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Q: Define T: R R by T(x)= Ax, where A is the matrix defined below. Find a basis B for R with the…
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Q: 4 For what value(s) of x is the function f(x) 2x? - 6х NOT continuous? A. x = 0 and x = 3 B. x = 3…
A: To find- For what value(s) of x is the function fx = 42x2 - 6x NOT continuous? x = 0 and x = 3 x =…
Q: Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…
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Q: Find the quotient of z1 & z2, leave answer in trigonometric form: z1 = 2 – 3i & z2 = 1 – V3i
A: Introduction: Division is also performed between two complex numbers. But in order to convert the…
Q: Dscribers The manager of TeleStar Cable Service estimates that the total number of subscribers to…
A: The total number of subscribers is given by Nt=-400001+0.2t+60000 the average number of subscribers…
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Q: Tacoma's population in 2000 was about 194 thousand, and has been growing by about 10% each year. a.…
A: Introduction: The rule of 72 is a very significant formula in mathematics. When there is a uniform…
Q: e relation on the set of ordered pairs of positive in +c. Show that R is an equivalence relation.
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Q: Find the volume of the solid generated by revolving the region bounded by y =4x and the lines y=4/3…
A: Introduction: The formula of the disk method is given by, V=π∫ab(f(x))2dx Where f is the function of…
Q: er a 4-regular undirected graph that has 5 vertices. How many edges are ther
A: In this question, the number of edges is to be calculated when a 4-regular undirected graph has 5…
Q: Hew y If the directiond derivative Valne ( Duf) ef the function f(x,4) = x²-3xy +uy3 at Paint (-2,0)…
A: From the given statements, we have to find the unit vector. Then, we can proceed further.
Q: Find a particular solution to -18.5e-2t 12 + 1 y" +4y +4y = %3D
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Q: (a) Use a graphing utility to graph the functions f(x) = 3 cos(2x) + 4 sin(7x) and g(x) = 3…
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Q: Show that if U and W are subspaces of the vector space V, then dim UnW < min{dim U, dim W} . Prove…
A: Given statement is false. Counter example is as follows
Q: Is there a sequence of continuously differentiable functions: fn : R –→ R such that fn → x and f. →0…
A: Yes, the sequence is given in step 2.
Q: Q14 Suppose that C is the graph of a smooth vector-valued function r(s) parametrized by arc length…
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Q: A. Ē = -VV if V(r, p, z) = 10z sin o B. Divergence ủ ifů = (r cos² 0)f = (r cos 0 sin 0)êê + 3r@ C.…
A: As per the question we are given some scaler and vector fields in spherical & cylindrical…
Q: Differentiate the function y = -5e".
A: Given that, the function is y=-5e0. In order to find the derivative of y=-5e0, simplify the function…
Q: 1. Use Green's Theorem to find the counterclockwise circulation and outward flux for the given filed…
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Q: Q5. A Ferg uson Curve is defined by two Points (o, o, o) audl C5,0,0) aud two tangents I 1S the…
A: Let the curve be defined by following parametric form- x(t)= at3+bt2+ct+dy(t)= et3+ft2+gt+hz(t)=…
Q: Let f(x) = 2x +3, g(x) = x – 4, and h(x)= 4x – 1. Compute (h o go f)(3).
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Q: The (3, 1)-cofactor. The (3, 3)-cofactor.
A: We have to find the cofactor of (3,1) and (3,3).
Q: Find a particular solution to -8.5et y" – 4y/ + 4y t² +1 Yp %3D
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Q: 5. (a) Consider the I.V.P dA kA A(0) = Ao dt as the model for the decay of a radioactive substance.…
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Q: Make sure that a) The set {vi, v3 with vi = (2,9) and v = (1, 1) iş a base of R2 b)The set {vi, v3,…
A: We have to check the following : a) The set v1, v2 with v1 = (2, 9) and v2 = (1, 1) is a base of…
Q: Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i) |
A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…
Q: Problem 3 Let R be the relation on the set of ordered pairs of positive integers such that (a, b),…
A: As a+b = b+a, ((a,b),(a,b)) € R. Hence, R is reflexive. Let, ((a,b),(c,d)) € R => a+d =…
Q: Prove that is a function f is harmonic =0, then - dx -Ldy =0.
A: Given function f is harmonic such that ∂2f∂x2+∂2f∂y2=0
Q: 4. Determine if the vectors are orthogonal, in the same direction, or neither. Briefly explain your…
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Q: ) Let A. Cse le given by A(x, ウ2tm.) = (M年 Isthe operator e invertible ? If the anserer is He…
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Q: Q3. If a constant number h of fish are harvested from a fishery per unit time, then a model for the…
A: we have to solve given differential equation with initial condition and then use values of constant…
Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75)…
A: Here x0=-0.75, x1=-0.50, x2=-0.25, x3=0.and y0=-0.07181, y1=-0.02475, y2=0.33494,…
Q: Find the gradient vector field Vf of f and sketch it. f(x, y) = x2 - 4y Vf(x, y) = y y 6h 6 4444…
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Q: x' + y' – x = cos(t);x' + 2y' = 0; x(0) = y(u) = 0
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Q: 3) Con sider the Rolowina opo otor A: L'co,) l'Q0, Docs A heve eigenvalues? Find Hhe qpetrumof A
A: As per the question we have to check whether the operator A has any eigenvalues. Then we have to…
Q: Let f(x) = 2x2 - 1 and g(x)= 1 + x². Find (f o f)(x). O x* +2x² +2 4 O 4x4 – 4x2 + 2 | 4 O 2x* + 4x²…
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Q: 3)L. y" + y – 6y = (12 – 16x)e*. i Consider the nonhomogeneous DE: A) Verify that y, = 4xe* is a…
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Q: Formulate an equivalent linear program for the following model: max min{2x3 – 1,4 – |x1 – x2|} –…
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Q: We have a large tank initially containing 1, 200 gallons of pure water. We begin adding an…
A: As per the rule we are authorized to answer only 3 subparts So, providing the answer for the first…
Q: 3 1 4 1 5 1 1- Show that the series is convergent. | 2 4 3 42 4 43
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Q: Find the approximation to the root of the following function f(x) = x² +6 x – 24 using the…
A: The given function is fx=x2+6x-24
Q: a list price of R32,000. If the supplie extends trade discounts of 42/32/1 is the trade discount…
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Q: A model for the height h (in feet) of a Ferris wheel car is h = 70 + 70 sin(4at), where t is the…
A: Given that h=70 +70 sin(4(pi)t)
Q: Find the antiderivative of each function. 4a3/2 -1 (a) f(x) : (b) alx) = 3e% + sec2 |
A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…
Q: for which all the Ei en below are real is 4 1
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Q: Q3/ The value of k such that P2(1) = 2.8, 2 4 |0 1 2 Is
A: We can use the divided difference formula to find the value of k.
Q: Q3/ The value of k such that P2 (1) = 2.8, k 4 1 2 Is
A: P2(x)=(x-k)(x-4)(2-k)(2-4)×0+(x-2)(x-4)(k-2)(k-4)×1+(x-2)(x-k)(4-2)(4-k)×22.8=(1-2)(1-4)(k-2)(k-4)×1…
Q: wo Eigen values of the matrix e a ratio of 3:1 for p = 2. What e of p for which the Figen valu
A: Introduction: Eigenvalues are a subset of scalars that are associated with a system of linear…
Q: x? – 9x3 Find Lim x-00 6x3 + 4x A. 0 В. О 3 C. -- 2 O olo
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Q: Use False Position Method. • Compute Es according to 4 significant figures according to the formula…
A: we have given function defined on the interval [2, 3] Clearly Hence we confirm that g(x) has a…
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