2. Prove the reduction formula: (5 pts) n-1 sin x cos n - n-2 | cos" xdx = cos" xdx

Q: What is the measurement of the missing angle? Explain

A: To find the missing angle in the given figure.

Q: (f) Let A, B and C be three sets. Prove by contradiction that if An B C C and r E B, then x ¢ A – C.

A:

Q: Identify the conclusion in the statement: Composite numbers are a subset of integers and irrational ...

A:

Q: of the angles

A: the angles are calculated as follows y=49°  Reason : Vertically opposite angles  

Q: 10= hyp 6.

A:

Q: -1 -2 -4 Find the eigenvalues and eigenvectors of the matrix A 4 3 3 %3D and d2 = and dz = 15

A: To find- Find the eigenvalues and eigenvectors of the matrix A = -1-2-4040-303

Q: 3. Note : m=0 a. Graph the following function: f (k) + 4 = 3-2x-m + 8 c. Expand logarithmic expressi...

A: Given: function f(x)+4=3-2x-m+8 m=0 f(x)+4=3-2x+0+8 ⇒f(x)=3-2x+8-4 ⇒f(x)=3-2x+4

Q: Sketch. the..region.cf.inbegratizon.and.evaluate.. theu. fallowing.integrals.4 A..

A:

Q: the followms lineer pgramming Poblem: 3x, + Xe t 213 s.t. ズ」 X +2X3 s 20 2文,+ X』 Xる く(o 20. て apply ...

A:

Q: iv. 3r(P(x) ^ ¬Q(x))

A:

Q: 1. What is the future worth of each of the given series of payments? (a) $10,000 at the end of each ...

A: Solution :-

Q: rite a rule for the nnth term of the arithmetic sequence. a18=−59,a21=−

A: The general term of the Arithmetic sequence is given by an=a+n-1d where n is the number of terms and...

Q: Calculate the perimeter of each of these shapes. Give your answers in exact form. a 12 cm 50° 12 cm ...

A:

Q: Let f(x,y) = x sin ry. Find: (a) fr(T,y) (b) fy(x, y)

A:

Q: (e) Decide if the following arguments are valid or invalid. State the Rule of Inference or fallacy u...

A: Introduction: An argument can be checked whether it is valid or invalid through the rules of inferen...

Q: 2. Prove: "The size of every bipartite graph of order n is at most ". Provide an 4 illustration and ...

A: Definition: A simple graph whose set of vertices can be partitioned into two sets V1 and V2 such tha...

Q: FIND THE INVERSE OF THE MATRIX

A:

Q: Find the volume of the solid, by using the shell method, obtained by rotating the region bounded by ...

A: First draw the graph of the solid generated by revolving the given region around the y-axis.  

Q: please solve the limit and give an explanation on the steps 2x +8 x² – 12 x + 6 | lim x-6 if no expl...

A:

Q: cos(y) e(s) (s)

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points...

Q: price of an identical pair of sunglasses in Store B. Both stores gave the same discu The usual price...

A:  Discount = Marked Price – Selling Price. Discount Percentage = (Discount/Marked price) x 100. ...

Q: Find a unit vector in the direction of the vector A unit vector in the direction of the given vector...

A: To find a unit vector in the direction of the below vector. −85−4

Q: and boundary conditions: -(0, t) = 0, -(L,t) = 0. (a) Use the method of separation of variables: U(r...

A:

Q: 4. Simplify the following: Note : m=5 n=3 x" Vy4 z² (x³ y6)0 x³ y-2, (x³ y4 z=7)(m+4) x yz

A: Solution

Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: 1.3 KPMN is a parallelogram. ON bisects KNM and OM bisects NMP. Let N= x and M = y and show that NOM...

A: A parallelogram is a quadrilateral in which opposite sides are parallel. The opposite sides of the p...

Q: Q2/ Use the polynomial that fits data shown by Newton divided difference ,and estimate f(6). Ans. 14...

A: Given the data table x 3 7 9 10 f(x) 168 120 72 63 We have to find polynomials that fit data...

Q: Luis and his best friend Faith want to spend as much time as possible at the local amusement park th...

A: This is a problem of counting.

Q: 1. Find the linear regression 0.7 0.96 1.13 1.57 1.92 0.19 0.21 0.23 0.25 0.31

A: We are given the following data for which we need to do linear regression. X Y 0.7 0.19 0.96 ...

Q: .1 Use a calculator to calculate the following. Write your answer using the rounding instruction wit...

A:

Q: The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z2 = 2100 + 15 is: a) i...

A:

Q: Discussion 6.1 Runge - Kutta Methods Given y = , y (0) = 1, h = 0.5. Find y (2) using the fourth-ord...

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Q: Discrete math

A:

Q: very bipar

A: Definition: A simple graph whose set of vertices can be partitioned into two sets V1and V2 such that...

Q: 1. r(t) = (3 sin t)i+ (3 cos t)j + 4tk

A:

Q: (d) Give an example of an equivalence relation on the set f1,2, 3} with exactly two equivalence clas...

A:

Q: Insert 4 arithmetic means between 1 and 15

A: Introduction: When there is a constant common difference between two successive terms of a sequence,...

Q: Find the Fourier Series of the function f(x) f (x) = {!-t/2 -2<t<0 (1+t/2 0 <t <2 Find the Fourier S...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Jamie's monthly rental for her apartment was $1600. Patrick's monthly rental was 9/10 of Jamie's mon...

A:

Q: 1. Determine the incidence matrices of the graphs below. a) b) a (b of

A:

Q: (b) By minimizing the function f(x, y, u, v) = (1 – u)² + (y – v)² subject to the constraints y = r+...

A:

Q: 4. Consider the following 1D heat equation: U = a 00 t where a is a real positive constant, subject ...

A: Since you asked only parts (c) and (d), i use the results of part (a) and (b) from the given questio...

Q: Estimate the second derivative of f (x) = difference approach with h=O.1? 25x3 6x2 + 7x -88 at x-2, ...

A:

Q: 1. Find Solution using Newton's Divided Difference Interpolation (x = 301)? f(x) 300 2.4771 304 2.48...

A: To find- Find Solution using Newton's Divided Difference Interpolation x = 301?

Q: 7 Express in partial fraction form, hence find the summation of the series, r(r+ 1)(r + 2) 7 Σ r(r+ ...

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Q: 2 1 31 Find the inverse of A = 4 -1 3 -2 51

A:

Q: e**Ydx – e2ydy = 0; y = 0 when x = 0

A: ex+ydx=e-2ydydydx=exeye-2ydydx=exe3y∫e-3ydy=∫exdxe-3y-3=ex+cPut x=0,y=0, we get c=-43So, e-3y=-3ex+4

Q: The cone and the sphere shown have the same volume. The diameter of the cone is 24 centimeters, and ...

A: The volume is the measure of space occupied by a closed surface. In this problem, the closed surface...

Q: Find the area. 40

A: the given figure is composed of rectangle and triangle Therefore the area of the given figure is sum...

Q: Question 2: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 a...

A: To find-  Insert 4 arithmetic means between 1 and 15. Insert 5 geometric means between 3 and 192.