Find the divergence of the vector field F at the given point. F(x, y, z) = xyzi + xz²j + 3yz²k; (2, 5, 1)

Q: Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is…

A: topic- equations

Q: b). Determine if y =x tan (x) satisfy dy_y x sec²(x) = 0 when y|x=0 = ( | dx

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Q: The guen

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Q: D. Find The or mogonal traectory of the family f aurves y=

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Q: dy

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Q: Find the sum of the convergent series. 6 Σ 9n2 + 3n – 2 n = 1

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Q: Find both first partial derivatives. z = 10y² Vx Oz dz %3D %3D

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Q: Solve for y in the following system of equations: x – y = -7 2x + y = -17 -8 О -1 O -3 O O

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Q: Suppose a certain baseball diamond is a square 90 feet on a side. The pitching rubber is located…

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Q: * Find the 2nd degree Taylor polynomial for the function f (x)=- 1 centered at x = -2.

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Q: Consider the function f(t) = 6 sec (t) – 6t°. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: What isfor the curve given by x = (t – 1)³ and y = vt ? | dx 1 2VE 6VE(t-1)2 3(t-1)2 O Option 4…

A: Using chain rule of differentiation

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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Q: 2. A rocket is launched in the air. Its height (in meters above sea level) as a function of time t…

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Q: Evaluate the Integral using the following values. 8. * dx = 1,020, x dx = 30, dx = 6 (7x 11x +4) dx…

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Q: Determine the explicit formula for the nth term of the sequence written below. Note that the first…

A: To determine the explicit formula for the nth term of the sequence written below.14, 13, 25, 49,…

Q: Find f' (x), if f (x) = 3Vx + 2Vx – 11 %3D

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Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =". b) Find the slope of the line that…

A: We can solve as follows

Q: Problem 2: Given a function 4x-1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

A: we make chart of the values of x and the value of f(x) to see trend toward the limit…

Q: valuate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Find F as a function of x and evaluate It at x = 0, x = 7/6, and x = 1/2. F(x) = sin 0 de %3D F(x) =…

A: We have to find out the integral

Q: Find Taylor series generated by f(x) = 3x5 -x* + 2x3 + x² - 2, at a = -1 %3D |

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Q: Szax -x2 EVALUATE THE FOLLOWING 1. cot x dx 4 sınx + cSC X 2. X sınx cosx dx S2) dx S cec'y dy 5. In…

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Q: Use trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: Use right and left endpoints and the given number of rectangles to find bwo approximations of the…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

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Q: Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

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Q: Use Disk Method only Find the volume of the solid formed by revolving the region bounded by the…

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Q: S2 2 sin?x cos5x dx =?

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Q: THAnUNIVERS Q3) Find the integration: S- (x+1)/x2+2X

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Q: anUNIVE Q3) Find the integration: - (x+1)vx2+2x

A: As you have asked multiple questions so I have answered only first question as per the…

Q: Use Newton's Method to approximate the root of x In r 2 accurate to five decimal places. Begin by…

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Q: 13 of 20 limz→-6 746 a+6 Does not exist 8.

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Q: Find the Taylor series generated by f at x = a. 1 f (x) a =3 4-x

A: Solve the following

Q: chain rule to find given w = x² + 2y² + z² and x = cos (st), y = -2s lnt an 3s2 Vt.

A: We have to find out derivative

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Initial value problem: An initial value problem (IVP) in multivariable calculus is an ordinary…

Q: (E – 4)A^ = -글Vyy-3), 1sys 25 ter a fraction, integer, or exact decimal. Do not approximate.

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Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: x+2 x3 3

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Q: Use differentlals and the graph of f to approximate the following. (Round your answers to three…

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Q: Evaluate the double integral SR Sf(r, 0) dA, and sketch the region 5. S V9 – r² dr d0

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Q: At a seaport, the depth of the water during the day can be found using the equation h = 6.0 cos (…

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Q: What is the domain of y =f"(x) if f(x)=;(x-1)*?

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Q: dy

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Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t…

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Q: Solve the following differential equation y"+2y' +y=x-1 Select one: O a. YG.S= Ce¯+c,e¯2x+x-3 O b.…

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Q: 8. True or False: If lim an = 0, then an converges. %3D n=0 (a) True (b) False

A: Solved below

Q: Q1: Find dy/dx for the following functions:- (1) e – 3* = x sinh y (2) tan-12 = (Inx' + y²)

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