If AABC having vertices A(a cos 8₁, a sin 8₁), B(a cos 0₂, a sin 8₂), and C(a cos 03, a sin 83) is equilateral, then prove that cos 8₁ + cos₂ + cos 03 = sin 0,+ sin 0₂ + sin 03 = 0.

Q: a) Describe the curve obtained when we make y = 2 and z = √2 . af b) Represent on this curve the…

A:

Q: 2. Find the general solution of the differential equation. Then, use the initial condition to find…

A: Given differential equation y'-4y=6e4x Initial value is y0=0.

Q: You bail out of the helicopter ripcord of your parachute. Now k = 1.6 your downward velocity…

A: Given that,                   dvdt=32-1.6v,    v(0)=0.

Q: 2. Use Cauchy's Integral formula, Evaluate the foll D I - & tantz Z² C: 171=1

A:

Q: write these numbers in polar form for the complex setup: (1,-1,i,-i)

A: We know that , Complex numbers are of the form z=x+iy, where x and y are real numbers. Also Polar…

Q: 1 400 000 275 000 2 181 250 110 938 58 203 depicts the value (in Rands) of an automobile at…

A: Since there are multipart, so here find the solutions of part (a) and polynomial of part (b) and…

Q: Eliminate the arbitrary constants from y = method and determinant method. C₁e* + c₂e-* by the…

A:

Q: let T be a linear operator on a finite- dimensional vector space V, and let f(t) be the…

A: Given that T be a linear operator on a finite-dimension vector space V, and f(t) be the…

Q: if y(x) is the solution of the differential eqution xdy - (y² - 4y) dx = 0 for x>0, y(1) = 2 and…

A:

Q: . In Problems 15 and 16, verify that a · (a × b) = 0 and b. (a × b) = 0. 16. a = ⁄i − ¹⁄j, b = 2i −…

A:

Q: 2. Use Cauchy's Integral formula, Evaluate the foll D I - & tantz Z² C: 171=1

A:

Q: What are the Elementary Row Operations for homogeneous linear system?

A: In this question, we have to determine the Elementary Row Operations for homogeneous linear system.

Q: Sketch the direction fields for the differential equation y' = y − x = f (x, y), then sketch the…

A: What is Slope Field: Slope fields, also known as direction fields, are graphical depictions of the…

Q: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y =…

A:

Q: Figure Y Part A Determine the moment of inertia of the composite area about the axis Set a = 250…

A:

Q: Solve the initial value problem. nt 5y' – 2y = e-7, y(0) = a Let ao be the value of a for which the…

A: We will find integrating factor of equation.

Q: Angle of a line with the positive direction of the x-axis is e (e is a cute). The line is rotated…

A:

Q: Let f(x)= Ax² + Bx + C where A, B and C are real numbers. Prove that if f(x) is an integer whenever…

A:

Q: is f(x) = cos(wt) odd, even, or neither? show graph and solution

A: Let us consider a function y=f(x) then, The function is said to be even function if f(x)=f(-x). The…

Q: Prove that ax² bx C + + (x − a) (x −b) (x −c) (x-b) (x-c) x-c -+1 x³ 3 (x-a)(x-b)(x-c)

A:

Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

A: Given the region y=2-x2 and the line y=x in xy plane.

Q: Apply six decimal place rounding where applicable W 27 The equation f(x)=x²-18 = 0 has root near x =…

A:

Q: Needed to be solved B part only By hand solution needed

A:

Q: 04/A/ The mechanical system consists of two bodies of mass 1 on three springs of the same spring…

A: Given: The system of equations, y1''=-ky1+ky2-y1 y2''=-ky2-y1-ky2 Initial conditions: y10=1, y20=1,…

Q: 1. Estimate the volume of the following solids by Riemann sums m a) The solid lying below f(x, y) =…

A: What is Riemann Sum: Remember how, in single-variable calculus, we added the areas of rectangles…

Q: Q2: Find the convolution of the following two signals: X(n)-26(n) + 8(n-2) +38(n-3). h(n) = 2 (0;…

A: Sol

Q: 11. consider the following sets: U = {-5,-4, -3, -2,-1,0,1,2,3,4,5}, A = {x: x²= 25}, B =…

A: Introduction: If the components of a set can be arranged in perfect agreement with the set of…

Q: Find the values of x, y and z that satisfy the vector equation 1 3 ·A·B·0-0-0-0 x 3 +y -2 +2 1 = 1…

A: We want to find values of x, y and z which satisfy given equation.

Q: 3. Let R be the region bounded by the following curves. Use the washer method (slicing method) to…

A:

Q: Verify that if k is a constant, then the function y(x) = kx satisfies the differential equation xy'…

A: Given the differential equation  xy'=y for all x and ya=b

Q: Q6: Find the outward flux of the vector field F=(x²y+e'sin(y))i+ (x²+e'cos (y)) j through the right…

A: Given vector field is F=  x2y + ex siny  i + x2 + ex cosy j Curve r2=cos2θ

Q: The lecturer Aous used to drive his car early inorder to arrive and teach his students some…

A: Q2: Consider the provided question, We have to find the time that Aous start driving from the…

Q: If f(x) equal to (a) 1004 (c) 2007 4.t 4+2 2008 where x € Q, then Σ f(2009) is r=1 (b) 2006 (d) None

A:

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A:

Q: If x³y-xy³ =2 find y' and y" at x=1.

A:

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A:

Q: Consider the system. Foxy = X=Y+1=C Eg(x,y) = y=x²³²-1=0 For X₁₂₁= 1.1 and 4₁₂₁ = 2.1, we have Don't…

A:

Q: First-Order Equations. The series methods discussed in this section are directly applicable to the…

A: Consider the given differential equation, y'-xy=0 Let us consider that, y=∑n=0∞anxn Then,…

Q: Round off to two decimal place dy doc a) Let y = 6². Then X=4*0.5= b) Let go be the linear function…

A: (a) y = 6x       => dy/dx  = d/dx (6x)                          = 6x ln 6 [ln = log with base e]…

Q: as a definite integral. Express lim 81x i=1 2 - n In(1+ 2i n

A: What is Definite Integral: Definite integral is the sum of areas of all possible rectangles over an…

Q: CCSX-D erval [1.5, 2] DA

A: The given equation is 0.5ex-e-x+5 cos x =2 Consider the function fx=0.5ex-e-x+5 cos x -2

Q: Name sets with cardinality (a) 365, (b) 12, (c) 7, (d) 11.5, (e) 0, (f) 1024.  

A: Given: The cardinalities, (a) 365, (b) 12, (c) 7, (d) 11.5, (e) 0, (f) 1024. To name: The sets with…

Q: Find the sum of the degrees of the vertices of each graph in Exercises 1-3 and verify that it equals…

A: We know that, Degree of vertex is the number of edges passing through that vertex. We need to…

Q: ¿әрприоо

A:

Q: sketch the graph of the given function on the interval t ≥ 0. g(t) = (t − 1)u1(t)−2(t − 2)u2(t) + (t…

A: Given: The function is g(t)=(t−1)u1(t)−2(t−2)u2(t)+(t−3)u3(t). To sketch: The given function. The…

Q: Help asap!

A:

Q: S Worksheet 2- Math 101 (USE A PENCIL) 1) Shown in the table below are the one-way airfares between…

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

Q: 3. f(18) 22, f(19) 35, f(20)=60, f(25)=80 Prepare an overdetermined system using quadratic…

A: as per bartleby rules we have to answer only one question when there two different methods. so here…

Q: Chrome ework.aspx?homeworkId=633611865&questionId=1&flushed=false&cid=7113119&centerwin-yes Use the…

A:

Q: . Consider the statement: Let A, B ∈ Z. If 6|A and 10|B, then 4|(A2 + B2). (a) Prove the statement.…

A: 5. Consider the statement: Let A, B ∈ Z. If 6|A and 10|B, then 4|(A^2 + B^2). (a) Prove the…