Q1- Determine the coordinates of the centroid of the area.: (1, 1) y= x,

Q: Solve for r figh) (x)) end

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Q: (r' x r") r" Ir' x r"|2 Find the curvature and torsion (1 = | of the curve x = 3 sinh(t), y = 3…

A: Given that x=3 sinht, y=3 cosht, z=3t So r→t=x=3 sinht+3 cosht+3t

Q: Indicate all integer solutions, congruent to 7, of the equation 2" = y. What if we replace 7 and 2…

A: Solution :       2x = y (mod 7)     Now if x = 0,then 20 = 1 = y (mod 7)     So, (0,1) is one…

Q: Which derivative rule(s) was (were) used to find the following derivative? Select ALL that apply.…

A: Given function is fx=3x2+5x4x3. We have to differentiate the given function. Used formula:-…

Q: Problem 3 Let R be the relation on the set of ordered pairs of positive integers such that ((a, b),…

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Q: Howin If Z=RCxy) and u=xayg V=x-y show that 3

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Q: 5x + 1 If y = then y' will be %3D 2x-1 – In 7' 5(2x** – In 7) – (Sx + 1)+) A. (2x- – In 7)2 5(2x-' –…

A: Given y = 5x + 12x-1 - ln 7

Q: Evaluate the integral below by changing to spherical coordinates. 81 - y V 81 – x2 - y2 (x²z + y?z +…

A: We have to solve the given intregal

Q: – 4y = x4

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Q: Show that every ring R is isomorphic to a subring of R[x]

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Q: Let P(R) be the space of polynomials of degree at most 2 and p(x), q(x) E P2(R) where p(a)-2, q(r) =…

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Q: Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

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Q: Prove that is a function f is harmonic =0, then - dx -Ldy =0.

A: Given function f is harmonic such that ∂2f∂x2+∂2f∂y2=0

Q: et A = {a}

A: Given,        A = a

Q: the numbers being multiplied. the product. shows the multiplication expression ty)

A: consider    x×a=36y×a=12z×a=54x×b=30y×b=10z×b=45 clearly we can say b is the 5 and a is 6

Q: Find the sum of the series (-1)*n2k 42k (2k)! k=0

A: We have to find the sum of the given series

Q: (c) Consider the double integral || xy dA where D is bounded by the x-axis and the upper half…

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Q: Use the formula = to find the torsion of the following curve at a general point. |r'(t) × r"(t)|2…

A: To find the torsion of the following curve  r(t) at general point and at t=0 .

Q: Let S = {" in M2x2; a + 2d = 0 and b – 2c = 0} with the standard operations in M2x2. Which of the…

A: Given, S=abcd in M2x2:a+2d=0 and b-2c=0 Here , 0000∈S as 0+2(0)=0 and 0-2(0)=0 Now to check is it a…

Q: Sketch a graph of the polar equation. r= sin(40) T/2 オ/2 1.0 1.0 -1.0 0.5 1.0 -1.0 -0.5 0.5 1.0 -0.7…

A: Given that r=sin(4θ) Here my objective to sketch a graph of given polar function.

Q: A lease valued at $22,000 requires payments of $1,629 at the beginning of every three months. If…

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Q: When you stand in shallow water and look at an object below the surface of the water, the object…

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Q: and C is the

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Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: 3х3 real inant of

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Q: Describe in words the region of R3 represented by the equation. x² + y2 + z² = 36 The equation x2 +…

A: Given equation is x2+y2+z2=36. We have o describe in words the region of R3 represented by the…

Q: The graph tipndormation of the grspn of the ధ్యాయండన వీ tunction. by Sha's left/Right How many unts?…

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Q: Determine f(5) if f is a continuous function that satisfies t 4x+sin(rz) f(t)dt = x for all z. %3D

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Q: Calculate the missing value in the truth table below: and not 0 1 0     1 True False Group of…

A: consider the table  and not 0 1 0     1 true False

Q: Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

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Q: The volume of the solid enclosed above by p = 5 and below by ø = x16 is Select one or more: O a. (2…

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Q: how many kids in a school

A: In this question, the concept of percentage is applied. Percentage When computing the percentage of…

Q: 1. Consider eª = for all x E R. n! n=0 a. Determine the power series representation of f(x) = xe'…

A: Introduction: A Maclaurin series is a special case of Taylor in which the function is expanded about…

Q: -2 4 For the matrix B = what is the value of |B|? 3 7 3. A. 8 В. — 2 С. 4 D. -5 Select one: O D O C…

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Q: Sketch the triangle with vertices O, P = (7, 0, 7) and Q = (3,0, 3) and compute its area using…

A: To find the area of the triangle using cross product method when it's vertices are given .

Q: For the matrix A below, if g(X) = X -4. What are the elements of g(A). = ) A = 4. e11 Choose. + e21…

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Q: (r' x r") · r" Ir' x p"|2 Find the curvature and torsion of the curve x = 3 sinh(t), y = 3 cosh(t),…

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Q: Find the inverse Laplace transform of 6e-1s + le-3s + 3e-5s + 2e-8s F(s) = (Use step(t-c) for u.(t)…

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Q: 1. For the given quadratic function f (x) = 2x² + 8x + 7,find a. Vertex 10 b. Vertex Form с. Ахis d.…

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Q: Which quadratic function has the largest maximum? (1) h(x)= (3- x)(2+x) (3) k(x) =-5x² -12.x +4 (2)…

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Q: 1. What are the eventually fixed points for A(x) = /x/? %3D

A: 1) what are the eventually fixed points for Ax=x solution it is known that fixed point of a function…

Q: 1. Consider the separable differential equation y' = x²y³. a. Plot the slope field of this…

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Q: Question* The Laplace transform of f(t) = et-2 cos(2t-4) u(t- 2)-e-(cos(3t) - 1)

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Q: Find term 4, term 6 and term 8 given by the formula: n2 +n+6 a n ;n2 1. n +7 Determine whether the…

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Q: 7 c. Color all the multiples of $ (tip: use divisibility rules): ule multires OI5? 4 1s YO coled-in…

A: Observe the numbers in the given pyramid.

Q: Problem 3:* Determine whether or not matrix C can be diagonalized, where -9 4 0 C := -19 7 1 -28 8 3…

A: Determinant of matrix is nonzero

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

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Q: 9. Use the method of undetermined coefficients to solve the given system 4t +9e X' = 4 %3D

A: Given that X'=1-441X+4t+9e6t-t+e6t            (1) let                                 A=1-441 The…

Q: Question 1 f(x) = e²* – x,xo = 0, x1 = 1.25 and x2 = 1.6. %3! %3D a. Construct the interpolating…

A: (a) We can use Lagrange interpolating polynomial method to find P2(x) using given nodes.

Q: Midtown Antiques collects 5% sales tax on all sales. If total sales including tax are $1,518.01,…

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