Solve au_a²u əx² Ət __U(x,0) = = " 0 0, subject to the conditions U(0,t) = U(6,t) = 0, Interpret physically. 1 if 0

Q: #1 ом Your y" - 47² +47 = 3e solve: Show work Hint. You may need to modify twice

A:

Q: Maximize 3x1+2x2+4x3 subject to  x1+x2+2x3 = 0

A: The given LPP is  Maximize Z = 3x1+2x2+4x3subject to x1+x2+2x3≤42x1+3x3≤52x1+x2+3x3≤7x1,x2,x3≥0 Add…

Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

A:

Q: find the amount of a principal of ₱25,000 if the given periodic rate i=0.1025/12 and total…

A:

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A:

Q: 9) Check whether the vector field F = (-cos x cos y, sin x sin y, - sec² z) is a gradient vector…

A:

Q: x² 11) Find a parametrization of the surface S which is the portion of the cone - + 25 25 and z = 3.…

A:

Q: Can we apply Maclaurin series expansion for hyperbolic trigonometric functions? why or why not?

A:

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A:

Q: Q1: for the position vector cos³ (t)i + sin³ (t)j, 0<t</2. Find the vectors T, N, B and the length…

A:

Q: Evaluate the given integral along the indicated contour C. Jo 92² ² dz, where Cis z(t) = 3 cos³(xt)…

A:

Q: Use the method of reduction of order to find a second solution of the differential equation t'y" -…

A:

Q: If* f(x) = xe, then Newton's formula has: (A) Xn+1 (B) Xn+1) (C) Xn + 1 (D) Xn + 1 Xen Vehicle-1…

A:

Q: 11 3e²x + x sinx -47'+44= 3 e²x

A:

Q: B. Evaluate sin z z²+j2z dz, C the boundary of the square with vertices +1, tj clockwise.

A: Evaluate the integral ∮Csin zz2+j 2z dz, where the path C represents the boundary of the square with…

Q: Evaluate the given integral along the indicated contour. y = 1 / ₁ 1<t<4 Izl² dz, where C is x = t²,…

A:

Q: 5. (16 points) Let A = [13¹], B = [-1¹ 63], and C = [29]. Compute each matrix sum or product if it…

A:

Q: 1. Which of the following show the correct angle and direction of rotation for the figure below?…

A: Given: A figure, To find: Which of the following show the correct angle and direction of rotation…

Q: x²y”+ (−3) xy' + 25y = 6x²

A:

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

A: Given: Values of f(x), g(x), f'(x) and g'(x) in the table below: x f(x) f'(x) g(x) g'(x) 1 4 3…

Q: 2. The population of prey in a predator-prey relation is shown in the graph below. Time is in years…

A:

Q: This is impossible to read there is no script and no way of knowing what this says. Can somoene…

A:

Q: Q.5 Consider the Sturm-Liouville problem d x=(xy -(xy')+(2-1)y=0, y'(1) = 0, y'(e²) = 0 a) Find the…

A: We have to find the eigenvalues and eigenfunctions of the given Sturm-Liouville problem.

Q: 5. Prove that the set of points at which sequence ef measurable real-valued functions converges (to…

A:

Q: Question 1. Solve the following initial value problem: 5ux – 3Uy 2u = 0, u(0, y) = cos y.

A:

Q: Use the table of Laplace transforms to find the Laplace transforms of the following functions. cos²…

A:

Q: 2. Let p,q and r be the propositions p: Grizzly bears have been seen in the area. q: Hiking is safe…

A: Given- Let p, q and r be the propositions  p: Grizzly bears have been seen in the area. q: Hiking is…

Q: อ พ พ 2 de 3 dxdy + 2y tanw = 0

A:

Q: 1 10. Rotate the region bounded by y=y=9, x = -2, x = 3 about the x-axis.

A: Note: Volume V of revolution about the x-axis is given by V=∫abπ y2dx .

Q: Find 0, given sin'0 - 0.2 sin0 -0.01. (Give your answers correct to 2 decimal place).

A:

Q: Use the parameter variation method to solve this problem. Write the solution in y=f(x) form. x²y" +…

A:

Q: Morgan loaned $3,100 to Rolf at a simple interest rate of 0.65% per month. What was the  term of the…

A:

Q: At the Find the moments when the two distance, given vectors of velocity and acceleration are…

A: The given vector is R→t=2 i^+5 cost j^+3 sint k^ ,   0≤t≤π ....(1) To find: the moments of the…

Q: Grace and Hannah are both driving along the same highway in two different cars to a stadium in a…

A: Grace and Hannah are both driving toward a stadium with speeds of 40 miles/hr. and 54 miles/hr.…

Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

A:

Q: The following cyclic subgroups are all isomorphic: the multiplicative group (i) in 1)) or. C, the…

A:

Q: (a) Evaluate the integral: k = Your answer should be in the form kn, where k is an integer. What is…

A:

Q: The order is for Erythromycin suspension 0.3gm po. On hand is a vial of 8gm Erythromycin for oral…

A:

Q: Solve the questions given below using the Fundamental Theorem of Calculus. cos a 1 dt, where g(x) =…

A: Introduction: When we perform differentiation of a function that is represented under the integral…

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: The given problem is to find the area between the given regions cardioid and the given circle. Given…

Q: H.W: Evaluate the integral: 1. √2 3y 8-x²-y² S 0 0 x²+3y² dzdxdy

A: Sol ∫02∫03y∫x2+3y28-x2-y21dzdxdy

Q: Using Gauss' theorem to calculate the flow of the vector field 3x3 F: F (x, y, z) = (x^2z, 2x^2,…

A: As per the question we are given a vector field F(x, y, z) and we have to use Gauss's Theorem to…

Q: Use Stokes' Theorem to find the line integral [((x² + x + 2y²)i + (y + z³)j + (z + 2x²)k) · dr where…

A: To Evaluate: The integral ∫C(x+2y2)i+(y+z2)j+(z+2x2)k·dr. where C is the boundary of the triangle T…

Q: 6. Use spherical coordinates to evaluate SLESE + y² + 2² dzdxdy.

A: The given problem is to evaluate the given triple integral using the spherical coordinates. We have…

Q: 11-x 1 SS S I dydzdx 00 x+Z 2.

A:

Q: (6x5)5 New Problem Use properties of exponents to simplify the expression as completely as you can.…

A: Introduction: The properties of the exponents are given by, Product rule: ax×ay=ax+yPower rule:…

Q: 4. If L is a Continuous function on H, then unique YEH such that L(x)=(x,y). уєн there is a

A: Given that L is continuous on H. To show: y is unique in H.

Q: 1. XYZ, Inc., is a small firm that produces a variety of chemical products. In a particular…

A:

Q: Q6: Find the outward flux generated by the field F=zk across the hemisphere x² + y² + z² = 3, z20.…

A: The given problem is to find the outward flux generated by the given vector field across the given…

Q: The graph below represents a cosine function. Which of the following could NOT be used to represent…

A: Given,  Cosine wave form is given