Use the given transformation to evaluate the integral. 16 (x -8y) dA, where R is the triangular region with vertices (0, 0), (7, 1), and (1, 7). x = 7u + v, y =u + 7v

Q: >) The line intersect the plane L: x= 3+2t, y = 2t, z = t x + 3y -z = -4 in a point P. 1) Find the…

A: The line intersect the plane  in a point P.(1) To find the coordinates of point P.(2) To find the…

Q: +0 So 250 3 2f(x) dx = 4. (a) Using properties of definite integrals, find so f(x) dx. (b) Using…

A:

Q: Find the Jacobian of the transformation. X x = 9u + 5v, y = 4u + 3v a(x, y). a(u, v)

A:

Q: 3. Determine the absolute and local extreme of each function on the given interval. a)…

A:

Q: Find Mx, My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations.…

A:

Q: 30 20 10 -10 2 4 5 6 X When is it slowing down? (Enter your answer using interval notation.) (3,6) 3…

A: By graph, we get that Curve of velocity v is going up side from x=3 to x=6So,the interval of…

Q: Direction: In each of the following Homogeneous Equation and with the given condition, find: (a)…

A: Given data

Q: e area under the graph of f(x)=0.05x4-3.24x² +87 over the interval [3,11] is approximatel

A: We have to find the area of given graph.

Q: Let / be a differentiable function that satisfies Then f(x+y)-f(x) = 6 xy + 3y2 for any real numbers…

A:

Q: Find the linearization L(x,y,z) of the function f(x,y,z) = √x² + y²+z² at the points (7,0,0),…

A: To find the linearization  of the function  at the points , and .

Q: the exact location of all the relative and absolute extrema of the function. (Order your answers…

A:

Q: Suppose that the perimeter of a particular Norman window is o be 40 ft. What should its dimensions…

A: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular…

Q: 6. Determine the number of terms to ensure the approximation of the following sum to be accurate…

A:

Q: Evaluate √x² + y² dA, where D is the domain in the figure and a = 26. 26 a -X

A:

Q: If csc(x) = 2, for 90° < x < 180°, then () = [ 2 sin ()=0 2 tan (5) = [ COS

A: Csc(x)=2, 90&lt;x&lt;180Find sin(x/2)Cos(x/2)tan(x/2)

Q: The Sixth Gate After walking through the fifth gate, your computer informs you that more than half…

A: The given function is

Q: Find the equation of the following hyperbola based on the following information: Vertices: (4,1),…

A: Find the equation of hyperbole based on the following information vertices (4,1) ; (4,9)  and foci…

Q: Use washers to find the volume formed by rotating the region enclosed by: 1.6 1.2 x 14 and y = 0…

A: Use washers to find the volume formed by rotating the region enclosed by y= 1.6-1.3|x-14| and y=0.

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A:

Q: Use Green's Theorem to evaluate: F.ñ ds where F =(√x+3y, 2x + 3y) and C is the boundary of the…

A: The solution is shown in step-2

Q: Use cylindrical coordinates to calculate the triple integral [ f(x, y, z) dV for the function f(x,…

A: We have to find the integral using triple coordinates.

Q: A car is driving northwest at vmph across a sloping plain whose height, in feet above sea level, at…

A: The solution is shown in step-2

Q: Ellipse with vertical major axis

A:

Q: The daily marginal revenue function associated with selling x widgets is given by R'(x) = -0.02x +…

A:

Q: The series Σ • Σ n=1 4n 3+5n TU is

A:

Q: Find the area between the curve and the x-axis over the indicated interval. 5 X y = [1, 7]

A:

Q: Q13. Solution of the differential equation (a) e-y²= e-x tan x - x² + c< (b) ey² =ex tan x + c (c)…

A: To find the solution of the following differential equation.

Q: If y = (x8 + 9), find y' (1). O 10 In (10) - 8 O In (10) - In(10) + 4 O 10 In (10) + 8 08

A:

Q: Find the minimum and maximum values of the function f(x, y, z) = 3x +2y + 4z subject to the…

A: Given functionsubject to the constraintNow we have the derivative values

Q: Evaluate the definite integrals. (a) f (b) √2x + 1dx ²/4 S cos (√) √T dx

A: Evaluate the definite integral

Q: the one u just did is wrong and can you please do the second

A:

Q: Find the area under the given curve over the indicated interval. y=x²; [3,5]

A:

Q: 2. The graph of g below consists of two straight lines and a semicircle. Use it to evaluate each…

A:

Q: Consider the following function: f(x)=ln(x+1) Determine the intervals at which the function is…

A:

Q: Find all the antiderivatives for the following function. Check your work by taking the derivative.…

A: We need to find an antiderivative of a given function.Antiderivative is nothing but integration of a…

Q: The graph shows a city's daily rate of use of electricity (in millions of kilowatts). Estimate the…

A: We need to find average of the left and right end point sum.

Q: Find the following limits: a. lim 1200 e t→∞ -0.2t= b. lim 1800 + 1200 e¯0.2t = t→∞ 400 t∞ 1 + 3 e…

A:

Q: 2. Given the vector a = (3,-4,5) and vector b = (-2,3,1) determine the following in the most…

A: Since you have posted multiple subparts question in this question which are not interlinked so i…

Q: can you answer the other one 10 root t

A: The solution is shown in step-2

Q: Find the divergence of the vector field F. F(x, y, z) = In(3x² + 8y²)i + 24xyj + In(8y² + 9z²)k…

A:

Q: Use the first 4 non-zero terms of the power series for f(x) = sin (x²) to approximate S 0 sin (x²)…

A:

Q: (6) The population density in a circular city depends on the distance r, in km, from the center. The…

A:

Q: Ema thinks that (u) xw, exists. Paul disagrees with her. Who is right? Explain why.

A: Dot product gives a scalar value  .

Q: The Map As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you…

A:

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A:

Q: f(x) = 6√x+ ∞0||$ √x

A:

Q: A conical container, with its axis vertical and vertex downwards, is full of water. The water is…

A:

Q: What is the expression that represents the integral of f(x,y) = x2 + y2 over the unit circle?

A:

Q: Find the integral. X 500x +6 dx

A:

Q: Sketch the region of integration and change the order of integration 2₂ f(x,y) dzdy

A: By first sketching the region of integration, we can change the order of integration.