The form of decomposing a single irreducible quadratic factor in agiven intecral is /(2ax +b)A+B ax2+ bx+c dx. A True B False

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A: The vertex form of a quadratic function whose graph is a parabola is: fx=ax-h2+k The vertex of the…

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A: Given- Let fx = 7x be a function defined on 0, 2.  To find-  Find the simplified form of the…

Q: e*dx Evaluate: (e3* + 1) /[e3* + 1) ² – 4 3x + 1 + C 2 A sec -1 B) None 3x +1 -1 sec +C 2 (D c-1 sec…

A: We have to evaluate the integral.

Q: 6000 2. The function T(x)= 23.1-In represents the amount of time, in in years, for an initial…

A: We will use desmos to draw the graph as it will be more accurate . also with it draw line for 9…

Q: 2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x? – y² + 6y if they open…

A: Given: A cafe estimates a monthly profit, P(x, y)=27-x2-y2+6y and the region D=x, y∈ℝ2 : x2≤y≤4. To…

Q: 3. We learned in class that for a given A, the f(r) that minimizes the cost function Σω (1i –…

A: The following techniques satisfy the properties of a natural cubic spline.…

Q: Nathan invested $3,500 in an account paying an interest rate of 3.5% compounded quarterly. Assuming…

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Q: Assume that f is a twice de ferent; a ble function and also that its second partial derivatives are…

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Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

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Q: () - (" ;')-(,".) Show that: n+1

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Q: and proof of an existence theorem that can be proved by “nonconstructive proof” and provide the…

A: The proof is the proof of Intermediate value theorem.

Q: y' + y = t sin t, y(0) = 0 Y(t) y(t) =

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Q: the trigonometric Fourier series of a periodic signal x(f) de by x(t) = t2, –n <t<a and x(t + 27) =…

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Q: Question 7: The dimensions of a rectangle are represented by rational expressions, as shown in the…

A: Here the given rectangle is                                          Here the height is 6x+2 and…

Q: Let x +1 be a real number. Prove that for all n E N, x" – 1 - + x" +...+ x2 + x + 1. x – 1

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Q: Determine whether the function is odd, even or neither. f(x)=xcosx+1

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Q: Given the region R inside the circle x^2+y^2=4 and above y= sqrt(3) A) Establish that d A exists B)…

A: Double integral over the region.

Q: -1 10 1. f(x) dr = 2. f(x) dx = 3. f(x) dx = 4. f(x) dx =

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Q: FInd the first 4 non zero terms of the MacLaurin Series representation for the function f(x)=…

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Q: le one leaf of the three-leaved rose * = cos30

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: Find an orthogonal basis for the column space of the matrix to the right. - 1 5 5 -9- 4 2 1 -5 -2 An…

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Q: 1 Find two equations (using cosine and sine) for the following: A mass on the end of a spring is at…

A: (a) Given that, The mass is hanging 80 cm from the ground, and it pulled down 60 cm and released at…

Q: Find g(x, z) so that F(x, y,z) = (8x cos y sin? z + 2e2xz)î – (4x² sin y sin? z)j+ (g(x, z) cos y +…

A: Given that    Fx,y,z=8x cosy sin2z+2e2xz i^-4x2 siny sin2z j^+gx,zcosy+2e2xz k^ Now we have to find…

Q: Question 3 Solve the following D.E sin x dy +2y = tan 3 x dx 1 Add file

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Q: Find a 3 x 3 matrix A such that Ax * in R.

A: Introduction: Matrix multiplication, often known as matrices multiplication, is a linear algebra…

Q: sech (Insinx) cotxdx=2tan-1(sinx) +C A True В False

A: Integral evaluation , by using substitution method

Q: A It is 2 P.M. and Phong is driving 45 miles per hour to get to his sister's college graduation. The…

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Q: Problem 2 – Use the Laplace Definition to find L {f(t)} f(t) = t5 а. b. f(t) = 3 sin 2t + 4 cos 3t

A: Definition: The Laplace transform of a function ft is denoted and defined by Lft=∫0∞e-stftdt We…

Q: 3) Prove that there do not exist two rational numbers whose sum is irrational.

A: To prove: There do not exist any two rational numbers such that their sum is irrational.

Q: The Shatzkins are adding a sunroom to their house. They want the sunroom to have area 14.00 m2 . One…

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Q: 2. Ф(24) Answer:

A: We want to find ϕ(24)

Q: Cubic functions Consider the cubic function f(x) = a * x ^ 3 + b * x ^ 2 + cx + d . a. Show that f…

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Q: ) Solve the equation and find the particular solution for the displacement (x)t mx''(t) + kx(t) =…

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Q: graph of the polar equation “ r=1+cos 0"

A: To plot the graph of the below polar equation. r=1+cosθ

Q: Ten thousand pesos is deposited annually for 10 years with an annual interest rate of 3.2%, how much…

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Q: Let S denote the following surface: S = {(x, y,z) E R' | x =y-z, 0<y < 1, 0 < z < 1}. (a) Compute…

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Q: ured below. O Find the points (x, y) on this ellipse where the largest and sn оccur. ) Find the…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: Find the general solution to 3 1 0 0 3 1X. -X= dt 0 2

A: We first find eigen values, then corresponding eigen vector to solve the given system as in next…

Q: 1-Determine if W is a subspace of Mnn CEMn,W = {A€Mnn: CA'C1= A} %3D

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Q: A rack climber starts at an e ation 630 feet abowe sea level and descends to a point 180 feet lower…

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Q: Which of the following points is a solution to the linear inequality 2x – 3y >8; A (2, - 2) B (-2,3)…

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Q: a. Inside one leaf of the three-leaved rose cos30

A: Introduction: A function that is expressed in the form of r=fθ, it is referred to as a polar curve.…

Q: 3 (-2, 2) -4 -3 1 2 3 4 5 x -2+ -3 -4 If h(x) = (f°g)(x), find h'(1) 4. 1.

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Q: Prove that there are no positive integers a and b such that a + b³ = 250.

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Q: Evaluate  R   0.082i 1 − (1 + 0.082i)−n    when  R = 120,000,   i = 0.07,  and  n = 360.  (Round…

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Q: 1) Find the simplified form of the Riemann sum by dividi interval [0, 2] into n equal subintervals.…

A: In the given question, the concept of Riemann Sum is applied. Riemann Sum To estimate ∫abfxdx,…

Q: 2. The points (-20,10).(0.20), and (40,–75) lie on the graph y = f (x). Determine three points that…

A: Introduction: Graph transformation is the process of modifying an existing graph or graphed equation…

Q: 8. (Liouville's theorem, Cauchy estimates and the maximum modulus principle) (a) Suppose that f is…

A: (a) If f is the entire function and that for some positive integer k and some constants C, r&gt;0 it…

Q: Write x as the sum of two vectors, one in Span (u,,u2.u3} and one in Span fu,}. Assume that {u, .ug}…

A: To find- Write x as the sum of two vectors, one in Span u1, u2, u3, and one in Span u4. Assume that…

Q: Suppose that v1, V2, . . . , Vn are linearly independent column vectors in F“:* and let e1, e2,...,…

A: Given that v1,v2,…,vn are linearly independent column vectors in Fn,1 and e1,e2,…,en be the…