Classify the number as a member of one or more of the following sets: the rational numbers, the integers, the natural numbers, the irrational numbers. 8 OA. Rational number, natural number B. Rational number, integer OC. Rational number D. Irrational number O O O

Q: The series -1() Lk=1 a ) converge to e b) converge to e-1 c) converge to 1 d) diverge e ) none

A: Given series is ∑k=1∞ k+1kk

Q: (8r - 9)"

A: the given figure is as follows given the arc length  CE⏜=158° which is the measure of the angle the...

Q: Determine whether the following integral converges or diverges. Be sure to use proper mathematical n...

A: We have to check the given interval is convergent or divergent.

Q: Suppose the velocity of an object at time t is given by v(t) + m/s. 4(21+5)² 100 Find the average ve...

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Q: If the gradient of f is Vƒ = 3x i + z² j+ 2yz k and the point P = (4, –6, –9) lies on the level surf...

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Q: Find the general solution of this ODE: d?y dy + 34y = - 2e 4t + 10- dt? dt The solution will be of t...

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Q: 4. Consider a periodic function which takes the form f(t) = 3t on the interval -1 < t< 1 and has per...

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Q: 3. Match the polynomial functions to the graphs below, (a is a positive constant). (I) f(2) = -a(x -...

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Q: Determine the line and the reason for the entry on line 3 given the following part of a formal proof...

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Q: (п+ 1)! 6. Simplify: (a)- n! n! (b). (п — 3)! (п — 1)! (с) (п + 2)! (п —г+ 1)! (а) (п —г — 1)!

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Q: A point P(1, 3, -5) is translated by 2i+3j-4k and then rotated counter clockwise by 90° about the z-...

A: Given a point P(1,3,-5) is translated by 2i^+3j^-4k^ and then rotated counter clockwise by 90° about...

Q: acos(b/x f(x) 2 (x^q)s

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Q: Let R be the region bounded by y 8 sin 2 point (? 8)

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: Show the solution in gaussian elimination, the answer is provided that x = 1, y = 0, z= 2, w = 3. 2x...

A: In the Gaussian elimination process we first write the augmented matrix of the corresponding system ...

Q: 2. Play with GeoGebra applet on Converting between improper fractions and mixed numbers. a. Use the ...

A: (a) Use GeoGebra applet to convert an improper fraction into a mixed fraction.  

Q: #T. Prove that the following two statements are not logically equivalent. In your proof, completely ...

A: We will solve this by using definition of logically equivalent

Q: 2 2. Write the equation in standard form for the circle x+ y' + 8y 34 0. Submit

A: Given the equation for the circle is x2+y2+8y-34=0

Q: C) prave that sbatz = Clnrtt - an for all nE B, Nzl. %3D |

A: We will prove the relation of part c by mathematical inducation. 

Q: Solve for AB, what is the value in AB12 |2 4| A = |6 2| |8 & B = 7| 5

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Q: If the costs $756 to put a fence around a circular pond, what will it cost to enclose another pond h...

A: Given costs (P)= $756

Q: Use the rules for exponents to rewrite the expression and then evaluate the new expression. (-2) -(-...

A: Solution

Q: A A -(RA¬S) v ¬R B -(¬RVS) V R B © -(¬RVS) = ¬R (RA-S)V¬R

A: (R∧¬S)⇒¬R

Q: Use the existence and uniqueness theorem to find the largest interval on which the solution of the f...

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Q: Prove that the following is a valid argument: All real numbers have nonnegative squares. The number ...

A: Let  p : real number q : nonnegative squares  

Q: Evaluate the limit 200 lim 5+2in (nx) ブ+6+Cnx) lim 5*+2 メ→の 100

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Q: If f (2, y, 2) = r'yz + 23 then fyzæzzaz (-1, 1, 1) %3D

A: The expression fx is the partial derivative of f with respect to x. When partial derivative is perfo...

Q: Show that the Gaussian solitary wave u(t, x) = e=}(2+31)² is a solution to the logarithmic Korteweg-...

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Q: Evaluate the limit lim 5*+2+[In CInx) メつ0 プ+6+ (nx)0 200 100

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Q: In mathematics, a row is referred to as a tuple. Can you explain this?

A: Tuple is defined as a finite ordered list of elements. 

Q: 5х +16у+10z %3D 45 3х - 2у + 7z %3 17 5х +у+323D9

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Q: Find the dimensions of a open topped box that maximizes the volume with the constraint that the surf...

A: We will use Lagranges multiplier method to find dimension of the box .

Q: Determine whether the given differential equation is Exact or not. If its exact, solve it directly. ...

A: As given by the question There are given that the differential equation: 2x2+8xy+y2dx+2x2+xy23dy=0 T...

Q: Find the monthly house payments necessary to amortize the following loan. Then calculate the total p...

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Q: Let u = and v = 2 Let T : R? → R² be a linear transformation such that T(u) = and T(v)=

A: Linear transformation

Q: 11+11-12=

A: Introduction: Addition is a mathematical operation that represents the joining of two or more object...

Q: Use Euler method to approximate the value of y(0.1), given               y' - 4y = 3x2 ,  y(0) = 4 ...

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Q: dy-yin(yedx=ycos

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Q: Given yı (t) = t and y2(t) = t satisfy the corresponding homogeneous equation of ty" – 2y = 1– 2t, t...

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Q: In what directions is the derivative of f(x,y)= xy + y² at P(6,7) equal to zero? Select the correct ...

A: To find- In what directions is the derivative of fx, y = xy + y2 at P6, 7 equal to zero?

Q: Cardo put P3300 in a savings account at a simple interest rate of 4%. Alyana put P2900 in a savings ...

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Q: +ッ) By'k dy =0 dx + メ オ 9こ2

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Q: f(æ) = at x = 2 is (B) y = - (– 2) 16 (C) y = } -(x- 2) ( - 2) (D) y = 16 - (E) 1 3 (7 - 2)

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Q: Find the area of this composite shape. 11 cm 3 cm 16 cm 5 cm 4 cm 7 cm 4 cm 4 cm

A: The area of triangle is calculated using the formula: A=12×b×h, where b is the length of the base an...

Q: For all a be a, a=gal cabl id and only it acdinde b

A: We have to prove that for all a, b∈Z+, a=gcda,b if and only if a divides b. First we will prove if a...

Q: Need help with this calculus question, please do all. Thanks.

A:

Q: 2. At what point on z = a? + y? is the tangent plane parallel to 3.x – 4y + z = 7 ? %3D

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Q: please send complete handwritten solution Q6

A: We use rules of inference to prove our claim.

Q: %3D 9-C 26

A: Solve the equation  

Q: The monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenditures are in the ...

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Q: Determine the line and the reason for the entry on line 4 given the following part of a formal proof...

A: For two given statements, if one statement implies the other and the first statement is valid, then ...