If y xy + x² + 1, then when x = 01/1/12 0 - 12/1/20 O nonexistent O -1 O-2 -1 dy d = ? dx

Q: Find the domain of the function. h(u, v) = √3-u² - v² Ou+v≤3 Ou² + v² 0 Ou+v<3

A:

Q: For y = f(x) = 7x², find f(x₁+AX)-f(x₁) Ax || f(x₁ +Ax) -f(x₁) Ax given x₁ = 5 and Ax=2.

A:

Q: 9. Locate all relative maxima, relative minima, and saddle points of the fol- lowing function f(x,…

A: The given function is

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: The given graph

Q: 4. Let f(x, y) = (a) (1,-1). Find the slop of the surface z = f(x, y) in the x-direction at the…

A: given function

Q: 4. Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A 300 gal B…

A:

Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

A:

Q: Evaluate the following integral, S yx² ds where C is given by y x5 for 0<x< 1. =

A:

Q: (Order your answers so the x-coordinates are in order from least to greatest.) f has ---Select---…

A:

Q: c) On the cartesian plane below, put a point where the following coordinates are. a) A (-5, 4) m i…

A: Consider the figure

Q: Write an equation for a line perpendicular to y y 4-4 and passing through the point (-8,7)

A:

Q: -3 3 -3 I У X

A: From the given graph The horizontal asymptote is The vertical asymptotes are and

Q: 7. Σ n=2W 3 2 n2 + I 00 8. Σ n?e=n n=1

A:

Q: What is a function that could have 17 X Question Help: Message instructor Submit Question Jump to…

A:

Q: Let f(x) = 2x + 3 and g(x) = -3x - 6. Compute the following. (a) (fog)(x) (b) (fog)(9) (c) (gof)(x)…

A:

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) =x² + y² subject to the…

A:

Q: For a standard normal distribution, find: P(-1.29 Z-1.07)

A: The given probability .The aim is to find the value of the probability using the standard normal…

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. tan(5x…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. 4 f(x) = x +-…

A: Critical point of the function is the value of the function at which derivative of the function is…

Q: Find the general solution: y" + 5y' + 5y = 0

A:

Q: Consider the following. f(x) = √√49 - x² Find the critical numbers. (Enter your answers as a…

A:

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

A: Radius = 60cmdr/dt = 0.01 cm/min.

Q: differentiate y(theta) = e^cot theta

A: given function

Q: Let f(x) = 5 − 3x²2 and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (e) (fog)(-1)…

A:

Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

Q: Find d'y dx² if f(x) = 3x³ (√x − 2).

A:

Q: Evaluate the following limit. lim 8+←8 15 ln x X = Note: Input DNE, infinity, and -infinity for does…

A: Given,

Q: Find a formula for the nth term of the sequence where an is calculated directly from the value of n.…

A:

Q: An island is located 42 miles N26°10W of a city. A freighter in distress radios its position as…

A: The figure

Q: Compute the average rate of change of the function on the given interval. g(x) = x³ x on [4, 5] -

A:

Q: Find the domain of the function f(x, y) = ln(x² + y² - 9) + √-y.

A:

Q: Let L denote the left-endpoint sum using n subintervals. Compute the indicated left sum for the…

A:

Q: for the function f(x)=x^2+ x find the equation of the tangent line to f(x) at x=1 calculus

A:

Q: 1 Ifh (r) = e*, then h' (r) =? 04 x O(z) = _ r2

A:

Q: If h (x) = (x² – 2x 43 04/0 0 - 12/25 3 00 - (x² – 2x − 1) ³, then h' (0) =? - 43

A:

Q: 7. 10 Consider the function f and the point Po given below. Find a unit vector u in the direction in…

A:

Q: Consider the following. {-x³ +3, -x² + 4x, x≤0 x > 0 Find the critical numbers. (Hint: Check for…

A:

Q: A piece of cardboard measuring 11 inches by 14 inches is formed into an open-top box by cutting…

A:

Q: Given that f(x)= Only one item from the answer bank will be used to complete each category. Not all…

A:

Q: Consider the function f(x, y) = x²y+y³ — 27y. f has f has a maximum a minimum f has a saddle f has…

A:

Q: Baseball A (square) baseball diamond has sides that are 90 feet long (see figure). A player running…

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A:

Q: Given the following integral and value of n, approximate the following integral using the methods…

A:

Q: 23-28 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and…

A: (a) To find the intervals on which f is increasing or decreasing, we need to analyze the derivative…

Q: 2. (y +y²)dx - (y²- 2xy+x)dy = 0

A:

Q: Show that the function is increasing on the given open interval. (Enter your answers as a…

A:

Q: ROBLEM No. 1. Solve the IVP: y"+6y-7y=0, subject to the initial conditions: y(0)=5; y '(0)= -3.

A: Given Differential equation is as follows

Q: Solve dy/dx = y2 - 4

A: Given the differential equations we have to find solve the equation

Q: Consider the function INTERMEDIATE WORK Using calculus give a sketch of y. Make sure you include the…

A: The given function equation is

Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .