Susan is drawing stars in her notebook. She draws 5 stars on the first page, 15 stars on the second page, 45 stars on the third page, and 135 stars on the fourth page. If this pattern continues, how many stars will Susan draw on the fifth page?

Q: 3. Verify Euler's formula for the plane graphs shown below. B (a) (b)

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Q: P4.3 If the 4th term of a geometric progression is 72 and the 9th term is 2304, then find the 12th t...

A: We will use basic knowledge of GP and arithmetic to answer this question.

Q: = (a;)3x3 A*B³ is

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Q: For the following Venn diagram, determine the set Bnc. k 10 a 4 11 9 A 15 d 7. 14 6. B. 8 1 12 13 3 ...

A: The intersection of A and B is the set of all those elements which belong to both A and B.  A ∩ B =...

Q: 3. What is the appropriate trigonometric identity that is required to solve (cos x dx ? A. sec? x =1...

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Q: -3 57 [1 3 8 24 11 and B = Compute A-B without computing A-. 6. Let A = 15 25 3 Explain and justify ...

A: Introduction: The system of equations Ax=B can be solved through matrix method. One such method is e...

Q: 2) Find d x 一+9x?

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Q: n Problems 1–18, solve each differential equation by variation of parameters. 2. y" + y = tan x 4. y...

A: To solve the below differential equation using the variation of parameters. 4y''−y=ex/2+3

Q: х 2 (тоd 3) х 3 3 (тоd 5) х34 (тоd 11)

A: Given as, x=1mod2x=2mod3x=3mod5x=4mod11 As per rule, allowed to answer first question and post the r...

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: 4. Determine if the equation is exact, and if it is exact, find the general solution. a.) (y² + 2t) ...

A: According to guidelines here solution of only firt 3 subparts, thanku

Q: 2e -3e 3e If A(t) = -3e-t 4e-t | A(t)dt. -9e-t find 8e2t -4e2t 8e2t ? ? A(t)dt = ? ?

A: The given matrix is:At=2et-3et3et-3e-t4e-t-9e-t8e2t-4e2t8e2tWe have to find ∫03Atdt

Q: Consider the function f(x, X2, X3, X4) = x+3XX4+2x2 8xxX4 +3x+7xa? O a. Fis positive definite Ob. Fi...

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Q: Show that the centre of a ring R is a sub ring of R. And also show that the centre of a division rin...

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Q: Find the remainder when 15 + 25 + 35 + ... + 985 + 995 + 1005 is divided by 4.

A: Note- Since you have asked multiple questions, we will solve the first question for you which is que...

Q: P44 If the 3rd term of a geometric progression is 36 and the 6th term is 288, then find the 13th ter...

A: We will use basic knowledge of GP and arithmetic to answer this question.

Q: Given the scalar functionf (x, y) = 2xy, calculate the line integral along the ellipse curve+ 1 from...

A: Here we have to find the value of the line integral of function f(x,y)=2xy alone the ellipse x29+y24...

Q: Find a finite difference approximation of Cf(x) + Df'(x) using the points f(x – h), f(x), and f(x + ...

A: Let f be any function defined on a vicinity of the fixed x , and let h > 0 representing apositive...

Q: 10 13 (p). (d) 16 (b) (ii) i)

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Q: prove that S" erf (x) dx =0

A: To prove the below equation. ∫−aaerfxdx=0

Q: Let F(x, y) =. Evaluate (31) F dr (1,0,0) O a. 9 + 3e3 8+ 3e3 С. 8— Зе3 O d. 10 – 3e3

A: We will use basic knowledge of vector calculus and integral calculus to answer this question.

Q: Identify the law of logic used in the following simplification step: raovqvr vs)=r

A: The main objective is to identify the the law of logic which is used in simplification.

Q: Find three consecutive odd integers whose sum is 561.

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Q: 1. Answer the following (show all solution steps) Note: m=2 n=7 a. Give the measure of your length i...

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Q: 2) Show that the interval (2, 4) is open in the upper limit topology on R. [Hint: Express (2, 4) as ...

A: We have to show that the intervel (a,b) is open in upper limit topology in R.To show (a,b) is open w...

Q: Differential equation. Please answer number 9. Show clear and complete details of your solution.

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Q: Rewrite the given triple integral in cylindrical and spherical coordinates and evaluate one of them ...

A:   Given integral ∫−22∫04−y2∫−4−x2−y24−x2−y2zx2+y2+z2dzdxdy  

Q: the curve x=cos

A: In this question, the concept of integration is applied. Integration Integration is a method of brin...

Q: 7. Recall the following statement from class: If A and B are similar matrices, then A and B have the...

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Q: E Evaluab.ff.xdA. .quadrant..bounded.b.xy=16.

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Q: For each of the functions below, indicate whether the function is onto, one-to-one, neither or both....

A: One - one function is a function that maps distinct elements of its domain to distinct elements of i...

Q: 8. Consider p and q are functions of t. Find p'(t) for the following equation. 1-p? = q dp А. dt 2 d...

A:

Q: 2-2

A: # We are entitled to solve one question at a time please resubmit the other questions if you wish to...

Q: (x1 - 2x2- X3 = 2 a3 = -4, Findb3 2a1 2a2 2a3 bị a a1 a2 az b2 a2 %3D et b b2 b3 IC3 + 3b3 C2+3b2 C ...

A: Given, a1b1c1a2b2c2a3b3c3=-4 We have to find  2a32a22a1b3-a3b2-a2b1-a1c3+3b3c2+3b2c1+3b1    

Q: 2. Let f : (0, ] → R such that f(z) = r². • Show that f(x) < z. • Show that f has no fixed point on ...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: Determine validity using euler circles. No cat is easy to please. All persons who are easy to pleas...

A: Eulers circle is a dramatical representation which tells about the set and its relation. It helps to...

Q: 2) From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible i...

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Q: Suppose that z depends on variables r, s. and . and r. s, and I each depend on a variable x. Find a ...

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Q: Note: m=2 Weight: 1.15 kg Give the weight of your laptop in gram. What is its weight in ton? Give yo...

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Q: Draw projections

A: The question post explicitly on the top (in the text form) mentions to "Draw projections". So, we ta...

Q: Maclaurin series for f(x) = e¯3, or the series. Show your work. te e¯§ to five terms. What is the ur...

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Q: 1 -1 1 3. Given A = 1 -1 1 1 Lo 1 -1. a) Find A-1. b) Write the corresponding elementary matrix for ...

A: (a) we have given the matrix A = 110001-111-111010-1 we have to find the A-1 Now by using elementary...

Q: 1. Apply the Sieve Process from 200 to 300.

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Q: One solution of the given differential equation is given. Use the reduction of order formula to find...

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Q: In a community in which R elderly people and people with comorbidities are susceptible to a particul...

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Q: 25y 0;

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Q: Six equal rods AB, BC, CD, DE, FE and FA are each of weight W 6. and are freely jointed at there ext...

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Q: Solve the following  complex numbers in their rectangular form. Use the given formula and use 4 deci...

A: Given csc-1(-2.0807+4.5465i)               (1) We have given formula is Csch-zz=ln1+z2+1z           ...

Q: [1 b+1] The value of b such that the det(A) = -1 is 8. Given the matrix A %3D 3. . Thus the matrix A...

A: The given matrix is A=1b+138 and detA=-1To find the value of b.

Q: +x sin +:

A: