Give the first four nonzero terms of the series about x = 625 representing the function f(x) = v

Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 8j + k v = 8i - 9j (a) radi...

A:

Q: 8) f(x)= T+x²

A:

Q: . Homogeneous Equations: Solve the differential equation: x²+y? y' xy O y? = x² In cx² O x?y² = In c...

A: To solve given homogeneous equation.

Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of V orth...

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A:

Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

Q: The region bounded by the curve ×=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A: We have to find volume. 

Q: x(x² +y* )° (ydx – xdy)+ y dy = 0 Ans. (x +y)' = 6y° In

A: Put x/y=p and solve it. 

Q: 13. DETAILS LARAPCALC10 3.2.006. Find all relative extrema of the function. (If an answer does not e...

A:

Q: ind a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3, 1).

A: Given problem:- Find a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3,...

Q: If f'(x) and g'(x) exist and f'(æ) > g'(x) for all real æ, then the graph of y = f(x) and the graph ...

A: f'(x) and g'(x) show the slope of function  so here given that slope  f(x) > g(x) so they do not ...

Q: The number of users on a website is 3200 and is growing exponentially at a rate of 70% per year. Wri...

A: This is a problem related to exponential function. Based on the general formula we will answer the q...

Q: 4) fG) = (2x+ 1)9 %3D

A:

Q: - partial fraction 1 -dx x(x² +1}

A:

Q: Find the indefinite integral. (Remember the constant of integration.) (0.9t2 + 0.08t + 9) dt

A:

Q: Let X be a random variable with p.d.f f(x) = 2x,0 < x < 1. Find E(Vx). 2/3 5/4 3/2 4/5

A: Given

Q: Consider the following planes. 5x + 2y - z = 22 x - 4y + 2z = 0 (a) Find the angle between the two p...

A:

Q: 13.Exact equations: Solve: (2r3 + 3y) dx + (3x + y – 1) dy = 0 O x* + 6xy + y² – 2y = c O r?y² + y* ...

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A:

Q: Determine whether each point lies on the line. x = -1 + t, y = 2t, z = 3 + t (a) (0, 2, 4) O Yes O N...

A:

Q: Linear coefficients in 2 variables: Solve the equation: (x-y+1)dx-(x+4y+1)dy

A:

Q: P that is orthogonal to the vector AB. . B e distance from the point P(-3,1,9) В(-2,3, —4).

A:

Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

A:

Q: Consider 12 – 2x +1 if r 1. Determine if the following functions are continuous on the interval I. ...

A:

Q: 2x2; yい= - | %3D

A:

Q: find A-1 using Gaussian elimination and check the result [2 3 2 -31 2) A = |1 -2 -1 Ans: A-1 = -1 -2...

A: We can find Inverse of the matrix by using Gaussian elimination method and also apply Row operation ...

Q: cos x dx Sx x sinx cosx dx 4. 3.

A:

Q: acrsin x:! csc-1 x: arccos x: sec-1 arctan x: cot-lx: : [0, T] :: [0, 플] : (- 1 : (0, 27] :: [-플, 이 ...

A:

Q: 3. Check if the following is a separable equation. dy dx O variable separable not variable separable

A: dydx=-xyRearrange the equation;y dy=- x dxf(y) dy = f(x) dxYes,the given equation is variable separa...

Q: A particle is moving with the given data. Find the position of the particle, s(t). v(t) = t? - 3Vt, ...

A: We have to find S(t). 

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A:

Q: 8. DETAILS LARAPCALC10 3.3.062.EP. Consider the following function, where R is the revenue (in thous...

A: Use diminishing concept

Q: し y(x) ¥(0)%=3

A:

Q: 4 -5-4 -3 -2 -3 2.

A: From graph  as x approaches to - 2 from the left side f(x) approaches to +∞

Q: dx x2 +4x +5

A: Use inverse trigonometry function formula.

Q: 2. Find the general solution of the differential equation: dy ip 5 + 6y = e ,3x - dx? d.x

A:

Q: Determine whether the seovence converges er diverges.Rconverges, nd the me the sequence diverges, en...

A:

Q: Obtain the general solution of the following differential equations.

A:

Q: (b) Find the value of ? in factored form: 4. [3/ (x - 4)] = [((3x + 36) / ?] 5. [4/ (2x + 5)] = [? /...

A:

Q: The Furmetion fla)=t kininen as Taylor series abaut x =0 4s derwamine ite series elow end nerite our...

A: a) fx=8e2xb) gx=9x5e-1 x

Q: 2. Consider the power series p(x) = E *+3)" n=0 (n+1)3n+1* 2.1. What is the center? 2.2. What is p(-...

A:

Q: 4 %3D ») f(E) =

A:

Q: graph f(x)= x4ex Indicate the important points (local max, local min, inflection, intercepts etc)

A:

Q: 3. S cos ædæ from a = 0 to b = 5

A:

Q: Separation of Variables: Solve for xy dx + (y + 1) e*dy = 0 O xe – e - y - 2y² = c O xe - e -- = C 2...

A: The given DE is: xy3dx+(y+1)e-xdy=0...(1)

Q: Find the indefinite integral. (Remember the constant of integration.) (0.9t2 + 0.08t + 9) dt

A:

Q: ©if g(x, v) = In(),the )If g(x, y) = Int then xgx - vgw in simplified form is [c].

A: We can find the answer as below in the following steps

Q: А(-1, 0, -2), в(-1, 5, 2), C(-3, -1, 1) |AB| = JAC| = |BC| = O right triangle O isosceles triangle O...

A:

Q: 3. A jar sauce. How many cups of spaghetti sauce do 4 jars contain?

A: