Find the cross product a × b where a = (0, 3, 4) and b = (5,1,2). axb =

Q: 3. Biologists stocked a lake with 400 fish and estimated the carrying capacity to be 10,000. The…

A:

Q: (9 and 10) Explain how to solve these question in detailed steps.

A: Thanks for your patience!.Kindly comment if you need any clarifications.

Q: 19./1-√ dr

A: 39.

Q: I need help with question 3.

A: Step 1:Step 2:Step 3:

Q: 29 What is the total area enclosed between the graphs of the functions f(x) = x³ + -x+1 and 1…

A: Step 1: Given the functions  f(x)=61​x3+32​x2−429​x+1,g(x)=41​x+1 To find the total area enclosed…

Q: (14 and 15) Explain how to solve these question in detailed steps.

A: Question 14:The statement "A function is decreasing on an interval if the slope of the tangent is…

Q: Of all rectangles of area 441, which one has the minimum perimeter? The rectangle that has the…

A: To find the rectangle with the minimum perimeter among all rectangles with an area of 441, we first…

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Given that,t=0 and t=15 are the intervals of,v(t)Area under the curve, v(t) is,Area =…

Q: Evaluate the integral and express your answer in simplest form. -1 dx √16-16x2

A: To evaluate the integral ∫16−16x2​−1​dx, we can first recognize that it resembles the form of the…

Q: Find the point on the line 4x + 2y + 4 = 0 which is closest to the point (5, 3). Answer is

A: Step 1: State the given information.Equation of the line: 4x + 2y + 4 = 0Point: (5, 3) Step 2: Write…

Q: Find and simplify the derivative of the following function. f(x) = 3x5 (2x²-1) The derivative of…

A:

Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

A: Step 1:​x=4cos(θ),y=4sin(θ)​Step…

Q: A railroad scaling a mountain is 246 m long and rises 121 m in elevation. What is the angle of the…

A: Step 1: Identify the given values:  - Length of the railroad  adjacent: 246 m  - Rise in elevation…

Q: 2. The All-Powerful Theorem of Calculus Using all your knowledge acquired in this unit during the…

A: The objective of this question is to find the derivative of the given function y = sqrt(u) du with…

Q: (7 and 8) Explain how to solve these question in detailed steps.

A: QUESTION 7: We're looking for where the function f(x) is concave up on the graph provided. A…

Q: How would i find the area of the parallelogram spanned by v and w?

A: Step 1:​v=⟨1,3,1⟩w=⟨−4,2,6⟩​Step 2:​Area of the parallelogram spanned by v and…

Q: Let h(t) = tan t. Find the maximum and minimum values of h on the interval I = [0, π/3]. Then use…

A: The objective of this question is to find the maximum and minimum values of the function h(t) = tan…

Q: Determine the open t-intervals on which the curve is concave downward or concave upward. (B x = 3t+…

A:

Q: Practice

A: Step 1:We need to write down the given vector in the form ai+bj1) <-8, 4>Compare this with…

Q: Let F(x) = (15)1/3 dt. Then F'(x) =

A: Step 1: Step 2: Step 3: Step 4:

Q: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x²+z² and y =…

A: Step 1: Step 2: Step 3: Step 4:

Q: 8

A: We can estimate the Riemann sum using left and right-hand endpoints by calculating the width of each…

Q: I need help on question 5.

A: The objective of this question is to analyze the given parametric equations, find the derivative…

Q: LET F(x) = f(x8) AND G(x)=(f(x)) 8 F(a) = 3 F'a = 7 F' (a 8) = 4 a 7 = 11 FIND F' (a) = 7 AND G' (a)…

A: 2.

Q: If f(x) = (x+4)sin(√x+4), what is the average off on the closed interval [0, 5]? Round to 3 decimal…

A: Step 1:  Step 2: Step 3: Step 4:

Q: Calculate the work done by the field F(x,y) = ⟨-2y, x⟩ in moving an object along the path which is…

A: Thank you,Please rate my response.

Q: Find the eigenvalues of the matrix. A = == 1 2 1 1 10 022

A: For any query with the solution please ask in the comment box.

Q: I need help on question 5.

A: Thanks for your patience!.Kindly comment if you need any clarifications.

Q: 1ASC Nom parfait :..... ASC Exercice 5 Ahmed a 26 ans et sa sœur Sana a 8 ans. Après combien…

A: Pour résoudre ce problème, nous pouvons définir x comme le nombre d'années après lesquelles l'âge…

Q: I just need you to help with question i) using the graph

A:

Q: 5. For a certain differentiable function F of two variables z and y, its partial derivatives are…

A: Step 1:  Step 2: Step 3: Since D=0, the second derivative test is inconclusive, and we cannot…

Q: Practice

A: Approach to solving the question: Detailed explanation:

Q: dy 4. By hand, sketch the slope field for = y² – 2y where x = = [−3, 3] and y = [−3, 3]. dx Then…

A:

Q: 1. Let f(x) = cos(tan x). What is the range of f 3. For 0 < x <- <x<, if y = (sin x)*, then find 2…

A:

Q: Definition. A critical point of a function f = f(x, y) is a point in the domain of f at which fr(xo,…

A:

Q: 2. (a) Show that the following differential equation is separable: (x² - 1)y'xy = 0. (b) Use…

A: Ans 2 (a)Ans 2(b)

Q: Please help!! Be thorough and double check your work... thank you so much!!

A: Step 1:Step 2:Step 3:part c At θ = π/6 Calculate on according to value of part b;dD/dθ = 6cos2θ…

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3 2…

A: The volume of the conical tank can be expressed using the formula V=31​πr2h Take note that the tank…

Q: NO zion Given the following information, find the matrix A. 1. (47) ¯ = (25) = Instructions for the…

A:

Q: 10

A:

Q: Use the graph of g in the figure to do the following. a. Find the values of x in (-2,4) at which g…

A: From the given graph, It is clear that,  graph is not continuous at x = 3.Also function is not…

Q: Suppose that f(x) = 6x² In(x), x > 0. (A) List all the critical values of f(x). Note: If there are…

A: Given the function,f(x)=6x2ln(x),x&gt;0 (A) Solving for the critical values of f(x). Finding the…

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

A:

Q: A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 12…

A: Step 1:Step 2: Step 3: Step 4:

Q: 13 Determine the vector, parametric, and Cartesian forms of the equation of the plane containing the…

A: Step 1:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: So, we get answer.The easiest way is to use a graphing calculator, such as Desmos. Method 2So, the…

Q: Find the parametric equations for the tangent line to the curve defined by r (t) = at the point (1,…

A: Step 1: Step 2: Step 3: Step 4:

Q: 5

A: This is an optimization problem as we need to maximize the area of the rectangle divided into three…

Q: Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at…

A: Step 1: Step 2:

Q: bonus

A: Step 1: Step 2: Step 3: Step 4: