Evaluate each expression. Express your answers as simplified fractions and rationalize the denominator, if possible. cos 45° cos 45° - sin 45° sin 45° =

Q: itemA4] (refer to the photo below) Why did the population decrease in 1994 after it exceeded the…

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Q: SECTION 2.7: A 4)FIND THE LINEAR IZATION L(x) OF THE FUNOTION AT . fa) = 2/x=-5, az3

A: Formula for linearization -  L(x) = f(a) + f'(a) (x-a)  Here, a = 3

Q: 12. {X:Xc{3,2, a} and X= 1}

A: Here given as 12.

Q: 2. If a baseball is thrown at vom/sec at an angle of 0 from the horizontal from an initial height of…

A: SOLUTION: Given that a baseball is  thrown at v0m/s. Now,

Q: (a) Find P(A1 U A2 U A3) (b) Show that P(A1 U A2 U A3) = 1-(1-1/3)^3

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Q: Fn is even if and only if 3|n.

A: The Fibonacci sequence is a series of numbers where n is the addition of the last two numbers.…

Q: Exercises 150–152 will help you prepare for the material covered in the next section. In each…

A: The addition or subtraction of two rational numbers are posible if the denominator of both the…

Q: A company produces three types of shoes, formal, casual, and athletic, at its two factories, Factory…

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Q: Solve the equation 24x 25-x 8*-3 (ii) lg(2y+ 10) + lgy = 2. 4* (i) %3D

A: Properties of the indices and surds  (ax)y=axy axay=ax-y If ax=ay⇒x=y log a+log b=log (ab)

Q: 1 5. (Ch. 2.5) Solve the equation V2x – 9 2

A: Answer and explanation is given below..

Q: Simplify and solve for the unknown 11. 63A - 81 = 72 %3D

A: Only question #11 is complete so, i solve this.

Q: 5 and 6 please

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Q: Example 2.29. Find the smallest root of the equation X X 1-x+ + ... = 0 (21)² (31)² (4!)² (5!)².

A: This is a problem of power series.

Q: vertex of c(x) = −2x^2 − 10x + 4

A: The objective of this question is to find the vertex of the given quadratic function. The vertex of…

Q: Problem 2 Solutions (a) (81×82] 83) = (83-83)=1 %3D 3.

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Q: 10, 14, 16, Page 52. Find the real and imaginary parts of the following functions: (a) f(z) = −3z +…

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Q: e2x (x3 - 2) x(3e5x +1) 52. f(x) = %3D

A:

Q: Describe the bifurcation that occurs when A = -1.

A: The bifurcation that occurs when λ=-1 is described as shown below

Q: Question2 (a)Find the negative solution of x*-x = 0.12

A: 2. (a) Use the transformation below to express the equation in: x=g(x) form which is necessary for…

Q: S₂ (1-t) ² dt 2

A: Solution

Q: Chapter 7, Section 7.2, Question 065 The size of two towns t years after 2010 is given by u (t) =…

A: Given:

Q: 1 -1 Solve. AX = B. A= 3 -1 4 の 1/1 1一9

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Q: (15)3 in exponential form

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Q: Find the inflection points of f (x) = x* +x – 30x² + 6. Enter the exact answers in increasing order.

A: Given function  f(x)=x4+x3-30x2+6

Q: D; Exponential Shifting ,Theorem 2. (D* + 4D+ 4) y- 'o4 e-*

A:

Q: Perform the indicated operations. -(4-7)² ÷ (-3)∙4= C

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Q: 14. 2. loga(r) +3. loga(y) 13. 3. loga(1) + 3· loga(y) – 2 · loga(z) 16. 2+ log6(r) – 3. log6(y) 15.…

A:

Q: (e*+1)

A: We have to find the integral: ∫ex+12e2xdx Rewriting the given integral,…

Q: 5/4 - 3/4

A: To determine: solve the expression Given: 54-34 Explanation: we have an expression 54-34 we know…

Q: Write your answers without exp ((1)/(16))^((3)/(4))

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Q: 19. Find either F(s) or f(t) as indicated. (Section 7.3) a) L{(4t + 1)U(t – 1)} b) L-1

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Q: 2. Let -2 3] 1 5 A = (a) Write down the quadratic form, Q(x), for AT A.

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Q: Sections 4.1, 4.2 To receive full credit on this Homework assignment you must show all your work.…

A: We have to find value of given indefinite integral.