The vectors u=[-3, -4, -17]T , v=[3, 0, -6+k]T, w=[-1, 2, 1]Tare linearly dependent if and only if k =

Q: Arianna gathered data about the distance of 20 cities from the equator and the average hours of…

A: In this question, we need to find the type of correlation.

Q: Find the particular solution of the differential equation. dy dx -9x³e-x²; y(0)=2

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Q: Calculators were purchased at $90 per dozen and sold at $25 for three calculators. What is the…

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Q: Cecilia is 5 years older than Amit. If the sum of their ages 10 years from now will be 95, how old…

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Q: 14. a) Use the Gram Schmidt Orthogonalization Procedure to transform the basis {(0, 1, 2), (1, 1,…

A: The given basis of for R3 is 0,1,2, 1,1,2, 1,0,1

Q: 8. Simplify 3x-2y³ (−2x³y−5) x 0 O -6x²y² 6. V 6.ry²

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Q: (ii) Let A be a non-empty set and f: AA be a function. Prove that if fof is injective, then / is

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Q: Find the indicated function value. Enter your solutions as follows: If the solution is -, then enter…

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Q: ×+×+40=?

A: Find ×+×+40=?

Q: Q2: A: IF B = By using the result of det(A) (JA) Find the value of det(B) ([B]) without use the def…

A: Given :A=123456101

Q: missing digits in the pr X 2 90 040 0000 + 39 What is the hundreds d A. 1 B. 4 C. 6

A: We are asked to find the hundreds of the product number

Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

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Q: Which of the following graphs could describe the system of equations?   A Blue   B Green   C Purple…

A: Which of the following graphs could describe the system of equations?

Q: Solve for x. 5 (x-3) = 7-4 (2-x)

A: Given equation,     5x-3=7-42-x

Q: (x² + 1 if x -1 Sketch ƒ(x) = {x Find the domain and range

A: Domain:- The set of all those points such that function at that points exists, i.e., x∈ℝ such that…

Q: 3 Given f(x) = x³ −5, find the equation of the secant line passing through (-3,ƒ(-3)) and (3, f(3)).…

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Q: Find the value by evaluating the function. Do not include any spaces in your answer. Function:…

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Q: Q1) Which of the following statements is true for all non-empty subsets X the real numbers? Justify…

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Q: The-diagonals-of-a-rectangle-enclose-an-angle-of-measure-78-degree-If-the-perimeter-of-the-rectangle…

A: The-diagonals-of-a-rectangle-enclose-an-angle-of-measure-78-degree-If-the-perimeter-of-the-rectangle…

Q: 36. The problem below shows steps in finding the product of two two- digit numbers using this…

A:

Q: The expression f(x) = sin(x) cos(x) - cos³(x) simplifies to f(x) sin(x) Determine f(x). .

A: The expresion sinxcosx-cos3x simplifies to fxsinx.To determine fx.

Q: The cofactor element of an ai; denoted by Ai; is i-j a. (-1) Mij b. (-1) Mij c. (-1)+ Mij d. none of…

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Q: Which polynomial function would have the end behaviour of as x→ too, Y→ co? a) f(x) = 7x³ - 8x* -…

A: Topic = Functions

Q: Three-dimensional pyramid. A pyramid with a height of one contains a piece of sugar, a pyramid with…

A: Concept: A sequence is an arrangement of any objects or a set of numbers in a specific order that…

Q: Let 21 = 2(cos(267) + sin(267)) and 22 = 18 (cos(60) + i sin (60°)). Compute each of the following…

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Q: 5. Consider the sets A = 0 and B = {0} and C = {1,0}. Find each of the following sets, if it is…

A: Given :A=ϕB=θC=1,ϕ

Q: Find the indicated limit. x-0* lim x Inx x-0* 1900 lim xInx 1900

A: I am attaching image so that you understand each and every step.

Q: Solve for x. log₂ (5x-7)=4 Select the correct choice below and, if necessary, fill in the answer box…

A: Solving for x

Q: For the real-valued functions g(x)=√3x+18 and h(x)=x-3, find the composition goh and specify its…

A:

Q: 2. Evaluate the following expression when m = 4, n = -2 and p = 3: 2m(n-p)-[2m+n+p 31 O-49 O-1 22…

A: 2.The given expression,  2mn-p-2m+n+pn+p; m=4. n=-2, p=3 Note:     Multiple questions are given, we…

Q: For each pair of functions f and g below, find f(g(x)) and g (f(x)). Then, determine whether fand g…

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Q: Function: w(n)=−2n−1w(n)=−2n−1 Find: w(3)w(3) Solution:

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Q: A small antenna fell from the top of a communications tower that is 900 feet tall. The height in…

A: It is given that the height of the antenna above the ground at t secondsis given by ht=-16t2+900.We…

Q: O 4. If 270° < 0 < 360° and cos=, find sin 20. 12√/85 121 O-6√/85 121 O 6√85 121 O-12√/85 121

A: Theta is in 4th quadrant

Q: lim X-0 f(x) = 2-xx ²0 x+2, x>0

A:

Q: Write an equation of the line with the given slope, m, and y-intercept (0,b). m=5, b=4 *** The…

A: Given that, Slope m=5, y-intercept b =4   The equation of the straight line can be expressed in many…

Q: 3. A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

A: Explanation of the answer is as follows.

Q: 2+3

A: Find value of 2+3

Q: Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter…

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Q: F. The problem below shows steps in finding the product of two two- digit numbers using this…

A:

Q: Determine whether the two functions are inverses. t(x) = -5₁ and v(x) = X-4 Part: 0 / 6 Part 1 of 6…

A: This question can be solved using the concept of invers of a function.

Q: Q1\A: Find the value of K in the following linear system which is m solution failure Kx+3y=6, 2x-y=1

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Q: Basic Laplace Transform Q. What are the abscissae of convergence for the following functions? f) t4…

A: Formula L{cosat}=s/(s2+a2)  L{eat}=1/(s-a)  L{tn}=n! /s(n+1)

Q: f(x+h)-f(x) h Let f(x) = 5x² + 6x-3. Find the difference quotient::

A: Solving the problem by finding the value of the problem.

Q: Solve f(x) = g(x) by graphing and algebraic methods. 60. f(x)=x³+x²_g(x) =9x+9 Solve f(x) = g(x) by…

A: Concept: The algebraic equation: An algebraic equation is one that has the following form: P = 0 P…

Q: find, in terms of n, the general term of the quadratic sequence: 2, 7, 17, 32

A: find, in terms of n, the general term of the quadratic sequence: 2, 7, 17, 32

Q: Determine whether the function is even, odd, or neither. Then describe the symmetry- f(x) = x42x² +…

A: To say that a function is odd or even we have to check f(-x)=-f(x)For symmetry about origin:- grpah…

Q: The general shape of the base of the play area is shown below. m CLIMBING EQUIPMENT (gravel base) 15…

A: From the given diagram, we have to find its missing lengths and perimeter.

Q: Consider the equation and the following ordered pairs: (-4, y) and (x, 2). y = 2x + 8 Compute the…

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Q: Using G for positive counters and R for negative counters, perform the subtraction problem with…

A: Here, R is the negative counter and G is the positive counter. So, -4 means 4 R counters.