1. Suppose a e Z is an integer. Prove that a is odd if and only if a³ is odd.

Q: 3. The fuel used by a car is defined

A: Given,            f(x)=3x280-6x+245

Q: Add. Simplify by collecting like radical terms, if possible. 3/7 +2/7 The answer is (Type an exact a...

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Q: 2

A: We have to convert 617 into fraction notation

Q: Instruction: Who am 1? Use figure 2 and the guided information to answer the Activity: 3 activity 3 ...

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Q: f(1) = 1 0 (-1<1< 0) 1 (0<t<1) b.

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Q: An ellipsoid S has the parametric equation S(0, ) = (cos0 sinø, 2sin0 sinø, 4cos ø) where O and øare...

A:  First we find tangent vectors ∂S∂θ and ∂S∂ϕ then we take cross product of these vector to get norma...

Q: I Sohe the differential equations FODE 1. ( 3x-y-4) dy (x+y-4) dx when x-3, y=7 2. 2x°cos y dy + sm ...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Find the directional derivative of the function h at the point (1,1,1) in the direction of vector v....

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Q: The figure below is given with b= 40. Solve for a and c. Any format will do. If you use decimals, ro...

A: Given  A triangle with side b = 40 we have to find a and c  

Q: t3 - 3t2 + 5t – 8

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Q: Find the angle between the two given vectors. u = (1,-4, 1), v (0, 2,-2) Write your answer in degree...

A: Solution :-

Q: There is a unique group law on the 8- element set Q = {±1, ±i, ±j, ±k} that makes i2 = j2 = k2 = ijk...

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Q: What is the truth value of the following statement: -(p V ~p) True False

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Q: ANSWER ONLY 70

A: 70. Given that  cot θ=-3 and θ lies in Quadrant II. 

Q: Consider a delayed logistic equation of the form z(t + At) = z(t) + ar(t) (1– z(t – 2At)' K (a) Writ...

A: Given: Let us consider the given delayed logistic equation of the form, xt+∆t=xt+αxt1-xt-2∆tK and wr...

Q: a. In how many ways can they line up so that no two geese are standing next to one another? (There i...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: Express the given terminating decimal as

A: Given, the terminating decimal                 0.46          

Q: I. Let the universal set U {0 < x < 20}. Let A = {1,4, 7, 10, 19, 15, 14}, B= {1, 7, 19, 8, 5}, and ...

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Q: Sketch a picture of triangle ABC with angle A = 110 degrees. Thank You.

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Q: х — 3 lim Vx2 – 5 – 2 x→3

A: Please find attachment for the details solution

Q: x5 dx (x6-8)2 2.

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Q: Solve the given differential equations FODE. Show complete solution y(ln y + x tan x) dx + tan x dy...

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Q: 2 Fend all the asymptoles of the talloasing Coerves ) 32+2xy-7ag+24" 1424+7+4ス+S=0 G) 2y-xy'+y+2x-4y...

A: Solutions 

Q: A Moving to the next question prevents changes to this answer. Question 9 ? The Magntiude of the pro...

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Q: The angles shown are complementary angles. Determine the measures of 41 and 42. X 2 13х+6 What are t...

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Q: The angles shown are supplementary ngles. Determine the measures of 41 and 52. 13x +54 2 1 Vhat are ...

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Q: EXAMPLE 1.13 Determine the particular solution of an ODE subject to given initial condition sinx dy ...

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Q: Question 17 This is a cube. Which of the following is a net of a cube? A C D

A: To find which of the figure is net of cube.

Q: An ellipsoid S has the parametric equation S(0. ) = (cos0 sinø, 2sin0 sinø, 4cos) where 0 and ø are ...

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Q: 2. A particle of unit mass moves so that displacement after t seconds is given by x = 2 cos (t - 2)....

A: Given that a particle of unit mass moves so that displacement after t second is given by            ...

Q: A. Evaluate the following integrals by substitution. 1. Sx(2x2 + 3)®dx

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Q: Determine whether the given function is a solution to the given differential equation. d'e de -e-+ 3...

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Q: 5dx If 1= 2 , what is the value of b? 4 V8x a.) 2 b.) 4 c.) 8 d.) 9

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Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.251. ...

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Q: M- 07. Consider the following first-order ODE: dy _y dt t 0.5t2 from t = 2 to t = 5 with y(2) = 4 (a...

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Q: Lemma 2.56 Let (X,T) be a topological space, (M, d) be a complete metric space and BC(X, M) := {f e ...

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Q: Activity 17. Directions: Test the hypothesis of the following statistical situation: Determining whe...

A: Solution 

Q: a] Let V=M(n) be the set of real matrices n×n. Let P be an invertible matrix of V. The application T...

A: A linear operator T is one-to-one (injective) if and only if the kernel is a singleton set.

Q: 1. A certain computer algorithm used to solve very complicated differential equations uses an iterat...

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Q: 52. 0 6. 54. 0 = 12.9

A: Solution :-

Q: 10. (sin x- 1) dx + S, (cos x + I) dx =? c.)-1 d.) - (1+ ) a.) -89 b.) -91

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Q: 9. Determine the contrapositive of each statement: (a) If Erik is a poet, then he is a singer. (b) O...

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Q: I am thinking of a two-digit number. It is odd. Its tens digit is even. It is prime. The sum of its ...

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Q: Solve the following  complex numbers in their rectangular form

A: Given,             Z3Z2 Where in Z2 = 5e2i and Z3 = 4 cos 40°

Q: Matty Kim, an accountant for Vernitron, earned $11,000 from Janu tax rate of 6.2% for Social Securit...

A: Given, Matty Kim, an accountant for Vernitron, earned $111,000 from January to June. In July, Matty ...

Q: Question 9 What solid is formed when this net is folded? A В D

A: Option D is correct answer 

Q: and e satisfy the system of equations below. 2a + b + c + d + e = 6 a + 2b + c + d + e = 12 a + b + ...

A: Introduction: The graph of a system of two equations in two variables (x and y) is a pair of lines i...

Q: Which of the following shapes have half the volume of a solid cylinder with radius 3 and height 10? ...

A: Given the volume of shape is  HALF the volume of a solid cylinder with radius 3 and hight 10. we hav...

Q: Express the number 0.00045 in scientific notation. 0.00045 = (Use scientific notation. Use the multi...

A: Solution

Q: Write the name of this figure.

A: