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Q: (a) Why is the set S = {(2,1, 3), (0,3, 2)} is not a basis for R'. (b) Why is the set S = {1, 4t, 5 ...

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Q: Consider the function f(z, y, z) = 5z - 3zy + ryz %3D a. At the point (3,4, 5), what is the directio...

A: Given function is f(x,y,z)=5x2−3xy+xyz To find the directional derivative of the above function at t...

Q: Example 7: Determine whether the set of vectors in R below is linearly depen- dent? S = {(1,2, 3), (...

A: Given set of vectors S={(1,2,3),(0,1.2),(-2,0,1),(1,1,1)} we need to check if the set of vectors are...

Q: Find an exponential function of the form y=ab^x that passes through the points (0,4) and (2,100)

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Q: BCFind the eigenvalues, eigenvectors, and basis of each eigenspace of: 5 -6 -6 -1 4 2 3 -6 -4

A: At first we have to find the characteristic polynomial, from that we will find the eigenvalues. Then...

Q: F) Graph: 6x – 3y + 12 = 0 구 4 2. -8 -7 -6 -$ -4 -3 -2 -1 2 3 4 6. 7 8 -1 -2 -3 -4 -5 -7

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Q: 9. x-y=-9 8x-3y=-62

A: We can solve this question by substitution method

Q: Minimize W=2y, + Y2 + 2y3 The minimum is w = when y, =, y2 =, and y3 = (Type integers or simplified ...

A: Given-  Minimize w = 2y1 + y2 + 2y3subject to:y1 + y2 + y3 ≥ 113y1 + y2 ≥ 44with y1≥0, y2≥0, y3≥0 To...

Q: (tan ) 1/x TC + x 4 * f(x)D. k, For what value of k, f (x) is x =0 continuous at x = 0?

A: The

Q: Confusion Matrix for Feedback: Suppose that for the following three-class confusion matrix we have a...

A: Given: Here the given as Assume we have an extremely accurate binary classifier for discriminating c...

Q: How long will it take P10,000 to accumulate to the amount of P11,000 at 12% compounded monthly? ____...

A: (As  per Bartleby guidelines we are supposed to answer only one question(& its 3 related subpart...

Q: Suppose A E C such that X(2+i, 3 – i) = (5- i, 7- 5i). Then (1) A = (1– i) (2) A = (2– i) (3) Does n...

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Q: 3x Consider the function f(x) the average or mean slope of the function on this interval. 3x on the ...

A: The average slope or the mean slope of a function  f(x) in the interval [a,b] is given by the equati...

Q: Let u = (1, 2, 3), v = (2, 2, –1), and w = (4, 0, -4). Find 2u + 5v – w. STEP 1: Multiplly each vect...

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Q: 0. if -T <t < Consider the function with period 27, defined in the interval from-T to T as f(t) = { ...

A: Given periodic function is ft=0if -π&lt;t&lt;-π22costif  -π2≤t≤π20if  π2&lt;t≤π of period 2π. The co...

Q: answer item 2 only

A: Bernoullis differential equation

Q: What will be the compounded amount on a loan of P1.500 at 12% interest compounded quarterly for 1 ye...

A: Introduction :

Q: 11. Find the zeros, multiplicity, y-intercept, and end behavior of f(x) = x(x – 3)(x – 2) then sketc...

A: To find- Find the zeros, multiplicity, y-intercept, and end behavior of fx = xx - 3x - 2 then sketch...

Q: 0. -2 5S-1, (f) /() す。 1sく2.

A: (f) Given function is fx=0,  −2≤x&lt;−1x,  −1≤x&lt;10,  1≤x&lt;2. We have to find the Fourie series ...

Q: (a) Every vector of R? is a linear combination of the vectors (-2, 3), (1, 1) and (4,1)? (b) Is ever...

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Q: 12.-득x-7y=6 x+3y=-9

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Q: A container with a height of 3/2 is made by rotating the curve y = 3/2x^2, O<x<1, about the axis x =...

A: We can solve this question using disc method

Q: • 1. Kofimo Coffee • The Plant Supervisor of kofimo wants to determine the process mix that will res...

A: To solve the optimization problem using the algebraic method, convert the inequalities to equations ...

