The vector with length 4 and direction k is Di+Di+ j+ k.

Q: questions both b

A: Introduction: The formula of the line that passes through the points (x1,y1) and (x2,y2) is given by…

Q: V = M2x2 (IR) M = { A€ V A = A²} N = {AEV A = -A^²} Subset V = M let of the vector space V N prove…

A: To prove that V is direct sum of M and N V=M⊕N, we need to prove  V=M+Nand M∩N=0

Q: ves the volume of the solid that results when the region is revolved about the y-axis. l (b) Set up…

A: Introduction: When the axis of revolution is the plane region's boundary and the cross-sectional…

Q: The function f(x) = 250(0.65)" represents the amount of kryptonite left after n hours. At what rate…

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Q: 4. Consider the set R of real numbers and let * be the operation on R defined by a*b=ab-2a. Find…

A: We have  the Set R of real numbers and let * be the operation on R defined by a*b =ab-2a. Then we…

Q: Calculate the complex exponential Fourier coefficients for the signal shown below Note:- the…

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Q: By 28(1 + i√3) solve all of its z-values if it is raised to 14.

A: Solution : To find, 28(1+i3)14 =56eiπ3+2nπ0.25 where, n∈ℤ n=0,1,2,3 =2.74eiπ12+nπ2

Q: 2. Two fish species z(t) and y(t) are found to co-evolve according to the following model dX = (²32)…

A: We can solve this using given information

Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

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Q: variation equation, and use it to solv er tubing varies jointly with the leng ameter tubing costs…

A: Introduction: A variation is a relationship between one set of values for one variable and another…

Q: "The Big Six!" The Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent…

A:

Q: M8 (2-3x)"

A: Given: Series ∑n=1∞2-3xnn3n To find: Sum of given series.

Q: Question 4. Compute the density, the characteristic path length and global clustering coefficient…

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Q: Find the total areas of the shaded regia 47. y=x√4_7²

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let Us Assess Take your time and study the figure below. Show your solution in calculating its area.…

A: Let us consider the rectangle of length L and breadth B  The area of rectangle is obtained as Area…

Q: 63. Multiple Choice Let A be the region bounded by the graphs of y = 4√x, y = 4, and x = 0. What is…

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Q: 3. Let (1) be defined by 1, M-{br. 13152 and let F(x) be defined by F(x)=f(1) d. 0sxs2 & Find F(x).…

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Q: In a population of 200,000 people, 60,000 are infected with a virus. After a person becomes infected…

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Q: Find the value of x. 40 5x-2 55 x = [? ] 6x+6

A: Parallel lines separate the transversals into same proportions. So,  4055=5x-26x+6

Q: 3) USE GAUSSIAN ELIMINATION 2 -1 1 -1 0 13 0 A = 1 0 - 4 -2 0 1 -1 4 (ROW-ECHELON FORM/UTM) [LAST…

A: We have to find the solution to the given system using the Gaussian Elimination method.

Q: 2. Prove that lim ¹. 1 using the e-6-definition. x 4 x Hint: Consult the proof of lim z² = 4 from…

A: Introduction: The restrict of a characteristic is a essential perception in calculus and evaluation…

Q: 2. Find the area bounded by the curve ay² = x³ and the line x = 4 a. 3. Find the area of half an…

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Q: (b) Consider an object of mass m, dropped from some initial height and falling down towards Earth's…

A: According to the guidelines, we will solve first question only.

Q: Using the given data. Compute f"(1.8) at O(h2). X Y 1.0 2.9170 1.2 9.2005 1.4 20.5173 1.6 38.0675…

A: The difference table is  x y △ △2 △3 △4 1.0 2.9170             6.2835       1.2 9.2005…

Q: using appropriate calculus techniques, calculate furthest distance he could possibly travel on a…

A: This is a problem with the application of derivatives.

Q: [*f(x) dx = Given that $f's is 54 wha f(w)dw

A: Properties of Integral 1. ∫abf(x)dx=-∫baf(x)dx 2. ∫abf(x)dx=∫abf(w)dw

Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: VIMAAA ALUCDRAI ESCAPE B Function Bank b(x) = -5x² +18 c(x)==-11 e(x) = -x²-9x /(x)=-22-3x a(x) =…

A: The game is to find and fill values in each columns and rows of the matrix. A set of functions are…

Q: Consider the optimal control problem min fu(t) ² dt Jo subject to the conditions a' (t) = x(t) +…

A: As per the question we are given an optimization problem where we have ti find the optimal control…

Q: sin√√x +. +5 ; (x, y) = (0,0) Set f(x,y)= A ; (x,y)=(0,0) Find the value of A continuation f(x,y) at…

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Q: (x−7)(x−3)* Give a step-by-step e-6 proof that lim Q(x) = Q(2). #-2

A: Given function: Q(x)=52x+1x-7x-3 To show: limx→2Q(x)=Q(2) byε-δ method.

Q: Let f be a continuous function defined on the closed interval [a,b] and differentiable on the open…

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Q: 2. In each case, use the d'Alambert formula for the wave equation u(x, t) tt = u(x, t) xx to find…

A: Given: ux,tu=ux,txx To find: a) ux,0=hx,utx,0=0 b) ux,0=0, utx,0=hx

Q: Solve the following differential equations: dy 1.1 (x³ + y²)-(3xy²) X dx [Hint: Let y = vx].

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

Q: (d) Determine if the vectors w = [2 1 1] is in the row space of A 1 (e) Determine if the vector a =…

A: This is a problem from the linear transformation.

Q: Using the values given in Exercises 1 and 2, verify that b f*f* f(x, y) dy dx = f*f*f(x, y) dx dy. 1…

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Q: Use the root test to find the radius of convergenc n n Σ (m+-+²1) ² = xn 9n +4 n=1

A: Introduction: The radius of convergence of a energy collection is the diameter of the most important…

Q: dy + 2xy = 1 1- (x²1) dy dy dx

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

Q: Ava is raising money for a school trip by selling bags of chips and candy bars. The price of each…

A: To determine the solution of the given question first formulate an equation based on the given…

Q: 4. A population of squirrels is currently measured to be 500 squirrels. a. Write a function P(t) to…

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Q: Let the vector v have an initial point at (7, 8) and a terminal point at (1,7). Plot the vector V…

A: Give that the vector v have an initial point at 7,8 and a terminal point at 1,7.

Q: 4) USE THE 2 0 2 0 A 1 0 || GAUSS-JORDAN -3 0 -1 2 - 4 1 1 1 -3 -4 REDUCTION METHOD (SINE PROCEDURE)…

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Q: Find the area bounded by the curve y = x³ and (a) the lines y = 0, x = 2, (b) the lines x = 0, y =…

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Q: Pation ET The following shows a pattern made with matchsticks. Based on the pattern, what would be…

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Q: Solve the following wave equation using partial Laplace transform: a²ua²u + sinxx; 0≤x≤ 1, tz0 at²…

A: Introduction: In manage device engineering, the Laplace transformation is crucial. Laplace…

Q: number 14

A: Given, z1=3 cis 40°z2=5 cis 20°  The product of complex number is to be determined.

Q: 3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y =…

A: The region R is bounded by the parabola y=4-x2 and the line 3x-2y+3=0 and y=0.

Q: Determine the volume underneath the plane f(x, y) = 3-2.7x over the region R, which is bounded by…

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Q: r1 0 3 **³y² sinzº dx dy dz 0

A: We have to solve given problems: