Differentiate y=11x³ +4

Q: Match the equation with its graph. y = 2x² + z² XA ZA XA ha

A:

Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2-x 3

A:

Q: sy(

A:

Q: x², and x = y³ (x) ≥ (0)| y = x

A: Given data:- The given equations are, y=x2x=y3 Where, x≥0

Q: 3) A university has 10 lecture halls. Each lecture hall has 15 rows of desks supo de With 5 desks in…

A: totak lecture halls=15

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

A:

Q: Please show all workings in each question neatly and in detail. 1. Evaluate the following indefinite…

A:

Q: If F(x) = 5x/(1+ x2), find F'(2) and use it to find an equation of the tangent line to the curve y =…

A:

Q: f (x, y)=√x-2+√y-1

A: The objective is to find and and sketch the domain of the function.

Q: lim x118 x³ + 8x 2x³ + 5x² - 2x - 2

A:

Q: A projectile is launched into the air. The height of the projectile above ground can be modelled by…

A:

Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

A: we need to find out thr dimensions that will minimize the surface area

Q: Use an appropriate table of values to find lim h->0 b^h-1/h where b = 48, accurate to four…

A: The given limit limh→0bh-1h We need to find the limit for b=48

Q: Given f(x, y, z) = xyz, find fyyx

A:

Q: It is -9 not positive

A:

Q: Consider the following function. g(v) = v³ - 27v + 3 Find the derivative of the function. g'(v) =…

A:

Q: Use the given graph of f to find a number & such that if 0 < x - 3| < & then. If(x) - 2| < 0.5. y 8…

A: Given graph:-

Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

A: Given data:- The given differential equation is, dy+2xy-xe-x2dx=0

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We can find the limit .

Q: A ladder 15 ft long leans against a vertical wall. If the lower end is being moved away from the…

A:

Q: Suppose that f is continuous on [0, 6] and that the only solutions of the equation f(x) = 3 are x =…

A: f is continuous on [0,6] and that the only solution of the equation f(x)=3 are x=1 and x=5.If f(4)=5…

Q: The sun is 20 above the horizon. Find the length - Subast a shadow cast by a park statue that is 24…

A:

Q: Rewrite each of the following as a power function in the form kx", or state that it is not a power…

A: Given, 5x3;x3;72x

Q: Question 1 dy 1) Consider the equation 25x² +9y² = 225. Use Implicit Differentiation to find da (c)…

A:

Q: Use the tabular method and the properties of limit to find the limit X 1 1) lim 2 3 X-0 ()

A: limx→02{13)x =2 since,  limit f(x)= L exists. By Tabular method property  -- limit f(x) exist and is…

Q: 1. In each of the following initial value problems, determine the maximal interval in which the…

A:

Q: 3. Find the solution of the IVP: ry dy + (x² + y²) dx = 0, x>1,

A:

Q: x² - y² = 25, x ≥ 0, y = −5, y = 51

A:

Q: If y = sin(x - y) find y'. A. cos(x-y) 1+cos(x-y) B. cos(x-y) 1-cos(x-y) C. cos(x - y) D. -cos(x -…

A:

Q: 2. Find the derivative of each of the following functions: y = x¹2 (i) (ii) (iii) (iv) y = 3x ¹ y =…

A: 1) y=x12Differentiate w.r.t.'x'dydx=ddx(x12)We know thatddx(xn)=nxn-1Thereforedydx=12x11

Q: The unit tangent vector for the parametrized curver (t) = (8, cos 2t, 2 sin 2t) at 0 < t < 2n is

A: To find the unit tangent vector

Q: 3. Determine the domain and range of h(x) = √√4 – x

A:

Q: 5. Choose the correct answer for the number of (a) the vertical asymptote(s) (b) the horizontal…

A:

Q: Evaluate e sin(x)dx. (Hint. Use integration by parts twi

A:

Q: On the planet Sulvania, a mountain with an elevation of 1840 feet is the highest peak on the east…

A:

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =…

A:

Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. r(t) @ = (?)i + (x +…

A:

Q: Construct the truth tables for the given compound statements. 1. ~p ^ ~q р T T F F q T F T F ~P ~q…

A:

Q: y ( x ) = (₁ e ² + ( ₂ e 2X + - 3e³x; y(0) = 0, y'(0) = 0

A: Given:- yx=c1ex+c2e2x+3e3x y0=0,y'0=0

Q: For the function f(x, y) below, determine whether there is a value for c making the function…

A: The transition value is x = 4   The function f is continuous at all points (x,y) where x is not…

Q: find the gradient of z = x² + y² - 3x4 at point (2, 1)

A:

Q: 12-14 Simplify the express 12. tan(sin ¹x) 13. sin(tan ¹x) 14. sin(2 arccos x)

A:

Q: 1) Let f(x) Choose the best answer. = sin² (3x4). Derive the derivative f'(x).

A: The explanation of answer as follows

Q: 7 If g(s) = 8√s +- S + 4 VS + 70, compute g'(s).

A:

Q: Given s(t) = 3t² + 3t, where s(t) is in feet and t is in seconds, find each of the following. a)…

A:

Q: Area: In the following items, find the area bounded by the curve or lines. Sketch its graph. b. x =…

A:

Q: Decide which of the following are true. Choose all that apply. Review intersections and unions here.…

A: Operations on Sets   Union of Sets If set A and set B are two sets, then A union B is the set that…

Q: 50. y” – 4y = sinh 2x variation of parameters

A:

Q: Let g(x, y) = sin(8x + 2y). 1. Evaluate g(1, -2). Answer: g(1, -2) = sin (4) 2. What is the range of…

A:

Q: 1. Determine the domain and range of f(x) = 5

A: The domain of the polynomial function, fx=a0+a1x+a2x2+....+anxn is always a real number. Where n∈N…