Find the divergence of the vector field F = < 2z cos(x), 4z sin(x), 5z> div F = 110 Calculator

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Q: Find the first partial derivatives with respect to x, y, and z. w = x7yz2 + xy − 4yz

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Q: n=1 (√n+12-√n+11) A formula for the kth term of the sequence of partial sums is Sk= (Type an exact…

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Q: Sketch the graph of y = sin(x) in the interval -720° < x < 720°.

A: To plot the graph of sin(x) over [-720o,720o].

Q: Consider the following. 32 [²³ 0 4 2x + 1 dx

A: Given,         ∫03242x+1dx

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 6 x = 5…

A: Given: x=5 sint ; y=2 costWe have to find the slope of the tangent line, then we have to find the…

Q: find derivative of f(x) O none of these answers ○/(x² + 1) (2x) O O 4x 33/(x²+1) 2x 3 (x²+1) = √√(x²…

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Q: Consider the function f(x) = 2x^3 - 3x. a) Find f'(x) using the definition of the derivative.

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Q: 2. drde 3. dzdydx

A: we are allow to solve first question only. If you need rest of solution then please upload them…

Q: Find the length of the curve. x = 3 cos t, y = 3 sin t, 0 st sm О 9л Ол бл О Зл

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Q: 21. dy dx = X xy + y Hint: Let u = x2.

A: Question 21:We have to solve the differential equation:dydx=xx2y+y3

Q: 14. Find g'(2), given f(8) = -4, f'(8) = 1, and f (x³) (a) 1.5 (b) 1 (c) -1.5 (d) -7 (e) 7 g(x) = x

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Q: Consider the following. 6 x (x - 1) Let u = 5x³ - 1. Find du. du = dx dx Indicate how the limits of…

A: Given integral ∫01x2( 5x3 - 1 )4dx

Q: Find the value of dy/dx2 at the point defined by the given value of t. x=ty = St, t = 3 잉 0 굶 눕

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Q: Find derivative of f(x Onone of these (6x²-x)/(2x³ -x) (2x³ -x)/(6x²-1) O (6x² -1)/(2x³ -x)

A: we shall use thatddxlnx=1x and ddxf(g(x))=f'(g(x))*g'(x)

Q: At 1 p.m., snail A is 9 ft west of snail B. Snail A moves north at 2 ft/hr and snail B moves south…

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Q: 4 −3x³ +2x² +x+1 X S 3 x² + 2x dx

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Q: Find the absolute maximum and minimum of f(x) = x² + 218 on the interval [³].

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Q: Find an equation for the tangent line to the curve (x^2/9)+(y^2/36) = 1 at the point (−1, 4√2).

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Q: A company charting its profits notices that the relationship between the number of units sold, x,…

A: A company charting its profits notices that the relationship between the number  of units sold, x,…

Q: equations, eliminate the parameter and identify the shape of the curve. Sketch the curve and…

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Q: In the triangle shown we can find the angle as follows. (a) (b) (c) 8 sin 0 = cos 8 = tan-1 Need…

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Q: Find the maximum for the profit function, P = 2x+10y subject to the following constraints. 3x - 3y >…

A: To find out the maximum profit.

Q: (a) Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate In(1.31). L(x) = In…

A: Linear approximation at x=a of function fxLx≈fa+f'ax-a

Q: f(t)dt, where fis the function whose graph is shown. Use it to evaluate the following: (a) g(3) =…

A: Note:- Since you asked multiple subparts , according to our policy we can solve first three subparts…

Q: The length, width w, and height h of a box change with time. At a certain instant the dimensions are…

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Q: Find derivative of the g(x) = log₂ (x+1) O none of these answers O (x+1) In 2 1 (x+1) In 2 In 2…

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Q: Given the following matrices, find 2B - A. 8 1 - [3-49] 5 A = [1 0 -37 6-12 and B=

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) 63 =…

A: arctan(x) = csc-11+x2x

Q: Find the profit function for the given marginal profit and initial condition P(x) Marginal Profit dP…

A: dPdx=-20x+250 ,P4=$610

Q: Find the critical points of the function x3 3 Use a comma to separate multiple critical points.…

A: To find the critical points of the following function. fx=x33-3x22-18x+3

Q: Find derivative of y = 52x-5 O 52x-5 (2x - 5) ln 5 O 52x-5 In 5 O No answer text provided. O 52x-5…

A: given,  y=52x-5

Q: A polar equation is given. 10 3-2 cos(8) FM (a) Find the eccentricity. Use this information to…

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Q: Consider the vector field F = Evaluate r(t) = t²i+t³j, 0≤ t ≤ 2 LE F-dr along the curve C:

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Q: The linear approximation to f(x) = √49 + 2x at x = () is y = A + Bx where A is is and where B

A: fx=49+2x ; x=0

Q: 2x² Find the absolute maximum and absolute minimum of the function f(x) = = 5 Provide your answer…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y v=√1+ e*,…

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Q: Find the inverse of the matrix

A: Given matrix: 303-30-24-30 We need to calculate its inverse.

Q: 4)Evaluate 2 In x 7 x² dx

A: The given integral ∫2∞ln xx7dx. We have to solve this integration.

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations y =…

A: This is question related to area of integration which is application of definite integral.

Q: 5. Calculate lim f(x), where x+1+ f(x) = = its 12.05 (c)-2 (d) 2 (e) does not exist 5A 5B if x 1 x-1…

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Q: Find the volume of the solid above the rose curve - 3 cos(20) but below the sphere centered at the…

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Q: ted to follow the model C = 60+ 0.1t2, where t is the t

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Q: The supply function for a product is given by p = q +340, and the demand is given by p + q = 450.…

A: p=q2+340 .......(i) p+q=450 p=450-q ........(ii)

Q: A model for consumers' response to advertising is given by f(x) = 2000 + 500 In (x), x>1 Where N(x)…

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Q: Find the direction in which the maximum rate of change occurs for the function 2x sin(xy) at the…

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Q: What is the common ratio of the geometric sequence? tn 40 35 30 25 20 15 10 5 Or=2 Or=1/12 O r = -20…

A: Terms of Geometric sequence,

Q: y=5x².Inx

A: Given data:- y=5x2.lnx

Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ −…

A: According to question,Given Function,px = 2x3-3x2-36x+5

Q: Consider the following vector field. F(x, y, z) = (3ex sin(y), 5ex sin(z), 7e² sin(x)) (a) Find the…

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