lim x--7+ dx [oo] f. dx [[ f(x)dx g. f(x)dx h. Average value of f on [-4,-1]

Q: Number of equal real root(s) Number of unequal/unique real root(s) Number of imaginary roots Number…

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Q: Use the best method available to find the volume. The region bounded by y=16-x, y = 16 and y=x…

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Q: Above xy plane

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Q: You open a brokerage account and purchases 100 shares of a stock at a price of $20 per share. You…

A: Given that, You open a brokerage account and purchase 100 shares of a stock at a price of $20 per…

Q: Find the coordinate matrix of x in Rn relative to the basis B'. B' = {(4, 3, 3), (−11, 0, 11), (0,…

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Q: Find the gradient vector field Vf of f. - y)² Vf(x, y) = f(x, y) = (x 3 Sketch the gradient vector…

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Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: Here we will find possibilities of each places and then multiply  them to get the total possible…

Q: The Wronskian of the function y₁ = 1, y2 = x and Y₂ = x is

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Q: Question 1 Given the differential equation 3y" − 21y' + 36y = 3e-4² a) Classify the given…

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Q: iv. Does f(x) have any local maximum or minimum values? Find all critical points and establish if…

A: The given function fx=e-15ln2x, x>0. We have to find the relative extreme points, and inflection…

Q: Draw the solid S in the first octant bounded by the plane 12x + 20y + 15z = 60 and the coordinates.…

A: The given equation of the plane 12x+20y+15z=60. The objective is to draw a solid S in the first…

Q: 15. Kitchen's Contracting determines that the marginal cost, in dollars per square foot, of…

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Q: 1. y"+y = f(t), y(0) = 0, y'(0) = 1, f(t) = Solution: Let Y(s) = L{y}, then Applying the initial…

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Q: The following series is divergent: Σ (-1)^ 4 n=1n²+3 Select one: O True O False Give your reasons

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Q: For each of the following series, determine whether the series converges or diverges. (Sum from 1 to…

A: The given series, 1. ∑n=1∞4n+2n3n 2. ∑n=1∞sinn3 3. ∑n=1∞1n2+2n 4. ∑n=1∞n+2-n. We have to check the…

Q: Question 1 Let W be the set of all vectors of the form a) [α] b where -2a +6b-6c = 0 Lc -3 Determine…

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Q: Question 2 enclosed by y² = x² and x² + (y + 2)² = 2. Sketch the region D. Set up the double…

A: It is given that the region D is enclose by the lines y=x, y=-x and the circle x2+y+22=2. We have to…

Q: To find a particular solution for the differential equation 3y"-24 y' +36 y=e10x with the variation…

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Q: I Solve the following differential equations 1. ·[ 24 in 5 + 5 siny] dy :| 3 siny] dy + 3y²dx x² +…

A: Given: 2yln5xx+3+3sinydy+3y2dxx2+3x=0. We have to solve the given differential equation.

Q: Use the Laplace transform to solve the given integral equation. f(t)=te¹. T f(t-T)dt

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Q: Consider the following multivariate function: CT = (v/C(G-1)/G + (1 - VG)¹/4G G(HG-1)/ra Which of…

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Q: You are given a box of matches. The matches are all the same length and you are not allowed to break…

A: Given Data: We need to find the minimum number of matchsticks required to form, six possible pairs…

Q: Subject: Math Topic: Permutation The English word  P A L I N D R O M E   means a word, number,…

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Q: Use Lagrange multipliers to determine all points on the graph of 3x² + 2y² -z = 0 nearest the point…

A: This is a problem from optimization. It will require using Lagrange's multiplier method to find the…

Q: Find the most general antiderivative of the function f(x) = 10 r9

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Q: f(x) = 3 tan x. (a) Solve f(x) = -3. (b) For what values of x is f(x) < -3 on the interval π π…

A: (a) Let, f(x)=3tan(x) Now, f(x)=-3⇒3tanx=-3⇒tanx=-1⇒tanx=-tanπ4⇒tanx=tannπ-π4⇒x=nπ-π4where…

Q: For each of the following series, determine whether the series converges, diverges to +∞, or…

A: Given:  i.∑n=1∞ 1n-2πii.∑n=1∞ n+1n3+2 To check whether the series converges, or diverges.

Q: Linear Algebra  Find A if (2A)^-1 =  [2 4 ]                                [0 1 ] Matrix, Row 1:…

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Q: A farmer wants to find the best time to take her hogs to market. The current price is 84 cents per…

A: The price of hog decreases by 2 cents per week and the weight increases by 5 pounds per week. We…

Q: Find a power series representation for the function. f(x) = n(11 +3)

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Q: Iff, g, and h are f A(x) = (xf)' (x²f)" differentiable functions of x and 8 h (xg)' (xh)' (x²g)"…

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Q: Use the best method available to find the volume. The region bounded by y=16-x, y = 16 and y=x…

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Q: An insurance company claims that for x thousand policies, its monthly revenue in dollars is given by…

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Q: Let A = 15 0 13 2 x = 1 - 12 and b = 3: 15 25 73 Define the linear transformation T: R² → R³ by →…

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Q: A 2 kg weight is attached to a spring with constant k = 8 kg/m and subjected to an external force…

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Q: Which of the following is the even periodic extension of the function f(x)=3x⁹-x²+x³-4, 0<x<L with…

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Q: Show sequence (-1)^n has uncountably many subsequences

A: The given sequence -1n. We have to prove that the sequence has uncountably many subsequences.

Q: The series is divergent: n=1 Select one: O True O False Give your reasons 3n - 5n2 n² + 1

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Q: Solve the equation y' - y = f(t), y(0) = 0 where f(t)= 1- t/2 3 0≤t6 - F(s) = 2 [1-2-8 1-e-6s s²

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Q: y = 4 3 = (x - 1)4 + x 0 2

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Q: In this assessment, we will employ the group problem-solving process. Given an inhomogeneous…

A: We are given the following equation.        utt+utx-2uxx=t,          ------(1) Now, we will be…

Q: 2a₁b₁ Let A ab₂+ a₂b₁ ab3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b2 a3b₂+ a₂b3 b3 +3₁ a2b3 + a3b₂. Expressing 2a3b3 A…

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Q: The region R is sketched below in coordinates coordinates where u = 2xy and v= 2y - x. + -3 -2 3 2 1…

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Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

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Q: Consider a crossbow that fires a bolt straight upward from the ground with an initial velocity of 56…

A: The given initial problem is, dvdt=f(t,v)=-0.04v-9.8, v(0)=56. To Find: (a) First 10 iterations with…

Q: Determine whether the integral is convergent or divergent. Evaluate if it is convergent. f^b a…

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Q: Find a vector that spans the kernel of the following matrix: [ 1 0 2 4 ] [ 0 1 -3 -1 ] [ 3 4 -6 8 ]…

A: LET MATRIX IS A=1  0   2  40  1-3-13  4-6   80-1   3  4 NOW, THE KERNEL OF A DEFINED AS-:…

Q: In P3 with inner product defined by (p, q) = P(x)q(ai), where x₁ = 1,2 = 2, x3 = 3, let p(x) = 5x²…

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Q: If A 0 " P= [13] AP= PA, then what is A¹⁰ ?

A: Given: A=5-230, P=1213 To find: A10.

Q: 2. How many gallons of liquid will a container hold if the diameter of the bottom base is 18 inches…

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