calculate the area of that part of the surface z = 2xy which is bounded by the planes   x+y=1, x=0, y=0.

Q: 1 foto Read It If f is continuous and Need Help? f(x) dx = 16, find [x xf(x²) dx.

A:

Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (1,4,5)…

A:

Q: 7. : Find the point of intersection of the two lines L: 3x - 4y = 2 M: x +2y = 4 Graph the lines.

A: 7.The given lines,      L: 3x-4y=2     M: x+2y=4 Note:   In question 6, Dan receiving amount…

Q: he function f(x) - 2x³ 30x²+144x + 6 has one cal minimum and one local maximum. Use a graph of the…

A: Please refer to the image below

Q: (a) the volume of R using cylindrical coordinates with dV = r dz dr de w

A:

Q: It is projected that x years from now the population of a certain city will be changing at the rate…

A: To find out the population 3 years from now.

Q: Given the properties of the natural numbers N and integers N (i) m, n € Z➡➡m+n, m-n, mn € Z (ii) If…

A: We are allow to solve one question at a time. If you need rest of answer then upload separately.…

Q: It is projected that x years from now the population of a certain city will be changing at the rate…

A:

Q: Which equation shows the correct derivative of the equation y = 2x² + 16x +3?

A:

Q: Consider the function f(x) = 4 − 4x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: Consider the function fx=4-4x2, -5≤x≤1.To determine the absolute maximum and the absolute minimum…

Q: The width and length of a rectangle are measured to be 3 m and 5 m, respectively. These come with an…

A:

Q: Use a graphing utility to sketch the intersecting graphs of the equations and determine whether or…

A: topic- equations and their slopes

Q: R, S and T are closed sets implies RnSnT is closed.

A: given

Q: Determine the constants a and b in the equation of the curve y = ax + b³ + ca+d having a critical…

A:

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

A:

Q: Q1: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

A:

Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

A:

Q: Find a potential function f for the field F = e²y + 52 (2 i + 4x j + 10x k). A general expression…

A:

Q: particular

A:

Q: Given cost and price (demand) functions and C(q) = 115q + 31000 and p(q) = -2.3q +800, what price…

A: Marginal Profit=Marginal Revenue-Marginal Cost

Q: If f(x) = 5x(sin x + cos x), what is f'(x)?

A:

Q: writing the given quadratic s^2 +6s + 10 in the form (s+a)^2 + B^2 (that is to complete the square).…

A:

Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given indefinite integral is: I=∫dx4x+3   ...1   As we know the common integral. ∫1xdx=lnx+C

Q: S e2x x2 dx

A:

Q: Solve the equation for z = C: i(z - 2i)² = 8 Select one: O a. z E-2, 3 + 4i O b. z € 2,-2 + 4i O C.…

A:

Q: Find the volume of the solid underz = 6 - 5x and above the plane bounded by y plane. O a. 19 O b. 11…

A:

Q: Find the area bounded by y = 2x + x2 - x3, the x - axis, and x = -1 and x =1

A: On solving this we will get

Q: The derivative of f(x) with respect to x is the function f'(x) and is defined as f'(x) = lim 0…

A: The given equation of the curve y=x2+6x+2

Q: ¹In(1+x) -dx 0 X

A: Expand log series

Q: 27. Given f(x)= F(D)=2 (X+) (x-1) A. I only B. II only x² -1 2 6 x #1 x = 1 I. II. III. e shituse…

A:

Q: show that V(x,y) = x 'f (2x+y) is the general Solution of 9 dv X du 2x = V dx 1 ay

A: Given: V(x, y)=xf(2x+y) Find: the general solution of Xdv/dx - 2XdV/dy= V

Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 114 ft/sec Not…

A: Given problem:- A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat.…

Q: Use the Fundamental Theorem of Calculus, Part 1 to find the derivative: d •√x (t² + Int)dt dx Sa

A: First I have written the Fundamental theorem of Calculus and using it for given problem and find the…

Q: S 1 A box with a square base and open top must have a volume of 318028 cm³. We wish to find the…

A:

Q: f(x, y) = x³+y³-300x - 75y-3

A:

Q: A company determines that its demand function is given by p(q) = -0.4q+ 1841 and that its cost…

A: To find out the marginal revenue at 2785 items.

Q: Put the equation that is in general form: y = x² + 22x + 112 into standard form: y = (x − h)² + k:…

A:

Q: Solve simultaneously x (t) + x' (t) − y (t) + z' (t) = 4 y' (t) + z(t) = 0 2x(t)+y(t)+z(t)=0 where x…

A: Given the system of differential equations x(t)+x'(t)-y(t)+z'(t) = 4  ......(1) y'(t)+z(t) = 0…

Q: Find all values of x in the domain F such that F’(x) does not exist. B.Find the critical numbers of…

A:

Q: ,19 The estimate of an integral of of f(x) dx is given as 1860.9 using 1-segment trapezoidal rule.…

A:

Q: find the volume of the solid generated if the area bounded by the curves is revolved about an…

A: We need to find volume.

Q: Consider the basis S - (V₁, V₂} for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

A:

Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

A:

Q: 149. Determine the real number a such that vectors a = 2i +3j and b=9i+aj are orthogonal.

A:

Q: Find the volume of the given solid region bounded below by the cone z= sqrt(x^2+y^2) and sphere…

A: Here we have to find the volume of the solid region.

Q: Evaluate the double integral over the rectangular region R. x√9 - x²dA R = Mi [[ x√√9 – x²dA; R =…

A:

Q: A company determines that its demand function is given by p(q) = -0.7q+2056 and that its cost…

A: A company determines that its demand function given by p(q)=-0.7q+2056 and that its cost function is…

Q: P, Q and How far is the point S from the plane that contains the points R?

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The derivative of f(x) with respect to x is the function f'(x) and defined as f(x+h)-f(z) f' (z) =…

A: topic- derivative of a function

Q: 7. 1 x lnx dx 8. f(x + 1)(2x - 1) dx

A: 7.∫1x lnxdx = ∫1 lnx. 1xdxLet, lnx= y ⇒1xdx = dySubstitute the corresponding values in the…