Determine the domain of the function of two variables f(x,y)=√√y + 3x. The domain is {(x,y). (Type an inequality. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the inequality.)

Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A:

Q: 1 √1/₂ y+4 y² + y dy felt +2e²t

A: The given integral is a (y+4)/(y2+y).

Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = 3x² >= [² ² 1 1/3d₁ T -dt t-3 F(x)…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positiv Maximize…

A: The given function is;  f(x,y)=sqrt(43-x2-y2) Constraint: x+y-6=0

Q: dy (1M1) Find dx 70x9 1+ 5x = sin(xcy²) I

A:

Q: 2 ver portion cut from the sphere x² + y² + z² = 4 by the cone z = 0 and v= and use spherical…

A: We are asked to find the surface area of the portion.

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. x² + 2x…

A:

Q: Find the equation of the plane that passes through the point (4,-1,2) and is orthogonal to the line…

A:

Q: Write an equation for the quadratic graphed below x-intercepts: (-3,0) and (1,0). y-intercept:…

A:

Q: 3 dx (e³x + 1)

A: Find d/dx

Q: Select the correct answer. dg(x) dx dg(x) dx dg(x) dx = casi(v) 4 = 4x sin(x) 5 = x sin(x) g(x) = ft…

A: using fundamental thereom of calculs,

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

A:

Q: f(x)=1/(3x+1), a=3

A:

Q: Express your final answer at least three (3)decimal places. The population of a townin…

A:

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A: The function is given by fx = 3x2+5x-3x2+3x-10 To evaluate: The equation of vertical Asymptotes and…

Q: Opens left or right Vertex: (-7, 9) Passes through: (-4, 8)

A: Given:   Vertex: (-7, 9)   Passes through: (-4, 8)

Q: Find the outward flux of the field F = 6xyi + 4yzj + 2xzk across the surface of the cube cut from…

A:

Q: Suppose that y varies inversely with x, and y = 4 when .x = 3. (a) Write an inverse variation…

A: Solution of given question is written in below steps.

Q: Find the average value of f(x) = 8√√x-73x over the interval [0, 2]. Submit an exact answer using…

A: The function f(x)=8x-7x3 over the interval 0,2

Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 Σ n=1…

A:

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

A:

Q: f(x)=1/(1-3x); 1.08-1

A:

Q: Consider the function f(x)=√x+1-5 for the domain [- Find f(x), where f¹ is the inverse of f. Also…

A: NOTE: Refresh your page if you can't see any equations. . substitute y for f(x)

Q: 00 Evaluate Σ n = 1 1 n(n + 1)(n + 2) Hint: 1 n(n + 1)(n + 2) = 1 2n n+ 1 I + 1 2(1₁²+ 2)).

A:

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A:

Q: Find dx О А. О в. 0 с. 16 X * - *$*). - X -20%√/x 16 4 X x5 55/4 3 5 16 OD. 3 х

A: Derivative  of [4/x4 -4 5sqrt(x)].

Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x − 7)² In²(y +…

A:

Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A:

Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (3.-1.1)…

A:

Q: To evaluate the integral 1 3 √100+ x² -dx. which of the following substitution should be used?…

A: Consider the integral  ∫3100+x2dx

Q: Which of the following answer choices represents the limit definition of the definite integral below…

A: Solution of given question is written in below steps.

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: Cost of membership plan = $40 Let No.of driving hours = x

Q: (2 ofy f (x, y) = Find dy 3x²-y + 5x²y² 2 3

A:

Q: r(t) = (-2 cos (2t), 3 sin (3t), ln (2t)), then the fr(t)dt is equal to 3 -cos (3t), tln (2t) - t) +…

A: Here we find the correct option,

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 8,    (2, 1) ∇f(2, 1) =

A: We have to find the gradient of the function  f(x, y) = 2x+4y2+8  at the point (2, 1).

Q: Use a sign chart to solve the inequality. Express the solution in inequality notation and in…

A:

Q: Let f(x) = 5x²-29x-6 x² +19x 150 (A) lim f(x) X-6 Find the indicated quantities, if they exist. (B)…

A:

Q: 00 Σ (5 sec1(k+1)-5 sec -¹k) k=1 Sn= Select the correct choice below and, if necessary, fill in the…

A: For a series ∑an the sequence of partial sum Sn is just the sum of the series for first n  terms.see…

Q: Identify the symmetries of the curve r=7+7 cos 8. Then sketch the curve. Is the curve symmetric…

A: see below the figure and answers

Q: Given the integral below, find the best lower and upper bounds for F that the comparison theorem can…

A:

Q: lim n-78 √√3n+2 3ntz 1 h

A:

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A:

Q: Find the area inside one loop of the lemniscate r² = 2 sin 20. The area inside one loop of the…

A: Area of a closed region in polar coordinate is given by A=∬rdrdθ see below the answer and…

Q: Complete detailed solution. What is the derivative of 6 f(x)=(√2-1)(3√x+1)

A:

Q: Question 10 of 10 U Sketch a possible graph of a single function satisfying all of the following…

A: We have to sketch the function.

Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 9 1…

A:

Q: -21x Use substitution to find the Taylor series at x = 0 of the function e What is the general…

A:

Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

A: