x²-x (2x-3)² S(x)=√ 3 N/W Find, if any, (i) the interval(s) on which the function f is strictly increasing or strictly decreasing. (ii) the interval(s) on which the function f is convex or concave. (iii) all the relative extreme point(s) and point(s) of inflexion of f. (iv) all the vertical asymptote(s) and horizontal asymptote(s), if any, of the graph of y = f(x).

Q: Given x²y' = x and y (3) 3, solve for y. Do not include y = in your answer.

A:

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 81 + x² -…

A:

Q: The marginal cost for a company to produce q items is given by MC(q) = 0.003q²-0.6q+600. The…

A:

Q: Learning Target IF1: I can correctly differentiate and antidifferentiate exponential functions. 1.…

A:

Q: What lump sum do parents need to deposit in an account earning 15%, compounded monthly, so that it…

A:

Q: When an apple orchard plants 44 trees per acre, each tree yeilds an average of 310 apples per month.…

A: Given: When an apple orchard plants 44 trees per​acre, each tree yields an average of 310 apples per…

Q: Find the area enclosed by the curve x = t²- 3t, y = √t and the y-axis. Step 1 The curve x = ²² - 3t,…

A: We have to fill the blanks given

Q: Given function f(x) .determine: the equation of the oblique asymptote is: y=x-2 y=x+6 y=x-3 Oy=x+5…

A:

Q: 2 320 Find an equation of a parabola that satisfies the given conditions. 19) Vertex (5, 4), focus…

A:

Q: The plane that passes through the point (5, 4, −2) and is perpendicular to both 4x + 2z = −20 and 4x…

A:

Q: Find the area between f(x)=x2−25 and the​ x-axis from x=0 to x=6.

A:

Q: If a ball is thrown into the air with a velocity of 57 ft/sec, its height in feet after t seconds is…

A:

Q: Differentiate y e' cos x². A. -esin x B. e (cosx-2x C. e cosx-2x sin x² sin x) D. -2xe* sin x BUD

A:

Q: . Find the limit if it exists, otherwise explain why it does not exist: Do not use L'Hôpital's Rule…

A:

Q: erty' (t) = -8

A:

Q: If f(x) = = [²² S then f'(x) = 0 f'(-5) = t² dt

A: We have to find the function f(x)

Q: Write the equation in standard form for an ellipse centered at (h, k). Identify the center and…

A:

Q: Suppose u = (0, −1) and ō = (2, −3) are two vectors that form the sides of a parallelogram. Then the…

A: Given two sides of parallelogram:u→=0, -1        and       v→=2, -3

Q: From a thin piece of cardboard 50 in. by 50 in., square corners are cut out so that the sides can be…

A:

Q: What is the first derivative of the expression (xy)* -e? A. B. 0 x= X

A:

Q: dy dx Given y = 4x² + 3x, find when x= -1 and dt dy 91² M (Simplify your answer.) 4.

A:

Q: Find a. 10 10 J (Type an exact answer, using x as needed.) f(x) dx for each graph of y=f(x), where…

A:

Q: · ƒ' (5) = 0, ƒ' (x) 0 when x > 5, ƒ" (2) = 0, ƒ” (8) = 0, f″ (x) 8, ƒ" (x) > 0 for 2 < x < 8, lim…

A:

Q: In a free-fall experiment, an object is dropped from a height of h = 576 feet. A camera on the…

A:

Q: 3. The terms of an infinite geometric series are given by 3x-4 a = 5(0.2) ³-4 Show all work to find:…

A:

Q: dx Assume that x = x(t) and y = y(t). Let y = x² +4 and dt Find dy dt dy dt = when x = 1. (Simplify…

A:

Q: -1 s¯¹ (-²) COS

A: The given trigonometric expression is:  cos-1-12

Q: Find the exponential model y = aebx that fits the points shown in the graph. (Round your value for b…

A:

Q: +00 1) Verify that the radius of convergence and interval of convergence of Σ(³x + 4)" n² n=1 5 is R…

A:

Q: 9. Use spherical coordinates to evaluate ¹-² 1-x²-y² (x² + y² + z²)² dz dy dx

A:

Q: - An ellipsoid is formed by rotating the graph of + y² = 1 about the y-axis. A right circular cone…

A: The equation of the ellipse is x24+y2=1 ⋯⋯⋯⋯⋯ 1 it is rotated about y-axis to formed an ellipsoid.…

Q: Rewrite the expression cos(sin-¹(x) — tan¯¹(y)) √₁-x² + xy V1-2 as an algebraic function of x and y.…

A:

Q: 2 1 A B 2 what is the slope at points A, B, and C respectively?

A:

Q: 1. Part 1 - Application The table below shows the February balance of a simple interest savings…

A: We have to find which type of progression does it belong to

Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 3 m³/min. How fast is the…

A: Volume of cylinder with radius ( r ) and height ( h ) is given by  V = πr2h When cylinder is filled…

Q: (c) Set up (but do not evaluate) the iterated integral to find the volume of the solid enclosed by y…

A:

Q: Problem 2. Find the volume of the solid generated by revolving the region bounded by y=√x, y=0, and…

A:

Q: Consider the general first-order linear equation y'(t) + a(t)y(t) = f(t). This equation can be…

A: The given differential equation is;  y'(t) + 2 y(t)/t = 2 -5t, y(3)=0.

Q: Find the general solution of the differential equation. (Remember to use absolute values where…

A:

Q: Use implicit differentiation to find 5y²= 3x - 4 3x+4 dy dx

A: implicit differentiation

Q: The graph of the second derivative f"(x) of a function f is shown. State the x-coordinates of the…

A:

Q: 1. Maintenance costs for a building generally increase as the building gets older. From past…

A:

Q: Given the demand function D(p)=400-4p^2. Find the elasticity of demand at a price of $8.

A: We need to find elasticity of demand.

Q: Find the points on the curvey = 10x² closest to the point (0, 1). ) and (

A: We have to find the points on the curve which are nearest to (0,1)

Q: Let C(q) represent the cost, R(q) the revenue, and a (g) the total profit, in dollars, of producing…

A: Given that the Cq=Cost function Rq=Revenue function And πq=Profit function

Q: The radius of a circular disk is given as 28 cm with a maximum error in measurement of 0.2 cm. Use…

A: The radius of a circular disk is given as 28 cm with a maximum error in  measurement of 0.2 cm. (i)…

Q: Given the two vectors a = i-2j+3k and b = 3i-2j+3k, Find the area of the parallelogram whose…

A: The vector a is given as a = i-2j+3k. The vector b is given as b = 3i-2j+3k.

Q: 2. Prove that lim √√n²+1² √√² +2² 2 + √₁² + n² = ln (1 + √²) +...+ (Use the Riemann definition of…

A: To prove that,  limn→∞1n2+12+1n2+22+...+1n2+n2=ln1+2

Q: A zero of a polynomial is: A real number that makes f (x) = 0 A real number that makes x = 0 A…

A:

Q: If cos t= - G|5 and if the terminal point determined by t is in Quadrant III, find tan t cot t + csc…

A: cost = -45 As we know that cosθ = basehypotaneous base = 4 hypotaneous  = 5