2 Homework: Determine the critical path(s) for the following projects: E F C,D E 1 4 Activity Predecessor(s) Duration (day) 1 A G - B C D A B B 2 2 3

Q: Use linear approximation, i.e. the tangent line, to approximate √64.1 as follows: Let f(x)=√x. Find…

A: Note:- Linear approximation of a function f(x) about x = c is Lx ≈ fc + f'c x-c   Given information…

Q: Suppose the statement, "if the pentagon is green, then the triangle is red," is true. Assume also…

A:

Q: For the infinite geometric sequence (xn) whose first four terms are  1.3, 3.77, 10.933, 31.7057…

A: The infinite geometric sequence is 1.3, 3.77, 10.933, 31.7057, …. we need to determine the…

Q: Use row operations to change the matrix to reduced form. 10-5 012 00 3 10-5 0 1 2 00 3 0 - 12 0 -12…

A: This question is related to matrix reduction using row operation.

Q: 20 grams of salt are dissolved into a beaker containing 1 litre of certain chemical. The mass of…

A: The differential equation is dMdt+2M10-t+1=0. We need to prove that: M=11010-t20-t.

Q: If | A| = 2 and |B| = 6, what is |AU B|+|An B?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If P (B) = ³, P(Ãn B n C) = and P(A n B n C) = 3, then P(B n C) is O 1/12 O 1/4 5/12 O 3/4

A: I have given the answer in the next step. Hope you understand that

Q: Compute the simple interest INT for the specified length of time and the future value FV at the end…

A: Given information Principal amount P=$5,000 Interest rate r=8% per year Terms of the loan n=2 years…

Q: Evaluate fff zz dV where E is the solid tetrahedron with vertices 0(0,0,0), A(1,0,1), B(0, 1, 1) and…

A: Given that E is the solid tetrahedron with vertices 0,0,0,1,0,1,0,1,1. Suppose, the equation of the…

Q: Find the eigenvalues of the matrix A. The eigenvalues are X₁ < A₂ < 3 < A4, where A = 4 -8 -10 0 0 0…

A: Given matrix is A=2-8004-100000-111200-1617 Let the eigenvalue be λ Then  A-λI=0 So…

Q: 2. Using Gauss-Seidel, compute a solution to the problem Ax=b w matrix of the form 2 -1 0 0 -1. 2 -1…

A: Given Data: Let us consider the given matrix  A= 2 -1   0   0...........-1-1   2  -1…

Q: Find the center of mass of the following solid, assuming constant density. Sketch the region and…

A:

Q: [9] 6 and let W be the set of all x in R³ such that u x = 0. (a) Show that W is a subspace of R³.…

A:

Q: 2. Given f(x)=√x, describe the concavity of f(x). A. concavity cannot be determined B. concave up…

A:

Q: b) Solve the system of linear equations by using Gauss Jordan Elimination method. + 2x4 X4 X1 3x1 -…

A:

Q: Use rounding to 6 digits and compute each of the following: Q2- d) P(.01), where P(x) = (exp(x)…

A: We need to use 6 digits rounding to evaluate the expression: P(x)=ex-1-xx2 for x=0.01. We need to…

Q: Investigate the stability of the region of the system -y, y--r-y(1-x²).

A: Given that : differential equation x'=y , y'=-x-y(1-x2) To find : Investigate the stability of the…

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t20. Then…

A:

Q: Integrate the given function over the given surface. √√3 G(x,y,z) = z over the parabolic cylinder y…

A:

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: \Find the limit: lim x¹/Inx 818

A:

Q: In a different plan for area​ codes, the first digit could be any number from 0 through 3​ the…

A: Given Data: The first digit could be any number from 0 through 3 and  the second digit was either 3…

Q: Consider f(x) = x³ 3x² on the interval [-2,4]. Where is f(x) increasing? Where is f(x) decreasing?…

A:

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A:

Q: The solution of the equation d'y -y=k(k = a non zero constant) dx² which vanishes when x = 0 and…

A:

Q: Let series c,, be positive for all values of n and; fa+1 A. B. C. D. 025 B unlim aum 4 for n 21.…

A: Given recurrence relation cncn+1=4 for n≥1 and cn is positive for all n.…

Q: Use the Shell Me by the following revolution, a typi ntegrate to find

A: Another technique for determining the volume of a solid in revolution using a specified integral is…

Q: 3. Let A = [ 023 1 202 5 ]. (a) Find Nul A. For what k is it a subspace of Rk? (b) Find Col A. For…

A:

Q: Show your work. Simplify your results. Find the best fit line y = mx + k for the following points…

A: Least square solution y=mx+k where m=N∑(xy)-∑x∑yN∑x2-∑x2 and k=∑y-m∑xN Given points x y -1 -7…

Q: →) Let V and W be vector spaces over F, where dim V = n <∞. Let K≤ V and R≤ W such that dim K + dim…

A:

Q: 2+1 S X77(1) 1=2 M2

A:

Q: The set B = = {1 − t², t+t², 1 + 2t-t²} is a basis for P₂. Find the coordinate vector of p(t) = 5 +…

A:

Q: Use Gauss-Jordan row reduction to solve the given system of equ and/or z.) (x, y, z) = -x + 2y -X 2x…

A: given system -x+2y-z=0-x-y+2x=02x-z=2 Augmented matrix -12-10-1-12020-12 Lets use Gaus Jordan Row…

Q: Jesse tossed a paint brush off her roof. The height of the brush (in meters above the ground) ttt…

A: Given That : the Function h(t)=-5t2+5t+10  To Find : Rewrite the function in different form

Q: function r(t). The temperature at the point (x, y) is given by f(x, y) = 3x + 4y + 20. The velocity…

A: Introduction: In mathematics, a derivative is the rate at which a function changes in relation to a…

Q: (16x² − 16 x + 4)D²y = 4x² − 4x + 4

A:

Q: (a) Use the graph to find an estimate for the median mark in the algebra test. (b) Use the graph to…

A: This is a question from finite math, counting.

Q: Find the Maclaurin series for the following function. Find its radius of convergence, R.…

A:

Q: (5,0) Ax (X-2) Graph of f -10 810 (10.2) 10 Let f be a differentiable function defined on [-10, 10]…

A:

Q: A teacher wants to award prizes for 1st, 2nd and 3rd in the class of 20 students. In how many ways…

A: Sol: Given :- Total number of students = 20 Award Prize for 1st , 2nd and 3rd

Q: 10. Suppose your friend is trying to diagonalize the matrix P, shown below. He calculates the…

A: Note:-  As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated…

A: We have to calculate the future value for the given data

Q: ulate lim m-700 Σ' · 4 n. 4n

A: Given series limn→∞∑i=1ni.4in.4n

Q: A student is given the graph of y = f(z) as shown. The student is then asked to perform 2…

A: For the solution of the problem follow the next step.

Q: Question 5. Find the general solution of t²x" + 3tx' - 3x = t² when t> 0

A:

Q: 5: A. Using convolution to find L¹ [(5+2)(s+4)

A:

Q: Give some examples (at least three) where the Basic Comparison test fails. Also, investigate the…

A: To Find: Examples (at least three) where the Basic Comparison test fails. To Prove: Convergence or…

Q: The probability of two workers A and B being absent in a given day are 1/2 and 1/3 espectively. Find…

A: We want to find true option.

Q: 12. DETAILS ZILLDIFFEQMODAP11 7.3.033.EP. 8 A 4-pound weight stretches a spring 2 feet. The weight…

A: