What is the distance between lines L1 with P(2, 1 , 4) and a vector of <-1, 2, 3> and L2 with point P(-1, 2, 3) and vector <2, 1, 4> Kindly use distance point-plane formula

Q: An investment grows according to the formula B = 6000 x 1.0065 dollars, where t is time, measured in…

A: An investment grows according to the formula B=6000×1.0065t dollars where 't' is time (in months).

Q: Given the following matrix A, find an invertible matrix UI so that A is equal to UR, when R is the…

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Q: - 2π 8- 2n 4t 6A 8k /10л Q

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Q: 10 00 8 6 4

A: It is an exponential graph. Domain of graph is (-∞ , 2)

Q: A is the set of all points inside and on the circle x² + y² =9 in E²

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Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

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Q: Examples. Justify your answers briefly. Give examples of two series where the ratio test is…

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Q: Approximate the critical numbers of the function on the open interval shown in the graph. Determine…

A: We can see that the function is defined in the open interval (-1,1). The function has critical…

Q: Google is analyzing the decision to launch a new Pixel phone. The development costs are estimated to…

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Q: Principal Rate (%) $145,000 14-1/2 14¹ Time 8 months SA Interest X LA Maturity Value X

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Q: Select all true statements regarding limits at infinity. The limit of sin(x) as x approaches co does…

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Q: Let V₁ = 3 B-B-B and V3 = 0 Av = 3 = be eigenvectors of the matrix A which correspond to the…

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Q: Let A be an n × n matrix and let B = A − αI for some scalar α. How do the eigenvalues of A and B…

A: To check that (eigenvalue of A- alpha) is an eigenvalue of B.

Q: you deposit $4000 in an account that pays 7% interest compounded semiannually. After 3 years,…

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Q: The following table shows the results of a survey of authors by a fictitious publishing company…

A: Given that C: set of successful authors, U: set of unsuccessful authors, N: set of new authors and…

Q: n gent

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Q: Twelve cars were equipped with radial tires and driven over a test course.  Then the same 12 cars…

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Q: 1 1 2 4 1 Determent if the Rre linearly independent or linear dependent. If It is linear dependent,…

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Q: Activity (DO THIS IN YOUR NOTEBOOK) A. State whether f(x) is an exponential growth or exponential…

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Q: (d) Give a subset of R2 that is both open and closed, and give one that is neither open nor closed.

A: A subset of R2, that is both open and closed is the empty set. Since, there is no point in empty…

Q: Design a circuit to take input signals P, Q, and R and output a 1 if, and only if, P and Q have the…

A: It is given that the output signal S is 1 if ad only if P=Q≠R. So, the truth table for the circuit…

Q: 3. Residential power consumption has shown certain trends over recent years. Based on date…

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Q: (d) A sequentially compact subset of R2 that contains the point (2, 2).

A: We have to find a sequentially compact subset of ℝ2 that contains the point 2,2

Q: Construct a truth table for the given statement. q~p

A: Truth table: The truth table is a tabular view of all combinations of values for the inputs and…

Q: Λ = Q−1AQ

A: We have to show that ∧=Q-1AQ is diagonalizable Let A  be similar to a diagonal matrix…

Q: 38 47 39 25

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Q: Instruction: Sketch the solution curve passing through each points. You can use computer software to…

A: We can solve as follows

Q: 1. At a certain university 523 of the seniors are history majors or math majors (or both). There are…

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Q: Prove that Z[√ 5] is not a unique factorization domain.

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Q: find an explicit solution of the given initial - value problem

A: First we separate the variables and then we will integrate both sides. Then we put the initial value…

Q: Let X=C[0, 1]. Show that there is a TE BL(X) whose spectrum is a given interval [a, b].

A: Define T:X→X by Tx=vx, where v∈X is fixed. If λ=v(t0) for some t0∈[0,1]. Then (T-λI)x vanishes for…

Q: 4) p(x) = (x-2)²(x+3) x²-x-4+x+3

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Q: The function u(x, t) = exp(-x²) is a solution of the heat equation 4rt au au² 30-3422 at ax² Use…

A: Given the solution ux,t=14πtexp-x24t of the heat equation ∂u∂t=∂2u∂x2.

Q: B. Directions: Perform the indicated operations on functions. Given: f(x)=x²-10x +25, g(x) = x +5,…

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Q: A potato is launched vertically upward with an initial velocity of 170 feet per second from a potato…

A: Solution: (a) s = -16t2 + 170t + 66        Velocity is given by,           v = ds/dt = 170 - 32t…

Q: D. If the original inequality of interest were instead 0 < |x − 2| < 3, exactly one real number must…

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Q: 2. MONEY Lars and Peter each have the same amount of money in their wallets. They went to the store…

A: SOLUTION :-According to question ,before going to the store Lars and Peter have same amount of money…

Q: Find the first derivatives. 1. f(1) = (1² + 1)5 2. f(P) = P³ + 3. v(1) = 41² +11V1 + 1 4. g(y) =…

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 7 = 16 dy dx || X

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Q: (b) (c) (d) (e) dy=3x²(y-1) dx dy_y+2 = dx x+1 dy dx -+e*y² = 0 dy dx -= cos x tan y hotnes

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Q: Solve for A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right…

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Q: A business has found that it can sell 730 items if it sets its price to $61.08. However, if it…

A: Given: A business has found that it can sell 730 items if it sets its price to $61.08. However, if…

Q: Consider the groups Z[i] = {a + bi | a, b = Z, i² = -1} and Z (both under +), and the function o:…

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Q: 4. [Core content] Tomaslav has learned the following facts well: All the sums of whole numbers that…

A: Given: In this problem, some facts are given, 1) All the sums of whole numbers that add to 10 or…

Q: think there is a mistake in the last part. It says B epsilon (x) subset =B r(x). It supposed to be B…

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Q: You want to approximate Σ 21/10 to three decimal places using n5 n= Find the smallest N justified by…

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Q: Differential equations -Variation of parameters www a) d=y=t². b) + y = 4 cos (2t) dt y(0) = 1|

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Q: Let X be a normed space, Z = X and fe X'. Let T: X → X be defined by T (x) = f(x) z, x = X. Prove…

A: We have given that, X be normed space, z∈X and f∈X' where X' denote the set of all bounded linear…

Q: Suppose that the polynomial 24 +49 is factorised into real irreducible factors. (That is, such that…

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Q: Examples. Justify your answers briefly. (a) Suppose that real functions f and g have the same value…

A: It is given that, real functions f and g have the same value on some open interval containing 0.…