4. Consider the set R of real numbers and let * be the operation on R defined by a*b=ab-2a. Find a*(b*c). (Note: Type the answer WITHOUT space. For example, if the answer is bc+2ac-b, then type bc+2ac-b.) Your answer

Q: By considering different paths of approach, show that the function below hile no limit as…

A:

Q: Consider the following optimisation problem min f(x, y) = x + y − x2 subject to x + y ≤ 1 x ≥ 0, y ≥…

A:

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: Let (X, T) and (Y, T₁) be two topological spaces and let f be a continuous mapping of X into Y. O…

A:

Q: WRITTEN ONLY PLEASE FOR

A: Given,      ∫032-x+xdx

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: Description of task. 7. This is a method which involves using an iterative formula. You must…

A:

Q: 2. Rotate the coordinate axes to remove the xy-term. Then identify the type of conic and sketch its…

A: (2)  (a) the given equation is x2+4xy-2y2-6=0. Task: To rotate coordinate axes to remove the x-y…

Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw respect to t (d). with x = cost…

A:

Q: 8. Using the Runge-Kutta method of the fourth, solve y" = y + xy', y(0) = 1, y'(0) = 0 to find…

A: We take y'=z the Given equation is y''=y+xz,y(0)=1,y'(0)=0,y(0.2)=?…

Q: PLEASE ANSWER THIS USING YOUR OWN ANSWERS. DO NOT COPY ON INTERNET. IF YOU SEE THIS QUESTION AGAIN,…

A: Given,         limx→0+xsinx

Q: 1- Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy -2y=x 3 dx dx

A:

Q: A particle is moving along the path given by R(t) = (sin(ln t), cos(ln t), √√3 lnt). (a)…

A: Introduction: The formula of arc-length of the polar curve from a to b is given by,…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: An integer programming (maximization) problem was first solved as a linear programming problem, and…

A: We have to find the correct option for the solution to the given problem.

Q: Find. y y = sinx + TT sinx² sinx4 sinx6 + + 2! 3! 4! + ****** sinx2(n-1) n!

A: As per the question we have to find the closed form expression of y as a function of x And we will…

Q: If F(x)= et dt, find F(1) and F'(x). ez 12

A: F(x)=∫exeet2dt Fundamental theorem of Calculus: If f is continuous on [a, b] and F(x)=∫axf(t)dt then…

Q: It has been shown that if m divides n, then F is a factor of F. Show that this is true for the…

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

Q: Evaluate ²²** y² sin zº dx dy dz

A: To Evaluate: ∫01∫0z2∫03y2sinz6dxdydz.

Q: Find the interval of convergence for each power series. Include endpoint convergence tests when…

A:

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: Use the fourth-order Heun and Runge Kutta methods to approximate the solution to the problem dt = 2²…

A:

Q: 11. Let R and R' be two rings. A mapping f: R→R' is called an antihomomorphism, if f(x+y)=f(x) +…

A: Let x, y ∈ R. Then (g)(x + y) = f(g(x + y)) = f(g(x) + g(y)) = f(g(x)) + f(g(y)) =(fg)(x)+(fg)(y),…

Q: Set up the integral that gives the volume of the solid enclosed between the curves y=1/2x, x =2, x=4…

A:

Q: Use the trapezoidal rule with n = 4 to approximate S 0.8 0.7 0.6 0.5 1 1.5 2 2.5 3 35 4 4.5 -0.1…

A:

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given,Integral,I=∫021xdxTo find: Value of the given integral using any of the numerical methods

Q: 1 Consider the series (-1)-¹ Σ(−1²+ (x+1)* where b is a given non-zero constant. Find the nb2n 1=0…

A: Infinite series: An infinite series is represented by ∑n=0∞ anx-cn, where an is the coefficient of…

Q: List the members of these sets, x | x is the square of an integer and x < 100.

A:

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ − sin 2x + 1,…

A: To find: Work which is required to be done when force F is applied to move the box from x=1 to x=3.…

Q: II. Solve the following problems. Enclose final answer. 4 4. Given z x-y, Find az/ax x+y =

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: e 1. If F(x) = [ dt, find F(1) and F'(x).

A:

Q: (-X, -1 < x < 0 Find the Fourier series expansion of the function f(x) = x, 0 < x < x

A: We have to find the Fourier series expansion of the given function.

Q: II. Solve the following problems. Enclose final answer. 5. Given z arctan = (-), 5 Find az/ay

A:

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Introduction: A rate of chage is the ratio of two related quantities in different units in…

Q: The number of bacteria in a container is given by an equation, Q(t)= Qoekt, where t is measured in…

A:

Q: (0,4) C R (-2,0) (-1,0) (1,3) (c) Use the WASHER METHOD to set up a (sum of) definite integral(s)…

A: Divides the region into two subregions.

Q: 4. Using Laplace transform methods, solve for t≥ 0 the following simultaneous differential equation…

A:

Q: 1. How many corner points are there in this LP problem A. 1 B. 2 C. 3 D. 4   2. Which of the…

A: Introduction: Linear programming is a mathematical technique for optimising operations given…

Q: 5. Prove: if limx→a f(x) = L, and limza g(x) = M, then lim (f(x) + g(x)) = L + M. x-a Definition.…

A:

Q: Find the solution of the equation a²z a²z + cos y V ax² dy² which tends to zero as x→∞ and has the…

A:

Q: (c) A third tower is located at Heights Barn Hill. Let DEF represent the points on the map for…

A:

Q: OLee's family is hosting an end-of-summer burger bash. His parents buy a family-size package of…

A: Given- Lee's family is hosting an end-of-summer burger bash. His parents buy a family-size package…

Q: What single payment in two years would replace a payment of $18,650 due one year ago and a payment…

A: The compound interest formula is defined as, A=P1+rnnt where, P=principal amountr=interest…

Q: M8 (2-3x)"

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

Q: [.gl g(x,y) de L L is curve arc y = 1 x², from (0,0) to (1,0.5) and g(x,y)=x 2

A:

Q: Attachments (n-1)! 69.70.71.....(68+n) If Σ Find the value of x+y.. X y

A: Solution: As we have,  ∑n=0∞n-1!69×70×......68+n=xyRequired to find x+y. Here we use the concept of…

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: If F(x) = ["* e¹² dt, find F(1) and F'(x).

A: If y=f(x), then x is called the input, and y is called the output of the function.  The derivative…

Q: 4- Evaluate the following integral * sin 0 de -5\32 -5√π\32 O 5√n\32 5\32 KIN 0

A: Use Walli's formula to evaluate this integral as in next step.

Q: Let (X, T) and (Y, T₁) be two topological spaces and let f be a continuous mapping of X into Y. If f…

A: The answer is in image below: