Find a basis for the indicated subspace of R³. The line of intersection of the planes with equations x-6y + 8z = 0 and y = z. A basis for the indicated subspace of R³ is (Use a comma to separate vectors as needed.)

Q: Consider the series Σ n=1 If it does not exist, type "DNE". Answer: L = (n+1)4²n+1 Evaluate the the…

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Q: Find the limit or explain why the limit does not exist: 1 (a) lim (+-) 1+t

A: As you post multiple questions according to guidelines I only solve the first problem please post…

Q: For r(t)=2t2-1, t+1, 3t), find T and N.

A: The equation of the curve is rt=2t2-1, t+1, 3t We have to find T and N.

Q: 10 of A group of people were polled about pineapples, cherries, and strawberries. 100 of them like…

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A: The objective is to find the x-coordinates of the inflection points from the given graph.

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Q: Analyzing critical points Identify the critical points of the following functions. Then determine…

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Q: 7. lim /* √x² + 8 dz h→0

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Q: Let the nth term of the series be (−1)” (n+1)* then the series is n a) convergent b) divergent c)…

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Q: Let f: R4 → R and c(t): R → R4. Suppose Vf(1, 1, ñ, e6) = (0, 1, 2, −7), c(ñ) = (1, 1, ñ, eб), and…

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Q: Jack has 2 roses and 7 tulips. Write 2 equivalent ratios of roses to tulips.     Part A Write an…

A: Jack has 2 roses and 7 tulips. Write 2 equivalent ratios of roses to tulips.  Part A Write an…

Q: Consider the system of differential equations For this system, the smaller eigenvalue is -4.1…

A: Given  the system of differential equation,             dxdt = -1.6 x +1ydydt =    1.25 x-3.6y ⇒…

Q: roblem #1: The polar equation ²(7 cos²(0)+5) (A) a hyperbola (B) a parabola (C) a circle with center…

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Q: Use Cauchy-Riemann equatrens to determine if the are analytie. @fers = c ²² fcz) = ex (cosy + (Sony)…

A: The given functions a) fz=i zz b) fz=excosy+i siny. Using the Cauchy-Riemann equations to determine…

Q: o ook at the picture below. As a windmill's blade rotates, the height of its tip above ground is…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: he marginal cost were $832, how many GPUs were produced?

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Q: Arequires 15 min of work on Assembly Line 1 and 10 min of work on Assembly Line Model 8 requires 10…

A: Given Soundex producers two models of satellite radios.  We have to find on maximum profit that how…

Q: 6. (a) Recall that sin z = ¹2; cos z = (i) Find real and imaginary parts of sin z and cos z, for z =…

A: Note : '' As per guidelines we will solve first three subparts. If you want any specific subpart to…

Q: Consider the series n=0 a. Find the general formula for the sum of the first k terms. Your answer…

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Q: Problem 4 Consider the initial value problem dy dr 29 sin , COS T- y(0) = 0.

A: Sol:- e3ycosx·dydx=e2ysinxA first order separable ODE has the form of Ny·y'=MxSubstitute dydx with…

Q: According to |SÃ – S| ≤ an+1, what is the smallest value of N that approximates the series (-1)"+1…

A: The given series is S=∑n=1∞-1n+1n+9n+7 We have to find N and S.

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Q: For f(x, y, z) = ey2-5, find Vf(0, -2, 1).

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Q: Sketch the following given that Z = x + yi (2-3) (2+3) = 2

A: Given ,                 (z-3)(z+3) = 2   ;    z=x+iy

Q: When multiplying a scalar and a vector: |ha|=|ā| when A |xa|=|||ā| when > + 0 and + 0.

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Q: Problem 6. Let f be the linear transformation in R² which first rotates vectors in R²…

A: Sol:- We can find the matrix of the linear transformation f by first finding the matrices of the…

Q: Match the series with the graph of its sequence of partial sums. DO 23 Σ ²³ (-11) 4 12 n = 0 O O 3…

A: We have to match the series with the graph of its sequence of partial sums.

Q: A demand function and a supply function for the same commodity is given. D(p) = 35 -7 In p million…

A: a) 60 (Ps, S(PJ)) = (3,3.790) • Producers are willing to supply [3.790 millionunits at Below a…

Q: Determine the number of days of the loan. Loan Date Due Date Number of Days March 7 July 18

A: Given that the following table: Loan Date Due Date Number of Days March 7 July 18         ?

Q: only HANDWRITTEN answer needed ( NOT TYPED)

A: If A=abcd then A-1=1det(A)d-b-ca The given matrix A=1424 det(A)= 4 - 8 = - 4 = 3 in  ℤ7  (since 4 +…

Q: Let m and n are relatively prime, positive integers. What is the greatest common divisor of 5m + 7m…

A: Since m and n are relatively prime, we can use the following property: For any two relatively prime…

Q: Find a basis for the indicated subspace of R³. The plane with equation y = 22z. 3 A basis for the…

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Q: Given A = 5 (a) Find all the eigenvalues and eigenvectors of A. Are the eigenvalues real? Are the…

A: Parts c,d have only been asked to solve. So, only those parts have been solved.       c. The given…

Q: The image of the transformation T(x) = Ax defined by 12 A 4= [(2₂4] is the line in R² of all scalar…

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Q: 7. [-/7.5 Points] DETAILS LARLINALG8 1.2.019. Determine whether the matrix is in row-echelon form.…

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Q: answer is incorrect

A: There is a mistake in the calculation  part  Here is the correct solution. We Know that ordinary…

Q: Manually calculate the compound amount and compound interest (in $) for the investment. Principal…

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Q: When multiplying a scalar and a vector: |xa|=A|ā| when A |xa|=|||ā| when X + 0 and ◆ 0.

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Q: Q1 Let A be the 2 x 2 matrix a11 a21 a12 a22 where a11, a12, a21, a22 € R. Show that if a12@21 > 0,…

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Q: For f(x, y, z)=√√√x² + y² + z², find fa, fy and fz.

A: I have explained everything with in the solution.please go through that.

Q: Estimate the integral 7 1 ₁/x³ + dx by Simpson's rule using n = 8.

A: The integral is ∫021x3+4dx We have to integral using Simpson's rule with n=8.

Q: Question 2. Suppose the real part of an analytic function f(z) is given by u(x, x, y) = xe cos y -…

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Q: Given a set of 25 points on a plane such that among any three there exists a pair of points that are…

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Q: F-¹ ¹(1+jw) (2+jw)

A: L

Q: Find the surface area of the solid generated when the segment of the graph of x =ln(cosy) for 0≤ y ≤…

A: Given: x=lncosy; 0≤y≤π3. To Find, The surface area of the solid rotated about the y-axis.

Q: Determine if each of the following vector fields is solenoidal, conservative, or both: (a) B=x²-yŷ+…

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Q: (a) Find the interval(s) on which is increasing Recall the increasing/decreasing test with respect…

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Q: Given f(x, y, z)= x ln(yz), (a) (b) rapidly; compute Dƒ(1,2,1), where ₪ = 7 - 7; find the derivative…

A: Let us see,   the partial derivatives of f with respect to x, y, and z are below- ∂f/∂x =…

Q: Find the positive critical point of the function f(x) = 10 +2. 10 √2 √√3 x = 0₂-5

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Q: Parameterize the line connecting the points P = (1, 1, 2) and Q = (-2,0,3).

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