5. Find the divergence and curl of the vector field F(x, y, z) = (xy - 2², 2x+cos(yz), 2y² - sinz) at the point (1, -2,0).

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A: To determine the drug usages, doctors estimate a person's body surface area BSA in meters squared…

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: The given data is: The value of a $30,000 over time is modeled by the function v=300000.83t To find:…

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Q: II) Let ƒ be the piecewise function f(x) = 2³+ 6x² + 8x x+2 2¹-2, 1-x-2, " x≤-1, x -2 -1 1 1) Sketch…

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Q: Integral Calculus  (Please write the complete solutions. UPVOTE WILL BE GIVEN! NO LONG EXPLANATION…

A: Volume of solid using shell method

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Q: The number of welfare cases in a city of population p is expected to be W = 0.006p4/3. If the…

A: We will apply the concept of implicit differentiation to solve the problem.

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Q: Find the absolute extreme values of the function on the given interval. f(x) = 9x³ - 108x on [0, 5]

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Q: find the derivative of V(t)=260e^(0.6298t

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A: To find the given sine, cosine and tangent values.

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Q: Consider the points P(0,0,6) and Q(-42,6,0). a. Find PQ and state your answer in two forms: (a,b,c)…

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: lim x-3 2…

A: We have given to find limit  Let ,  y=limx→3x2-2x-3x-3 y= limx→3x2-3x+x-3x-3 y= limx→3xx-3+1x-3x-3…

Q: Convert the point (√3, 1, 0) from Cartesian to spherical coordinates.

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Q: (5) Use the first derivative test to classify the critical numbers of the function s(r) = 2¹-4r³+17.…

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Q: Plz

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Q: work. a) ( i) Find the exact length of the curve 1 <2

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Q: 7. Consider the curve C given by the parametric equations x = cos(0), y = sin(0) cos(0) (a) Sketch…

A: Let's sketch the graph and find tangent of given parametric equations.

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A: answer is in next step.

Q: Select the graph that best matches the function. = -4 cos(x + ose y = O a) TL (-1/2, 4) (3x/2, 4)

A: Given equation:- y=-4cos(x+π/6)  To find:- Sketch the graph of given equation

Q: Suppose we are asked to compute the 100th derivative of x 3 . How can we obtain the answer in a fast…

A: Solve the following

Q: Determine the vertical and horizontal asymptote of the graph of the function. h(x)=x-2/2x2+8x+8

A: We can find the vertical and horizontal asymptotes as below.

Q: lim X118 3x³-2x x²+2x+8

A: We can find the limit as below.

Q: |-2 Evaluate the triple integral ²³ cos (y²) dz dx dy.

A: Here we have to perform triple integration

Q: Find the interval of convergence of the power series .x" /n². 0-1<x<1 0-1<x< 1 0-1≤x≤1 O-1<x< 1

A: The given power series is xn/n2.

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A: answer is in next step. please give a like .

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A: answer is in next step. please give a like !!

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A: The solution is given below

Q: Which of the following is the normal line at the point (-1, 1, 1) to the surface 22 - 2y? - 35 - -4…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question.

Q: first order partial derivatives, i.e. dz/dx, dz/dy: xy³. z = In√√xy Z

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Q: Find the general solution of the differential equation. y(4) + 14y" +49y = 0. NOTE: Use C₁, C2, C3,…

A: Given :y4+14y''+49y=0

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A: Given  function:- g(x) =3x-1  To find:- Graph, Domain, Range and asymptote

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 7 sin(t). The initial…

A: Given: a(t)=7 sin(T) ,Initial velocity v(0)=-6m/s

Q: Find the equation of the tangent line to the graph of the function f(2)=sin(7√) at the point (²,0).…

A: NOTE: Refresh your page if you can't see any equations. . the given point is  so we can take