The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208eº did/will the exports reach $9.9 billion? 0.3387#, where x = 0 corresponds to 1998. In what year Give your answer as the year, with at least one decimal place

Q: In the vector space of functions f: R → R, find a basis for the subspace spanned by {sin t , sin 2t,...

A: Let  the subspace spanned by the set 'S' ,  S = { sin t , sin 2t , sin t cos t }  Then basis of subs...

Q: 12) Consider he algebraic extension E = bQ CVE, B, VF) of The field Q of rahionat numbers. Then (E :...

A:

Q: a) Use the bisector method to guarantee a solution for the equation 8x³ -16x = -7 in the interval [0...

A:

Q: • Use sequential continuity to show that any polynomial P(x) = x" +an-1x"-+...+ ao is continuous fro...

A:

Q: The augmented matrix is given for a system of equations. If the system is consistent, find the gener...

A:

Q: as a ro ewton- ue of ya

A:

Q: In this exercise, we suggest the use of technology. Round all answers to two decimal places. Maximiz...

A:

Q: 1. (a) Plot the first four terms of the sequence ( 3n² – 3n +2 ] 2 (b) (i) Write in bracket notation...

A:  A sequence is an enumerated collection of objects in which repetitions are allowed and order matter...

Q: (1) For every ring R and R-module M below, determine whether M 0 and prove your answer. (a) R= Z, M ...

A: We evaluate elementary tensors and prove that they are 0. 

Q: 3) The degneue of Thie Pastension Be (VZ +3/3) over The field &(VE) is (a) I (b) 13 PJs (d) 6

A:

Q: Write the Sinusoidal equation. Show as much details as necessary regarding the amplitude, period, do...

A:

Q: ve an example of a function f where it does not have a global maximum on a closed interval [a, b]. (...

A: Global maxima of the function

Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. 1 4 5 -7* 5 1 -4 ...

A: To determine whether the given matrix is in row echelon form , reduced echelon form or neither we fi...

Q: What is the quotient when (2x^4 + 4x^3 – 5x^2 + 2x – 3) is divided by (2x^2 + 1) using long division...

A:

Q: One of the roots of the polynomial equation 2x^3 + 9x^2 - 33x + 14 = 0 is 2. Find the other roots. *...

A:

Q: Let F : R" → R™ and g : R" → R. Prove that d(gF)[a; h] = g(a)dF[a; h] + F(a)dg[a; h].

A: let the functions be  F:ℝn→ℝm , g:ℝn→ℝ prove that  dgFa;h=gadF[a;h]+F(a)dg[a;h]

Q: HRP FRP 1cm I A- B Area (in units?) of one of the inclined planes:

A: Here given as 

Q: em belov off to 3

A:

Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

A:

Q: Consider the following LU decomposition of the given matrix: 1 -1 4 5 -3 6 0 0 oT2 1 -1 2 0 a22 U23 ...

A:

Q: 2" Let an = 100+ and bn 1 for n >1. (n +3)! en en+1 (a) Show that {am} is monotone and bounded below...

A: The main objective is to check the convergence of the sequence and series.   As per our guidelines I...

Q: Find the equation of the surface of revolution generated by rotating the hyperbola x^2 - y ^2=1 , ar...

A: Equation of the surface of revolution of a curve x=f(y), about y axis is given by x2+z2=fy2Here fy i...

Q: cosQ -sinQ Rotation matrix on the plane (2n - 2). R = sinQ cosQ :: -W A _I Rw R = w W = show me that...

A:

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x? = 8y, th...

A:

Q: Find the resultant force of two vectors F = 5î + 2j and F = -2î - 8j. Graph the two vectors as well ...

A:

Q: Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as...

A:

Q: a. Consider the system of differential equations given by: -3 34 y, Y1(0) y = -1 where some initial ...

A:

Q: M K.C.aw Мо (1 - К.аш) - (1 — К -а + С. К.аш)

A: Given MM0=K·C·aw1-K·aw·1-K·aw+C·aw By cross multiplication, we can write M·1-K·aw·1-K·aw+C·aw=M0·K·C...

Q: Q.2 Evaluate t*e2t

A:

Q: Find the length of the curve given in polar form as r= e,- <o<a a)2/2 sinh(7) b)sinh(") c)2 sinh(7) ...

A:

Q: What is the quotient when x^2 - 25 is divided by x – 5? * Ох-5 Ох-25 O x + 5 O x + 25

A:

Q: Which polynomial gives a quotient of (3x^2 + 2x + 4) and a remainder of 19 when divided by (2x – 3)?...

A: We have to find polynomial on the basis of given information.

Q: For any subset A of R, define the function XA : R →R by if x E A 1, XA(") = 0, if x ¢ A. Let A and B...

A:

Q: A certain radioactive substance decays by 2.2% each year. Find the half-life of the substance, to 2 ...

A: Given: Decay rate of a substance is 2.2% per year. To find: Half-life period of radioactive substanc...

Q: dr =-4rt; when t = 0, r = r, dt i. ii. xyy' =1+ y; when x = 2, y = 3 iii. y'=xexp(y-x ); when x= 0, ...

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for...

Q: U = 4u,, 0 0, u(0, t) = 1, u(T.t) = 1. t > 0, u(z,0) = 0, 0<r<7.

A:

Q: Show that -p → (q → r) and q → (p V r) are logically equivalent

A: We have to show that ¬p→(q→r) and q→(p∨r) are logically equivalent. To show logically equivalent let...

Q: 2022" + n2022 lim sin n00 2022! + n!

A: Sin(x) is a periodic function whose values oscillates between -1 to 1 as n-&gt;∞ the given sine func...

Q: Flx)=14x=2x - 2x find obliq-es asympto tes use the long Formula

A:

Q: hether the following proposition is a tautology, contradiction, or cont

A: Make the truth table as follows p q r p∨q p→r q→r p∨q∧p→r p∨q∧p→r∧q→r p∨q∧p→r∧q→r→r T T T T T T...

Q: 5 Let L = and U = Let Aj = -3 A2 = A3 = 2 8 A4 = -2 -2 Which one of the following statements is corr...

A:

Q: 4.-If 8 -1 b = 1 3 Solve the system of linear equations Ax = b, where A is the matrix in Problem 3. ...

A:

Q: H.W: Given the following matrices, please solve the questions below and if you can't solve the probl...

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts...

Q: Suppose x satisfies the three simultaneous congruences X = 4 (mod 5) x = 7 (mod 8) X 10 (mod 11) Sin...

A:

Q: Question 3. Use the method of finite-differences to find a closed-form expression for the sequence 0...

A:

Q: Let f be a function defined by f(x) = ln(3 − 2x). What is the maclaurin function expression of the f...

A:

Q: Find linearization L(x) of f (x) = Vx at a =4 and use to approximate 7.8.

A:

Q: identify the conic with the given equation and give its equation in standard form.     6x^2 − 4xy ...

A: The general form of a second-order quadratic function is given by ax2+2hxy+by2+2gx+2fy+c=0, where a,...

Q: 2 C, e kt Show that the equation dy 2. + 2k possesses solutions of the form 00 E c, e " cos (a, x+ &...

A:

Q: 5s2-4s-7 7. (s-3)(s²+4)

A: