Consider the following integral and transformation. J (8x + 8y) da, where R is the parallelogram with vertices (-1, 3), (1, -3), (2, -2), and 1 (0, 4); x = ¹ (u + v), y = ¹ (v - 3u) = 4 4 Use the transformation to write an equivalent integral in terms of u and v. LAC A = Evaluate the integral. dv du

Q: 成 dx

A:

Q: 4) Let a = (-3, 0, -4) and 5 = (-3, 3, 1). Find the projection of b onto a.

A:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 15 cos t 5+ sin t…

A:

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

A:

Q: 23. S a+bx² /3ax + bx³ dx

A:

Q: Utilize Cylindrical Coordinates to construct (do not calculate) one or more integrals that show the…

A:

Q: Find the indefinite integral. Check your work by differentiation. S6x(7-x) dx 6x(7-x) dx =

A: To find the following indefinite integral.  To check the answer by differentiation. ∫6x7-x dx

Q: dP dx = -30x + 290 P(x) =-15x² +29x - 445 P(5) = $630

A: dPdx=-30x+290    P=∫ -30x+290dx =-30x22+290x+C  =-15x2+290x+C

Q: -6 4 -2 y 2 -2 2 4 i

A:

Q: The marginal cost of manufacturing a yards of a certain fabric is C'(x) = 3-0.01x + 0.000006x2 (in…

A:

Q: The area of the surface generated by rotating the curve y = 2 - cos(4x), where 0 ≤ x ≤ π/3, about…

A: y=2-cos4x where 0≤x≤π3

Q: What is the common ratio of the geometric sequence? tn 40 35 30 25 20 15 10 5 Or=2 Or=1/12 O r = -20…

A: Terms of Geometric sequence,

Q: A 13-foot ladder rests against a vertical wall and the foot of the ladder is being pushed toward the…

A:

Q: Farmer Jones and his wife, Dr. Jones, decide to buil a fence in their field to keep the sheep safe.…

A:

Q: 7) By graphing both expressions, approximate the solution to; x² = ex

A: By graphing both expressions, approximate the solution to; x2= ex

Q: Y Where, approximately, does the function f(x) have a local maximum or local minimum? x = -2.5, x =…

A:

Q: Determine el s 2 dx

A:

Q: 6) Find the absolute maximum and absolute minimum values of fon the given interval. (Round all…

A: fx=x16-x2 ; x∈-1,4

Q: dªy dx = 12x+2 :y(2) = 28, y(2) = 5

A: We need to solve the following differential equation: d2ydx2=12x+2 ; y'(2)=28, y(2)=5 This can be…

Q: the equation of the curve that passes through (3,4) if its s dy dx = 4x-5

A: Integrate

Q: Complete the following steps for the given function, interval, and value of n a. Sketch the graph of…

A: To first plot the function and find their area using riemann sum. According to our company's…

Q: Find the surface area of the figure. Round to the nearest hundredth of a unit. Let a = 1, b = 2, and…

A:

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A:

Q: Find dx dt dx dt at x = -2 if y=-2x² - 4 and dy dt = -2.

A:

Q: Find the volume of the region bounded a above by the elliptical paraboloid z = 10 + x² + 3y² and…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Using derivatives find the absolute maximum and minimum of the following function over 1 ≤t≤ 25.…

A:

Q: y=5x².Inx

A: Given data:- y=5x2.lnx

Q: 10. Use Euler's Theorem to show that 5(16). Show =1 (mod 16). your work or explain your reasoning…

A: The objective of the question is provided the given identity by help of Euler's Theorem.

Q: The first derivative for the function f(x) fi(x) 7 - 5ex 13 X True False = -5e - 7 ln x - 13x

A:

Q: xy Find the linear approximation to the equation f(x, y) = 5, 8 approximate f(4.12, 8.17) f(4.12,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The decay of a radioactive substance can be represented by more than one exponential model. explain.

A:

Q: Evaluate the integral. 12 F(X). f(x) dx where f(x) if -2 ≤ x ≤ 0 (6x² if 0 < x < 2 = {2-x²

A: Given: f(x)= 2 for [-2,0] and f(x)=6-x2 for (0,2]  We have to find the value of integration of f(x)…

Q: 7. Evaluate Jo F. dr where 2x + y² + (xy-√√z) k F(x, y, z)=√ri+ 2 and C is the boundary of the part…

A: We have to evaluate the given integral.

Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an…

A:

Q: Estimate e0.1 using a Maclaurin polynomial of degree 3. The value of e0.1 is approximately

A: Given that e0.1. We have to estimate this value using the Maclaurin polynomial of degree 3.

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A:

Q: Find the divergence of the vector field F = div F =

A: given, F¯=&lt;3zcos(x),5zsin(x),7z&gt;

Q: Find the area of a spherical triangle with three right angles on a sphere with a radius of 1880 mi.…

A: We are required to find: Area of a spherical triangle with three right angles on a sphere with a…

Q: The temperature of an object in degrees Fahrenheit after t minutes is represented by the equation…

A:

Q: Find the critical numbers of f(x) X = xe * Separate answers with a comma.

A: The given function is fx=x2ex

Q: Rewrite the integrand in terms of u so that the X integral IT da takes the form f(u) = 3x² +10…

A: Given indefinite integral ∫x3x2 + 10dx

Q: An athletics track has two "straights" of length 1 m and two semicircular ends of radius x m. The…

A: The given track is:

Q: Find the slope at x = 1 on the graph of f(x) = 3x² - 5x + ln(x) The slope at x = 1 is

A:

Q: 1. Evaluate each integral by first making an appropriate substitution. 9x² 16x3 (a) fx(x² - 1)¹ dx…

A:

Q: Find the interval on which the curve y = | =5₁²₁ X 1 3+t+4+² dt is concave upward. (Enter your…

A:

Q: Evaluate the limit. limæ→-2 13 이윽 34 53 x+2 x2 +7x+10

A:

Q: Find the most general antiderivative or indefinite integral. Check your answer by differentiation.…

A:

Q: The graph below is the function f(x) -5-4-2-1 3 -1 -2 Find f(-1) 234 Find lim f(x) 24-1- Find lim…

A:

Q: 1. Find the first 4 partial sums of

A: a1=11!=1a2=12!=12a3=13!=16a4=14!=124

Q: Find the most general antiderivative of the function f(x) = 4x − 4(1-x²)-1/2, where -1 < x < 1. Use…

A: