Kindly solve must be handwritten..thank u A wedge is cut out of a circular cylinder of radius 4 by two planes. one plane is perpendicular to the axis of the cylinder. the other intersects the first at an angle of 30 along a diameter of the cylinder. find the volume of the wedge.

Q: Consider the linear system of differential equations, u' (t) = Au(t). Given that det (A - XI) = x² -…

A:

Q: - Let R be an integral domain, which is a subring of a field F. Let F' : {ab-¹ | a,b € R, b# 0}.…

A:

Q: (Saddle-Node Bifurcation.) Consider the system =x² + a y' = y, where a is a real parameter. Solve…

A:

Q: Let f be a differentiable function with the following values: X 0 1 f(x) 5 8 f'(x) 4 11 (a) After…

A:

Q: Create the initial simplex tableau. Minimize g = 6y₁ + 5y2 + 10y3 subject to 4y1+ y2 + 5y3 ≥ 6 3y1+…

A:

Q: lim cot2x · cot ot (1-x) x→π/4 4

A:

Q: 3 (b) maximize 5x1 +8x2 + x3 + 2x4 subject to minimize subject to 3x1 + 3x2 + 7x3 + 8x4≤ 15,…

A: Solution:Primal is  MAX Zx =   5 x1 + 8 x2 +   x3 + 2 x4 subject to   3 x1 + 3 x2…

Q: Prove that if A and B are orthogonally diagonalizable then so is A + B.

A:

Q: Suppose f: R → R is twice continuously differentiable. True or false: If f" (0) > 0, then the…

A: We have to check that whether the given statement is true or false.

Q: Under what condition does eat converge to 0 as t->infinity? a = 0 a > 0 a < 0 a <= 0

A: (.)    Let          f(t) =  ea t For what condition  ea t  converges to  0 as t→∞

Q: Let T be the solid tetrahedron defined by x, y, z ≥ 0 and x + 2y + 3z ≤ 6. • Jff, z dv . Evaluate…

A:

Q: (2) Transposition.(a) Illustrate (AB) = BT AT by simple examples. (b) Prove (AB) = BT AT

A: We have to prove (AB) T = BT AT . By example and then by proving it for general.

Q: Let V be the set of vectors shown below. 1= = {[*] :x>0, y = 0} a. If u and v are in V, is u + v in…

A:

Q: Use Newton's method to find the second and third approximation of a root of starting with ₁ = -1 as…

A:

Q: Find the equations of planes that just touch the sphere (x − 1)² + (y − 4)² + (z − 2)² = 9 and are…

A:

Q: h(t)=t^2sin(3t) laplace transform

A: Given function is,                h(t) = t2 sin3t (.)  Some properties of Laplace transform :- (i)…

Q: Find the general solution of the given system. -1 1 X' = 1 5 X(t): 0 1 X 06-1

A:

Q: 8.6 Determine the loss elimination ratio for the distribution given here with an ordinary deductible…

A: To determine the loss elimination ratio for the distribution with an ordinary deducible of 5000…

Q: Solve for the general solution of the equation: 2y’’ + 4y’ + 200y = 0. Show all math steps.

A:

Q: 1. Answer the following for the matrix A = 1 2 -1 32 0 21 a. Find det(A) by expanding down the first…

A:

Q: Use induction to prove that the product of any three consecutive positive integers is divisible by…

A:

Q: The Merrilee Brokerage House studied two groups of industries (computers and petroleum) and rated…

A:

Q: Suppose that X is a continuous random variable with density function f(x). If f(x)=k for -3 ≤ x ≤ 2…

A: For f(x) to be a density function, we need      (i) f(x) ≥ 0      (ii)  -∞∫∞ f(x)dx = 1

Q: Minimize c = 2x + 2y + 3z subject to + z 2 100 250 y + z 250 x ≥ 0, y ≥ 0, z ≥ 0. (x, y, z): || 2x +…

A:

Q: J₁³ Let R be the rectangle defined by the inequalities 0 ≤ x ≤ π/2 and 0 ≤ y ≤ π/4. What is the…

A:

Q: 1. For the vector field F=, show that div(curl F) = 0. (Note that this is true for any vector field,…

A:

Q: Determine if the set of vectors shown to the right is a basis for R³. If the set of vectors is not a…

A:

Q: Prove by induction that (1)1! + (2)2! + (3)3! + ... + (n)n! = (n where n! is the product of the…

A: A mathematical proposition is given.Let P(n):1.1!+2.2!+3.3!+...+n.n!=(n+1)!-1.Here, P(1)=1.1!=1 and…

Q: Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 3x + 4y = 8x + 7y

A:

Q: 100 Calculate Σ3% ir.

A:

Q: 6. (a) Show that the set Z4 = {0, 1, 2, 3} is not a Field for the addition and multiplication mod…

A:

Q: Create a double integral (dont calculate) to determine the surface area of f(x, y) = Vi 7X 4 VENTA…

A: The given surface is f(x,y)=1-x24-y29. To Write: Double integral for the surface area of the above…

Q: Consider the plate bounded by y2 = 8x and x = 2 with density 8=2-x. 1. Sketch a graph of the plate.…

A:

Q: Use Green's theorem for the vector-field F and the curve C given in question 3. 2, and evaluate the…

A:

Q: Derive the Monge’s subsidiary equations.

A:

Q: Calculate the line integral of F Enter an exact answer. [F F. dr i = 8x7+ 6x7 along the path C given…

A:

Q: Suppose f: R → R is n-times differentiable, and co € R. True or false: There is a unique nth-order…

A: Given that, f:ℝ→ℝ is n-times differentiable, and x0∈ℝ. The given statement, there is a unique…

Q: Sketch the region of integration and change the order of integration. 5 √25 - y² L'₁ PX, 1 -5 f(x,…

A: We have to sketch the region of integration and change the order of integration.

Q: Exercise 2.8.3 Consider the boundary value problem for the deflection of a horizontal beam fixed at…

A:

Q: Use a power series centered at 20 = 0 to solve y"-y=0.

A:

Q: дz əs z e cos(8), r = st, 8 = Use the chain rule to find and дz at 56 + to

A: It is given that, z=ercosθ ⇒∂z∂r=ercosθ ......................................as derivative of eax…

Q: The critical speeds of oscillation, λ, of a loaded beam are given by the equation:  λ3 − 3.250λ2 + λ…

A: Here, the given by the equation: λ3-3.250λ2+λ-0.063=0. To find: The value of λ which is…

Q: 6. Evaluate the double integral /drdy where R is the (finite) region in the first quadrant between…

A:

Q: 4. Consider the sequence (an)n≥1 that starts 1,3,5,7,9,... (i.e., the odd numbers in order). (a)…

A:

Q: Consider the area under one arch of the curve y(t) = 8sin(bt) for t≥0 where b is a positive…

A:

Q: If the change of variable |ə (x, y) d(u, v) | v v³ (²) = (²+²) u at the point where (x, y) = (2, 3)?…

A:

Q: 3. Assume nanz-¹ + 2[ant" = 0. n0 n=1 Find the general formula for a, and determine the closed form…

A:

Q: Find the area of the portion of the cylinder x² + y² = 4 bounded above by the plane x+y+z = 5, below…

A:

Q: 1 − v2), 0 ≤ u ≤ 2π, v ≥ 0.

A: The surface S is a portion of a paraboloid that opens downwards, truncated at its base. To see this,…

Q: 4. Prove that the following is another drawing of the Petersen graph.

A: