Find the extreme values of f(x,y) = xy subject to the constraint x² + y² -16=0. The extrema are

Q: ind the volume of the solid generated by revolving the region bounded by the lines and curves y=ex,…

A:

Q: −4x(−2x² +2)³ dx

A: Given ∫-4x-2x2+2dx We know that ∫xndx=xn+1n+1

Q: Find the linearization of the function f (x) = x6 at x = 1 L(x) = 囡囡 Using this linearlization, f…

A: Given f(x)=x6 We are required to find the linearization of f(x) at x=1 and using this we are…

Q: Evaluating Polar Integrals In Exercises 9-22, change the Cartesian integral into an equivalent polar…

A:

Q: Below is the graph of y = x² + 5. 301 20- 10- -3 -2 -1 0 1 The area bounded by y = 2 3 4 5 22 +5 and…

A:

Q: 1. Consider the vector-valued function F(t) = sin(2t) t (2,1,-2), a) Find the domain of F. b) Show…

A:

Q: Find dx dy dt' dt 11 ㅎㅎ ㅎㅎ 히즘 || 11 dy dy dx x = 3t – 3ln(t), and y = 8t2 - 8t-2

A:

Q: Integrate: F 3 3² x² dx + C

A:

Q: Find the area of the region enclosed by the given curves. 1. y = sin x, y = x, x = π/2, x = π

A:

Q: Find 11 circular arcs. a. f(x) dx for each graph of y = f(x), where f(x) consists of line segments…

A: Part b of the question has been solved as per the requirement of the student.

Q: What is one solution to the trigonometric equation sinx – cos2x – 1 = 0 in the interval [0, 2ㅠ]? ㅇㅠ…

A:

Q: Given sine= and cose=15, which of the following can be proven using a Pythagorean identity? 17 8 1+…

A: we know that   sin(θ)=perpendicularhypotenusecos(θ)=basehypotenusegiven  sin(θ)=817 and cos(θ)=1517…

Q: Find all points (x, y) where f(x, y) = 1 + xy - 1/ has a possible relative maximum or minimum. Use…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the line integral along the given path C. (x - y)dx, where C: x=t, y = 9t+5, for 0≤t≤3 C…

A:

Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

A: The given integral is:(a).∫∫R f(x, y) dA=∫AB∫CD f(x,y) dy dx

Q: (−3, −3, −4) = 6 5 2 √3' √√3 √3 --- . . .

A:

Q: Express the limit as a definite integral on the given interval. lim. Σ (x2 + 4x, n→∞ -Ax, [1, 9] 8…

A: Given: limn→∞ ∑i=1nxi*xi*2+8∆x   ,            1,9.

Q: 2 2 1) (i) Show that F= 3 xy³i + 3x²yj is a conservative vector field. (ii) Find a potential…

A:

Q: Let f (x) = x¹ - x³ -1/ The domain of f is restricted to -2 ≤ x ≤ 4 Select the interval(s) where f…

A: Concept:  A function f(x) is said to be concave upward on an interval if f″(x) > 0 at each point…

Q: 2. What is a, in the following sequence 1, 4, 8, 13, 19, ...

A: Given query is to find the a5

Q: Use a graphing utility to approximate the real solutions, if any, of the equation rounded to two…

A: By using a graphing utility to approximate the real solutions, if any, of the following equation…

Q: 15) Perpendicular to the line y = -x + 3; containing the point (4,-4) 8 A) y=-3x - 8 1 B) y=-3x3 C)…

A:

Q: under the graph of f as a limit. Do not evaluate the limit. Visney sbiw squi to sqyi smise ein ist…

A:

Q: Find d dx -(4 ln(x))

A: To find the derivative of given function

Q: 3x-1 The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 4x+3 (a) Find…

A:

Q: (26) Let R be the region in Quadrant I enclosed by the graphs of y = 4x and y = x³. (a) Find the…

A:

Q: Question 1. Evaluate the following integrals a) S (e²-2) (€²²+1) dx

A: Since you have asked multiple questions in  a single request so we will be answering only first…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  take…

Q: Find all the values of x such that the given series would converge. ∞ (x - 11)" 11″ n=1 The series…

A:

Q: Solve the equation A and 189 busing LU factorization (NOT by using A) given that -3-4 -55 [] - 190 4…

A: NOTE: Refresh your page if you can't see any equations. . here we have and LU factorization is  so…

Q: A spherical snowball is melting. Find the approximate change in volume if the radius decreases from…

A: we know that volume of spherical shape = 43πr3 Let initial radius r1 = 3cm Let the final radius r2…

Q: a. The points (3,-1,2) and (-1,3,-4) are the endpoints of a diameter of a sphere i. Determine the…

A: Please find the answer

Q: Use the chain rule to find the derivative of the function z = x¹y³ - 3xy along the curve given by x…

A:

Q: The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking…

A:

Q: Using a scale of 1 to 10 billion, fill in the conversion chart for each of the given solar systern…

A:

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the…

A:

Q: If f(x) is a linear function, f(-5) = -3, and f(1) = -4, find an equation for f(x) For the toolbar,…

A:

Q: Arctan (sin 37) 2

A: Given query is to find the value of the expression.

Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: quart of Creamy Vanilla  number of quart of Creamy Vanilla=x1number of quart of Continental Mocha =…

Q: Evaluate the definite integrals using the graph of f (x) below. 6- (a) (b) (c) f(a) da = Number [° ƒ…

A: To evaluate the value of definite integral using graph of f(x).

Q: Use the fundamental identities and simplify the expression sin² x (cot² x + 1) to get a numerical…

A:

Q: 11 1 3 tan and a and are not in Quadrant II.

A:

Q: Find the area between the graph of f(x) = -x³ + 3x + 1 and the x-axis from 0 to x = 1. = 05 0 1 O…

A:

Q: Change from degrees to radians. 10) 875°

A: we know that    1°=π180 radian

Q: Suppose the daily supply equation for noise cancelling wireless headphones is given by P = S(x) = 60…

A: NOTE: Refresh your page if you can't see any equations. . the given supply function is  and the…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A:

Q: Find the area under the graph of the function over the interval given. y=x³; [0, 2]

A: area is  A=∫abf(x)dx∫xndx=xn+1n+1+c

Q: Find the equation for the tangent plane and the normal line at the point Po(1,3,1) on the surface…

A:

Q: find sqrt(x^2+x). Check your answer by plugging in x=-1

A: Given query is to find the value of the expression.

Q: 3. Verify that F(x, y) = xy²i + (y + yx²)j is conservative. Find a potential function for F. jF•dC…

A: Solve the following