2A.Imani starts her hieyele from rest and accelerates uniformly to a speed of 40 km/h in 6 minutes. She maintains this spood for another 5 minutes, then applies the brakes and decelerates unifomaly to rest in 3 minutes. () Select a velocity-time graph to show the different segments of Imani's journey. (i) Calculate the acceleration in km/h during the first 6 minutes of the journey. for the last 3 minutes of the journey. (iii) Calculate the deceleration in km/h (iv) Calculate the total distance covered in km for the entire journey. Calculate the average speed for the entire journey in km/h to the nesest Whole number. Enter your answer (0) (0) (9) 12 15 mins ku 40 (M) (1) 6 15 14 mins 40 k km/h 15 18 mins

Q: 3. Prove that Ov=0 for every vector v in a vector space.

A: We have to prove that 0v = 0 for every vector v in a vector space.

Q: rigurt Tu diagram for tunnel from distance x to x+h. odening the time it takes to extend a small…

A: Given below clear answer

Q: Let S= \ {-1} and define an operation on S by a*b = a + b + ab. Prove that (S,*) is an abelian…

A: Given: The operation on S=R\-1 is defined by a*b=a+b+ab To prove: That (S,*) is an abelian group.

Q: 5. Prove that (-1)v=-v for every vector v in a vector space.

A:

Q: show that(2+i, 1+i) is not a complex scalar multiple of (3+2i,4+i)

A: What is Complex Number: A complex number is the extended number system. This number is of the form…

Q: An application of Kirchhoff's Current Law to the circuit with nodal voltages in Figure 2 gives rise…

A:

Q: The Maclaurin series of a particular function f is x" f(x) = Σ_g?w=1n!" n=1 (a) Use the ratio test…

A: The given series is f(x)=∑n=1∞xn32n+1n2. (a) To Find: Radius of convergence using ratio test. (b) To…

Q: Od. The function f: [0,00)→ R given by f(x)=x¹/2 is Lipschitz. e. The function f: [0,∞) → R given by…

A: Lipschitz Function: Let A⊂R, and f(x):A→R, then f(x) is called Lipshitz Function on A if ∃k>0,…

Q: If |A|= n, what is [P(A) — {{x} : x=A}|? -

A:

Q: Prime factorise 90 and 150.

A: We have to find the prime factories of 90 and 150. Prime factorization:- It is a process of…

Q: We used Romberg integration to approximate ff(x) dx, we got R₁1 = R₂1 = R1 = and f(²)=2 Then f = 25…

A:

Q: 2. Prove that every element in a vector space has a unique additive inverse.

A:

Q: 2 3 5 6 789 1 5.Find rank and nullity of A=4

A: The given matrix is A=123456789. We have to find the rank and nullity of the matrix A. First, we…

Q: the value of lambda such that y=e^lambda*x is a solution of y''x-4y'+20=0 as: could you help me…

A:

Q: Which of the following values will give us the most relevant information about a particular group of…

A: Sol:- Correct option :-

Q: 6 numbers that add 20 from 1 to 9 and numbers from 1 to 9 must not be repeated Solve in 10 min

A:

Q: U₁ + Ux+Vx = 0, v₁ + UxVx = 0, u(x, 0) = u(x), v(x,0) = vo(x).

A: Given clear explanation below.

Q: When 3 edges are removed from a graph G without removing any vertices the resulting graph G' is a…

A: here we have given that  3 edges are removed from a graph G without removing any vertices the…

Q: b) Graph the following trigonometric function for the interval 0 ≤x≤ 2: y=2 sin(x)

A:

Q: Use the graph method to apprroximate the root of f(x) = x³ + 3x-5, and use the provided graph paper.

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

Q: 4. Solve cos x = cos 2x for the interval x E

A:

Q: Determine the partial differential equation by eliminating the arbitrary  function from the…

A: To Determine: The partial differential equation by eliminating the arbitrary function from the…

Q: 2. y Insin(x-A) +B; y″ + (y')² +1=0

A: What is Differential Equation A differential equation is an equation that involves the derivatives…

Q: Example 19.18. Find the cube i Argund diagram A TutorBin

A: We have to find cube roots of unity and then we need to show that these roots will form an…

Q: Find a formula for the power series of f(x) = 2 ln (1 + x), −1 < x < 1 in the form Σ an. n=1 2 1 + x…

A: Given function is ,               f(x) = 2 ln(1+x)  Power series :  Power series of a function…

Q: a. Let a,ber with a<b, let f: [a,b]→R be twice continuously differentiable, and assume that there…

A: From the given statements option "d"  is true statement according to the equations...

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A:

Q: 2. Use the Newtons method to find the root of x-cos.x=0 correct to 3 decimal places starting with x…

A:

Q: Given that " In (1) converges, does [.. converge or diverge? In(n) 1 (²+5)² A. Diverges B. Cannot be…

A: Let ∑pn and ∑qn are two series such that pn≤qn. If ∑qn is convergent, then ∑pn is convergent.

Q: 1. Below function is defined for one period 1 10 99 X 1 10 f(x) = { -9x + 9 - 10 ≤ x < -1 - 1<x< 1…

A: hi!Thank you for your question.As per guidelines we can solve one question at a time in case of…

Q: (3 Find ³√3+4i

A: Root of a Complex number: Like real numbers, nth root of complex number can also be determined. To…

Q: Application & Communication #Using the key features of rational functions, fill in the blanks. 2x-1…

A: Given function is fx=−2x−1x+4. Domain:- The domain of the function is the set of input values for…

Q: A medical test has been designed to detect the presence of a certain disease. Among those who have…

A: (a) Construct a tree diagram for the above information.

Q: Q. 2. a) Find the limits of the following functions: 1. ii. sin 2x lim: x-02x²+x √x² +12-4 lim X-2…

A:

Q: Find the value of 2 32 tim (22 (1 - cos (2) - cos (4) + cos (2) cos (=))} x →0 8 X

A: Sol:- limx→032x81-cosx22-cosx24+cosx22cosx24Expand…

Q: Which of the following satisfies the statement f(x) is O(g(x)) when r5 log(x+1) +16x²? -5x3 = g(x) =…

A: Given that fx=x5logx+1-5x3-2x33+16x2 Now, fx≤x5x5x3+2x33+x3=x35+2x33+x3=x33+2x33+x3=2x3

Q: 5. (a) Suppose 1 and Xn+1 = 2 Show that {n} converges and find the limit. X1 for all nEN.

A:

Q: y″” = 8(t — 5), y(0) = y′ (0) = y” (0) = 0, where & is impulse function.

A: Given : y'''= δt-5    ,  y0=y'0=y"0=0 To Find : Solution by Laplace transformation .

Q: (b) d²y dy Find the solution for cos(x) ² − (1 + x²) dx − 2xy = 12 with the conditions - dx² dx 1+x²…

A: Given cosxd2ydx2-1+x2dydx-2xy=11+x2y1=-1, y2=2, h=0.25`

Q: Intelligence as measured by IQ score = 136 is best described as O Nominal Ordinal O Interval O Ratio

A: To choose correct option for given question

Q: The slope of the 4.0 kN force F is specified as shown in the figure. Express F as a vector in terms…

A:

Q: Analyze the following identities. a) cos¹0 - sin¹0 = cos 20 COS b) (sin x + cos x)² = 1 + sin 2x

A:

Q: 8. xyzx +2y³ (z, = 1

A:

Q: b) Graph the following trigonometric function for the interval 0 ≤ x ≤2: y = 2 sin(x)

A: Sol:- Before plotting , some information about graph :- Periodicity of 2sinπx:  2Domain of  2sinπx,…

Q: Consider the rectangles D = [0, 3] × [0, 4], D₁ = [0, 1] × [0, 4], and D₂ = [1, 3] × [0, 4]. If you…

A: Given that the function f(x,y) satisfy  f(x,y)≤4 on D1  and f(x,y)≤-2 on D2 and we want to find…

Q: Problem 3. For real numbers x, we defined [z] as the unique integer such that [2] ≤ x < [x] +1.…

A: Let, x be a real number. Then the greatest integer function [x] as the unique integer, is defined as…

Q: QUESTION 2 (a) Two impedance impedances Z₁ = (8+6j) and Z₂ = (3-4j) are in parallel. Z₁Z₂ Z₁ + Z₂…

A: Part a We have: Z1=8+6jZ2=3-4j So,…

Q: The line of action of the 2690-lb force runs through the points A and B as shown in the figure.…

A: The slope: m of a line that passes through the points: x1, y1 and x2, y2 is calculated using the…

Q: Sides of a Triangle are in the ratio of 14 20: 25 and its perimeter is 590cm. Find its area.

A: The perimeter(P) of a triangle is calculated using the formula: P=a+b+c. The area(A) of a triangle…

Q: 7. dt Scientist has observed that a small colony of penguins on a remote Antarctic island obeys the…

A: As per the question we are given a population growth model of penguins as : dP/dt = rP Where P is…