3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z = 2 and x + y – 8z = 4. %3|

Q: 2. y = x2, y = x³ , revolved at y axis

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Q: Evaluate the integral using Integration by Parts. 8x sin(x) dx (Use symbolic notation and fractions…

A: Please see the answer below.

Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

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Q: 17. Obtain the family of solutions and particular solution of the homogeneous equation, y?dx + (x2 +…

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Q: 1. Given: - 4r? with f'(x) = (x+2)2 (r+8)(r - 2) (x+2)3 8(7r-4) (r+2)4 f(r) = and f"(x) = %3D %3D…

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Q: 16. Determine if 4x – 3xy + yʻ is homogeneous or not. If it is homogeneous, state the degree of the…

A: Given : f(x,y)=4x2-3xy+y2   To Check : f(x,y) is homogenous or not and it's degree, if it is…

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A: Solving the given integral by substitution.

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Q: Determine whether the function is​ one-to-one. If it​ is, find a formula for its inverse.…

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Q: Determine whether the series converges. Σ Vk+ 3 k=1 The series converges. The series diverges.

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: The graph of f' (x) is given below. On what interval(s) is the value of f(x) increasing? Glve your…

A: Graph of the derivative function is given, we have to find the increasing interval of f(x)

Q: 7. Х Arcsec (2х) dx 3 (4x2 – 1)7

A: The objective of the question is evaluate the indefinite integral.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the ezact answers in terms of i.j…

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Q: Area = 2 Area = 1. Area = 3 3 5 7 Area = 7 Graph of f' The figure above shows the graph of f', the…

A: Note : As per our guidelines we are supposed to answer only three subparts if there are multiple…

Q: 5. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem…

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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 parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

A: This question is based on finding an equation of line as given that line is parallel to given line…

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 the…

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Q: 2. Evaluate the following limits. /x²+3 d. lim X-0- X

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Q: Use the triple integral to find the volume of a solid G enclosed by surfaces x = y*2 and planes…

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Q: Find P,(1,200, 1,800) and P,(1,200, 1,800), and interpret the results.

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Q: Show that the lines L1 : x = 4 – t, y = 2t, z = 5+t and L2 : x = 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=4-t, y=2t, z=5+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: Consicler the functiun belou 2. fexy)=x°ewy %3D a) evaluate f(8,0) b) fincd the clonain of F ) Find…

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Q: Jose must choose between two job offers. The first job pays $62,000 for the first year. Each year…

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Q: Show that the lines L1 : x = 2 – t, y = 2t, z = 5+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

A:

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

A: First we find partial derivative with respect to x and y.

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

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Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t y = 7, x = 7 – t, z = 6…

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Q: Evaluate the given Mtegral y ehanging f2x°ydĂ, uneve O is the top half of the disk the polar…

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Q: FIND HE WORK DONE IN LIFTING Za lo00 lb OF COAL FROM À MINE (500ft. DEEP BY NEANS OF A CABLE WIIGH…

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Q: Let a = ci + jand b = 9i + 54j. Find c so that a and b are orthogonal. c = i

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Q: Find an equation of the plane that passes through the points (3, 3, 5), 2, 2, —1), аnd ( —5, 3, 4).…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 7/3 and whose components have…

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Q: r1–z p1 y2 Try to change the order of integration and rewrite the above integral as equivalent…

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Q: p³ + x² – 4 4x = x +1+ - 1. Consider the function f(x) Note that - 4° x² – 4 x2 (x2 – 12) (т? — 4)2…

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Q: 2. Evaluate the following limits. x+ 1, if x 1 c. lim f(x) a. lim f(x) b. lim f(x) x→1+ x→1- X→1

A: Explained below

Q: Let g be a function that is defined for all x, x # 2, such that g(3) = 4 and the derivative of g is…

A: Here, g(3)=4 & g'(x)=x2-16x-2, x≠2

Q: Use spherical coordinates to show that the volume of a sphere of radius R is V = *nR³.

A: Given the radius of sphere is =R  Then equation  of sphere is                      X2 + Y2 + Z2 = R2…

Q: What is the area of the region bounded by the graph of r2 16 cos 20? (Choose all applicable…

A: The curve r2=16 cos 2θ

Q: 13. dx = + C 2 6.

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Q: Find the directiunal deavative of the function at the given pornt in the direction Lof the rectorv…

A: Given problem:- Find the directional derivative of the function at the given point in the direction…

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Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

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Q: 4. By using Taylor series, show that e* =cosx+i.sin x.

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as…

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Q: Consider the function f(x, y) = 2x² – 7y² subject to the condition x? + y = 25. Use Lagrange…

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Q: Culculate the iterated întegreat T/2

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Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.

Q: Test the series below for convergence using the Ratio Test. Σ 0.7 n=1 The limit of the ratio test…

A: