Determine the area of the region bounded by y = 2x² + 10and y = 4x + 16. 0.50 O 10.67 O 21.33 O 7.50 O 23.91 О 6.45 O 1.57 О з35

Q: 4. The adjacency matrix of a multigraph G is shown below: 0. 1 2 3 1 2 1 1 1 1 1 2 1 1 Draw a diagra...

A:

Q: dy ) sin(t). (n + y) * cos(t), dt y("/3) = n, 0<t<"/2 4n V3n y = V3 * sin(t) – n cos(t) + n y =- 4 З...

A:

Q: 5. Consider the following function : x 0 (a) Calculate the Fourier series (both sines and cosines) ...

A:

Q: (c) Find first, second derivatives of the following tabulated function at the point z = 1.5 1.5 3.37...

A: Given x 1.5 2 2.5 3 3.5 4 f(x) 3.375 7.0 13.625 24 38.875 59 Since we are required to find t...

Q: 4. Prove that the next relation is equivalence relation on the set of all people: {(x, y)|x and y ar...

A:

Q: Find the Laplace transform of the following function. That is, determine coefficient F f (t) = 6e 5t...

A:

Q: Find a formula for the exponential function passing through the points (-3,,) and (1,10) y =

A: Given a function passing through the points (-3,58) and (1,10) we know the general form of the expon...

Q: The function y must be strictly decreasing on any The function y must be equal to 0 on any interval ...

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: What is the general solution to the differential equation d/dx [dy/dx] =6x+3 ?

A: We have ,  ddxdydx = 6x + 3 d2ydx2  = 6x + 3 Let , dydx = y' d2ydx2 = y'' Therefore , given differen...

Q: 0.7 number of days population of bacteria decreased Complete the following interpretation of zz (200...

A: We are given the following. A bacterial colony is cultivated in a petri dish. Let z=f(x, y) refer to...

Q: 29 , -2 and fy(1, 1) = -4. In our class, we have learned that the partial derivative fæ(1,1) determi...

A: The equation of line L1 is given by, z−1=−2x−1y=1 The equation of line L2 is given by, z−1=−4y−1x=1

Q: 1. (5+ 18i)w – 6zi = 267.32 – 10i, (6i)w – (1 + 3i) = 15.32 – 13.46i Ans. 16. 13 — 12.91i, 39.28-7.6...

A:

Q: II. Determine the Re[z] and Im[z] of the given item below. 10 1. z = 2.z= (cosT + isin)" 10 3. z = (...

A:

Q: 3. Let the curve C be traced by the vector-valued function R(t) = cos(at) î + at j + sin(at) k. Find...

A:

Q: For the following differential equations, - Classify whether the equation is ordinary or partial dif...

A: we have given the differential equation d2ydt2+d2xdt2=x we have to classify whether the equation is ...

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges....

A:

Q: Use the Bucklin voting method to determine the winner and compare it to the plurality method. Who wi...

A:

Q: A cypress beam found in the tomb of Sneferu in Egypt contained 55% of the radioactive carbon-14 (C-1...

A:

Q: (7*-7 - 5) 2х-7 lim x→ 3

A:

Q: Write the negation of the statement "They are just plainly clueless or someone is just playing safe ...

A: We will use the fact that ~(p or q) is (~p and ~q)

Q: Assume the car can be purchased for 0% down for 60 months (in lieu of rebate). A BMW that has a stic...

A:

Q: Determine (a) the volume and (b) the surface area of the three-dimensional figure. Use the t key on ...

A:

Q: 2. Let |A| = 12, |B| = 7,|C| = 9, and exactly 3 elements are common for A and B, exactly 5 elements ...

A:

Q: Find the general solution to the differential equation y" – 10y' + 25y = 75x – 80 (where y' = ) dx F...

A: The given differential equation, y''-10y'+25y=75x-80...(1) is a linear nonhomogeneous differential e...

Q: t of sinh(2 In(c)) = (A) 을 +늪 (B) c² – (C)를 - (D) c -! 2c - 1 2c (E) 0 10:12 AM Message

A: We can solve this by using sine hyperbolic function formulas

Q: x* +y" Given: u(x, y) = x’ tan' X x +y The value of x +y: is

A: Introduction:  In mathematics, the function is sometimes dependent on two or more variables. Because...

Q: sinh(2 In(c)) = %3D (A)를 + 옮 2c (B) c2 - (C)를 1 - 1 (D) c-! (E) 0 10:12 AM

A: As per our guideline we are supposed to answer only first asked question.Kindly repost other questio...

Q: For the following differential equations, - Classify whether the equation is ordinary or partial dif...

A: The operator used in the given differential equation is ∂.

Q: Find the inverse Laplace transform L-'{F(s)} of the given function. 20 F(s) s2 + 16 Your answer shou...

A:

Q: If the area of the base of the octagonal pyramid is 553.12 square feet and the height of the pyramid...

A: The volume of an octagonal pyramid is calculated using the formula: V=13×B×h, where B is the area of...

Q: Are there any non-trivial zeros of the riemann zeta function that don't have a real part of 1/2?

A: The functional equation shows that the Riemann zeta function has zeros at −2, −4,.... These are call...

Q: Evaluate

A:

Q: log,(x + 7) – log,(x + 1) →5 m

A:

Q: What is the population of the bacteria after 20 days if 300 mg of the chemical is added? Enter your ...

A:

Q: lim (cos 2x – 1) 7m

A:

Q: lim log,(4x + 1) x→ 2

A:

Q: a) Enter a definite integral that gives the volume of the solid when the region above is revolved ab...

A:

Q: Let S = {u1, u2, U3, U4} C Rª, where (1,1, 1, 1), и2 %3 (1,1, —1, —1), из —D = (1,–1,1, –1), (1, –1,...

A:

Q: 5) Given that a varies directly as the product of b and c and inversely as the square of x, answer t...

A:

Q: (a) Let D = , and an, an-1,..., a1, ao E R. Is anx" D" + an-1x"-1Dn-1+ ... + a1xD+ ao a linear opera...

A:

Q: The Ran Civilization, based on history books, started in 753 BCE and it ended in 476 AD. How long di...

A: We will add the years of BC to the years of AD to obtain the duration.

Q: Evaluate cos(0.573 + j0.783) = A + jB. Determine the imaginary component B. (A) -0.211 (B) -0.471 -0...

A:

Q: What is the difference between the SAS similarity theorem and the AA similarity postulate (besides t...

A: When the ratio of corresponding sides of two triangles is equal, the two triangles are identified as...

Q: c) e) g(7) 13 7 - g '(13) – g (7) 13 7 d) g(13) f) -

A:

Q: (b) Show that the Fourier series of f (x) is 4 (-1)" cos (2nnx) (2n)2 – 1 |

A:

Q: Solve the following initial value problem over the interval from t 0 to t 2 where y(0) = 1. Display ...

A:

Q: The average of 1 to 5 is 3. O Opinion O Command O Question O None of the choices O Suggestion O Stat...

A: In mathematics, a statement is a declarative sentence that is either true or false but not both. A s...

Q: 2. xy' + (1 + x)y = ex sin 2x %3D

A:

Q: x+3 3()** lim x--6

A:

Q: 2. The men's hosiery buyer purchased 5 dozen men's stretch hose that he plans to retail at $12.00 ea...

A: Given  selling price for each = 12.00 dollar markup  = 55%  

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.