Q: Let C be the space curve r(t) = (3 sin(t) – 1,4 sin(t) + 1), 0 < t < . The length of C is

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Q: (d) Ln 8(t – 2) sin at dt (h) 0 ex-1) cos 4 (x – 5)8(2x – 3) dx

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Q: Write down first order ODE that could describe: "The rate at which COVID-19 spreads (an increase in ...

A: This will be first order linear differential equation.

Q: Let L: R[z}des52 + R[z}des2 be the linear map D(p(z)) = p(z) – p'(z). (a) Find Cyc(L, z²). (b) Let W...

A: Note: The linear map is defined by L, so we are solving it L(p(x)) instead of D(p(x)). Given linear ...

Q: Find an example of a 2 x 2 matrix A such that A? + I2, A³ I2, and A6 = I2. Explain how you know, wit...

A: The n×n identity matrix, In can be defined as In=10⋯00100⋮⋮⋱⋮0001.  The determinant of a 2×2 matrix ...

Q: Consider the function f(x) = 12x+ 45x - 200x + 3. f(x) has inflection points at (reading from left t...

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Q: 1 + 3 + 5 + + (2n – 1) = n²

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Q: CalJuice Company has decided to introduce three fruit juices made from blending two or more concentr...

A: make a table for the given data   pine apple orange banana profit maximum cartons   Pineapple o...

Q: Calculate the logarithms of the following complex numbers

A: Logarithms of complex numbers

Q: 1.5 2 3 Y 0.5 0.78 1.1 1.35 1 - WHAT ARE THE FORWARD LEADING ELEMENTS OF THE DIVIDED DIFFERENCE ? -W...

A: By Lagrange Interpolation formula, f(x)= (x-x1)(x-x2)(x-x3)(x-x4)(x0-x1)(x0-x2)(x0-x3)(x0-x4)   ×y0+...

Q: 1. Find an example of a 2 x 2 matrix A such that A? + I2, A³ + I2, and A6 = I2. Explain how you know...

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Q: and let T: R-→R? be a linear transformation that maps x into x,v, +x,V,. Find a matrix A such that T...

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Q: Sets G and D are defined as follows. G={1, 3, 4, 5} D={2,4, 8} Answer each part below. Write your an...

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B cont...

Q: Gabriela needs to find the cosine of . If she knows that cos=, how can she use the double angle form...

A: It is known that π6 can be written as 2π12. Formula used: Here we shall use the formula: cos2x=2cos2...

Q: n(n?+5) is divisible by 6, for each each integer n20 Proof (by induction) P (0) = " o (0²+5) is divi...

A: In this question, concept of mathematical induction is used. Mathematical Induction Mathematical ind...

Q: Prove the identity. cos (n+x) (停) = cotx 3n cos 2 Note that each Statement must be based on a Rule c...

A: In this question, trigonometric relation is used. Trigonometric Identities Equalities involving trig...

Q: Exercise 5-41 Algo At a local community college, 43% of students who enter the college as freshmen g...

A: Given: Here the given is at a nearby community college. 43% of students who start as freshmen go on ...

Q: Find the dimension of the subspace W = {(d, c – d, c)} of R³ O Let W be the subspace of all symmetri...

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Q: Ве3 (2, —1,0), из %3 (1,0, 1), Uz = (0, –4, 1), vi = (0, 2, 1), v2 = (2, 3, 4)andU3 = (1, 1, 1). a) ...

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Q: If a rock is dropped from a height of 33 ft, its poistion t seconds after it is dropped until it hit...

A: The average value of the function f(x) in the interval [a.b] is given by the equation; avg(f)=f(b)-f...

Q: Describe the translation from f ( x ) = I x I... to f ( x ) = - I x + 2 I + 12 . Select one: a. Ste...

A: Transformation of the function y=f(x) Function Transformation f(x)+d vertical translation upw...

Q: Suppose A is a 3xn matrix whose columns span R3. Explain how to construct an nx3 matrix D such that ...

A: Please check step 2 for the solution.

Q: Find the particular solution of the given Homogeneous Differential Equations. 1. (y- x² + y²)dx- xdy...

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Q: 11. 2y= 6x+10 3x- y =5

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Q: Solve z2 = 1+ p² + q² . Ans. Complete integral is cosh-(z) = (a. 1

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: 2. y' = x - 2xy; when x = 1 and y = 1

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Q: Recall what we discussed in class by regarding a certain domain as either type 1 or type 2 domain. E...

A: Evaluation of the integral