Find y" for 18 = 4x² +9y² and simplify.

Q: 1.) dy dx 2x-y² 1+2yx = 0

A:

Q: Find the solution of the differential equation (t² + x²)dt + (2tx − x) dx = 0. a. 2t³ - 6tx² – 3x² =…

A:

Q: Sketch the level curves of g(x, y) 1- y² x² where k € {-1,0, 1}

A:

Q: 3. x²-3 2 x² + x ૨૨ IV 1

A: Please see the below picture for detailed solution.

Q: ) = (x + 3) can be expressed in the form f(g(x)) where f(x)

A: We have to find the function g(x) according to the given information

Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: xekx (f) S dx where k is a constant. If there are any particular values of k where your (1 + kx)²…

A: The given question can be solved using the concept of integration by parts

Q: O 3 m/~ ~0/3 3 3 The function g is defined by g(x)==- What is the instantaneous rate of change at x…

A: Topic = Rate of change

Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁=3 and x₂ = 5. b.…

A:

Q: dentify and sketch the domain of f(x, y) = √x-y In (1 + y - x²)

A: solution is given below

Q: Given that f(x) = x² - 9x and g(x) = x -9, find: a) (fog)(3)- b) (gof)(3)=

A:

Q: 5π Find the equation of the tangents to the curve y = sin x at x = 0, +, and 2 their tangents. Label…

A: To find the equation of the tangent.   y = sin x at x = - pi .  To find the tangency point.   y =…

Q: The function h(x) defined as: f(x)= = 1 x + 7 can be expressed in the form f(g(x)) where g(x) = x +…

A:

Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

A:

Q: Evaluate lim (√9x² V92 _5 +1+ 5x+1+3x). - x418

A: Find limit of function

Q: Given: (x is number of items) Demand function: d(x) = 264.5 0.2x² Supply function: s(x) = 0.3x² Find…

A:

Q: Let f(x, y, z) = x² - tany² 2xyz Solve for fzzy-

A:

Q: Solve the given linear differential equation. Use C as the constant of integration in your solution.…

A:

Q: Part B: ALGEBRAICALLY find the value of "k" that would make the function continuous Upload a picture…

A: Here we have given a continuous function: f(x)=kx2       : x≥2kx+14 :  x<2 If the given function…

Q: Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 - 3x] + x, " x < -2 x ≥ −2…

A:

Q: Consider the function y = f(x) = x² + 4x + 4 and the x-value xo 8. (a) Find a formula for the slope…

A: Topic- slope of a tangent line we are given a function, f(x)=x2+4x+4 and x0=8

Q: . The population of Bougainville exponential function P(t) = ae use it to calculate when the…

A:

Q: x4+5x+6 x-2x4+5x-6 lim

A: The given limit is a divergent and it does not exists

Q: A vehicle travels in a straight line for t minutes with a velocity of v(t): = for 0 ≤ t ≤ 15. Step 1…

A:

Q: 14. Find f'(x) using the limit definition of the derivative. 3x x+1 f(x)=

A:

Q: 2-L-¹ [ 6 2S-8 - 3-2S 95²-16 + 8+6S 4 S²+9

A:

Q: Let f(x)=3x+5f(x)=3x+5 and g(x)=4x2+2xg(x)=4x2+2x. After simplifying, (f∘g)(x)=

A: We can find the composition of the function.

Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

A:

Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

A:

Q: The graph below is of a function f '(x) for some function f(x) with domain (-∞0, 00). 11

A: The given graph representing function f'(x) for some function f(x) with domain -∞,∞ f(0)=8 To find…

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point 1-z…

A: The given function is: f(x,y,z)=xy+yz+zxGiven point:  P=1,-1,2The given direction line:…

Q: lim X118 30x - 7 √√36x² + 7x V

A: limx→-∞30x-736x2+7x =limx→-∞30x36x2+7x-limx→-∞736x2+7x =limx→-∞30x|x|36+7x-limx→-∞7|x|36+7x…

Q: a. Use the definition mtan lim x→a f(x)= b. Determine an equation of the tangent line at P. c. Plot…

A:

Q: x² 36 Let f(x) = X- 6 Complete the table below. Round all table values to four decimal places, if…

A: Let fx=x2-36x-6To complete the table below. x 5.9 5.99 5.999 5.9999 6 6.0001 6.001 6.01 6.1…

Q: Part 2: Graph the linear equations using a table of values. 7) y = x + 2 X 7 4 0 -8 -6 -4 X+2 -2 6 4…

A:

Q: 20605 divided by 5

A:

Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx + xydy=0

A: Solution is given below:

Q: EXAMPLES 10. Find the DE of the family of SL with algebraic sum of intercepts fixed as

A:

Q: Evaluate_lim_ (√√9x² − 5x+1+3x).

A: Replace x with -a and then go ahead.

Q: B: Evaluate the following: 2- 6r (5.66) 5r (0.66)

A: Γ(5.66)=67.905 Γ(0.66)=1.366

Q: [2 13 1 01 1 1 10 02 To 21 0123 10

A:

Q: 3 SFF X ex

A:

Q: Find the solution of the differential equation (x + 3y)dx − xdy = 0. a. 2y - x = Cx³ b. 2y + x = Cx³…

A:

Q: If f(x): ƒ'(x) = f'(5)= = 7x² + 2x + 5 √x " then:

A: If f(x)= (7x2+2x+5)/√x  Find , f'(x) and f'(5)

Q: Given that f(x) = x² - 7x and g(x) = x + 8, find: a) (f+g)(-1): b) (fg)(1) c) (fg)(-1) = (-/-) ( −…

A:

Q: Decide if each set of inequalities provides sufficient information to determine lim f(x), and if it…

A:

Q: When purchasing a heat pump unit, an installer is given discounts of 12%and 2%. The unit is priced…

A: Given, Marked price (MP) of heat pump =$3400 Discounts 12% and 2%

Q: Find the limit of the following:  a) lim x→∞ (sin2x / x2) b) lim x→∞ (x - √x)

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Use a calculator to estimate the valuse of the limits correct to two decimal places lim h - 0…

A:

Q: The limit represents a derivative f'(a). Find ƒ and a. sin (+h)-/ h lim h-0 (Express numbers in…

A: