7. sin IN

Q: Solve using integral and please show graph with strips: Find the area bounded by the function below ...

A: The area bounded between a function f(x) defined over two separate intervals and the x-axis can be d...

Q: 40 0 2 0 1 2 4 1. Given A -1 (a) For each distinct eigenvalue, find the corresponding eigenspace. (b...

A: Given matrix is: A=400-120124

Q: Find the general solution to the following equations 3 x'(t) = (

A: We have to find the general solution of the following homogeneous linear system of equations:  x't=3...

Q: If a R12000 refrigerator depreciates completely in 10 years. Find the formula for its valueas a func...

A: The equation for a function can be obtained by using the values given of the function at different i...

Q: Quickly please

A: The given equation of uniform stram is Ψ=12λr2sin2θ                             (I) The given equati...

Q: Question 1 facilities in the city. They have been contracted to supply 4 different restaurants with ...

A: Let x be the amount of coffee shipped from roaster 1 and y be the amount of coffee shipped from roas...

Q: 1. Deduce the continuous function whose Laplace Transform is 10 F(p) P (p² + 9) 2.Find Р2—ЗР+10 (i) ...

A:

Q: Help

A: Given, △PQR and the perpendicular bisectors of its are sv, TV and UV. and      UV=48      PS =62    ...

Q: 8) Let A = {2,3,4, 5}, R is defined on A such that (aRB) if and only if (a2 +B+a) is an even number....

A: Given A={2,3,4,5} We define a relation R on A by (αRβ) if and only if (α2+β+a) is an even number her...

Q: Let L be a finite dimensional simple Lie algebra. Prove that any invariant bilinear form on L is a s...

A: Let L be a finite-dimensional simple Lie algebra.  To prove any invariant bilinear form on L is a sc...

Q: The series n3 ∞ 1 dx (C) because the integral 1 converges, f (x) = is positive and decreasing for al...

A: The given series is ∑an=∑1n3 We will use the integral test to check the convergence of given series....

Q: 27 What is the complement of · in degrees? а. 40° b. 50° с. 1500 d. 140°

A: Let x=2π9 Compute the complement of the angle 2π9 as follows. It is known that the sum of the comple...

Q: Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are ort...

A: Given that the matrix A=-10-10-10-103 is a symmetric matrix. We have to show that the eigenvectors c...

Q: Which of the following vector functions represents the curve of intersection of the cylinder x2 + z2...

A: We have to find vector functions representing curve of intersection of cylinder and plane. Plane    ...

Q: (i) Find the solution set of the following equations: 2 log, x-3log, y=7 and log, x-2log, y = 4 (ii)...

A: Use the properties of logarithm to simplify the equations. Assume the logarithm terms in part 1 as a...

Q: Let S = {x €R | x + 3}. Define * on S by a * b = 12 - 3a - 3b + ab Prove that (S, *) is a group.

A: The set G with binary operation * is said to form a group if it satisfies the following properties. ...

Q: Define sets A and B of integers as follows: A= {neZ\n=5r for some integer r} B= {me Z|m=3s for some ...

A: Set theory is a special branch of mathematics. A set is a well defined collection of objects. A set ...

Q: Question in picture

A:

Q: 7. Which of the following does not belong to the group? cos²e 1 b. 1+ tan²e c. -1+ csc²e d. tan²0 а....

A: Few trigonometric identities: 1+tan2θ=sec2θ 1+cot2θ=cosec2θ  To determine which option is different ...

Q: A television production company charges a basic fee of $4,700 and then $2,800 an hour when filming a...

A: The general linear equation in two variable can be denoted as ax+by+c=0 where 0≠a,b∈ℝ and c∈ℝ.The ot...

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

A: Given curves, y=6ex, y=6e-x, x=1 To find the volume about the y - axis.

Q: What is the inverse of 16 modulo 43 i.e. which number a has the property that 16*a has the remainder...

A: From question we have to find the inverse of 16 modulo 43. i.e  16*a mod(43)=1 It can also be writte...

Q: Hints • Master Method • Use recursion tree to give you the intuition • Formulate a hypothesis and us...

A: Given the recursive function is Tn=2Tn+lg n. Show complexity of the algorithm.

Q: Between 0C and 30C, the volume V (in cubic centimeters) of 1kg of water at a temperature T is given ...

A:

Q: 6. Let R be the region in the xy-plane bounded by the curves y = x2 and y = 8 – x². Sketch this regi...

A: Given: The curves y=x2 and y=8-x2. Calculation: Use an online graphing calculator and sketch the reg...

Q: How do you solve the 8th question?

A: Given x'=-3021-10-2-10x

Q: Quickly please

A: Given, wz=iz5cosnt-isinnt=iz5cosnt+z5sinntThen,u=z5sinntv=z5cosnt  

Q: Mr. Powers is assembling an above ground pool for his grandkids. The pool is 15 feet in diameter. He...

A: Given Information -  Diameter of pool = 15 feet Height of sand that is to be laid in the pool = 1 in...

Q: Find the volume of area created by rotating function f(x) = Vx – 1 around x-axis from x= 2 to x 3 %3...

A: Volume of a rotating function around x- axis is V=π∫abfx2dx Given fx=x-1, a=2 and b=3

Q: Find the volume of the solid.

A: In mathematics, we study two types of figures one is curvilinear while other is non-curvilinear. Cur...

Q: solve the following Dirichlet problem of Laplace equation Au = 0 u(0, y) = 0 u(T, y) = sin(y) u(x, 0...

A: The given boundary conditions of Dirichlet problem is, ∆u=0                            0<x,y<π...

Q: 1. This question studies the stability of the solution of the heat equation. Let D be a bounded doma...

A: Let D be the bounded domain in ℝ3 and let QT=D×(0,T ]. u1t=k∆u1+hin QTu1=f1on ∂D×(0,T]u1t=0=g1in Du2...

Q: Q3) (cos y – 2xy + dx – (x² + xsin y)dy = 0 x²+

A: Simplify the equations by grouping like terms and using the product rule of differentiation. Look fo...

Q: Discrete Maths question

A: Consider the given function A=1, 2, 3, 4, 5.  

Q: Solve the following first order differential equation ? ′ = ?+1 ?2+1 , and give the solution to the ...

A: Given: The first order differential equation is y'=x+1y2+1 and General first order differential equa...

Q: Evaluate each definite integral

A: The given integral is ∫24-x3+4x2-5dx.

Q: 2) Test if the given differential is homogeneous or not. If it is homogeneous, determine its degree....

A: In the given question we have to check the given function f(x,y) s.t f(x,y)=2y+x2+y2 is homogeneous ...

Q: Calculate the volumétrico of the pipe, neglect the thickness of the material

A: From the figure, lets assume the tanker to be a cylindrical . The volume of a cylinder is given by t...

Q: Inverses Image Question.

A: Given function is                                              y=(x+2)2; x∈-∞, ∞  and  y∈[0, ∞) Rest...

Q: CALCULATING WORK

A: Given that, A tank that is 8 feet deep with a square bottom with sides 4 feet each. That is Length o...

Q: 4) Find BC 6. 17° 14

A: Using the law of cosines , it can be written as follows. a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=a2+b2-2a...

Q: d to f

A: Use the formulas below to evaluate the integrals. ∫eaxdx=eaxa+C∫xndx=xn+1n+1+C∫dxx=lnx+C

Q: part C

A: In the given question we have to find the interval of the convergence of the Maclaurin series of the...

Q: Help asap

A: Given f(x)=x2+x-20. Find the area bounded by x-axis and f(x) on [2,5].

Q: Help please

A: Given:∆GCD is isosceles.it means GC=GD and ∠GCD=∠GDCAG≅FG therefore we can say AG=FGBC≅ED therefore ...

Q: Find the gradient of the following functions at the requested point.

A: We are given : f(x,y)=2x+3y in P(-1,2) Now, ∇f(x,y)=∂f∂x,∂f∂y∂f∂x=122x+3y(2)=12x+3y∂f∂y=122x+3y3=322...

Q: Using Substitution Techniques solve for the implicit solution dy/dx = tan(x+y)

A: Given that dydx=tan(x+y) Take U=x+y And, Y=U-X Then, dydx=dudx-1  

Q: Determine the line integral of the differential form (x + 3y²)dx – (-6xy + z)dy from points (1,0,3) ...

A: Let us consider the Curve C which is parameterized by r(t)=(x(t),y(t),z(t)), a≤t≤b ∫CP dx+Q dy =∫CP(...

Q: A glyptodont fossil has lost 98.3% of its Carbon-14. (Recall that the half-life of Carbon-14 is 5750...

A: (a) Given: A glyptodont fossils has lost 98.3% of its C-14 Initially it has 100% of C-14 Percent of ...

Q: Point B has coordinates (3,-4) and lied on the circle whose equation is x2 + y2 = 25. If an angle is...

A: Given: The circle equation: x2 + y2 = 25 Point B has coordinates (3,-4) and lied on the given circle...

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.