REVIEW: DIFFENENTIATE THE FOLLOWING किमोि 2 2. y = メ+5 WE TAE APPNO PRLATE ト mlA

Q: 7.2. +4 7.2. 1- 'y'+ 16

A: Using integration formula,

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: This is a problem of derivative and expansion of the series. Based on the formula of taylor series e...

Q: Find the derivative of y = tan 1 1-x -1 + sec Va +1

A:

Q: Determine the solution of the initial value problem 1. 5y" +y' = -6x, y(0) = 0, y'(0) = -10

A:

Q: Examine the punction por vela tive extrema f6.y)= x-xy -y? -3x -y and so dde points %3D

A: Relative extrema and saddle point

Q: The radioactive isotope lead has a half-life of 3.3 hours and decays at a rate proportionate to the ...

A: This is a problem of differential equation and integration. Based on the given scenario first of all...

Q: The Value of the Variablex that ful fills the la Fo llowing eauation %3D

A:

Q: Given the the parametric curve Sx(t) = ¿e" – 12e* + 32t %3D 1 y(t) t5 – 6t + 10 dy (a) Find an expre...

A: We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: xt=12e2t-12et+32tyt=1t...

Q: Given Cost and Revenue functions C(q) = q° - 10q +53q + 5000 and R(q) = - 3q + 2500q, what quantity ...

A:

Q: (3 + xy³)dx + (5y² – xy + y³ sin y) dy = 0 %3D Let M = y² + xy' and N = 5y² – xy + y³ sin y 13. The ...

A:

Q: The cost of a can of Coca-Cola in 1960 was $0.10. The function that models the cost of a Coca-Cola b...

A: The cost function is given by: C(t)=0.10e0.0576t Where, t represents the number of years since 1960.

Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x =2y...

Q: 1. Determine the order and degree of the differential equation d'y' 2 -222 dr4 + 4.r dr? 1 = 0. (a) ...

A: Given:-  

Q: Find each limit O li sinh() -x ×ミ li ex -

A:

Q: For the function g whose graph is given below 구 2- 10 -9 -8 -7 -6 -5 -3-2 Determine the the limit of...

A: find the limit of function at given points.

Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

A:

Q: Given cost and price (demand) functions C(q) = 120q + 42,000 and p(q) = - 1.9q + 870, what is the ma...

A: Given query is to find the maximum profit possible.

Q: Read the following definition and example carefully, and then answer the question below. We say (for...

A: The grumpy matrix is a matrix with non-zero and negative eigen values.    The eigen values are the f...

Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Vx² + y...

A: A differential equation of the formdydx=f(x, y)ϕ(x, y) is called a homogeneous equation if each term...

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. S4) = 3x+6...

A: We have to use th remainder theorem to determine if the given number c is a zero of the polynomial  ...

Q: I. Solve the inequalities and write the solution in interval notation: 1. 2x +3<7x- 23 2. -8< 2x - 5...

A:

Q: 3. Expand the binomial; (x – 1)5

A:

Q: 1. DETAILS LARCALC11M 9.4.030. Test for convergence or divergence, using one of the tests listed bel...

A:

Q: Question: Find the derivative. y = 2/T sin /T Select one: sin /I y' = cos /T + cos/r y' = sin /I + y...

A: Topic:- derivatives

Q: Let M = y? + xy³ and N = 5y² – ry+ y³ sin y ƏM =? 9. dy (a) 2y+3ry? (b) 2у — Згу? (c) y²x+y³ (d) y²r...

A: Given:   To determine:

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

A:

Q: 24. Use Newton forward-difference formula and construct appropriate interpolating polynomial and app...

A:

Q: the time for the water temperature to reach 70° C E

A: Follow the procedure given below.

Q: EXERCISE 4 Find Vƒ(P) and Djf(P). (a) f(1,y, 2) = y7 + 2² – 4rz; Ū = } i - { j+ } k; P(-2,1,3)

A: Given function f(x,y,z)=y2+z2-4xzPoint p=(-2,1,3)and vector U→=27,-67,37  

Q: Which of the following is not true? Select one: d [uv] = uu' + vd dx O d [uv] = u · + v • u' dx v - ...

A: topic - derivative rules

Q: « (x - })" 2. Calculate the fourth term of

A:

Q: Determine whether the alternating series converges. k + 1 >(- 1)k+1 6k + 1 k=1 O The series diverges...

A:

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

A:

Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of integra...

A:

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Plot the first N terms of the sequence. a1 = 2, a2 = 3, and for n ≥ 2, an =  1 2(an − 1 + an − 2); N...

A: This is a problem related to sequence of the given first 2 terms. Based on the available concept we ...

Q: 8. A race involves 10 participants. In how many ways can 14, 2nd, 3rd and 4th place occur? In how ma...

A:

Q: A company produces a special new type of TV. The company has fixed costs of $481,000, and it costs $...

A: Let's find. 

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) t° Vt9 - 23 dt

A:

Q: The average value of a function f(x, y) over a region R is the value 1 AV (f, R) //. f(x, y) dA. Are...

A:

Q: Given cost and price (demand) functions C(q) = 100q + 43,500 and p(q) = - 2q + 860, what is the marg...

A:

Q: 21. The complementary solution, y., of the equation y" + 2y" + y = 10 is %3D (a) y. = Ce- + cze- + C...

A:

Q: t0x² -4x²+8d 4 2- 多 et dx

A: 2. ∫10x4-9x2+8x2dx3. ∫ex2+xxdx4. ∫dxx

Q: d. On what interval(s) of x is ƒ(x) decreasing? Preview e. On what interval(s) of x is f concave up?...

A: solution:-(d) f(x) is decreasing in the interval x∈-0.5, ∞(e)f(x) is concave up in the interval =DNE

Q: 6. * S sin*x cos3 x dr sin x sin'x + C 7. C sin x sin'x 7. B sin5x cos'x + C sin x cos'x + C 7. O A ...

A:

Q: State where the power series is centered. (-1)"(9n – 1) 9 n! n= 1

A:

Q: 2. A chemical reaction proceeds in such a way that after the first second, the amount of a certain c...

A:

Q: Use sigma notation to write the Taylor series about r = xo for the function. In x; xo = 1 %3D Σ k =

A:

Q: 3 3 (x+ Ax)° – x° lim x→0 Ax

A: Limits