Find the maximum value of the function f(x, y) = 22x³/2y subject to the constraint x+y=45. Round your answer to the nearest integer.

Q: 3. Find the image of the domain outside the unit circle |=1 on the upper half plane, under the…

A: We need to find image of the domain.

Q: Suppose that the derivative of a certain polynomial g(x) is g'(x) = 3x² + 12x + 15. On which…

A: The derivative of a certain polynomial gx is g'x=3x2+12x+15

Q: Plot each angle on the unit circle below. You will need to draw additional radius segments

A:

Q: If we apply Rolle's Theorem to the function f(x) = 2x² - 12x - 2 on the interval [1,5], how many va…

A:

Q: Determine the radius of convergence and interval of convergence of each power series. Ση!(2x − 1)"…

A:

Q: 69. y = x(x + 2) (2x + 1)(3x + 2)

A: y =xx+22x+13x+2

Q: lim x ln x +0+2

A: limx→0+xlnx

Q: 每=(x)8:57 -* - (x) = S

A:

Q: Assume lim f(x) = 6, lim g(x)=3, and lim h(x) = 2. Compute the following limit and state the limit…

A:

Q: If f(x)=3x-1 and g(x)=x³, which of the following is FALSE? (fog)(x)=3x³-1 O (fog)(x)=x³/3 +1…

A:

Q: Find the interval of convergence of the series of the interval. n=0 (x+2)n (n + 1)2n Show the test…

A: We have to find the interval of convergence of the series ∑n=0∞x+2nn+12n. Also, show the test for…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: Nasa launches a rocket at t=0 seconds. It's height in meters above sea level, as a function of time…

A:

Q: INTEGRAL CALCULUS Problem Solving. Show your solution on a separate sheet/s and write your final…

A: Integration

Q: Find Duf at P. 1 f(x, y) = 3(1 + xy) ³/²; P(3,1); u= NOTE: Enter the exact answer. Duf = S i+ j

A:

Q: 2. Evaluate t¹ +81 dt. Show all steps of partial fraction decomposition. t(t² +9)²

A:

Q: What is the maximum vertical distance between the line y = x + 6 and the parabola y = x2 for -2 ≤ x…

A:

Q: Find the area of the region enclosed by the graphs of y = 3 sin(x) and y= 5πT 2 cos(x) from x = : 0…

A: We need to find area enclosed in region.

Q: . The dimensions of a closed rectangular box are measured as 80 cm, 60 cm, and 50 cm, respectively,…

A: If L,W,H and S are the length, width, height and surface area of the box then the maximum error in…

Q: Let T be the tetrahedron with vertices (5, 0, 0), (0, 4, 0), (0, 0, 3) and the origin. Write [ f(x,…

A:

Q: Find the vector and parametric equations for the line through the point P = (-2,-3, 3) and parallel…

A:

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A:

Q: 19. f(x)= = x²-4 x²

A: Since you have posted multiple subpart question in this question and as per our company guidelines i…

Q: List the p value for the series and determine if it converges or diverges. 1 Σ' 4/3 n=l n

A:

Q: Evaluate logg (3)-log, (192) without the use of a calculator.

A:

Q: d(t) 112 1 312 2

A:

Q: 14. f(x) = = x+5x 5x²-3x+2

A: Given that , fx=-x3+5x2-3x+2 Sketch a graph of the given function.

Q: Consider the following. f(x, y) = x²ev, P(6, 0), u = (4i - 3j) —— (a) Find the gradient of f. Vf(x,…

A:

Q: Evaluate the integral and check your answer by differentiating. x5 + 3x² 1 x4 1³ - dx +C

A: Given data

Q: Find the indefinite integral. (Use C for the constant of integration.) S (7√x^2 -(5/x^2)) dx

A:

Q: What is the direction perpendicular to the plane containing F₁ and F₂? F₁ = (11î+ 4ĵ- k) N F₂ =…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer.) √3 2…

A:

Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: To find the vectors that satisfy the stated conditions. (a) Oppositely directed to v=3, -8 and half…

Q: A. Perform Partial Fraction Decomposition of technology to solve the linear system. B. A town wants…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: P! Find the area bounded by the two Functions y=(x-2)²³ +5 and y = 1/2 X-2 and x=1 and x=4

A:

Q: Math 123 1. Compute each integral using geometry, given the graph of y = f(x) below: [₁1(x) dx b.…

A:

Q: (i) the interval(s) on which the function f is strictly increasing or strictly decreasing.

A:

Q: Find the (exact) direction cosines and (rounded to 1 decimal place) direction angles of = (4, 3, 6)…

A: Given: v→=4,3,6 We are required to find: cosαcosβcosγαβγ

Q: Consider the polar equation r = cos 0. Find dy dy dx fremm

A:

Q: Given the points A(3, 4, 5) and B(9,- 2, 7), write a vector equation and the parametric equations of…

A:

Q: Determine the set of points at which the function is continuous. F(x, y) = D > > = {(x, y) | × [? ▼…

A:

Q: If we apply Rolle's Theorem to the function f(x) = 21²-81-9 on the interval [0, 4], how many values…

A:

Q: For the function from the image attachment. Find the zero point, asymptotes, global/local extrema,…

A: We have to sketch the graph of f(x).

Q: Use the following figure, which shows a graph of f(x) to find each of the indicated integrals.…

A: Area of ab = 12 Area of bc = 4

Q: 5√6x 4. Use a substitution to change f dx into an integral that can be found in the table of…

A:

Q: A mass of 1500 grams of a particular radioactive substance 700 decays according to the function m(t)…

A: To find when does the mass reaches 40 grams

Q: following equations: solve the @ Log ₂4 = 2

A:

Q: The expression 423-55 simplifies to 4x²-25 True 1 2x+5 1 where x = 55 2'Z False

A:

Q: Eliminate the parameter t to find a Cartesian equation for: and express your equation in the form…

A: