1. In the diagram below ARTS AUTS. Give a rigid motion that maps ARTS onto AUTS. Explain how the rigid motion does the mapping. A R T S

Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: The system of first order differential equations: has solution: y₁ (t) Y₂(t) = = [y/₁ 13/1/2 = = -23…

A: NOTE: Refresh your page if you can't see any equations. . the given system is  write the matrix A

Q: 4 3 2 1 y 1 y = f(x) 2 3 4 -X

A:

Q: Find the midpoint of the line segment joining the points P1 and P2;P1 = ( - 1, 4); P2 = (8, 0)

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Q: d the absolute minimum and maximum value (s) of f(x) on the given interval. = 2x - 3x² [-1, 3]

A: We will find the required.

Q: Find a function whose graph has the asymptotes x = 4, x=8, and y = 2. f(x) = f(x) = f(x) = f(x) =…

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Q: 1. How many edges does the cycle graph C5 have?

A: In cycle graph, the number of edges is equal to the number of vertices.

Q: 2 f²x 1 2 x² + 1 dx

A: The given integral is x2+1, limit from 1 to 2.

Q: Find the derivative of f'(o)- f(z)-9e³e+e-²¹

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Q: Compute the Riemann sum $4,3 to estimate the double integral of f(x, y) = 8xy over R = [1,3] × [1,…

A: Given that , fx,y=8xy and R=1,3×1,2.5 Calculate the Riemann sum S4,3=?

Q: 2. (6371 #3 p. 227) ƒ(5) — ƒ(0) f'(c) = 5-0 x +4 Show that there is no value of c with 0 < c < 5…

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Q: Determine whether the following series converges. 80 Σ (-1)* +1. k = 1 k 17k+1 B. The series…

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Q: Consider the matrix A = 2 7 10 2 1 8-5 14 ao 1 do as (a) Reduce A to rref and find its rank. (b)…

A: As per the instruction, we will be answering the first question. If you need answers to others then…

Q: Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c)…

A: The given function is; f(x)=9+x+x2

Q: Solve the following initial value problem 9900-42 = و ای

A: Given query is to solve the differential equation.

Q: Consider the function f(x) = 5 - 7x², -3 ≤ x ≤ 2. The absolute maximum value is and this occurs at x…

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Q: • √ x³² √/ x² + 28 dx = √ u ² / ² ( ²1 du ) = = = [u²/² du. Now, if u = x³ + 28, then This evaluates…

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Q: -5 -4 -3 -2 -1 3 2 2 -1 -2 -3 1 2 3 4 a The function graphed above is: Increasing on the interval(s)…

A: Here we check check the increasing and decreasing property of graphed function.

Q: write a formula for ƒ  g  h.7. ƒ(x) = x + 1, g(x) = 3x, h(x) = 4 - x8. ƒ(x) = 3x + 4, g(x) = 2x -…

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Q: Determine whether the series ∞ n=0 D. 1 n Select the correct choice below and, if necessary, fill in…

A: solve by series sum

Q: Question is completly wrong. If you read the directions its asking for an interval

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Q: Find all values of X that will satisfy the equation within the interval 0 < x < 2π: cos X cot X…

A: Given: So,…

Q: Can someone help me please

A: We will find the required.

Q: Complete the table by finding u and du. [f(g(x))g'(x) dx 1./ (8. 2₁ / 1² √ ₁²³ + 1dx 1./ (8x² + 1)²…

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Q: 26 85 k=1 087 (k+5)!

A:

Q: 4 So 1 √x (1+√√x) Α) B D In 3 In 5 2 ln 3 da is divergent

A: To find the integration.

Q: Determine whether the following series converges. (−1)k+1 k⁹ ∞ k = 1 Let a > 0 represent the…

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Q: If h(x) = -5x³ + 8x² - 7x-9, determine whether the graph of h(x) is concave up or down when x = 3.…

A: Given function:- hx=-5x3+8x2-7x-9 Function concave up when h''x&gt;0function concave down when…

Q: Find the minimum and maximum of A over a particular interval [0 X = [²₁ The graph of y = f (x) is…

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Q: Translate the following sentence into a mathematicalequation: The total revenue R from selling x hot…

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Q: In the derivative, transform into linear equation y = mx + b (the form)

A: Given :  y = mx + b (the form)   To find : In the derivative, transform into linear equation

Q: Verify that the equation is an identity. Show that cotx csc.x :– tanx sinx

A: Given :

Q: y-|z²+3x - 11.

A: Given :                      y=x2+3x-1 To find : the derivative of y i.e. y' = ?

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A: Let, the number of Ancient History section=x,the number of Medieval History section=y,the number of…

Q: Write the expression in terms of first powers of cosine. Do not use decimals in your answer. Make…

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Q: 1. Find for the following by implicit differentiation: dy dx 18x9-5 cot y = y² - 18x

A: Given:  1) 18x9-5cot y=y9-18x Implicit differentiation:    Differentiating on both sides…

Q: If 1200 cm² of material is available to make a box wit a square base and an open top, find the…

A: According to question,Given data,Surface area = 1200 cm2

Q: log(x)→−∞ as x→−∞x→−∞. true or false

A: Consider the statement  log(x)→−∞ as x→−∞

Q: Evaluate the line integral SF. dr, where F(x, y, z) = −2xi + yj – 2zk and C is given by the vector…

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Q: For each of the following vector fields F, decide whether it is conservative or not by computing the…

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Q: 2. Find lim x-π/4 3. Find lim 4. 5. 8x sin(h - 3) h-3 h2+2h - 15 Find lim tan(x)-2лtan(x) 4x-μ…

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Q: 14) ^2yy' (t) = 12t², y(0)=5

A:

Q: f (3 — e3x)3dx

A: The given integral is: I=∫3-e3x3dx   As we know the Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And use the…

Q: Evaluate the indefinite integral: (tan) da 1+² S =+c

A: Given:       ∫tan-1x41+x2dx      =∫arctan4x1+x2dx substitute u=arctan x→dudx=11+x2…

Q: 75 dy = 4e 2x = 4₁² 4₁ y(0) = In 7 dx х-у

A:

Q: The graph of the quadratic function h(x)=x2−3x+2h(x)=x2−3x+2 is a parabola that opens upwards.…

A: We have y = h(x)= x2-3x+2

Q: a) For each of the following improper integrals, evaluate the integral or show that the integral…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use a definite integral to find the area under the curve between the given x-values. 1 from x = 1 to…

A: By using a definite integral to find the area under the curve between the given x‐values.fx=1x from…

Q: Evaluate the line integral ſy dx + x dy where C' is the parameterized path x = t², y = t³,3 ≤ t≤7.…

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Q: Several terms of a sequence {an} n=1 80 are given. a. Find the next two terms of the sequence. b.…

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