Question 1 Consider the points A(2,-1,0), B(3, 0, -2), and C(0, -3, -1). (a) Find the equation of the sphere with center C and radius |AB|. (b) Does the sphere in part a) pass through the point B? (b) Find the parametric equations of the Line that passes through the point B and is perpendicular to both vectors = AB + AC and = BA + AC.

Q: he x – axis.  256/3

A: Introduction: The formula given as, Iy=∬Rx2ρ(x,y)dA

Q: Given dy² c cos x + D sin x Cxe-* +4-5y = 2e*, the correct y, is (solve) Option 2 O Ce-x Cex Option…

A: given problem is  d2xdy2+4dydx-5y=2e-x clearly there is misprint in the first term it should be…

Q: The table shows the rate of change of volume V with respect to time t (in liters per minute) of a…

A: There are four subintervals with unequal Length.

Q: Lactulose 20g PO three times a day is ordered for hepatic encephalopathy. You have on hand Lactulose…

A:

Q: Evaluate the given integral along the indicated contour. 6612² (z + 6) dz, where C is x = 2t, y =…

A:

Q: Question 3 Solve: y" - 3y' - 4y = 3e2t + 2 sint Particular Solution: Yp = A e²2t + B cost + C sint…

A: Explanation of the answer is as follows

Q: If a loan ₱120,000 is to be amortized for 2 years at 12.5% interest compounded monthly, how much is…

A:

Q: $. 12-1 (2²+-)(2-2) 1-4z+6z² 1 -dz .d

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: The intervals on which f(x) = x² In x is increasing and decreasing, and the intervals of concavity…

A:

Q: Construct a graph with vertices L,M,N,O,P,Q that has an Euler circuit and the degree of P is 4. What…

A:

Q: 9. Evaluate the integral = R from z₁ = 1 to Z2 = -1. where C is the above half of the circle

A:

Q: Q3) Use the Newton-Raphson Method to estimate the root of f(x) = x -2sin(x²), employing an initial…

A:

Q: Solve the linear programming problem by the simplex [yz-2x+34 method. Minimize 10x + 4y subject to…

A:

Q: Fast

A:

Q: EX@using the Newton-Raphson to finda root of the eqution f(x) = COSX -X = 0 ㅠ Xo 2 € = 10²

A:

Q: The table gives the values of a function obtained from an experiment. 6 8 12 -2.5 X f(x) Estimate 18…

A:

Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/² over the solid region S where z is…

A:

Q: 8. Find the directional derivative off at the p in the direction of v = () of f(x, y, z)=x²exx, p =…

A:

Q: Use the Fundamental Theorem for Contour Integrals to evaluate the given integral. Write the answer…

A:

Q: 5 Use the "known Taylor series" (Table 10.1) to determine the sum of the series 27 23 25 33.3 35.5…

A: 5. The given series is 23-2333·3+2535·5-2737·7+.... To find: the sum of the series.

Q: Solve for the only positive value of x that satisfies the equation **-1 = -√(1-e-*) Using the…

A: Given that: xx-1=121-e-x Using a tolerance of 0.0001. Now solving, Let using the Bisection method,…

Q: In 1960, an earthquake with a magnitude of 9 on the Richter scale occurred in Chile. In 1994, an…

A:

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

A:

Q: Jack is an aspiring freshman at Ulern University. He realizes that ”all work and no play make Jack a…

A: Solution :-

Q: Solve for the two positive values of x that satisfies the equation e* = 3x² Using the following…

A: To obtain the solution of the equation f(x) = 0 use the following formulae. • Regula-Falsi method…

Q: 13) Parametrize the boundary curve of the surface given by r(r, 0) = (r cos 0, r sin 0, (4- r2)) for…

A: The parametric equation of the surface is given as follows: rr, θ=r cos θ, r sin θ, 4-r2, where…

Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

A:

Q: Which of the following is a potential function f for F(x, y, z) = (2x cos(yz). -x²z sin(yz) + 2yz?,…

A:

Q: se Newton's method to approximate all the intersection points of the following pair of curves. Some…

A: The equation in the form y=f(x) represents a curve in the xy plane. The point of intersection of the…

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

A:

Q: Question [ a) L b) [1 ¹: Evaluate If Show all your work. then find f(x) [(x+3)√x-3dx…

A:

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: :y² + z² — ² by first sketching at least three cross sections in each of the 4. Graph the surface 1…

A: A quadric surface is a graph of an equation in the three variables x, y and z in a three dimensional…

Q: Determine whether W = {a + 2x + bx²|a, b = R} is a subspace of P2.

A: Explanation of the answer is as follows

Q: Solve the linear programming problem using the simplex method. Maximize subject to ⒸA. The maximum…

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

A:

Q: construct a graph with vertices Q,R,S,T,U,V,W that has an Euler path and the degree of U is 1 and…

A:

Q: If F= 26i- zj+ xk , eviulate F×dr along the carv x=cost , y=Sint ,z=2cost for t=0 to t=1

A: The given problem is to evaluate the given line integral of the vector field over the given curve.…

Q: For each graph in Exercises 56-66, find a function whose graph looks like the one shown. When you…

A: To write: The equation of the function represented by the given graph. To sketch: The graph using…

Q: Find the maximum and minimum values of the function and the values of x and y where they occur. F =…

A: F=5x+36ysubject to 6x+4y≤354x+6y≤30x≥0, y≥0

Q: Find and simplify the difference quotient f(x)=x² + 4x-5 OA. 2x+h-5 2x² + 2x + 2xh+h² +h-10 h OB.…

A:

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

A:

Q: Can you show me how to verify this

A:

Q: Consider the initial value problem: Solution: y' = (y -0.01x²)² sin(x²) + 0.02x; y(0) = 0.4 y =…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 2x8. -6x5 New Problem Use properties of exponents to simplify the expression as completely as you…

A:

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

A:

Q: Which of the following statements is/are TRUE? I. Periodic function is a function that repeat its…

A: Explanation of the answer is as follows

Q: 8. Explain which rules of inference are used for each step. "Somebody in this class enjoys whale…

A:

Q: Why we use separation of variable method?why it is not applicable for ode?

A: To Explain: Why we use the separation variables method, and why it is not applicable for ODE's. As…