Find V. (V x F) if F(x, y, z) = 4 sin xi + 7 cos(8x – 9y)j+ 9zk. V·(V × F)

Q: 3. Use chain rule to find given w = Vx2 +2y2 + z² and a cos (st), y = -2s In t ane 2 = 3s?Vt. 3s2Vt.

A: Follow the procedure given below.

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

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Q: 4. The voltage signal from a standard wall socket can be described by the equation V (t) = 325…

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Q: dr2, dri r(t) - r2(t)] = r1(t) - r2(t) and dt dt dt dro dr.

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Q: B. Find the area bounded by the curves, the axis and the given values of y. Sketch the graph. 3. x-…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: The following series is divergent: (8")(10") (7")(9")+1' n=1 Select one: O True O False

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Q: 6. What is the general solution of the following differential a²y.cdy d²y equation -52…

A: We need to find general solution.

Q: A famous leaning tower was originally 184.5 feet high. At a distance of 130 feet from the base of…

A: Using sine rule, all parameters are evaluated.

Q: Find V. (V × F), if F(x, y, z) = 3e²*i+9xe*j – 4ev*k V· (V × F) =|

A: Use the curl and divergence for the F.

Q: Find div F and curl F if F(x, Y, z) = 11y°z°i – 3x*z°j – 6xy°k. - div F= curl F=

A: The given vector function is: F(x,y,z)=11y6z5i-3x4z6j-6xy3k Let, F(x,y,z)=F1i+F2j+F3k then…

Q: Represent the plane curve by a vector-valued function. x2 + y2 = 16 r(t)

A: The given plane curve is   x2+y2 =16.  We have to represent the curve by a vector valued function…

Q: +4x –1 dx x' - x 2.

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: The displacement, s in feet, of a particle moving in a straight line is given by s = 5t2 – 6t + 14,…

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Q: 15 15-2 0

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Q: A dietitian at a hospital once a patient to have a meal that is 64 g of protein, 44 g of…

A: We need to find How many servings of each food should be given to the patient.

Q: Find the domain of r(t) and the value of r(te). NOTE: Reund your anser to two decimal places uhen…

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Q: 7. Į V1- xdx 8. ſ e2x dx

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We want to find the absolute extremum of the given function on the interval [-2,2]

Q: d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [ri(t) × r2(t)] first by…

A: Given that     r1(t) = cos(t)i + sin(t)j + 8tk    r2(t) = 7i + tk

Q: 1 Find the Fourier series for 1, if -п <х <0 { { -1, f (x) = -1, if 0 < x< n

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Q: Find V · (V × F), if F(x, y, z) = 3e*i+ 3xe"j – 8evk. - V ·(V × F)

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Q: he radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

A: Area of the circle , A =πr2, where 'r' is the radius of the circle.

Q: a) Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 RY convergent or divergent.

A: Since you have posted multiple questions which are not interlinked i can do first question as per…

Q: 7. Find the linear approximation near (2, 0) of f(x, y) = 3x e¯3ªy.

A: To find the linear approximation for the given function.

Q: ||r(t) × r"(t)|| ||r(t)||³ Use the formula k(t) = to find k(t). r(t) = 4 cos(7t)i + 4 sin(7t)j + 3tk…

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Q: dg 1+sin 2x Find of g(x) dx 2x-tan 2x

A: To find the derivative of given function.

Q: ㅇ z"+ 35 to

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Q: A- Find Tylor series generated by f(x) = 2* at 1.

A: The given function fx=2x at a=1

Q: xp - )s ɛ

A: As per the guidelines I can solve only first question

Q: X+3 24) Find the integration by using: J: dx 2x3-8X

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

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Q: Find [r(t) · u(t)] and [r(t) × u(t)] in two different ways. dt dt r(t) = ti + 8t2j + t³k, _u(t) =…

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Q: sec(0) = cot(0) = (b) y (1, -1) sin(0) = cos(0) = tan(0) = csc(0) = sec(0) = cot(0) =

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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: Evaluate the line integral, where C is the given curve. xy ds, C: x = t2, y = 2t, 0sts 3

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Q: Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall…

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Q: The graph of the function f (2) = 2 arcsin(x – 4) +1, is best pictured by:

A: We will put the x values and get the f(x) values.

Q: Find the distance from A to C across the gorge illustrated in the figure. 130 ft The distance from A…

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Q: 1 5. Let f(x, y) = x² 6y3 - In y ), for y > 0. af of f &²ƒ Əx' dy' Əx²' dy²' Determine the partial…

A: Given: fx,y=x216y3-lny   As we know that; The Power law: ddxxn=nxn-1 And ddxlnx=1x

Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vik NOTE: Enter your answer in terms of i, j, and k.…

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Q: Use Disk Method only Find the volumes of the solids generated by revolving the regions bounded by…

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Q: 11. Rules of Definite Integrals: If f(x)dx =12, S" S(x)dx = 6, and "S(x)dx= 4 , find the following:…

A: We need to perform integral.

Q: dy then dx If y = In(x/x² + 1), 2x2 + 1 C) x/x² + 1 2a2 +1 D) x(x² + 1) x² + x +1 E) x(x² + 1) 1 A)…

A: Find the derivative

Q: 1. 3 de

A: Given integral,         ∫3 dx

Q: 3 to dy 2 +Sinx COSX

A: Given query is to find the solution of the differential equation.

Q: Let A + 0 and ACB. Show that NB CNA.

A: Given :A≠∅A ⊆ B

Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x² such that f(0)…

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Q: dzy What is dx2 for the curve given by x = t2 and y = t3?

A: Our Aim is to find d2ydx2 for the curve given by x=t2 and y=t3

Q: r(t) = 4 cos(7t)i+4sin(7t)j+3tk

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Q: Given the equation z + 10z°y – 8y² + z* = 4 az Use implicit differentiation to find dz

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