1. Determine a possible equation for each polynomial function. a) f(x)= d) f (x) = c) f(x) = f) f (x) =

Q: Consider the following example: if g: [a, b] → R is continuous and F is a function defined as F(x) =…

A: Please comment if you need any clarification. If you find my answer is useful please put thumbs up.…

Q: The triangle ABC is BC 6.3 cm and AC 7.5 cm. From a point D on AB, a transversal is drawn parallel…

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Q: 9. After looking at this list, you are concerned that you may not be able to afford the food that…

A: The formula to calculate Price per Protein (g) is given as: Price per Protein (g)=[Servings per…

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Q: tRANSCRIBE THE FOLLOWING SOLUTION PLEAS WRITE IN DIGITAL FORMAT DIGITAL FORMAT!

A: Here we find limit of given function

Q: = i) x(t) = j) Στο 1-t, 0<t<1 otherwise 0, e-it-2n|

A: Given that x(t)=1-t2 , 0&lt;t&lt;10 , otherwiseFor 0&lt;t&lt;1X(ω)=∫01(1-t2) e-jωt dt…

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Q: QUESTION 3 Find the number of positive integer solutions to a+b+c+d<100

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Q: -[ 8 3 -15 5 2 Find enough vectors to form a basis of the eigenspace of A corresponding to X₁. -5 -9…

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Q: Considering a cube of side and a function vector B=√xi-y + zk calculate b)calculate VXB

A: Given B=xi-y1/5j+zk Here      Bx=xBy=-y1/5Bz=z We know that ∇×B =…

Q: Determine whether (x-y)|(x-y"), Vn Z+ and x, y € Z, x #y.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 7. Find the equation of the exponential function f(x). (No Decimals) Answer: 4 -3 -2 -1 5+ ++ 3 2-…

A: The general form of an exponential function is y=abx, where x,yare variables and a,bare constants.…

Q: lan Stewart included the following as among the 17 equations that changed the world, EXCEPT Golden…

A: 17 equations that changed the world by Ian Stewart are 1. Pythagoras's Theorem 2. Logarithms 3.…

Q: One eigenvalue of the matrix A 3 -8-5 - 20 0 5 -1 -2 0 0 4 -2 -2 -8 -2 -9 is X₁ = 5. Find enough…

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Q: Solve y (kx √√3) dx + (√3 − kx) dy O a. 2kx + 4√/31n|kx √3- O b. 2kx + 4√3ln|kx c. 2kx + 4√3 ln | kx…

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Q: 10 times as many as__________hundreds is 60 hundreds or _________thousands

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Q: What is the average rate of change between the point (-3,0) and (2,5)? (-3,0) a) 4 =1 Ax 12 10 0…

A: Given graph has two points -3, 0; 2, 5 Average rate of change ∆f∆x=f2-f1x2-x1

Q: For this process we'll use the function f(x) = -x² + 6x - 7. You might find the following links…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: A Rational Function with a Slant Asymptote In Exer 49-56, sketch the graph of the rational function…

A: f(x)=2x2+1x To draw it, lets first find, intercepts and asymptotes.

Q: 5. S (2x+1) dx (x+4)6(x-3)6

A: Sol:- ∫2x+1x+46x-36dxTake the partial fraction of…

Q: considering the scalar function (x, y, z) = 9x³y - 2x√√z z calculate a)what is the gradient ofo b)…

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Q: suppose we have f: A->B a one to one and onto function so that function has an inverse, suppose we…

A: Function which is one to one and onto

Q: solve the following one-dimensional second-order partial differential equation. which is known as…

A: Given,          a2∂2u∂x2=∂2u∂t2, 0&lt;x&lt;L, t&gt;0…

Q: (2) Give a combinatorial proof of the following: G)-00-0000-00' (i) justify your answer with…

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Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

A: Given: The rate of water flow R(t) can be estimated by, Wt=lnt2+7 We have to find the average rate…

Q: Karin has 2,000dollars in notes. The banknotes are in denominations of 20dollar and 100dollar. Karin…

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Q: 6. A. (a) Let X be a set. Show that | P(X) = 21x1₁ (b) Show that a necessary and sufficient…

A: a. Let X be a set.  If X=0 then there is only one subset of the set, that is ∅. So, in this case…

Q: Which of the following statements are equivalent? Proof your result. P→ (QR) ! (P→Q) ^ (P→ R) (PAQ)…

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Q: 2. Using Gauss-Seidel, compute a solution to the problem Ax=b where A is an nxm matrix of the form A…

A: Given: The matrix is A=2-100⋯-1-12-10⋯00-12-1⋯0⋱⋱⋱0⋯0-12-1-10⋯0-12. To find: The solution of Ax=b…

Q: kt+1 Question 4: Consider the function (kt+1) = K+¹, where st= , where St = s(rt+1) = s(r(kt+1)). St…

A: Given- Consider the function Ωkt+1 ≡ kt+1st, where st = srt+1 = srkt+1.  To find- Differentiate the…

Q: Solve using Fourier analysis U=U + 4 cos(2x), u(0,t) = 0, u(r, t) = 0, u(x, 0) = sin(3x) + cos(2x).…

A: Using separation of variables and Fourier series expansion.

Q: Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis…

A: Given Data: H^=hω03i0-i30002 ,  B^=b07i1-i-i71+i1+i1-i6,D^ =002α02α 02α0-3α

Q: Which of these graphs depicts when the blue function is less than the red function for the interval…

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Q: Use Stokes' Theorem to evaluate the integral: [cur S curl F. dS F(x,y,z)=ze' i+xcos (y) j+xzsin (y)…

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Q: Determine the average rate of change of f(x)=2x+1 on the interval 4<x<5. a) f Ax b) Af Ax = 2 O d) 4…

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Q: Problem V The map X(u, v) = (ucos(v), usin(v), v), (u, v) € R² is a) Regular for any (u, v) E R². b)…

A: It is given that, the map Xu, v = ucos v, usin v, v for  u, v ∈ ℝ2 Then,  the map X is ; a) Regular…

Q: 1. (a) Given two complex numbers z₁ = 1-√3j and 22 = 1+j, do the following: (i) Plot zi and Z2 in a…

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Q: A. Orthogonal projection onto the y-axis in R². Consider the linear transformation that projects all…

A: Given: Orthogonal projection onto the y-axis in ℝ2 given by the linear transformation T which maps…

Q: 2. Consider the following transformed function y=-2 Sin [2(x-45°)] + 1 a) Graph the five key points…

A: Given: 2. y=-2sin2x-45°+1 To find: (a) Graph the five key points of parent function on the provided…

Q: find the complex Fourier expansion of the periodic function shown below - < x < ² COS X 1 = = -√²/₁…

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Q: Find the Laplace Transform using the Laplace Transform Pairs and the Laplace of derivatives: 1.…

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Q: (a) If p is a prime number and a € Z such that pla, determine whether pl(a + 1) (b) Show that the…

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Q: prove V injective if x1 ‡xn → v(x1) ‡ v(xn)

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Q: Consider the two functions given below: Function 1: f(x) -8x² + 50x + −28 Function II: = -50 -40 -30…

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Q: Use Laplace transforms to solve the differential equation: d²y d1² =y=t where y(0) = 1, and y'(0) =…

A: We will use laplace transformation table to find laplace transformation of given differential…

Q: D²y(t) + 12Dy(t) + 36y(t) = 1t³ y (0) = 1; Dy(0) = 0

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Q: Determine the solution of the following differential equation: dy dx 11 x² + y² xy given that y(1) =…

A: Homogeneous Differential Equation: The first order differential equation dydx=f(x,y) is called…

Q: Find the domain and range of the given functions below. 1. f(x) = 4x² 2. f(x) = -√√x +3 3. f(x)=x²-5

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Set up, in either Cartesia over the region within the cylinder x² + y² evaluate the integral. 2م

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Q: Solve for the 2 x 2 matrix X: X + 2 23 5 3 X.

A: Introduction: A-1 stands for Inverse of Matrix for matrix A. There is a straightforward formula for…