ii) Read the graph below and say whether limx→-3 f(x) exists: y=h(x) -9-8-7-6-5-4-3-2 9876 8+ 7+ 54321 5 4- 3+ 2+ 1+ 1234

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

A: r=eθ,3π4≤θ≤3π2

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: The given curve is rotated about the x-axis. Set up, but do not evaluate, an integral for the area…

A: Recall:Area of the resulting surface rotated about the x-axis :If the curve y= f(x) ,…

Q: Does the set of all positive rationals form a group with the multiplication operation? Either verify…

A:

Q: Find the differ y = √3 dy= = Evaluate dy fc x = 1, G y =

A:

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: To determine the given equation is linear or non linear.

Q: Sales The profit for a product is increasing at a rate of $5600 per week. The demand and cost…

A: The profit for a product is increasing at a rate of  per week.The demand and cost functions for the…

Q: Consider the following differential equation to be solved by the method of unde y" + 2y = -18x²e2x…

A:

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. dy dx…

A: To find:-

Q: Find for the following: (a) xy = cot(xy) dy dx (b) x²y = y

A: To find  for the following: (a) (b)

Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

A:

Q: What is the volume if a 6 inch square is cut out

A: Consider the box

Q: 6. Given f(x) = 3x - 1 A. Find (f-g)(x) B. Find (fog)(x) report domain and simplify C. Find (3) (2)…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

A:

Q: Given: f(x)=4x-10 and g(x)=√x-6 Determine the following: (f-g)(10)=0 (HM)={ (fog)(7)=O -O (gf)(6) =…

A: The given functions are  and

Q: Solve the equation. 7 X-4 X = 5 2x²5x- 12 X 1 2x + 3

A:

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. maximum value:…

A: To find the maximum and minimum values of f(x,y)=xy on the ellipse 5x^2+y^2=4, you can use the…

Q: Find the length of the arc of the curve-y = (x − 2) = from x = 0 to x = 6

A:

Q: Verify the following identities: 1. tan y csc y 2. 3. tan x sec x = sec y cos y sin x cot x sec x…

A:

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

A:

Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

Q: taman X Find dimensions of rectangular fenceline that uses the least amount of material and will…

A:

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

A:

Q: Verify that f(x) = 2x^3 + x^2 − x − 1 satisifies the hypotheses of the Mean Value Theorem on the…

A:

Q: 11. Identify the horizontal asymptote of * 3 f(x) = +2 x-2 Oy=1 Oy=2 y=3 Oy=-2 Identify the domain…

A: Horizontal asymptote:If  then the line y=L is the horizontal asymptote of the function f(x)

Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

A:

Q: Given C = x³ – 6x² + 9x +4 13 a) Find C'(x) = Find any critical values of C'(x) b)x= Use interval…

A: Given,

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: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: The function is given byTo determine: The absolute maximum and minimum values of the function.The…

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

A:

Q: Suppose f (x, y) =x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

A:

Q: 1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral…

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: Evaluate the indefinite integral. Answer = +C St tan¹ (2x) dx

A: Let,  A=.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the…

A:

Q: Given that f(x)=√√16-x² and g(x)=x+4, what is the rule and domain for (+)(x)₂ Only one item from the…

A: Given,

Q: Solve the second order. 1. eq Y Ý + Y

A: The given differential equation is

Q: SYSTEM: x + y + z = 6 2x - y + z = 3 3x z = 0 -

A:

Q: Write the expression without absolute value symbols. (Simplify your answer completely.) |n² - 101…

A:

Q: Work of 4 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: What is the unit tangent vector T(t) on the curve r(t) = (cos(t), 3t, 2 cos (2t)) when t = 0? Select…

A:

Q: Find f. f(t) f'(t) = t³ + -/-/7₁ t5 t> 0, f(1) = 4

A:

Q: Q/ solve equations 1- y' = ky 2-x(1+y²) dx =y(1+x²) d;

A:

Q: 1. If y2 = 10x, then A. - 5 2xy 1 C. -2232 2x d² y dx2 = B. D. - 1 5x 2y 5xy 2

A: Given,

Q: Consider the following. x = e-5t, y = e5t (a) Eliminate the parameter to find a Cartesian equation…

A: Consider the following.To eliminate the parameter to find a Cartesian equation of the curve.

Q: let h(y)=(y-3y2)5(y2+2)6  h'(y) in simplified form.

A:

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: 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: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

A: