the score shared. Be sure to show your work and explain your reasonlng. 1. For each of the following integral. Make a sketch of the region bounded by the given curves. Approximate the area of these regions • using 4 pieces and right endpoints. • using 4 picccs and lcft cndpoints. (a) y = x², x = 2, x = 8, x-axis %3D (b) y = x² – x, x = 1, x = 3, x-axis %3D (с) у — 21 — 1*, х — 0, х — 2, х-ахis 2. Suppose that f is integrable and that -7 f (x)d.r = 5, | f (x)d.r = 3, | f(x) = 2, g(x) = 10. %3D %3D 3. Use the integration rules to find (a) S 3f(x)dxr. (b) -2f(x)dx. (c) S 4f(x)dx. (d) S 4f(x) – 29(x)dx. 1

Q: 5. Let 0 be the angle between vectors ū = (1,3) and i = (5, 2). What is cos 0 and what is sin 0?

A: Angle between two vectors is given by,

Q: y – x + t, y' x' x(0) = 1 y(0) = 8 Find the solution to the system of differential equations: Y, x(t...

A: According to the given information. It is required to solve the system of differential equations.

Q: Consider the Taylor polynomial Tn (x) centered at a = 14 for all n for the function f(x) = where i i...

A:

Q: The monthly rent on an 80-square-meter apartment in Monte Carlo is €1150. (The symbol for the euro i...

A:

Q: Find all eigenvalues and eigenvectors of the backward shift operator TE L(F°) defined by T(z1, 72, Z...

A:

Q: Find the radius of convergence, R, of the series. (x + 8)" n = 2 8" In(n) R = Find the interval, I, ...

A:

Q: Explain why the given series is convergent. How many terms of the series do we need to add in order ...

A:

Q: Evaluate the triple integral of f(x,y,z)=z(x2+y2+z2)−3/2f(x,y,z)=z(x2+y2+z2)−3/2 over the part of th...

A: Consider the provided question,

Q: If f(n)(0)= (n+1)! For n=0,1,2,..., find the maclaurin series for f.

A:

Q: 12. Calculate the area and volume of a sphere knowing that the length of its equator is L = 12p cm.

A:

Q: 1. Find all solutions to the vector equation (:) --( ) --( ) -()--() 14 22 12+

A:

Q: People 25 years or older do not pay an additional car rental fee.   If a person is 25 ye...

A: According to the given information, it is required to choose the best conditional statement of the g...

Q: 4. Find the equation of the line perpendicular to the line 3y = 2 – 4xand passing through the point ...

A: The slope of perpendicular line is given by, -dx/dy

Q: Lupé made a down payment of $6000 toward the purchase of a new car. To pay the balance of the purcha...

A:

Q: Determine which of the following sets are bases for R3. (a) {(1,0,–1), (2, 5, 1), (0, –4, 3)} (Ъ) {(...

A:

Q: State whether the following Claims are true and explain why. Claim: ∃ sets A, B, and C such that: A ...

A:

Q: ) Is the following a valid. duction Rule? Explain in detail why or why not? P -Q .P + (Q ^ R)

A:

Q: Prove AX(B−C) = (AXB)−(AXC)

A:

Q: 13. A cylindrical tank has a height of 3 m and an outer diameter of 10 m. Its walls are 20 cm thick....

A:

Q: Part D

A: Consider the provided question, We have to solve the part (d). (d)

Q: Suppose that f0, f1, f2, . . . is a sequence defined as follows:f0 = 5, f1 = 16,fk = 7fk−1 − 10fk−2,...

A:

Q: Prove that 3^1 + 3^2 + 3^3 + 3^4 + ... + 3^n = (3^(n+1) -3)/(2) for every n ∈ N

A:

Q: 1.0 1,0 F1 2x, y = 6 – x², and the y-axis, and its mass density is 8(x, y) q(x) The region R is boun...

A:

Q: This problem is Linear Algebra Based. Having trouble solving question 2 and 3.

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will ...

Q: Given the geometric series 1 + π/e + π2/e2 + π3/e3 + . . . rewrite the series in the form ∑∞ n=1 arn...

A:

Q: The 4th degree Taylor polynomial for sin(x) centered at a = is given by V3 V3 + R4(x). sin(x) = + х ...

A:

Q: 27. The following matrix represents the profits (in thousands of $) of a company in the last quarter...

A:

Q: Use Newton’s method to approximate an intersection point between f(x) = tan(x) and g(x) = 2x. Use th...

A:

Q: Let -1 7 -1 15 -2 (1) Find a matrix P that diagonalizes A. (2) By definition, the matrix P you found...

A:

Q: Express the limit as a definite integral on the given interval. cos(x) Дх, [2л, Зл] X; lim Зл dx 27

A:

Q: 10

A:

Q: 34. A cylinder and a sphere have the same radius value. If the cylinder has a volume equal to one th...

A:

Q: Using Richard Hammack's book of Elements of Discrete Mathematics chapter 18 in cardinality. Prove th...

A:

Q: An efficiency study of the morning shift at a certain factory indicates that an average worker arriv...

A:

Q: discrete mathematics/structures

A:

Q: 8. Evaluate: Σο 100 (2k + 1) k=1 9. Evaluate: Σ(, k=2

A:  

Q: Part D

A:

Q: 4. Let A and B be sets and let T C B. Also let f : A → B. (a) Use a diagram to show that f(f-'(T)) C...

A: According to the given information,

Q: Verify that the vector X is a solution of the given homogeneous system. dx Зх— Зу dt Ap Зх — 7у; dt ...

A: Here,

Q: what is the solution?

A: According to the given information, it is required to write the stochastic matrix corresponding to t...

Q: 3 10 Find the eigenvalues of the matrix A = and for each eigenvalue, find a corresponding eigenvecto...

A:

Q: Question 8 How many ways can the letters of the word THEORY can be arranged in a row if TH must...

A:

Q: 9

A:

Q: 5. Find a closed form for the sequence: an = an-1 + 5 where ao = 3. 6. Find a closed form for the se...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Q2 ,Q3 , Q4 ,Q5 i need all solution for all

A: Hi! You have posted multiple questions. As per norms, we will be solving only three questions. We wi...

Q: Parts D-E

A:

Q: Solve the given initial-value problem. () 3 11 16 X' = 0 о х, X(0) 0 X, 4 1 3, X(t) =

A:

Q: 3. A straight river flows east at a rate of 6 mi/h. A woman launches a boat from the south shore of ...

A:

Q: Solve q7 all parts

A:

Q: Find the product in the same base as the given numerals. 43twelve × 891twelve

A: