Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) Mx) = x7-x intercept (x, y) - ) (smaller x-value) (x, y) - ( ) (larger x-value) relative minimum (x, y) - (| relative maximum (x, y) - point of inflection (х, у) - Find the equation of the asymptote. Use a graphing utility to verify your results. 10 10 8 6 4 -8 -6 -4 -2 -8 -6 -4 -2 y y 10 10 8 8 6 4 6 4 6.

Q: (-1)" Given: In(1+ x) = > if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

A: We can solve this as follows:

Q: Let a = ci +jand b = 12i + 9j. Find cso that the angle between a and bis 6' Round your answers to…

A: Solve by dot product

Q: Consider the series Σ (ӕ — аn 3 (х — 8)2 + - 8)4 (x – 8)6 + 25 - 3! (х — 8)8 125 · 4! +... 5- 2!…

A: Here, the given series is: ∑n=n0∞an=(x-8)2+(x-8)45×2!+(x-8)625×3!+(x-8)8125×4!+...…

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

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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: I. Solve the following problems. af 1. Find af and of the function f(x, y) = arccot (-) + In ( ду…

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Q: sin4x dx V cos4x + 1 COS4X

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Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

A: Find your answer below

Q: 5 In(3x) dx 5ln (3x) +C 12. 4

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Q: The point (x, y, z) = (-1, –1, –1) under rectangular coordinates in R³ can be described through…

A: Let's find.

Q: y² = x y = x³

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

A: fx = x3-4x2x+22 ; f'x = xx+8x-2x+23; f''x = 87x-4x+24

Q: Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three…

A: Let x, y and z be the three positive number so,  sum of number   x+y+z=18

Q: dx =+c 6. 2.

A: We can solve the given problem as follows:

Q: 1 Using u = 1 + 2x6, then the integral | x°(1+ 2x6)5 dx becomes 12 us du- This evaluates as 5+1 1 12…

A: Follow next step

Q: Find the vector component of v = (4, -1,7) along b = (1, 2, –2) and the vector component of v…

A: The vectors v=4,-1,7 and b=1,2,-2

Q: Given that Vf(10, –2) = 8i – 4j, find the directional derivative of the function f at the point (10,…

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Q: 6. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: 9. Evaluate the following definite integrals. S" V5x – 1 dx 10 а. b. J sin 2x dx

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Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; P(3,4,–4); a…

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

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A: To determine whether the given function is continuous and differentiable at the given points or not.

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

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Q: 3. x-- 2

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

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Q: Find the gradient of the function at the given point. In(x2 – y) – 9, (3, 8) z = Vz(3, 8) =

A: use partial derivative for finding the gradient.

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

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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: Evaluate. (Be sure to check by differentiating!) 1 dx, x# - 3 + 3x 1 dx = 9+ 3x (Type an exact…

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Q: 4x2 8(7x – 4) x(x+ 8)(x – 2) (x + 2)³ - f(r) = with f'(x) = and f"(x) = %3D (x + 2)2 (x + 2)4 a.…

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Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: To use Lagrange multipliers to find the indicated exrema, assuming that x and y are…

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Q: Determine whether the alternating series converges. 3ln k E(- 1)*: k k=3 The series diverges. The…

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Q: To test this series for convergence 4" - 1 1 You could use the Limit Comparison Test, comparing it…

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Q: = -14 – 5t = -5t y = 21 + 3t = 5t – 43 Given the skew lines l1 : Y = 9 – t and l2 : = 2t – 7 (a)…

A: Since, you have ask a question with multiple sup-parts, as per company guidelines we will solve the…

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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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: 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: If F(u,v) = (u-v) / (u+v), Find r(금금)+ F(x)

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Q: 3. f(x) = A. x = 0 B. x = 1

A: We know that a function is continuous at x=a if limx→a-f(x)=limx→a+f(x) =f(a) The function f is…

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Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

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Q: Answer the following questions. Show your complete solution. 1 Find the general form of the equation…

A: As per the company guidelines we are supposed to answer only first question.Kindly repost the other…