sheck 41. (a) f(3) (8) S (4)

Q: 7. (D5 – 5D³)y = 24

A: Given problem Given that 7)

Q: [38] Evaluate ff, 40yds where S is the portion of y=3x2+3z2 that lies behind y=6.

A: we know that for 3d representation,  S=∫∫√((∂y/∂x)²+(∂y/∂z)²+(∂z/∂z)²)dA from this we will solve the…

Q: L(2 – 3t) ²= 4 12 18 .a O S s2 s3 4 9. .b O 4 6. 6 - S s2 S3 4 12 9. +. - s2 S3 +

A: Given that  L(2-3t)^2

Q: 8s - 16 (s² + s)(s² + 1),

A:

Q: 3cos3x %3D s² + (v9)

A: We have to solve given problem:

Q: IfP(A =0.3,P(B)=0.4andP(A and B)=0.7areAandBME?

A: The probabilities of the events are given as follows:

Q: d) Calculate (g o g)(3)

A: given,

Q: S L-₁ ((5 + 1)²) = eat + aebt (s Find a + b.

A: Inverse laplace transformation

Q: Q5: Evaluate 0-²cos² (1+) d0 -0.5

A: Let us assume: z=1+1θ=1+θ-1dz=0+(-1)θ-2dθ=-θ-2dθdθ=dz-θ-2   When θ=-1 then, 1+1θ=1+1-1=0When θ=-0.5…

Q: 0.2(d - 6) = 0.3 d+ 5-3+0.1d %3D

A:

Q: b(x)

A: First, transform the function from b(x) → b(x-2), the graph of b(x) will shift by 2 units in right…

Q: 4j(3 – 9j) + (5j + 2)

A: 4j(3-9j)+(5j+2)Distribute 4j4j(3)-4j(9j)+5j+2=12j-36j2+5j+2combine like terms=-36j2+17j+2

Q: 2. S 2z+8 dz (z+7)a

A: A detailed solution is given below

Q: dz 22 z²+4z S

A:

Q: #S = (a.b.c) with P(a) = 5P(b) = 7P(c), find P(c).

A: Solution :-

Q: 13(2)5 æ+8 – 6 (3)6 z+2

A:

Q: h(s)=-2√s S

A: X Intercepts: (0, 0), Y Intercepts: (0,0)Asymptotes: NoneExtreme Points: Maximum (0, 0)

Q: (-1)^-1 00 16. n=1 vn+10

A:

Q: 22.L{tsin (-2t)} O - (s²+4)? 2s (s² +4)° 8s 4s (s?+4)

A: Correct option is  = A Please find attachment for the details solution

Q: (b) En="n! n=1

A:

Q: Find the answer for X 18 X = 6.

A:

Q: (e) ap: (2² – 8)5

A:

Q: 128. Evaluate 3x + 2y - 2z when x = 5, y = 2 and z = 1. (b) 17 (d) 21 %3D %3D (a) 9 (c) 17

A:

Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: To determine whether the series ∑n=1∞​(3+8n2)(2n2+1)​​ converges or diverges, I'll use the Direct…

Q: 13. 4.16 √72h²k¹6 2 Radical Expressions

A:

Q: Lind f(t), f(s) = 5+1 2 5² +5-6

A: We need to find the function by inverse Laplace transformFormulas::First, we break the given…

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

A:

Q: Compute the following. (a) P6, 2. (b) C6, 2. (c) P6, 6.

A: P(n,r)=n!n-r!C(n,r)=n!n-r!.r!

Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: 45 73 73 17 13 43 )0 (B) 2 (C) 7. (D) 8 (E) 9

A: We can observe that in left box there is 5 which is 4+1 of the right box. Hence similarly, X should…

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: SEQUENCES AND SERIES ALGEBRA II 28-1 (THOMAS WILLIAMS, ID: 12390719) Warning: if you leave this…

A:

Q: 8. 2z (z – 1)?

A:

Q: dz (e2z – 1)2

A:

Q: 15. For Sg, find (12)(245)?

A: Topic!  Permutations of Group.

Q: r(z) = 31* +41² + 71 + 4,

A: Express mathematically the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Let the given…

Q: If n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.