3. [For students with ID # ending in 4 or 5.] Through the point (4, 2, -5) and perpendicular to the plane y + 3x – 6z = 8.

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A: We have to expand cos2x as a series of ascending power of x. Recall that:           cos2x =2cos2x -1…

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Q: QUESTION 12 Solve the problem. Suppose you wish to prove the statement that follows using…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

A: Given query is to find the disjoint set.

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Q: Question Determine where the local maxima and minima occur on the graph given. 12 10- 8- -12 -10 -2…

A: From the given graph we can see that there are two local maxima.

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Q: 4y 1. Find all values of x such 49. Let F(x, y) = 2xy + 3x that F(x, x) = 0. %3D I

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Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…

A: We will find the volume of the parallelepiped by using the given vectors.

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A: To find the location at t=3 of a particular whose path satisfies.

Q: 5. Use L'Hospital's rule to compute the following limits (a) lim a In(x) (b) lim sin(z) (c) lim…

A: Here are the solutions: We will use L'Hospital rule and differentiate the numerator and denominator…

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Q: 11 f(x,y) 3x-7y+2, R is the rectangle with opposite car- ners (-1,0) and (1,3).

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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Q: Sz IF A-(-2 4) 2 3-( (-24リ Cュ Prove! CA *B) *C = AK( B+C)

A: We want to show the above equation is true.

Q: Solve. y' = 7y-2; y = 3 when x=2 y = (Туре an exact answer, using radicals as needed.)

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Q: MyCalStateLA x Activity 10.6 x O Exploring Dir x+ Ohttps://calstatela.instruct... Let f(x, y, z) at…

A: Given query is to find direction derivative.

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A: The path r(t)=sin(3t),cos(6t),cos(3t) at t=π2

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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A: To find the following derivative of the given function.d2dx2x arctan x

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A: We have to use simple derivative of the function to solve the problem

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Q: rational functions solve suppose it costs C dollars ( in billions) to build X miles of a wall…

A: A)C(x)=0.425 x1954-xwhere, x is the miles of the wall.cost to build 1000 miles of…

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Q: x20 is continuous at x-0, then a = a+sinx If the function f(x): 2+2acosx x<0 a. 1 b. -1 O c. 2 d. -2

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Q: Consider the triangle shown in the figure. Let A = 11 and B = 5 (in feet) and the angle 1 = radians.…

A: Consider the triangle shown in the figure. Let A=11, B=5 in feet and the angle t=π4 radians. To…

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Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.