u = 5i + 4j + k v = i+j+4k w = i+ 8j + 9k

Q: Find the area of the triangle with vertices P(1, 4, –6), Q(0,0, 0) and R(3, 4, 1). NOTE: Enter the e...

A: topic - area of triangle

Q: Find the vector equation of the line that passes through (1,0,-3) and it's parallel to v=2i - 4j + 5...

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Q: Which of the following is equivalent to the surface area of rotation of the function y on the interv...

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Q: find the integration of 1/(sinx*√(sin(2x))) .dx

A: Let's find. 

Q: The line that passes through the point (4, -2,0) and parallel to the vector (1, 2, –3) has symmetric...

A: The solution is given in the next step.

Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as smal...

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Q: 2. If y = xlnx,

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Q: Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). I 5( . sin...

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Q: The graph of a function y = f(x) is shown. At which point(s) are the following statements true? (Sel...

A:     f'(x)=0 at A' and D.At A, f'(x)<0, f''(x)>0At B, f'(x)>0, f''(x)>0At C, f'(x)>0,...

Q: Find the sum of the convergent series. 1 1 (a) 2n 3n n=0 (b) (sin 1)" n=1 9 27 +... 8 (c) 8+6+ + 2 1...

A: a) ∑n=0∞12n-13nb) ∑n=1∞sin 1nc) 8+6+92+278+...... Note:     Multiple parts are given, we are answer ...

Q: 9. If 8000 dollars is invested in a bank account at an interest rate of 6 per cent per year, compoun...

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Q: e dx

A: Definite integration

Q: n 1.3.5. ...· (2n – 1) 5nn! n=1

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Q: A rotating light is located 10 feet from a wall. The light completes one rotation every 4 seconds. F...

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Q: 'R is Region on bounded by Obsegve heit the Region bound 'R in Petaur Coolinates is from 0= T to I B...

A: Here, the given limits of integrations are: x=0, x=y, y=0, y=6 Plot the region bounded by the given ...

Q: 6. у%3D х2 —Зх, y = x

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will us...

A: Answer: The solution is as given below:

Q: (ysin x+xy cos x)dx+(xsin x +1)dy = 0 Ans. xy sin x+y = c

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: Given the series 7" Σ n=1 an+1 find the ratio an (Express numbers in exact form. Use symbolic notati...

A: The value will not be 7 because the question is not asking us to find the value using the ratio test...

Q: The limacon r = 2+ cos 0

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Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

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Q: Explain the difference between the average rate of change and the instantaneous rate of change of a ...

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Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+3k w = i+ 5j + 7k Find the v...

A: volume of the parallelepiped is given by  u→·v→×w→

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

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Q: What is the directional derivative of the function at the point (1, 0) in the direction of the point...

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Q: Determine whether each point lies on the line. x = -3 + t, y = 6t, z = 5 +t (a) (0, 18, 8) O Yes O N...

A: Line in 3D

Q: Assume that the function f is a one-to-one function. (a) If ƒ(6) = 2, find f'(2). Your answer is (b)...

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Q: Find the limit of the sequence an = In(9n +7) – In n. If the limit does not exist, type "Diverges" o...

A: Solution:

Q: Mikasa is designing a new home and wants to put in a Norman window, which is window in the shape of ...

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Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x+ 1) dx a...

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Q: - Is the given point a Solution to this graph? (-1,–2)

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Q: Consider the parallelepiped with adjacent edges u = 4i + 7j + k v = i+j+ 6k w = i+ 4j + 9k Find the ...

A: The adjacent edges of the parallelepipedu=4i+7j+kv=i+j+6kw=i+4j+9k

Q: Let y 522 + 2x + 3. If Aæ = 0.4 at x = 3, use linear approximation to estimate Ay Ay =

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Q: Let a = ci + j and b = 3i + 3j. Find c so that a and b are orthogonal. %3D C = i

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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Q: Find the family of curves orthogonal to the family 4y2 + 3x2 = k when x > 0 and y > 0. (A) 3y2 – 4x2...

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Q: (s + 1)3 s6

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Q: The line passes through the point (-1, 4, -5) and is parallel to v = 2i – j. %3D

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Q: Write the first five terms of the geometric sequence. a1=3, r= 2x

A: If a1 is the first term and r is the common ratio of a geometric sequence then the sequence is given...

Q: s. Evalnate.the following.deuble.integrals.by.converting.bo polar.Coa.r.dinates. C.. Ans: 3.6.

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Q: Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da. ...

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v mak...

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Q: Graph the function, considering the domain, critical points, symmetry, regions where the function is...

A: topic - sketch of a function

Q: 3x°- 4x g(x) = 2 x' +2 Find the derivatives final should have no negative powers. answer

A: We have to determine above derivative 

Q: Q1: Convert the polar function to Cartesian function in the form f(x,y) = 0 ? %3D cos 0 + sin 0 r = ...

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

Q: Given the equation y = cos(coshx)

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Q: Consider the function below. x2 f(x) : x2 - 25

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Q: Solve the following differential equations 3x² d+ x dx2 C- + y = x.

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Q: Which of the following statements is false for functions f(x) and g(x) and constant c? O (c - f(x)) ...

A: Given query is to find which statment is false.

Q: lim f(x, y) = 6, then f(1.9, 2.9) = 6- %3D (x, y) + (2, 3) If f(4, 5) = 3 Vf(4, 5) = (-3, 2) then f(...

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