Answer the following question Find the 12th derivative of the function ()65

Q: Consider the series Σ (x – 8)4 5- 2! (x – 8)6 25 · 3! (x – 8)8 125 · 4! an = (x – 8)² + +... n=no…

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Q: Problem 2. Which gives the inverse transforms of the given s-domain function? s2-s3+3/s3(s+5)(s-2)

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Q: 4. y = Vx, x = 0 , y = 2 , revolved at y axis %3D

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Q: Find the area of the triangle with vertices P(1,5, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

A: Here, PQ=Q-P=-1,-5,6PR=R-P=3-1,4-5,1-(-6)=2,-1,7

Q: 1. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: The Lagrange multipliers method is a strategy for finding local maxima or minima of a function using…

Q: 3. y = V x - 1. х — 5. у — 0. теvolved at u aris

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Q: = [] Given: h (t) Find h'(t). t² +2

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

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Q: If sin(x) = 1/3 and sec(y) = 5/4, where x and y lie between 0 and x/2, evaluate the expression using…

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Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

A: Given problem:-   Volume of Region bounded by y = x², x=0 and y=15, rotated about the y-axis

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

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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: OQUESTION 14 Find the area enclosed by the given curves. y = 4 - x 2, y = x +2,x= - 2 and x = 2 O…

A: Given query is to find the area enclosed.

Q: Use the method of partial fraction decomposition to perform the required integration. 56x + 144 dx 3…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

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Q: Now, let f"(x) =0 and solve for x. Remember that f"(x) = - sin is a periodic function, and thus…

A: use the equation above for solving the equation for x.

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

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

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Q: у" + 6у' + 10у %3D 1, У (0) %3D —1, y'(0) = 2

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Q: Question 2 Given: y = (sin x) , determine y'/y. O a (sin a)" [cot a+ (1+ ln x) (In sin æ)] (E) None…

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Q: The second derivative f" is defined on the closed interval [0, 8n]. Now test f" in the intervals (0,…

A: use the definition of concave upward and concave  downward .

Q: af when r = 2, t =- 1 of the function ar 4. Use the Chain Rule to find- f(x, y, z) = e3xy² cos 2xyz…

A: This is a problem related to chain rule for differentiation. Based on the formula we will find out…

Q: e dxdy is e dydx. The reverse order of False O True O

A: The graph is shown below:

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

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Q: X+3 Evalmating dx 5-4メ-メ2

A: We have to find the integral of given function.

Q: Let S be the surface given by the equation x^3+y^3-xz=5. What is the equation of the tangent plane…

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

A: We need to find directional derivative.

Q: Let a = ci + j and b = 12i + 16j. Find c so that the angle between a and bis- Round your answers to…

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

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Q: (2x – 3y +1)dx – (3x + 2y – 4)dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

A: Given query is to fins equation of the line.

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: 2. 52 Calculate the determinant for 2 3

A: As we know that, If the given matrix is A=abcdefghi then the determinant of the matrix is:…

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

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Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, P(4,…

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Q: Two​ neighbors, Wilma and​ Betty, each have a swimming pool. Both​ Wilma's and​ Betty's pools hold…

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Q: Ray OB is the bisector of ∠AOC. The measure of ∠AOC = 7x+2 degrees and ∠ COB = 5x – 8…

A: A detailed solution is given below

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: Part I x² -9 1. lim х>з х-3

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Q: I +1 x2 – 1 3 at x = 4 1. f(x) = 3x2 + 2x +1 at x = -2 5. h(æ) : at x = 1 2. f(x) = 9x - 1 at a = 1…

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Q: 3 4. f(x) = x - 5 A. x = -1 B. x = 2

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+6j. NOTE: Enter the exact answers…

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Q: Determine the general equation of the plane Ω passing through the point P(1,−4,−5) and parallel to…

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Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: Given that the ice-cream factory makes two flavors creamy vanilla and Continental mocha. It is given…

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: Either prove the following statement is true or provide an example to illustrate it is not true: if…

A: This question can be solved using the concept of even function.