19. Rennie is trying to determine the value of the 5th term in the 15th row of Pascal's Triangle. Which of the following could be the binomial that Rennie is trying to expand? O (5z + 15)5-5 15+5 O (z+8)5 O (z+b)

Q: Consider the system of linear equations :) -- ( ;) 3 1 8 5 In the following, let A denote the coeffi...

A: The explanation is as attached:

Q: An open rectangular tank of length 3x meters, width 2x meters and height h meters is to be construct...

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: We will use Cylindrical / shell method to find volume of the solid generated   

Q: Show that x sin wx -dx x2 + 6x + 10 (3 sin 3w + cos 3w) w> 0

A:

Q: Let f(x, y, z) = In (x² + y + z?). The level surface f (x, y, z) = In 4 is a: Elliptical cone around...

A: Given  f (x,y,z) = ln( x2+ y+z2),To find : level surface f= ln4

Q: plz solve it within 30-40 mins I'll give you multiple upvote

A:

Q: Part A: Find the difference between the cost of a two-line ad and the cost of a three-line ad. Diffe...

A: This is a problem of counting.

Q: Solve simultaneously y (t) = 1 – a"(t) z' (t) = 2y (t) x(t) = -yr(t) where x (0) = 2, x' (0) = –1, y...

A:

Q: Which of the following shows finding the area of an area outside the curve Y- 36 sin (20) and within...

A: Please see the attachment

Q: converges

A: It is a positive term series 

Q: Solve the absolute value equation. |7k + 2| + 9 = 12 %3D

A: Absolute value: Definition:  The absolute value of a real number x, denoted and defined by x=x,x≥0-x...

Q: Jerry will make deposit of 450 at the end of each quarter for 10 years. At the end of 15 years, Jerr...

A:

Q: Use spherical coordinates to evaluate the integral: 9-z²-y? 9–z²-y² 9-y² x² + y² + z² dz dx dy. /9-y...

A: Since you have asked multiple questions, we will solve the second question for you, please repost th...

Q: find the approyimate Value of 3/2 10/2 2- (3

A: For a function  f(x, y, z) whose partial  derivatives exists, the total differential of f is given b...

Q: what is the middle term of the expansion (x^2 - 4)^8 a.17920x^8 b.43750x^8 c.43500x^8 d.59070x^8 ...

A:

Q: 9. S(9 + 8y – y²)? dy 10. S (e*–2)² dx e 2x + 4

A:

Q: 9. Show that the matrix 0 0 -1 0 0 1 -1 C2 = x, x- will transform the vector y into -y

A: We have to show that the matrix C2 will transform the vector in ℝ3 into the vector -x-yz. First we w...

Q: Determine whether the following series converges or diverges. In the case of convergence, state whet...

A:

Q: Tank A contains 274 litres of brine holding 123 N of dissolved salt, and tank B contains 274 litres ...

A:

Q: Consider the homogeneous ordinary differential dy dy equation x2 dx? 3x dx + 3у — 0, х> 0 - with y(x...

A:

Q: 4. (2 v2 + i)- i (1 +v 2 i) 5. (1 - i)

A:

Q: 2x 4x + 8 Given f(x) 2 f" (x) = %3D %3D (x – 1)2 (x – 1)2 ' f"(x) (x – 1)3 (x – 1)4 d. Construct the...

A: Since there are multiple subparts, we will solve the first three. Post the question again and mentio...

Q: Consider SiR" こ @ show using set, that s is linear transternation 2Delermine mairiv [S],

A: It is given that,                   S : R2 →R4  defined by              Sa , b = a , a , b-a , 0 (1)...

Q: Find the value of a. -3t L = a VE Vs +3

A:

Q: Find the ExPa enien in Po wers ofx of Sinhx Vx each the -1KX<I Ənd find the Valee of

A:

Q: 26. Write the equation of the line passing through (2, - 4) and parallel to the line y - 3x -2.

A:

Q: 4 +V5 B X- (4 + V5)cm. AX is The diagram shows a trapezium ABCD in which AD = 7 cm and AB = perpendi...

A: In trapezium ABCD, AD=7cmAB=4+5cmAX⊥DCDX=2cmXC=xcm Area of trapezium ABCD=155+2cm2 We will find an e...

Q: 3) A cylindrical fish tank is 8 meters deep and has a radius of 3 meters. The depth of water in the ...

A:

Q: W; by using Adams-Bashforth method to the following initial-value problem; y' =1+2. 1s1s2, y() = 2, ...

A:

Q: J and g. Be sure to put a scale on your graphs. 1) f(e) = -2". g(x) = 5 - 2* !3D 2) f(x) = 3", g(x) ...

A: We have to describe the transformation and sketch both f(x) and g(x).

Q: Prove the following theorem directly. 'Let B, E,W be sets. If B Ɔ W, then BU E WUE"

A: Given B, E and W are three sets .

Q: X1 + x2 – 3x3 +4x4 = 0 X1 + x2 – 4x3 +5x4 +2 2x1 + 5x2 – 11x3 + 9x4 – 5 = 0 = 0 -x1 – 4x2 + 10x3 – 5...

A: As per Bartleby guidelines we're supported to answer only first question when two or more different ...

Q: Determine whether each integral is convergent or divergent. too 4 dr (1i) d.x VI (9+ x)

A:

Q: Q5. Find the Laplace Transform of the functions x(t) and yıt), which satisfy the coupledd first diff...

A:

Q: Prove that if A and B are ideals such that A|B and B|A, then A = B.

A: Let us solve the problem based on classical algebra in the next step.

Q: (d) Prove that f is integrable on [a, b] if and only if its "positive part" max(f, 0) and its “negat...

A: To prove :  f is integrable on [a,b] if and only if its "positive part" max(f,0) and its negative pa...

Q: 4. Divide. y² + 10y +21 y +7

A:

Q: Define the line Lo to be a = xo + at, y = yo + bt, z = z0 + ct. If Lo passes through the origin, the...

A:

Q: e) What do the valuės from x +3 and g(x) x +1 3. Consider the following functions. f(x) = x +4 x – 2...

A:

Q: Question: Chapter 6 Show That A Topology T On X Is Finite If And Only If T Has A Finite Base.

A:

Q: Skill-Building Activity Use power series to solve the differential equation. 2. y' = x?y

A:

Q: aibic, and m are integers such that IF 9,b,c, and m m70, dc, d|m, and ac = bc (mod m), then a =b (mo...

A:

Q: 4. In the figure, if AB = AC and BO = OC. Prove that ZB = C .C B

A: a). Given: AB=AC and BO=OC Prove: ∠B=∠C

Q: 2. Let X1 and X2 be sets. Define functions T1 : X1 × X2 → X1, T2 : X1 × X2 → X2 by T| (X1, X2) = x1,...

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

A:

Q: (D5+3D + 4D³ + 32 cos (2a) + 3e 12D²) y = 16 sin (2x)

A: The given differential equation is                                                           D5+3D4+...

Q: Solve simultaneously y(t) = 1 – al(t) 2 (t) = 2y (t) æ(t) = -yr(t) where x (0) = 2, a' (0) = -1, y (...

A: Given that yt=1-x''tz't=2ytxt=-y't We have to find only yt

Q: Show wheatear the statements are True or False (provide explanation/justification). a. Q' = R b. If ...

A: We have to check whether given statement is true or false.

Q: Question 6 Find the indicated limit or state that it does not exist. lim 3 sin x (x y)-(0, 1) 01 O N...

A:

Q: Q5. Find the Laplace Transform of the functions x(t) and yıt), which satisfy the coupledd first diff...

A: