Find the flux of the vector field F = xi + ej z k through the surface S given by that portion of the plane 9x+y+7z4 in the first octant, oriented upward.

Q: Using the Lagrange multiplier method, find the values of x,y given the function f(x,y)=x^2+y^2 and…

A:

Q: Solve both

A: 1.y=(6−5x)e3x−3 2. The particular solution is  y=53​cos2t+51​sin2tExplanation:Step 1: Step 2: Step…

Q: The second directional derivative of f(x, y) is D²Rx, y) = Du [DRX, Y)] If f(x, y) = x3+5x2y+ y³ and…

A: the second order directional derivative of f(x,y) is 27.76Explanation:Step 1: Step 2:Step 3: Step 4:

Q: Given vectors = (-1,4) and = (-5,-2); find the dot product .. 06 O-13 O 13 O-3 0-6 O None of the…

A: The objective of this question is to find the dot product of two given vectors. The dot product of…

Q: Find Düg(1, −1) where g(x, y) = e−(x²+y²) and u is the unit vector parallel to .

A: To find  is the unit vector parallel to .

Q: hello can someone please help me with this calculus question, thank you!

A: The objective of this question is to determine the values of p for which the series Σ (from n=1 to…

Q: Use the chain rule to find the derivative of f(x)=5(2x9 - 4x4) 13 You do not need to expand out your…

A: (Note: Please see the explanation portion below to see the answer and detailed solution.…

Q: Given vector = 57 +107; which of the following is a vector that is orthogonal to ? 0-10-57 O 201 +57…

A: The correct answer is:−20i+10j​Explanation:We determine which vector is orthogonal tov=5i+10j​by…

Q: 9. There are many types of functions that we have discussed in class. These include Linear,…

A:

Q: Given that y = mx - 8 is a tangent with a positive slope, to the function f(x) = x²-6x + 8, find the…

A: The objective of the question is to find the slope 'm' of the tangent line to the function f(x) =…

Q: A calculator may not be used on the following questions. 4 TT A polar curve is given by r = The…

A: The slope of the curve at x=π/2  is equal to 0.25 The correct option is option (d)Explanation:Step…

Q: Find the open intervals where f (k) is concave up and where it is concave down. Enter the intervals…

A: Therefore, the required answers are concave down intervals: (−∞,−33​​)U(33​​,∞)concave up intervals:…

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of this question is to find the cardinality of the power set of a given set A. The…

Q: Find volume V. Use cylindrical or spherical coordinates.

A: Final SolutionSo, the volume V of the solid region inside the cone z=r and between the planes z=1…

Q: Which of the following curves, given by the parametric equations, pass through the point by the…

A: To determine the curves given by the following parametric equations,that pass through the point by…

Q: Let y=tan(3x+4). Find the differential dy when x=4 and dx=0.3    Find the differential dy when…

A: Given y = tan(3x + 4 ) dy/dx = d ( tan(3x + 4)) /dxdy/dx = sec2 (3x + 4 ) (3)

Q: Find wa+bi : = √ 60i-11 W || W where a and b are real numbers.

A:

Q: (BC Topic) A curve C is described by the parametric equations 31-6 x(t)=3-2t² and y(t)=4e³ . Which…

A:

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine whether {3} is an element of the set A = {2, 3, 5, 7,…

Q: Please mark the answer clearly

A: a)  9t + sin(3t)U(t − 2π) + e8(t−4π)U(t − 4π)b) F(s) = s29​+s2+93​+s−8e−32π​Explanation:a) To…

Q: Find the area of the finite part of the paraboloid  y = x2 + z2  cut off by the plane  y = 9.…

A: 6π​(3737​−1)Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: Homework

A: ∫∫R​12xdA=1962​≈277.18Explanation:Step 1:Step 2: Step 3: Step 4:

Q: 8

A: using washer method Volume=43π​  cubic unit Explanation:Step 1:Step 2: Step 3: Step 4:

Q: QUESTION 10 Suppose that the following function approximates the weight W (in lbs) of a particular…

A: weight w(x)=3x2, put x=3The weight w(x)=27 lbsExplanation:Step 1:The weight w(x)=3x2 represents a…

Q: Given vectors = (3, 4) and = (4,-4); find the angle between these vectors. O arccos √2 10 -7√2 O…

A: we are given two vectors and we need to find out the angle between them.

Q: Find the critical points for the function f(x, y) = 5x² – 10xy + 6y² – 6y - and classify each as a…

A:

Q: What is the equation of the tangent to the curve of the function: (Question in the picture)

A: The objective of this question is to find the equation of the tangent line to the curve of the given…

Q: 16. Let u=2i+2j and v=-i+√√3j. Find the angle between these vectors. (Hint: Graph each.) V= A. 120…

A: The angle between the two vectors is:θ=75∘Explanation:The given vectors are:u=2i+2jv=−i+3​j First,…

Q: The x y-coordinate plane is given. Two horizontal dashed lines and a curve are graphed. A…

A: The domain of a function is the set of all possible input values (often the 'x' variable), which…

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). 7(x + y)…

A: To find:-, where

Q: Find the equation of normal to the function f(x)=x3−3x+1 at its local maximum point. I want a HUMAn…

A: The objective of this question is to find the equation of the normal line to the function f(x) = x^3…

Q: A Evalute the following integration: . W (x-4)dx x²-2x-15 X+9 de (x²-1)(x²+4) A = -1 R= (=0 D=4 X+9…

A: The objective of the question is to evaluate the given integrals using the method of partial…

Q: r: Find the domain and solve. 1 ln x + 1 ≤0 Domain Example: x7 Solution Example: x7

A: Domain: 0<x<e-1; x>e-1Solution: 0<x<e-1Explanation:

Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

A: Double integral of (y) over region D , where D is bounded by  y=x-30, x= y2

Q: 5 Given that thet is an acute angle with tan(0) evaluate sin(20) - cos(20). 12 119 O 169 1 169 7 13…

A: The objective of this question is to evaluate the expression sin(2θ) - cos(2θ) given that tan(θ) =…

Q: The graph of the functions f (x) and g(x) y. ↑ a c are provided fox) x+ b gox)

A: The given graph

Q: Find the critical numbers of the function f(x)=12x^5+75x^4-80x^3+2 and classify them using a graph.

A: we are to find the critical points of the function f(x) and classify them using the graph.

Q: Using triple integrals, set up the iterated integral that would determine the volume of the solid…

A:

Q: 14

A: To find the volume formed by rotating the region enclosed by the curves y=4x​​ and y=x about the…

Q: Let g be the function given by g(x) = x²ex, where k is a constant. For what value of k does g have a…

A: A real-valued function  f(x) of one variable x has a critical point at x=a , if the function is not…

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A:

Q: Given vectors = (5,-3) and = (-3, -6); find 4u - 4v. 0 = (8,36) O v = (32, 12) O=(-12,-32)…

A: The objective of this question is to find the result of the operation 4u - 4v, where u and v are…

Q: format. D is the region between the circles of radius 4 and radius 5 centered at the origin. That…

A:

Q: An isotope of lead decays according to the function ()-15 0.52 , where L is the mass of lead…

A:

Q: Given vector = 5i + 10j, which of the following is a vector that is orthogonal to ?

A:

Q: The graphs y=x³ Y 60 40 20- 20 -40 11x² +36x + 10 and y = 2x are shown in the figure. 0 2 E2 At how…

A:

Q: Find the equation of normal to the function f(x) = x³ - 3x + 1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the given function at…

Q: If f(x) = 2. e*, find f'(1).

A: given function

Q: (BC Topic) A particle moves in the xy plane such that x=1+3 and y=5-4t for-1st≤5 Which point…

A: Solution is following in explanation step.

Q: Given that vectors = (-3,3) and = (x, 4) are orthogonal; find the value of x. 04 0-4 O 12 0-12 02 O…

A: The objective of this question is to find the value of x given that the vectors (-3,3) and (x, 4)…