47. H(x) = (2x + 3)4 48. H(x) = (1 + x²) * 3 50. 1 (х) — Vi- 52. H(x) = |2r + 3| 49. Н(х) — V#+1 51. H(x) = |2x + 1|

Q: (4x -1-7) dr– (5x - 21-8) di = 0, when 1 = 1, x = -2 D (x-1-1)' = 8 (2r-t-3) O (5x - 21 - 8) = 3 (2x…

A: (4x-t-7)dx-(5x-2t-8)dt=0 when t=1, x=-2

Q: y = Vs2 - {-8<r<8} y = V² -x? {0.509 <y <7} y = V 62 - x? {1.046 <y< 6} V5 -x² {1.638 <y<5} -10 10…

A: Note: As per Bartleby's guidelines, for more than four questions asked in the subparts, only three…

Q: 9. Integral (2x-5) ai x² = 5x + 3 -

A:

Q: 2(5x – 1) + 2 = 2x – 4(x – 1) - -

A: Use BODMAS rule, BODMAS rule says that first solve Brackets then solve Order (powers) then calculate…

Q: General Solution of xdy-ydx=x2exdx is

A: We know that for the differential equation of the form  dydx + P(x) y = Q(x) the integrating factor…

Q: (X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 –…

A:

Q: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent

A: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent  We use Cramer's…

Q: Max z = 5x, + 6x2 x1 + x2 S 5 ( Machine A) 4X1 +7X2 S 28 (Machine B) s. to X4,X2 INTEGER

A: Consider the given system of equations.

Q: 2 x-29x+5 S- (x-4)°(x²+3) 2 (x-4)´(x

A: To Solve

Q: What is the smallest positive integer value of x where the exponential fuction defined by the table…

A: Consider the table  X -3 -2 -1 Y 181 127 19 Let the general exponential function  y=abx We…

Q: 11. In the function y = 3x2 - 3, y is replaced by y and then y is replaced with y +2 ; the new…

A: Given:     Function y=3x2-3   Here y is replaced by 12y       substitute y=12y      12y=3x2-3…

Q: . General Solution of x4y' = -x3y-csc(xy) is

A:

Q: Q1. Find the general solution for the non-homogen 1st OLDE using undetermined coefficient method.…

A: Given Y'=-3-456Y+5-6ex

Q: 2 If f(x) = x+ 8x + 12 and g(x) = x + 6x + 8 then (2) (Make sure your answer is fully simplified %3D…

A:

Q: How can I calculate using Excel?   Suppose X~N(193,7), and Z~N(0,1). Then x = 204, is equivalent…

A:

Q: A business determines P(40) = 3000, %3D P'(x)0 where P(x) is the profit in thousands of dollars at a…

A:

Q: 82z 8. If z = x + y lnxy, show that x- 82z + ミy2 82z 8y2 8x2 δχδν

A:

Q: ++4 if X < 3 f(x) = { x2 + 1 if -3 sx<5 %3D x-7 if X25

A:

Q: if x 0 -

A:

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: Differentiate. K«) = (3x*+ 1]x^- x) -sx]+ (3x*+ 1) B 12-L“- sx]+ (3x++ 1]6x*-s) © 12-lo…

A:

Q: 1. Differentiate: y = 3(x²-1) A. (In 3) 3(x²-1) B. (2x) 3(x²-1) C. 2x (In 3) (3**-1) D. x²(In…

A:

Q: 6(-ズ) -2Xg +zy= @ y'= -2xy 6ずー+メ =o S(+2x)ず+3x+}=0 3-を

A: Given The given differential equations are (A) (1) 1-x2y"-2xy'+2y=0 (2) y'=-2xy (5) y'-y=0

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7 + 5( 2X -1- 1n 7)

A:

Q: 1. For h() = - 6t + 7, determine „-4) . [ 5 KUJ 2. For g(x) = 4 – 9x , determine gª(-3). [ 5 KU]

A: x in place of t

Q: 44) (2x2) . 3x' = 8x 3 K 24h 46) (2p¬)" . 3p²) -K\GRX 230 28 46x 248 48) (2n1 n²)-1

A: We have given some expressions and we have to simplify these expressions…

Q: 2-If x(z) = 2z + 5z¬1 + 6z-3 – z* find x(n). %3D

A: Consider the given equation:   xz=2z+5z-1+6z-3-z4

Q: Solve for x:  x + 5 = 9 8 +x = 1 7 + x = 16 x + 3 = 8 x - 3 = 4 5x = 20 7a = 42 3x = 12 16 - 3x = 4

A:

Q: F(s) = 5s+3 6s 8 9- - (5s2 +4s+1) s2+7 9

A:

Q: 1. Find XY when X(-7, 10) and Y(3, 4).

A: GivenX≡-7, 10Y≡3, 4To find XY

Q: Differentiate : a. y= In(2x^2 +4) b. y= In(ax^2)

A: Differentiate (a) y=ln2x2+4 (b) y=lnax2

Q: 16. Study the stability of the trivial solution of x" + 5x" + 9x' + 5x = 0.

A:

Q: 37) Find YX 38) Find mX 22x+ 68x-I 23x-1 21x+1 39) Find mzF 40) Find mzD D. D 23x 1 20x-5 18x +7…

A: Since you have posted multiple questions we will solve the first question for you. To get the other…

Q: But brother 2n (22) (x*r3) %3D 2. - 2. 27-1 -2조 (2)(a3) (2n--) (x?+3) (x) (2자4) (3) 2. 2. t 2n 2.…

A: i have provided this answer in step-2.

Q: x2 + (3y ÷ 6) − z  when  x\ =\ 9x = 9, y\ =\ 8y = 8 and  z\ =\ 11z = 11

A: x2+(3y÷6)-zx=9 , y=8 , z=11

Q: 9. For Ax) = -4x+2, find (x) when x==1. %3D а. С. 2 b. -2 d. 6

A:

Q: トン メ+??-9 zy +3=8 4X -3y =-2 Ans / X=1 ウ-2?こ4

A:

Q: Solve for x 4x^(2/3) +5x^(1/3) -6=0

A:

Q: Consider the following LP Min z = 3x, + 2.x, + 7x, s.t =10 r+ 'r - -2x, + x, – x, <-10 %3D In…

A: Max Z =   3 x1 + 2 x2 + 7 x3 subject to -   x1 +   x2       = 10 - 2 x1 +   x2 -   x3…

Q: et xー4x-i7x +12 . Find xS. y'= 3x=-8K-17 y"- 6K -マ y"! =6' i2 y= x- =人 - 6x2 + 3x-2,what is 12

A:

Q: Eliminate the arbitrary constants of: x^2=Axy+By

A:

Q: 12. X and Y are two faucets which can fill a tank individually in 10 minutes and 20 minutes,…

A:

Q: In x +1 If y = then will be 2x³ – 3x' (2x³ – 3x) G+1) – (In x + 1)(6x² – 3) (2x — 3х)? А. (2x3 — 3х)…

A: SOLUTION-

Q: (4x'-7x* +2)-(-5x² +6x-7) 35. (-5x - 3x +9)+(5x' +4x-6) Sor 36. (38 (5x' -8x' +2)-(x' -x² +1)+(-4x°…

A:

Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

A:

Q: ) ŷ+ 2ỳ – 3y = 3e¬* X- -

A: Here is a step by step solution of the given differential equation.

Q: 7. x + 3y + 522 = 173.61, x - 27y + 2z = 71.31, 41x - 2y + 3z = 65.46. Start with x = 1, y = - 1, z…

A:

Q: If h(x) = 2x and k(x) = 2x – 4, what is h(k(10))?

A:

Q: - 7x+ 3y+4z = -6 -23x+23y+kz =-31 -4x+ 5y+7z= -6 we must have, k +

A: We have to find the conditional value of k such that the following system is consistent.…

Q: 5. ) If 3x + 4yi = Z2, what is x + y equal to?

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.