9. y = Ce5x C1, C2, C3 and C4 are arbitrary constants + C2xe5x + e3*(C3cos 10x + C4sin 10x);

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: 4) y-4y 2x -4x

A:

Q: Hiw.S Let Asitij-zk, B=-i-kandc=zituj-zk finds A-(2B-c) 4-2AX3B saCAXB).c 6- Ax(Bxc)

A: Given that: A=i+j-2kB=-i-kC=2i+4j-2k NOTE: As per our answering guidelines, we can only answer 1…

Q: Vhạt is the end behavior of each of the followin 1) y = :-4x + 2x? + 7 2. y = 2x - 3x + 4 3. y = -x3…

A: As per guideline we have to solve only 3 subparts

Q: How long will it take to drive 700 km at 100 km per hour, if you take a 1-hour break after every 5…

A: We have to find time taken to drive 700km using given data. We will use formulaes,…

Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

A:

Q: Calculate B(5,2) if B (a,r) = 2ar+r^3

A: I have to calculate B(5,2) It is given that B(a,r) = 2ar+r3

Q: x² +25 D)+ Xx Evaluate the following integral f (6) A) 4 Inx-21-In/x+31+ C C) 4 Inx-31-In/x+21+ C…

A: We use partial fractions to solve the given integral.

Q: ifferentiate. 12) y = (x2 - 2x + 8) ex A) (x² + 4x + 6) ex C) (x²+6) ex 1 [ 2 ² + x + 1] x B) ex 3…

A: Given query is to find the derivative.

Q: S(3x + 5)e3*+5 dx D 1 e3x+5 3 (3x +4) + C 3x+5(3x + 6) + C B)e C) e3*-5 (3x + 6) + C D) e3*+5(3x –…

A: Using substitution method of integration & By parts rule

Q: By-4.2x3y4)-3

A: 5. (2x4y2)/(2x-3y-4 . 2x3y4)-3 = (2x4y2)/(4x-3+3y-4+4)-3 = (2x4y2)/(4x0y0)-3 = (2x4y2)/(4)-3 = 43 .…

Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: 9) 5x+iy=9 10x-7y=-18

A: We have to solve the problem

Q: 15) 2x2- 7x +5

A: See the attachment

Q: 11) 2x+5=5-x

A:

Q: 9. dr (2-r)Vr2-4x +3

A: ∫6(2-x)(x2-4x+3)dxApply linearity=-6∫1(x-2)(x2-4x+3)dxSubstitute…

Q: YA 5) y = - 3x - 3 y = 4x + 4 2 4 $X -4

A: Given: y= -3x-3 y= 4x+4

Q: Is (2,1)=(1,2)?

A: The objective is to determine whether 2,1=1,2.

Q: f|A| = 9 and |B| = 3, what is |AU B| + |An B|?

A: Given: A=9 and B=3. To find: A∪B+A∩B Formula Used: The relationship between the union and…

Q: 26 34-5y0-3

A:

Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

A:

Q: 2) 3x+ 2y -8 x-y -1

A:

Q: fox) = 2メ+1

A: Find the attachment

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: verify that (AB)T = BTAT

A: Given matrices: Now,

Q: 16) 2x2+ 3x- 14

A:

Q: /- dr r(r + 10r + 25)

A:

Q: Evaluate / Vx2x/x +1 dx: /2x/x + I dx: 3 (2x + 1) + C 중 금(2xi + 1)' + C + 1) + C 5 (2x3 + 1) +C

A:

Q: folynomial PC-2) Sx-2x+6

A:

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

A:

Q: 8. (3x² 9xy + y) + (-5x² + 2xy)

A:

Q: メ+5x+6 x-4x-21 X-1 x-1

A: The solution is given by long division of polynomial as follows :

Q: 6a - 4b when a = 5 and b

A:

Q: 3y² + 5y - 8

A: The given quadratic equation is:  3y2+5y-8

Q: 3x+4x+4 x(x?+1)

A:

Q: 9) x2 - 5x + 3 = 0

A:

Q: 3x+5 dx = S(3x + 5)e3x+5 dx A) -е3x+5 (3x + 4) +с Зх + 4 e 1 -e3x+5 3x+5(3х + 6) + С 1 с) - езх-5…

A: We need to evaluated the following integral ∫3x+5e3x+5dx