Convert xy = 7 to an equation in polar coordinates in terms of r and 0. %3D (Express numbers in exact form. Use symbolic notation and fractions where needed.) r = 4 Incorrect

Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. Lj :x = 1 + 7t,…

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Q: Determine if the following statement is true or false. The points P1(12, 8, 9), P2(6, 2, 0), P3(0, –…

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Q: 2. Find the second degree Taylor polynomial of g(x) the value of –9.2. Express the estimated value…

A: The given function is: g(x)=1-3x3=(1-3x)13…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: The objective of the question is evaluate the vector.

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Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: This is a problem related to vector calculation. Based on the general formula we will find the…

Q: Find the area of the triangle with vertices P(1, 3, –3), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

A: Here, PQ=Q-P=0,0,0-1,3,-3=-1,-3,3PR=R-P=4,5,1-1,3,-3=3,2,4

Q: | #(In(x))" 1 dx converges and Let p be a positive number. Determine the values of p for which the…

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Q: Let p(x) = x° + 10x- 36x3 + 36x² – 37x + 26. What is the relationship between p(x) and f(x) = 5x +…

A: The objective of the question is choose the correct option.

Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

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Q: Determine whether the lines Lj and L2 are parallel. L: x = 1– 2t, y = 4 + t, z = 6 – t L2: x = 4 –…

A: L1:x-1-2=y-41 =z-6-1=tdirection ratio: V1=(-2, 1, -1)L2:x-4-6=y+23 =z-7-3=tdirection ratio: V2=(-6,…

Q: 5. y = 4x – x², x = 0 , y = 4 , revolved at y axis -

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Q: Find the distance between the parallel planes – 2x + y+ z = 0 and 6x – 3y – 3z – 13 = 0. NOTE: Enter…

A: -2x+y+z=0 6x-3y-3z-13=0   Divide the second equation by -3, to make the coefficients equal in both…

Q: 4x – 6 2. Let f(x) 1– (2x – 3)3 a. Find the Taylor series representation for f about x = 1.5 that is…

A: Let's find.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: 6dz S(VE – )dt

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Q: Determine whether the planes are parallel, perpendicular, or neither. 2x – 10y – 8z – 1 = 0 (a) | -x…

A: Given problem:- Determine whether the planes are parallel, perpendicular, or neither.   (a) 2x…

Q: Consider the points A(1, –1,4), B(2, –3,2), C(-1, –2, 2), and D(4, 3, –6). (a) Find the volume of…

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Q: Let a = ci + jand b = 6i + 24j. Find c so that a and bare orthogonal. C =

A: Given : a=ci+jb=6i+24ja and b are othogonal   To Find : value of c

Q: Arctan°9x dx =b Arctan 3x+C, i+9x2 what is b?

A: Solving the given integral by substitution.

Q: 2 f-2 xLo if where 14ーx2 if oLx 42 4 -x² if OL x -2

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Q: The minute hand on the backwards clock rotates counter-clockwise 60 times as fast as the hour hand…

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Q: 3. Given that 3e¬4rt + 2se" – 4w²rt = 3. aw (a) Find using implicit differentiation. at (b) Find at…

A: “Since you have posted a multiple question, we will solve first question for you. To get remaining…

Q: x – 2 Let g(x) x + 3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate g(0.2)…

A: Solving

Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

Q: 9 NO ION If g(x) = [ cos t dt, find g '(x). %3D x10 -sin (x) -10x cos (x) COS 1 cos (x°) %3 10x9 cos…

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Q: ) S3x'dx 34- 3/2 3) Ssú dy dt

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: Let the three positive integrar are x, y and z

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: Given :Max f(x, y, z) = xyzConstraints :  x + y + z=24, x-y+z=8To find : x, y and z are…

Q: Show that y = e^2t is a solution of y’’’ - 2y’ - 4y = 0 (where ‘ denotes d/dt), and find the general…

A: We need to solve differential equation and show that y = e^2t is a solution.

Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: sin4x S V cos4x + 1 dx

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Q: Find the directional derivative of f at P in the direction of a. f(г, у, 2) — гу + 2?; P(5, —4, 3);…

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Q: 2y Find the directional derivative of f(x, y, z) = x + z at P(4,4, –3) in the direction from P to…

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Q: Find the remaining trigonometric ratios. 7 csc(0) = Зл < 0 < 2n 2 6 sin(0) cos(0) tan(0) = cot(0)…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: In 2000 the population of the United States was 280 million and the number of vehicles was 200…

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Q: Use any method to determine whether the series converges or diverges. 00 k + 27 k= The series…

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Q: Find an equation of the plane that passes through the point P(-2, –4, 2) and has the vector (-5, 4,…

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Q: Solve using GEMPS X1 + 3x, + 5х; + 7x4 7x1 + 9х2 + 2х3 + 5x, 5х1 + 7x2 + 7х3 + 7x4 — 8 2x1 + 2x2 +…

A: Given system of equation…

Q: Find parametric equations for the line whose vector equation is given (a) (x, y) = (3, –5) + t(1,…

A: A)x, y =3, -5 + t 1, -2x, y =3, -5 + t, -2tx, y =3+t, -5-2t Parametric equations of the line:x= 3 +…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=x2x2+3 That can be rewritten as: f(x)=x2+3-3x2+3=1-3x2+3

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: 4. A- and B- what is A.B. 3. h It

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Q: 11. Let b be a real number with b > 1. Determine whether > 1 converges or diverges. As part 1+ bk…

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Q: Determine the curl of the vector fields in Practice Exercise 3.6 and evaluate them at the specified…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Find an equation of the plane through (-8, 6, - 6) that is perpendicular to the planes 9x - y + z =…

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