Which of the following are real vector spaces? The set of natural numbers N P6 (x) the set of all polynomials over R of degree greater than or equal to 6 The set of rational numbers Q R6

Q: 4) Define the variables a,b and c as: a=5, b=-5, and c=2a+b Evaluate: ба a) ab+ ac - b. b) abla

A: Some of the properties of indices and surds  an= a·a·a......n times a0=1 abac=ab-c

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Q: Determine the negation of the following quantified statement: Vy (3r (x>y) A Vz (ys :). 4.

A: Dear bartleby student ,According to bartleby rule Answer the first question, unless the student has ...

Q: Solve the given differential equation by separation of variables. dy ху + 4у — х— 4 dx ху — 7у + х -...

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Q: 1. What is the derivative of f(x) x2 - 8x + 12 when you illustrate using tangent? dy/dx=2x+8 dy/dx=2...

A: Derivative of the function

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2....

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Q: 2. f(t) = 38(t) – 4u(t – 2) + 58(t – 5) + 2u(t – 3) %3D |

A: The given function is                                 f(t)=3δ(t)-4u(t-2)+5δ(t-5)+2u(t-3) To find the...

Q: j) Draw the graph of y -3(x+5)² - 4. Label the x and y intercepts (with actual values) on the graph.

A: To draw the graph of the below equation and to label x and y-intercepts. y=−3x+52−4

Q: Find the sin and cosine of 210° using the right triangles

A: To find the sin and cos of 210° using the right triangles.

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Q: 1. Find the stationary points and determine if each stationary point gives a local maximum or local ...

A: Definition(Stationary Point): A stationary point of any function is the point at which the derivativ...

Q: Either 7 · 10700 + 4 or 7 · 10700 +1 is not a perfect square.

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Q: H.W: bo : Separable Method of Differential 6quat Find the solution of the following differential equ...

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

Q: Among the proposed formulas, the IW axiom is Choose one or more answers: O a. (-(F → G)→(¬G →¬(F →G)...

A: We will use the basics of mathematical logic to answer this question.

Q: Find the element in row 1, column 3 in the matrix W, where W= (BT+A")T, [13 A = [31 45 2 31 21 19 8....

A: A matrix is a mathematical object in which numbers are arranged in rows and columns. If a matrix con...

Q: Xp X,2s>

A: We have to evaluate the definite integral ∫csc6xdx or antiderivative of  csc6x. As per the definitio...

Q: Q2. The differential equation + p(x)y+ q(x)y² = r(x) is known as Riccati's equation. If one dy dx pa...

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Q: Compute the combined moment of the two 55-lb forces about (a) point O and (b) point A. The moment is...

A: We can solve using formula of M0 and MA  

Q: plane with the equation + + = 1 (a, b, c > 0) together with the positive coordinate planes forms a t...

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Q: Solve the given differential equation by separation of variables. dy ху + 4у — х— 4 dx ху — 7у + х -...

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Q: Which of the following statements is TRUE regarding the function f(x) = log2 (x + 4) + 3? There is a...

A: Horizontal asymptote  of a function is a line y=k that tells the behavior of the function at the edg...

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A: By Method of lagranges multiplier . To maximize f(x,y,z) subject to g(x,y,z)=k  Solve system of equa...

Q: Perform the indicated operations. 1 1 x+a X-a 1 1 x +a X- a

A: The algebraic expression in the form pq, where p, q are the algebraic functions of the variables and...

Q: 6.5 Solve the following problem du (z > 0, t>0), %3D u(0,t) = 0 (t > 0), u(z,0) = f(z) (z > 0).

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Q: Find the moment of inertia of the area bounded by the curve y^2 = 4x, the line y = 4, the y-axis on ...

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Q: Find the roots of the following equation Using an initial guess of xo =1.5? x6 – x – 1 = 0

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Q: 7. Determine the inverse Laplace transform of the following functions. 1 1 b. s2 + 4 a. s+2 1 1 d. c...

A: Reframe the given function. s-5s2+4s+5=s+2s+22+12-7s+22+12

Q: Determining Whether a Set Is a Basis In Exercises 47–50, determine whether S is a basis for P3. 48. ...

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Q: 3. Old McDonald has a farm with 30 chickens. The chickens comprise 60% of his farm, and the rest of ...

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Q: Given, f(x, y, z) = xln(x?y)+ x*y – e a2. Compute fa, f, fry, fayz-

A: If f(x,y,z) is a multivariable function, then the variables x,y, and z are called the input of the f...

Q: Grace's garden is shown below.  She needs to buy bags of mulch to cover the garden.  What is the mea...

A: Measurement needed=Area of Triangle+Area of rectangle+area ofsemicircle=12×18×18+18×8+3.14×9×9=162+1...

Q: Determine the differential equation of the family of lines which passes through the origin. dx a. (y...

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Q: H If drciso , then find the heal part and the imuginary part, i r=l; n=3

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Q: Which system of inequalities is represented by the graph? [y-x B. C. D.

A: The two bold lines drawn in the graph is represented by the following equations.

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Q: Solve the following differential equations: dy +x dx

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Q: he Mediterrane. ow these stingra

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Q: Find the reflection of the straight Line X+3y =1 With a circle x+y"-2X-49+1 \

A: The standard form of a circle is defined as follows: x2+y2+2gx+2fy+c=0 The center is given as -g,-f ...

Q: I. Find I = ždz where C is the line segment from 3 +i to 3 - 2i.

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Q: Consider the argument below: "If you complete your computer training, then you can be eligible to wo...

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Q: QUESTION 18 Consider the following circuit: AND NOT AND Q OR R (a) Find the output from the boolean ...

A: Given circuit is Output , passing from different gates will be

Q: 5) Determine whether the following integral is convergent or divergent: dx 9 + x² 0.

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Q: The model represents an equation. O- 1 = -1 What value of x makes the equation true? A -3 D. 13 3, C...

A: Given  here we have given the model represents the equation we have to find the value of x that mak...

Q: T= tanh (x+ 2y+ 3Z) %3D finds O Tyy @ Tyx 3 Txy Tz Tzz Tzx @ Tzy

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Q: Find the least-squares error E for the least-squares line, y = 1.8x +3, fit to the four points in th...

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Q: A pair of dice is rolled. let X be the sum of the number of dots onthe top faces. The table below sh...

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Q: 5 < 6 and 0 is counting number

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Q: In the figure below, Y W and XZ are diameters of circle A. What is the arc measure of major arc Y W ...

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Q: Consider the vectors [2, 1,0,0], [3, 1,0,0], [0,0,0, 1] in R'. Find a vector v so that v, [2, 1,0, 0...

A: We know four vectors v1 , v2 , v3 and v4 in ℝ4  will be linearly independent iff , av1→ + bv2→ + cv3...