4. Verify that V X (aẢ) = (Va) XẢ + aV X Ả where Ả = xyz(x + y + 2) A and a = 3xy + 4zx by carrying out the detailed differentiations.

Q: #22

A: Step 1: Step 2:

Q: 5 Use the method of disks to find the volume of the solid that is obtained when the region under the…

A: Given: We are given the function:   y=x​5​ over the interval [4, 17].   The region under this curve…

Q: 4x-3 2. Determine the interval over which the function is continuous. x+4

A: Given function is: x+44x−3​This is a rational function and a rational function is continuous on its…

Q: For the volume of the region in the first octant shown in the adjacent Figure. It is bounded by the…

A: For the iterated integral in the order dz dx dy, the limits of integration are determined by the…

Q: 4. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.024. Find the approximations Tη, Mn, and S, to the…

A:

Q: Question 1 (1pt). The graph below shows the velocity (in m/s) of an electric autonomous vehicle…

A:

Q: A tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the…

A:

Q: (x^2+y^2)dx+(x^2-xy)dy=0  , Determine if the equation is homogeneous.

A: A differential equation of the form  M(x,y)dx+N(x,y)dy=0 is homogeneous if both M(x, y) and N(x, y)…

Q: The purpose of this problem is to solve the following PDE using a numerical simulation. { af (t, x)…

A:

Q: Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: please dont use chat gpt

A:

Q: Solve π сах 1- / Sea costand x 2- π -πL {"e" -J xd ax sin(x) dx

A:

Q: Do the Laplace Transformation for this equation in Partial Fractions.

A: Here's a detailed solution of the given differential equation using the Laplace Transform…

Q: dy Find for y = xetanh 3x + cosh 1 x²+10 dx Find S 1−sinh 2 x cosh x 2 dx

A:

Q: Cancel Done RESET Suppose that R(x) is a polynomial of degree 7 whose coefficients are real numbers.…

A: Since R(x) is a polynomial with real coefficients, its complex roots must occur in conjugate pairs.…

Q: Solve the following heat equation by method of separation variables: ди = at subject to u(0,t) =0,…

A:

Q: 1. One of the partial fractions for 2 2 4x²+x-9 x3+2x²-3x a) x3 b) x11 c) x² d) z x-1 2. Identify…

A: If you have any questions let me know in the comment box thankyou.

Q: Question Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter…

A: I have solved the problem and given the answer with proper steps and explanation. Kindly check it…

Q: ~ exp(10). A 3. Claim number per policy is modelled by Poisson(A) with A sample x of N = 100…

A: (i) A Priori Estimate of the Number of Claims per PolicyWe are given that the prior distribution for…

Q: 17. Suppose we know that the graph below is the graph of a solution to dy/dt = f(t). (a) How much of…

A:

Q: Find the following limit or state that it does not exist. X-2 lim x-2 5x+6 - 4 Select the correct…

A: Final Answer: limx→2​5x+6​−4x−2​=58​ So, option A is correct and the exact answer is 58​ .

Q: 3. Let f R2 R be a function. (i) Explain in your own words the relationship between the existence of…

A: ### (i) Relationship Between Existence of Partial Derivatives and DifferentiabilityThe existence of…

Q: 1. (i) Give the definition of a metric on a set X. [5 Marks] (ii) Let X = {a, b, c} and let a…

A: Step 1:   A metric (or distance function) on a set X is a function  d:X×X→[0,∞)  that satisfies the…

Q: Question 2 If A(t) = 3t² i − (t + 4); + (t² - 2t)k and B (t) = sinti +3ej-3 cos tk, find (A x B) at…

A:

Q: 53,85÷1,5=

A: Step 1: Step 2: Step 3: Step 4:

Q: find three soultion independed by lagrang 2x (y + z²)p + y(2y + z²)q = Z³

A: Let's give it a try. To provide precise answer, I believe further reference is necessary, but I will…

Q: For the following function f and real number a, a. find the slope of the tangent line mtan = f' (a),…

A: We are given the function: f(x)=x22​  (a) Slope of the Tangent LineThe slope of the tangent line is…

Q: Good Day, Kindly assist me with the following query. Any assistance would be appreciated.

A: Solution to Question 1ai. "If I do not complete my homework or submit it late, then my teacher will…

Q: For the given graph, determine the following. -3 12 УА 4 3 - -1 ° 1 2 3 x -1. -2- a. Determine for…

A: Given figure is :

Q: Explain why lim x²-2x-35 X-7 X-7 lim (x+5), and then evaluate lim X-7 x² -2x-35 x-7 x-7 Choose the…

A: Step 1:Step 2:Step 3: Step 4:

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = 1 to x = 6.…

A: We have to determine the average rate of change of f(x) from  x=1 to x=6 by using the given graph of…

Q: Let f(x) = -5x-1, g(x) = x² + 5, h(x) = · x+4 3 Find (hog of)(1). (hogof)(1)= (Simplify your answer.…

A: We need to find (h∘g∘f)(1) i.e., h(g(f(1)))Step 1: Compute f(1)f(x) = -5x - 1 f(1) = -5(1) - 1 f(1)…

Q: Find the derivative of the function. k(x) = − 6(5x +4) -

A:

Q: Examples: Solve the following differential equation using Laplace transform (e) ty"-ty+y=0 with y(0)…

A: Approach to solving the question:let's solve the differential equation using the Laplace transform.…

Q: -6 -5 * 10 8 6 4 2 -2 -1 -2 1 2 3 4 5 6 -6 -8 -10- The function graphed above is: Concave up on the…

A: Concave up: the portion of the graph where it opens upwardWe see that the graph opens upward to the…

Q: 5 4 3 21 N -5-4-3-2 -1 -2 -3 -4 1 2 3 4 5 -5+ Write an equation for the function graphed above y =

A: — EXPLANATION —

Q: Determine Whether series converge or diverge if it converge what is the limit.  $\{ \frac…

A: The given series is an alternating series, as it contains the term (-1)n-2. The general term of the…

Q: Let F = V where (x, y, z) x2 1 + sin² 2 +z2 and let A be the line integral of F along the curve x =…

A: Approach to solving the question: Given Field and Scalar Potential:F=∇φ   ,…

Q: 4.3 The Chain Rule 1. {Algebra review} Let f(x)=2x²-5 x and g(x)=6x+2. Find f[g(−5)]. 2. {Algebra…

A: 1. Find f[g(-5)]  We are given the functions: ∙ f(x)=2x2−5x∙ g(x)=6x+2 Step 1: Compute g(-5)…

Q: Cable AB is 103 ft long and the tension in the cable is 3900 lb. 56 ft A 50° 20° B x C Identify the…

A: Step 1:  Step 2: Step 3: Step 4:

Q: I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please refer below

A: We transform the parent function f(x) = x2 into the given transformed function, we apply the…

Q: Solve the problem

A:

Q: Use the method of washers to find the volume of the solid that is obtained when the region between…

A:

Q: 4. Suppose the demand for a certain item is given by D(p)=-2 p² - 4p+350, where p represents the…

A: Given:Demand function: D(p) = -2p2 - 4p + 3504-a. Rate of change of demand with respect to price: To…

Q: Find the parametric equation for the line where the planes -4x+y+3x= -11 and -2x+y=3z = 7 intersect.

A: If you have any questions let me know in the comment box thankyou.

Q: c) Sketch the grap 109. Hearing Impairments. The following function approximates the number N, in…

A: Let's solve the given problem step-by-step.We are given the…

Q: x²-19x+90 Let f(x) = . Complete parts (a) through (c) below. x-a a. For what values of a, if any,…

A:

Q: Let f(x)=7x²-2x and g(x) = 5x+3. Find f[g(k)].

A: We have given, f(x)=7x2−2x g(x)=5x+3  Step : 1 Find g(k) by replacing x with k in g(x),  g(k)=5k+3…

Q: Find area of the sector

A: To find the area of the sector, we can use the formula:A=2πθ​×πr2     where:A = Area of the sectorθ…