

A: Write the given data and find the first derivative÷

Q: Differentiate the following with respect to x using appropriate rule  1) (2-5x)^ 3/2 2) 2x^3 cos…

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Q: 2. Find the limit of the sequence an = (1 + 3n 2) ³″. n

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Q: If f(x,y)=xey²/2+204x²y³, then a5f 0х2дуз at (1,1) is equal to

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Q: Consider the graph below of the function f(x):  Using the graph, what is the value of fˆ-1(2)

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Q: The amount of light intensity on a point is give by the function I(t): the time in seconds and t =…

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Q: 4. Let f (x)= x³ + 3x²-9x-7. (a) Use calculus to find all critical numbers for the function f. (b)…

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Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

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Q: what is derivative of y¹ ? note: y is funcion of x, like u(x) 0 1 y' noe of the above,

A: We need to find the derivative of y1

Q: Compute the given integral. -4x - 1 S x 2 - dx +C

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Q: Let h(x) = -4+ex +1.

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Q: Given the differential equation y' = and y (e) = 1, what is C? Leave C = out of your answer. For…

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Q: 7) m/C= 110°, b=35 mi, c = 38 mi

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Q: A piece of cardboard measuring 10 inches by 14 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 10 inches by 14 inches is formed into an open-top box by cutting…

Q: Let A and B be sets. Show that (A × B) ∩ (B × A) = (A ∩ B) × (A ∩ B).

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Q: If a ball is thrown into the air with a velocity of 57 ft/sec, its height in feet after t seconds is…

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Q: 3. Find the antiderivative using the indicated substitution. So √4+2 dt, u = 4+2t² du = Performing…

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Q: 3. Let C be the triangle with vertices (0, 0), (1, 0), and (0, 3) oriented clockwise. Calculate the…

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Q: Find the payment made by the ordinary annuity with the given present value. $93,030; monthly…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x² + 6 and y…

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Q: A particle is released as part of an experiment. Its speed t seconds after release is given by v(t)…

A: The speed after t second is given by:vt=-0.2t2+10tWe need to find:a How much the particle travels…

Q: Find the payment necessary to amortize a 8% loan of $2400 compounded quarterly, with 18 quarterly…

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Q: answer #2

A: gx=ln4-x TheTyalor polynomial of fourth order at…

Q: x-4 x-4x²-x-12 Evaluate lim A. Undefined B. 0 C. Infinity D. 177

A: According to guidelines solution of the question first one, you have to repost the other

Q: What lump sum do parents need to deposit in an account earning 15%, compounded monthly, so that it…

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Q: Find the shaded area: y=x² -2 -1 O to. 8/3 O b. 5/3 O c. 6/3 d. 7/3 3 2 -1+ 2 3

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Q: Find the equation of the tangent line to g(x) = (2x 3 + 4 tan x) / (5x 6 + 7 cos x ) at the point…

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Q: 1. Find the limit of the sequence {√3, √√3+√√3, √√3+ √√3 + √3,...}.

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Q: The Vertical Asymptotes of a rational function are defined by the ratio of the zeros of the…

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Q: *24 4 1 [ ²1 [ "^ ex² dx Jo Jy/6 Find dx dy. e+2

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Q: After drinking a cup of coffee containing 100 mg of caffeine, caffeine leaves the body at a rate of…

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

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Q: Find the volume V of the solid obtained by rotating the region enclosed by the curves x = 6y^2 and x…

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Q: itz Benjamin buys a car costing $11800. He agrees to ake payments at the end of each monthly period…

A: Principal, P=$11800 Interest rate, i=4.8% Compounding frequency, m=12 Time, t=6 years.

Q: [[ Sydv E and z = 15 - 2y Find y dV, where E is the solid bounded by the parabolic cylinder z = x²…

A: The solid is bounded by parabolic curves and planes z=x2y=0z=15-2y We have at y=0, z=15 Thus,…

Q: For the following vector-valued function, calculate the limit. lim, 0 sin z

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Q: You own a hamburger franchise and are planning to shut down operations for the day, but you are left…

A: Let x be number of plane burgersLet y be number of double cheeseburgersLet z be number of regular…

Q: Find the integral. (9x² - 6x + 2) dx (9x² - 6x + 2) dx = 3x³ 3x² + 2x www

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Q: A building contractor gives a $13,000 promissory note to a plumber who has loaned him $13,000. The…

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Q: Evaluate. √26 S 6x²√1+x² dx √26 S 6x³√/1+x² dx = 0 (Type an exact answer.)

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