Find the outward flux of the field F = 6xyi + 4yzj + 2xzk across the surface of the cube cut from the first octant by the planes x = a, y = a, z = a. The outward flux of the field F across the cube is equal to

Q: r(t) = (-2 cos (2t), 3 sin (3t), ln (2t)), then the fr(t)dt is equal to 3 -cos (3t), tln (2t) - t) +…

A: Here we find the correct option,

Q: O Differentiate Y 2 +1 3/2

A:

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: This is a problem related to integration. Please find the general procedure given below.

Q: dy+2ydx=e-4x

A: dy+2ydx=e-4x⇒y=-12e4x+c1e2x

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: Given parametric equations and parameter intervals for the motion of a particle in the xy-plane…

A:

Q: Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y =…

A: This question is based on differentiation of parametric equation. Slope, m = dy/dx = {dy/dt}/{dx/dt}

Q: 6 Find y" 2 2 x²³² +9y² = q d d & [x²+9y² ] • * [9] 2 dx Lx dx dy 220 +9 (21) ax =O dy 2x+18 Yax dy…

A: We have to find out derivative

Q: Find the E.I. of the following periodic signal -2 -1 1 2

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: Evaluate the line integral [x(1 с where C is given by the line r(t) = (1 + 3t, 2t), 0≤ t ≤ 1. x(1 +…

A:

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

Q: Determine whether the alternating series Σ (- n=1 COMING (-1)+1 8 converges or diverges. Choose the…

A:

Q: -10 -9 8 -6 -5 -4 -3 -2 5 3- 2 1 -1 0 -1 -2 -3 + -4 -5 1 2 3 6 4 20

A: We have to find the value of the given definite integral according to the given information

Q: If f(x) = x¹ +4, g(x) = x − 2, h(x) = √√√x, then fogoh(x)=

A: This question is based on function.

Q: Does the series (-1)- Σ(-1) 4+² n=1 8 OA. OB. n5 Choose the correct answer below and, if necessary,…

A:

Q: Question 3 (a) (b) Find the area of the region bounded by the curves y = x²(x ≥ 0), y = x² (x ≥ 0)…

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A:

Q: Graph the trigonometric function. 5 y=- cos2x 2 Plot all points corresponding to x-intercepts,…

A: Please see the below picture for detailed solution.

Q: of in and Explain how inverse of the table graph the representation function a of values, equation…

A: To explain that how the representation of an inverse of a function in a table of values and equation…

Q: The function ³ - 3x² has a point of inflection at x = 2 x = -2 Ox=0 O x = 1

A: Let the function,   f(x)=x3-3x2

Q: Given: g (x) 2x³ 3x² 12x + 13 At what value of a does g have a relative maximum value? 0 6 00 0-1 O…

A:

Q: Find the area of the given region. y = sin(x) R|C I

A: We are asked to find the area of the region

Q: Find all the zeros of the quadratic function. y=x² - 10x+16 If there is more than one zero, separate…

A:

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 90,000+800x. (A) Find the…

A:

Q: Alfredo and Alicia are having an ice skating contest. They skate along a long, straight track and…

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Use the Limit Comparison Test to determine if the following series converges or diverges. 00 Hint:…

A:

Q: Use logarithmic differentiation to find dy dx y=x√x² +1 note x > 0

A:

Q: Find the linear approximation of the function below at the indicated point. f (x, y, z) = V x² + y²…

A:

Q: (ii) Calculate the iterated integral by first reversing the order of integration. S. St yer² 0 Vy x3…

A: Given double integration ∫01∫y1 y ex2x3  dx dy

Q: For the polynomial below, -2 is a zero. f(x)=x² - 4x² - 6x + 12 Express f(x) as a product of linear…

A:

Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y) →(0,0)…

A:

Q: Given the points A(1,2,3,) and B(2,-2,1) Resultant, vector C, of vectors A and B (A+B) Vector AB

A: resultant vector C = A+B  = (1+2,2-2,3+1)  = (3,0,4)

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 700x. (A) Find…

A: The total cost of manufacturing x auto body frames is Cx=50,000+700x

Q: = The x-coordinate of the point of inflection on the graph of y 5 0 10 3 - 3+5 +2

A:

Q: Let f(x) = x + 1 x + 6 f-¹(-10) =

A: Let's evaluate the inverse of function  value.

Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

A:

Q: Find the limit (if it exists) of the sequence (x_n) where x_n = sqrt(3n+2)-sqrt(n).

A: Here, the given sequence is: {xn} where xn=3n+2-n

Q: Complete detailed solution. What is the equation of the tangent line at (0,0) of f(x)=2x²-3x

A:

Q: What is the domain of the following rational expression (include all types of restrictions):…

A:

Q: A farmer buys a new tractor for $145,000 and assumes that it will have a trade-in value of $86,000…

A: We need to solve linear equation model question.

Q: What amount increased by 180% is $32.56? $18.09 $91.17 $12.45 $11.63 $180.89 4

A: what amount increased by 180% is $32.56

Q: Consider the series + (-1)" n=1 n Which of the following statements is true? The series is not…

A:

Q: Given that f(x) = x² 8x and g(x) = x + 15, find (a) f + g= (b) f-g= (c) fg= f (d) and its domain is…

A:

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. M8 Σ nl…

A:

Q: Find the general solution of the following differential equat 121y" - 4y = 0 NOTE: Use c₁ and c₂ as…

A: Given: 121y''-4y=0

Q: -10 -9 N -8 -6 -5 10 6 8 7 6 5- 4 3 9 1 0 2 3 4 6 8 9 10 Т

A:

Q: Use the Root Test to determine if the following series converges absolutely or diverges. n² 00 n=1…

A: