ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² – Inxy 2) и 3 хе*у +2 ArcTan y 3) u = =+2²- y + 22 – 32

Q: A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

A: Position , s(t), velocity, v(t) and acceleration functions, a(t) for t≥0 are:  s(t)=t3-6t2+9t ,…

Q: y = e from x=0 to x=1

A:

Q: 8. The general solution of y" + 4y = 3 sin 2x

A:

Q: Find the first derivative of  y = cos4 x – sin4 x y = x3   –  x2 cos x  +  2x sin x  + 2 cos x y…

A:

Q: x³ + x² - x - 1 lim X→1 X-1

A:

Q: 8. Find the first four terms of the binomial series for Vx +1 .

A:

Q: Which of the following is the expanded form of E (-1)*(k+ 1)2? k=1 A -1+4-9+ 16 – 25 B -4+9- 16 +…

A:

Q: Evaluate the integral: 1. - 1 (1- 5x + x³ – 2x5 5х + x3 — 2x5 dx x2 2. S(y³ – 3,/y+ Vy) dy

A:

Q: General solution of x dy = (2xe* – y + 6x2) dx

A:

Q: Find the function F(x) such that F' (x) = 8x and F(0) = 1 O 1+4x^2 O 4x^2

A:

Q: 7. Evaluate the following. 2 erty? + 29)dy dz A. 30 5.4 B. C. 2.3 D. 4.9

A:

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

A: See this solution in below

Q: Convert to a polar coordinates. 13. (0,–4)

A:

Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

A: Differentiate wrt x

Q: 1 Evaluate dx. - 9x In(7e® + 1) 9x 1 -dx = In(|7+ e– 9æ|) + C 7+e-9x 7. 9

A:

Q: x(x^2+1)y'+2y=(x^2+1)^3

A:

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

Q: Supply the missing integrand and the limits of integration dx dy _dy ху

A: The given integral:∫-11∫1eydxdyxy

Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: 7) Assume that the temperature of a person during an illness is given by: 5t T(t) : + 98.6, t2 +1

A:

Q: 1) и %3D Зх?у + xӀпу? — Inxy

A: 1.

Q: Find the volume gererot ed lby revolving the area bounded bay the parabolic arc Vx t vy = Ja and Hhe…

A:

Q: dx x³Vx? – 16

A:

Q: x dx 1o. 8 x-X

A:

Q: sorry I should of been clear, I need letter B to be worked out

A:

Q: lim, -r(csc Tx )(Inx)] -TC

A: The given limit,limx→1-πcscπxln x

Q: (1 – xy)-2dx + [y? + x²(1 – xy)-²]dy = 0 (y – cos?x)dx + cos x dy = 0 + Ri = E, where L, R, and E…

A:

Q: 4t + 98.6, where T is the temperature, in degrees Fahrenheit, at time t, in hours. 2+1 AT(t) 102+…

A:

Q: A box with no top that is twice as long as it is wide has a volume of 36 m3. If x is the width of…

A: A box with no top that is twice as long as it is wide has a volume of 36 m3.

Q: (26) Let f(x) = x²e=. For what value(s) of does f(x) have a horizontal tangent?

A:

Q: Supply the missing integrand and limits of integration. ... (3x² – 2xy + y³) dx dy = | dy A I (36-4y…

A:

Q: Solve sin (t) = - 8 cos (t) for all solutions 0 St< 2n t = Give your answers accurate to 2 decimal…

A: See this solution in below

Q: sec x lim X0 InX

A:

Q: Find the following integral 4sinxdx O -4 cos x + C O 4 cos x + C

A:

Q: If f(x) is an even function and f(x)dx = 5, find the value of , f(x)dx. %3D O 10 O 5 O cannot be…

A:

Q: Solve fo x: 3csc(x) + 2=0

A:

Q: Find the standard equation of an ELLIPSE with FOCI (3, ±2)and MAJOR axis with length 8. A. + = 1…

A:

Q: Converting 1530 degrees to radians will correspond to which value? 19n 3 201 B 3 29Tt

A: The value of θ° to radians is given by        ∅ = θ×π180  radians

Q: Evaluate the given integrals. 1. cos 2x dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0

A:

Q: 14. Re-write the equation f (x) = x² – 10x + 16 in vertex form. Note: the author of your textbook…

A: Given:      fx=x2-10x+16   Set the polynomial equal to y to find the properties of parabola.…

Q: B. Determine dy/dx for the tollowing a. x + y2 =9 b. y-y+1 = x + 2 C. X³ - 8y³ =Y I.

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: 8) Find the slope of the curve y = Sin³0 and x = Cos³0 _when 0 =

A: Given y=sin^2(theta), x=cos^3(theta)

Q: 5. A small metal bar, whose initial temperature is 20°C, is dropped into a container of boiling…

A: According to newton law of cooling: dTdt=-k(T−Ta​)  Where T is the Temperature of the body and Ta is…

Q: ... Supply the missing integrand and the limits of integration (Ух ӑx dy dy (4+y²) 3/²dy | V4+y?dy

A:

Q: 3. General solution of x dy = (2xe* – y + 6x²) dx

A: The given differential equation,     x dy=2xex-y+6x2dx

Q: Change the following polar equation to rectangular form. Show work. 14. r = 3+sine

A: Explained below

Q: 2. By integration, show that the area of a circle of radius r is A = rr?

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

A: Here, the velocity of the function is given as: v(t)=t2-t-182; 1≤t≤15

Q: What is the exact value of sin4)-sec(-) -4+/2 A 2 4-/7 B -4-/7 2 4+/7 2

A: