4. Determine the perimeter and area of the triangle whose vertices are at the origin and the x and y-intercepts of the line are = X-6 y+8 3 -2

Q: [20] (3) GIVEN: a>0, a constant, the solid cube, 0 ≤ x ≤ a W = •{(2,31,2) and the vector field, F =…

A:

Q: Find the vector x determined by the given coordinate vector [x] and the given basis B. B =…

A:

Q: Upload answer sheets ô²u ô'u Ôx² ây Solve the elliptic equation = 0 over a square region of side 4.…

A: Given pde with conditions:

Q: Problems In each of Problems 1 through 11: a. Seek power series solutions of the given differential…

A: We are given: y"+xy'+2y=0

Q: Find the monthly house payments necessary to amortize the following loan. Then calculate the total…

A: To calculate the monthly house payments necessary to amortize the loan, we can use the formula for…

Q: Please give your answer to at least 3 decimal places. It is estimated that 15% of all CIT students…

A: To calculate the probability that none of the 6 students in the sample cycle to college, we need to…

Q: Find the specified change-of-coordinates matrix. Let B and C be bases for R², where Find the…

A:

Q: For the differential equation (x² − 36)²y″ + (x − 6) y' + y = 0 - x = -6 is a x = 0 is a x = 6 is a…

A:

Q: 2. Consider the iterated triple integral 2₂ (b) Sx²+²xz dz dx dy in Cartesian Coordinates. Sketch…

A:

Q: 1. Determine if the following sequences converges or diverge. If the the sequence converge determine…

A:

Q: The linear transformation is given f: R³ R³: (x,y,z) →ƒ(x,y,z) = (az, by, cx), a,b,ceR. If a=c, a ±…

A:

Q: Find the LU factorization of A = X1 140-2₂] = -6 -6] [2] 3 A = x1 X2 || || 11 -12 3 -6 4 -6 and use…

A:

Q: How do I set up (not solve) the integral in spherical coordinates to find the volume by the cylinder…

A: Here the cylinder is given by 1≤x2+y2≤2. Here, the cone is z=x2+y2. Here, the integral has to be set…

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Anu .graph of the…

A:

Q: Step1 a) The volume, V (in liters), after time t (in minute modelled here as V(t) = 5000(20 - t²)

A: The volume, V, in liters that remains after a time t in minutes is Vt=500020-t2 We have to find how…

Q: y"+y = 3 sin(2t) + t cos(2t) 2 mtupoy

A:

Q: (b) U = {q(x) € Z3 [x] : x²+x+1 is a factor of q(x)} in Z3 [x].

A: As asked we shall solve only sub-part b

Q: Find the general solution of the homogeneous system below. x1 + 2x2 3x3 = 0 4x1 + 7x29x3 = 0 -x1 -…

A: System of the equation: x1+2x2-3x3=04x1+7x2-9x3=0-x1-2x2+3x3=0 To Find: The general solution of the…

Q: In each of Problems 17 through 19, find the Laplace transform Y(s) = Lly) of the solution of the…

A: y''+4y=1,0≤t<π0,π≤t<∞ y0=1,  y'0=0 To Do: We have to find the  Laplace transform Ys=Ly of the…

Q: Find all the complex cube roots. Leave your answer in polar form with the argument in degrees.…

A: Given: The complex number is given by 23+2i. To find: We have to find all the complex cube roots of…

Q: For the following amount at the given interest rate compounded​ continuously, find​ (c) the time to…

A: A is the final amount =$17,000 P is the principal amount =$5,600 r is the interest rate =3.5%

Q: Consider the following Phillips Curve πt = [(1 − 0)π + (m + z)] + 0πt-1 aut (theta) can get values…

A: The Phillips Curve equation provided is a variation of the New Keynesian Phillips curve and it…

Q: Find the Taylor polynomial T2(x) for the function f(x)=In(1+x) based at b=0. 1.2 2 T₂(x) = x- Use…

A: Here given function  f(x) = ln(1+x) Now to find  T2(x)

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

A: We shall use the given figure to solve the problem. To find the coordinates of c,w,x and y, we have…

Q: (1) A subset W in a vector space V in R³ is given by W = * = { u = ( ² ) [(x + y)² + 2³² = 0 } ₁ In…

A: Let  V(F)  be  a  vector  space  over F.Then, a  non-empty  subset W of V is a  subspace of V iff…

Q: C: Prove that the linear map T(x1, x2, x3, x4) = (2x2, 3x3, 4x4, x1) is an isomorphism of R4 to…

A:

Q: A certain restaurant prepared meals during the pandemic for the first-responders. If they prepared 4…

A: Let the number of meat meal prepared is x.The number of spaghetti meal will be=4x7According to the…

Q: 0 ≤t < 1, y"+y=<2-t, 1 ≤ t < 2, y(0) = 0, y'(0)=0 0, 2≤t < 8;

A: Given: The differential equation is given by y''+y= tif   0≤ t&lt;12 - tif   1≤ t&lt;20if   2≤…

Q: /y=f₂₂//y=f(x) 31 y=f 10 +1 F LFL LI Fr L T+411 L T +41- = 70 77 +1-1-T +4-1-T הוזחוזח חוזה LLJ I I…

A:

Q: Q6. Use the Bisection Method to estimate 3√11 (cabe root of 11), to a tolerance of ε = 0.005 E…

A: Numerical analysis

Q: B: Let T be the projection on W₁ along W₂ b) Prove that W₂ is the Nullspace of T.

A:

Q: f) Show rigorously that if f(x) = cos x then f'(x) = sinx. You can use without proof that lim sin a…

A:

Q: 1) Find the general solution of the homogeneous system below. x1 + 2x2-3x3 = 0 4x1 + 7x29x3 = 0 -x1…

A: The homogeneous system of equations x1+2x2-3x3=04x1+7x2-9x3=0-x1-2x2+3x3=0 Augmented matrix…

Q: many black balls are need

A: The correct answer is: 200      N.B: For nth term, we need 2n black balls.

Q: How do I find the area of the region bounded by the curves given in parabolic coordinates by u = 1,…

A: The area of the region bounded by the curves given in parabolic coordinates by u = 1, v = 1, u = v…

Q: Find the vector x determined by the given coordinate vector [x] and the given basis B. 8) B=.…

A: Given basis is B = 1-3, 01   and the coordinate matrix of the vector x with respect to this basis B…

Q: Prove that If f is holomorphic on D(0, 2), f(0) = -i and |ƒ(z)| > 1 on the unit circle then f has at…

A: It is given that f is holomorphic in the disc with centre 0 and radius 2. So, the function f is…

Q: 250 The weekly average costs, in dollars, of the We-Are-Drones is given by C = +43+ where 33 where a…

A: For given weekly average cost function and and price for per drone produced we have to find a), b),…

Q: In each of Problems 17 through 19, find the Laplace transform Y(s) = C{y} of the solution of the…

A: The initial value problem is:y''+4y=1,0≤t&lt;π0,π≤t&lt;∞ y0=1,  y'0=0 To Find:We have to find the…

Q: Action: Create a net of a three-dimensional solid. Cut a circle into smaller and smaller segments.…

A: Actions :Create a net of a three-dimensional solid.Cut a circle into smaller and smaller…

Q: Optimize the function f(x,y) = 4x3 + y2 subject to the constraint 2x2 + y2 =1 using the method of…

A:

Q: What is the difference between the measure of an arc and arc length? Explain. A. The measure of an…

A: To Explain: The difference between the measure of an arc and arc length.

Q: ち, 0 ≤t < 1, \19. y'+y=<2-t, 1≤t<2, y(0) = 0, y'′(0) = 0 0, 2≤t < 8;

A: Given: The differential equation is given by,       y''+y=t,          0≤t&lt;12-t,    1≤t&lt;20,…

Q: Math 267 Compute Cone the Surface Area of the 2² = x² ty ² where 1≤2=4

A:

Q: Find two linearly independent solutions of 2x²y" - xy' + (-1x + 1)y=0, x > 0 of the form y₁ = x¹(1 +…

A:

Q: Locate the centroid of the shaded area. Set b = 0.30 a. y b Answer: a (x, y) = (i i ) a

A:

Q: 7. Let T: R³ → R2 be given by T(z. y, z) = (x + y, z-y+z). (a) Find the matrix of T with respect to…

A:

Q: There are 80 people protesting the destruction of the rain forests. There are 34 ​males, 21 of whom…

A: There are 80 people protesting the destruction of the rain forests. Now, there are 34 males, 21 of…

Q: Find the absolute maximum and absolute minimum of the function f(x, y) = 2x³ + y²¹ on the region…

A:

Q: Find the equation y = ßo + B1x of the least-squares line that best fits the given data points. 15)…

A: Here we have to find the equation of least square using given data points.