By using the definition of the derivative, find dx -2x² I.

Q: Find the solution of the following Differential Equations 1) ydx+xdy=0

A:

Q: Substitution Suggested by Equation 1. sin y(x + siny) dx + 2x² cos ydy = (

A: Let's solve given diffential equation.

Q: the answer is incorrect when put into my homework

A:

Q: 8. cos(3x) = 0

A:

Q: Differentiate f(x) = seca 1+tan For what values of x does the graph of f have a horizontal tangent?

A:

Q: lim 5 216 H-X 10 x12+36 x16 ||| Number Show your work and explain, in your own words, how

A: Let's find limit.

Q: Evaluate the integral. 6 [T 0 -6 36-x² 1 -√√36−x² (x² + y²)1/2 - dy dx dz =

A:

Q: The graph of a polynomial function f is shown below. a. The root(s) of f with odd multiplicity is…

A: Note: Since, the student has mentioned to solve parts (c) and (d), so we are solving accordingly to…

Q: z=4x+3y 2x+3y≤12 4x-2y≤8 x≥ 0 y≥ 0 Find the maximum and sketch on a graph

A:

Q: n=1 9 (3n − 1) (3n+2)

A: To find: ∑n=1∞93n-13n+2 ∑n=1∞9(3n-1)3n+2=∑n=1∞ 33n-1- 33n+2

Q: 2) Find parametric equations for the upper semi circle with center (4,3) and radius 5. Sketch such…

A: Given: centre of circle = (4,3) radius = 5 To find the parametric equation for the upper semicircle.

Q: Test the series below for convergence using the Ratio Test. n=0 ( − 1) "32n+1 (2n + 1)! The limit of…

A:

Q: Evaluate the triple integral J solid tetrahedon with vertices (0, 0, 0), (1, 0, 0), (0, 5, 0), (0,…

A:

Q: Consider the integral 0 /2 y cos(xy) cos y √sin(xy) + 1 dy dx.

A: Fubibis Theorem:- If f(x,y) is continuous on the region form by a≤x≤b, c≤y≤d then…

Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

A:

Q: Differentiate y=(x^2+5)(cubed root x^2+2) y'=

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interva as a…

A:

Q: If xy + y² = 1, find the value of d²y dx (0, -1) at the point (0,-1). (Simplify your answer.)

A: I am attaching image so that you understand each and every step.

Q: C) Write a function f(x, y) such that the domain of f(x,y) is D = {(z,y) | 2² 29-y²). Also provide a…

A:

Q: are currently being made per week but production levels are increasing at a rate of 30 tires/week,…

A: Given query is to find rate of change of cost.

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…

A:

Q: 19. f(x) = 1 x² - 2x + 2

A:

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: Find the parametric equation for the line that tangent to the given curve at the given parameter…

Q: 2- find dw andz edt -e. if € x² + y² + Z² when x = e cost y=csint

A:

Q: The matrix D is defined as follows. Use a graphing utility to carry out the indicated matrix…

A: Let's solve.

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm/min.…

A:

Q: 17. f(x) = 2x³ + x² − x + 3

A: The given function is fx=2x3+x2-x+3. We have to find the critical numbers and increasing and…

Q: (a) Suppose y = f(x) is an unknown function but that you know that f(4) = 11 and f'(4) = -0.18.…

A:

Q: t sec² (2t)

A:

Q: Using polar coordinates, evaluate the volume of the solid in the first octant bounded by the…

A:

Q: n=1 √n +1 √n+3

A:

Q: (b) ln 3 1.™D C 0 (In 3)²-y² [x² + y² dx dy

A: The given integral is: ∫0ln 3∫0ln 32-y2 ex2+y2 dx dy

Q: Let f(x) = (sin x)³ + (cos x)³ 3 Enter the total number of critical numbers on the interval [0, 27].

A:

Q: State the domain of  f(x) =  8^ √ 5 − 2x.  Enter your answer using interval notation. The domain is

A:

Q: Evaluate the triple integral J T xy dV where E is the solid tetrahedon with vertices (0, 0, 0), (1,…

A:

Q: Using polar coordinates, evaluate the volume of the solid in the first octant bounded by the…

A:

Q: Given f (9) = 2. f (9) - 9. g (9) -1, and g (9) - 7, find the values of the following. (a) (b) (fg)'…

A:

Q: Question 4: a) Find the point P on the curve y = √ that satisfies 2 cos(2x) = 1 for 0 ≤ x ≤ b) Find…

A: a To find the point P on the curve y=xex that satisfies 2 cos2x=1 for 0≤x≤π4.b To find dydx of…

Q: Evaluate the following indefinite integral: S -dx 2x-3 x³+4x

A:

Q: 1- Find dw dł if w=4x²5 and x = t³² +4.6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The matrices D and F are defined as follows. 21 0- (²4³) D = 04 -1 FD= F = -1 04 13 Carry out the…

A: The given matrices are  D= 21304-1 , F= -120413 Find FD.

Q: Evaluate the triple integral (x + 3y) dV where E E is bounded by the parabolic cylinder y = 9x² and…

A:

Q: Given that f(x) = 1 4 x² Evaluate the 2022nd derivative of f(x) at x =

A:

Q: Use these equations to find az/ax and az/ay for the following. x + y + z = 5xyz дz = əx əz ду =

A:

Q: different

A: We have to set up integral for the volume  according to the given information

Q: Compute the double integral over the region D where D is the region bounded by y=x^2 and y=2x. ∬D…

A:

Q: Use implicit differentiation to find x + tan(xy) = 0 dx

A:

Q: Use the given graph of the function f to answer the following questions. Part 1: Intervals Find the…

A: The graph of the function f is given as

Q: Please answer 15 d only

A: 15. The position of a particle is st=9-9cosπt3 We have to find when the particle speeding up and…

Q: Use the Root Test to determine if the series converges absolutely or diverges. 3k+9 € (-³K+9)" k=1 k

A: