1. Find the volume of the solid generated by rotating the region enclosed by z = 2y², x = y² +1 about and explain whether you used washers or shells (a): y = -2; (b): x = -1.

Q: Find the local maxima and minima for the function ƒ(x) = |x² + 4x − 5|. If there is more than one…

A: We have given function  fx=x2+4x-5 fx=x2+5x-x-5 fx=xx+5-1x+5 fx=x+5x-1 Range of the function is…

Q: Find the equation of the sphere if one of its has endpoints (6-7, 8) and (8, -3, 19). diameters 1=0

A:

Q: The vector in the opposite direction to ū= (2,4) and of half its length is

A: Given query is to find the Indicated vector.

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and y4 of the…

A:

Q: Air Purification During testing of a certain brand of air purifier, the amount of smoke remaining…

A: Recall Power rule dxndx=nxn-1

Q: The total spent on research and development by the federal government in the United States during…

A: Given query is to find the total spent on research and how fast it changing.

Q: 9. Find each partial derivative : (a) 8³% дудх2' (b) ეპიც əxəyəz' for z = ln (sin (x − y)). for w=…

A:

Q: A rectangle is inscribed in an ellipse given by the equation x^2/49+y^2/196=1. If (x,y) is a vertex…

A: NOTE: Refresh your page if you can't see any equations. . solve this equation for y the point…

Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

A:

Q: 5. Let f(x,y)= 2x+y x-2y a) Find the exact value of the f(-2,1). Simplify your result to lowest…

A: We need to find out the values of the partial derivatives at the points given.

Q: Which of the following is the polar coordinates for the point with rectangular coordinates (3√2,…

A:

Q: Find the derivative of the following functions using limits. 1. f(x)= 3x² + 4x-5 2. f(x)=x³2x²+x-3…

A: The given functions, 1. fx=3x2+4x-52. fx=x3-2x2+x-33. fx=x-12 We have to find the derivative of…

Q: Assume that the relation x = √500+ 5y² defines y implicitly as a function of x. Determine y" as a…

A:

Q: i need help with, b, c and d

A: Part b: A horizontal asymptote of a graph is a horizontal line y=b if the graph approaches the…

Q: Find the linear approximation of f(x)=ln⁡x at x=7 and use it to approximate ln⁡(7.05).   L(x)=? x +…

A:

Q: Find a vector function that represents the curve of intersection of the elliptic cylinder given by…

A:

Q: Let f(x)=√100-2². Use a linear approximation to f at (6,0) to approximate f(6.1). Your answer must…

A: Given function f(x)=100−x2

Q: Let f be a function that is continuous on [1,7] and differentiable on (1,7). Suppose 2 < f'(x) < 3…

A:

Q: Solve the quation x cubed - 13x squared + 47x - 35=0 given that 1 is a zero of f(x)=x cubed - 13…

A:

Q: an+1 Use to show that the sequence given by an (a) (c) Strictly increasing (b) Strictly decreasing…

A:

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 4y and y³ = x with y…

A:

Q: Leta = (5₁5) and b=<3₁-5) SO Why that Ba Sa+t6=<-4₁-207 S= +=D]]

A:

Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

A: limx, y→0, 0xy2x2+y4along path x=0=lim0, y→0, 00· y202+y4=lim0, y→0, 00=0along path x=y2=limy2,…

Q: 5. Let f(x,y)=2x+y x-2y a) Find the exact value of the f(-2,1). Simplify your result to lowest…

A: Given function:- fx,y=2x+yx-2y

Q: Find a function r(t) that describes the line passing through P(9,6,3) and Q(5,4,2). r(t) = (-4t+9..,…

A:

Q: Differentiate the given function using the appropriate rule(s). Your answer does not have to be…

A:

Q: Use the properties of logarithms to expand the logarithmic expression. Submit Answer x - 67 X X

A: Expand the logarithmic expression.

Q: Weekly sales of graphing calculators can be modeled by the equation s(t) = 10-te-t/20 where s is the…

A: Given a rate of change function for any physical quantity over a given period of time t, the total…

Q: Solve y'' + 4y' + 4y = 0, y(0) = 3, y'(0) = y(t) = 9

A:

Q: When a quarter is tossed four times, 16 outcomes are possible. HHHH HHHT HHTH HHTT HTHH HTHT HTTH…

A:

Q: x + 1 x-1 - Given: f(x)= -) solve: (f o g)(0) = and g(x) x - 3 x +3 b.) Find the domain of f, domain…

A:

Q: A tank with a capacity of 400 L is full of a mixture of water and chlorine with a concentration of…

A: Given A tank capacity is  400L , chlorine with a concentration of  0.05g/L Fresh water enters at…

Q: Find volume by revolving the given area about the y-axis using the shell method. Answer in terms of…

A:

Q: Differentiate the function. g(x) = = 1 (3x³ + 5x + 8)3/4

A:

Q: A man 5.5 feet tall walks at a rate 3 ft/s directly away from a street light which is 22 feet above…

A:

Q: 3 Define Q as the region bounded by the graphs of u(y) = -²(y-2). the y-axis, y = 0, and y =…

A:

Q: 1. Integrate each of the following. a. f 3x²e³x dx b. fxco. xcos(4x)dx

A: (a) Given that ∫3x2e3xdx

Q: Find a function r(t) that describes the line passing through P(9,7,2) and Q(3,2,9). r(t) = (-6t+9,,…

A: See this solution in below.

Q: If g(x) = cos(x) then g'(x) = g'(4) = (round to 3 decimal places)

A: If gx=cosx, then to find g'x and g'4.

Q: 3) Use the definition of the derivative (which involves limits) to calculate f'(2) given that f(x) =…

A: The function is given by fx = x-22+5 To evaluate: The value of f'2. Formula Used: The value of  f'a…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=√56x²-9y²-16x-31…

A: The function is given as , fx,y=56x2-9y2-16x-31+1-8x find the local minima , local maxima and saddle…

Q: The graph of f is given. (a) Find each limit, or explain why it does not exist. (i) lim f(x) x→2+…

A: Note:- These are multiple question. According to company rule we can do maximum 3 sub parts so i am…

Q: an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.5%…

A:

Q: Graph the following. 0 0 peacewise function. +£3. 3≤ t < 5 + 25

A:

Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We can find the particular solution in the below steps using the appropriate method.

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

A: To find indefinite integral.

Q: Find an equation for the tangent to the curve at the given point. Then sketch the curve and the…

A: The given function y=-2x3 at the point 1,-2 We have to find the equation of the tangent line and…

Q: Laplace transforms. y' + 9y = 0, y(0) = -1

A:

Q: Question Determine whether the series below is a geometric series, a p- series, an alternating…

A: The given series is cos(pi n)/(6n), n from 1 to infinity.