Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and (-1,7), a negative derivative over (7,00), and a derivative equal to 0 at x= -1. Which of the following graphs matches the description? O A. B. C. D. L L 15

Q: Find the absolute maximum and minimum of f(x, y) = x + 3y within the domain x² + y² ≤9. 1. Absolute…

A: Here to use the lagranges multiplier to find the maximum and minimum value of tehe function f(x,y)…

Q: Evaluate the integral. 1 -3 6²3 16 + r² dr

A:

Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) | 0 ≤ y ≤ x ≤ 1}. D Then the double integral…

A: We have to find D.

Q: - 5. Sketch the graph of f(x)= x² – 5x + 6 using the Vertex and the X-intercept. Identify the axis…

A: Explanation of the answer is as follows

Q: ind the equation of a line that passes through A(1,-1) and is perpendicular to the line (x,y) =…

A: The equation of a line that passes through A(1,-1) and is perpendicular to the line…

Q: b. 1 1 + In u น - du

A: We can you evaluate the given integral by using the substitution v = ln u

Q: Integrate => = dr ( (bsin) dø => lnr = Letiu 1-b cos / dy = - (-bsin D) 14 1 (trusteena aid) b sing…

A: Integral question

Q: Find the center of mass x of the point masses lying on the x-axis. m₁ = 8, m2 m₂ = 8, m3 = 8, m4 =…

A: We have to find center of mass.

Q: 3. Find the volume generated by revolving the ellipse whose equation is a² x-axis. 4 лab² (Ans. 3 )…

A:

Q: Determine the direction angles for the line with parametric equations x = 5 + 2t, y = 12 - 8t, and z…

A: Direction angle

Q: Solve the equation 2x-1= 3x+1 algebraically.

A:

Q: 5) Find all values of x for which En=1 nxn (n+1)(2x+1)n converges absolutely.

A:

Q: 9. Find the volume that will be generated by revolving the area bounded by the curve y = cosh x in…

A: We need to volume.

Q: 2. Which of the following sets of ordered pairs could be part of a linear function? F II (0, 1), (3,…

A:

Q: Evaluate the following integrals C. [x√x + 1dx

A:

Q: The base of a three-dimensional figure is bound by the graph y = sin(x) + 1 on the interval [0, π].…

A:

Q: While buying a new car, Derek made a down payment of $1,000.00 and agreed to make month-end payments…

A:

Q: Calculates the JR f(x,y)dA bounded by the given region I Loyan dA where the region S is given by the…

A:

Q: If g(x, y) = x² + y² 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector…

A: Given that , gx,y=x2+y2-6x find the gradient vector ∇g1,6 and tangent line to the level curve…

Q: Find 2 2 [²³²³ (5x + 2y) dxdy

A:

Q: 4 Find the coefficient of the given term when the expression is expanded by the binomial theorem…

A: Find the coefficient of x2y7 in (2x+3y)9 using binomial expression.

Q: 1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) X + 17 J dx x² + 16x + 68

A:

Q: For the function f(x) = f'(x) = 0 x² 1+x find f''(x). Then find f''(0) and f''(8). 1

A:

Q: 1. Evaluate the iterated integrals. √27x² (a) [sin - dydx (b) √√x² - y² dydx

A:

Q: Starting at age 30, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A: We have to find the value of IRA.

Q: d²y dx² - y = = x - x - 1

A:

Q: f(x) is continuous on (-∞0,00) and has critical numbers at x = a, b, c, and d. Use the sign chart…

A: As per the company guidelines We can first three parts only. Please understand. Kindly repost the…

Q: Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to…

A: Solution is here

Q: really need help with drawing this graph I already got the area of the region i just need help with…

A: Follow the procedure given below.

Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: Use logarithmic differentiation to find the derivative of the function. y = (x5 + 2)²(x4 + 4)4 y'(x)…

A: By using logarithmic differentiation to find the derivative of the given function.y=x5+22x4+44

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: All Solve the following by L apace transformy" + 4y' + 3y = 0 ,y(0) = 3 y'(0) = 1

A: Given :y''+4y'+3y=0 y(0)=3 and y'(0)=1

Q: Hi, I am unable to click on link to follow steps since the work is show as an image. Can someone…

A: Taylor expansion of f at x=a : f(x) ≈ ∑n=0∞ fn(a)n!(x-a)n = f(a)+f'(a)(x-a)+f''(a)2!x-a2+...

Q: dx dt 4x + y dy x + 2y dt a) Find the general solution for x(t) and y(t) b) Solve the initial value…

A: Given that,

Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

A:

Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

A:

Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = −1 and B ′(24) =…

A: Given thaty=B24 x=24y=B24 =-1B'24 =-14To :find equation of tangent line Solution :equation of line…

Q: For which of the series below the Integral Test can be used to determine whether the series is…

A: Recall the integral test:If fx is continuous, positive, decreasing on the interval k,∞ andfn=an…

Q: 14) A 300-foot cable weighting 4 pounds per is hanging from which 300 feet Level. Find ground the…

A:

Q: The manager of a restaurant found that the cost to produce 100 cups of coffee is $10.55, while the…

A:

Q: Use the Inverse Function Theorem to find (s−¹)' (6) given that s(x)=√√-8x - 4. Note that s(-5) = 6.…

A:

Q: 2. Sexdx

A:

Q: PLEASE RECHECK THIS ANSWER AND ANSWER IN 2 DECIMAL PLACES. UPVOTE WILL BE GIVEN

A: the given solution is correct.

Q: Find the volume of the solid bounded by the elliptic paraboloid z = 2 + 5x² + 4y², the planes x = 4…

A:

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A:

Q: 6. Bonus ( OL Solve for m 50 11 10.31 ffm m(8xy + x?)dxdy=3, 0<y<x<1

A:

Q: ■ Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(-1, -2, -3)…

A: Distance of a point from plane

Q: Use Newton's Law of Cooling, T = C+ (To - C)ekt, to solve the problem (bonus) 11) A lasagna removed…

A: