Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the following curve on the given interval. on [-2.7] y = 3 cos 2x on An integral that gives the arc length is dx. ·lo. (Type exact answers.)

Q: A rectangle is to be inscribed in a semicircle of radius 7 cm as shown in the figure below.…

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Q: s -2.5, the elasticity of demand for business computers is -.90, and the elasticity of supply for…

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Q: Let f(x) = { 3x² +2, if x < 2 2x - 3, if x ≥ 2 be a piecewise function. Evaluate [₁ f(x)dx= [

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Q: Given the equation -Sa+30-5g²-10y52²-90=210 Show that the given equation represents a sphere, and…

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Q: ¹(²+1) 3 lim (x + 1) sin( 24x

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Q: Consider the graph of r(t) given below. -4- 2 |_y=r(t) 0 2 C) Find r' (2). [Select] 4 D) Find r'…

A: Given that graph of y=rtA.gt=sin3πrtg't=cos3πrt×3πr'tg'1=cos3πr1×3πr'1r'1=slope at…

Q: Let C be the curve y = 12 11 10 9 8 7 6 10 T 15 4 1 + for 0.6 3.7. 3x 25 3 Find the arc length of C…

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Q: y = f(x) = 8x² - 4x + 5 (a) Find the differential of f. dy = (b) Use your result from part (a) to…

A: Follow the procedure given below.

Q: Let a = (-4, 5, -2) and 6=(-1,0, 4). Find à x b.

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Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature today…

A: the graph is given below on x axis day represent  on y axis temperature represent   x axis - scale -…

Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

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Q: If 4x² - y² = 64, show that ds² = 1/2 (15x² (5x² - 16) dx².

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Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

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Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…

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Q: 100 100 suppose that Σ a; = -17 and Σ b; = 13. compute the sum. i=1 i=1 100 Σ ( – 30a; – 76;) i=1

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Q: 4x²5w, if x ≤ -2 5x - 4, if – 2 3 Find w so that f (x) is continuous at x = −2. A. -6 Given: f(x) =…

A: Given that fx=4x2-5w,   if x≤-25x-4 if -2&lt;x≤356x-2, x&gt;3To find :w so that fx is continuous at…

Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

Q: 0. Given the following functions, make a sign sign diagram for • the first and second derivative and…

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Q: Prove the statement using the €, & definition of lim(x² + 2x - 7) = 1. →2

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Q: Evaluate the indefinite integral. x² A -dx 1- x6

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Q: y=x² from (0,0) to (1,1). | Compute the line integral of f(x)=2x over the curve 2009

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Q: Consider the function f(x) = (4x² - 64) ³ on the interval [-7, 6]. Find the absolute extrema for the…

A: Given: f(x)=4x2-6415, -7,6

Q: Question Which of the following is a potential function f for F(x, y, z) = (2x cos(v2). -x²z sin(yz)…

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Q: Given the function of f(x) = 2x² - 10x +9 on the interval [-2, 0], find a point c between -2 and 0…

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Q: [1 Q6: Find A1 where A = 3 2 -1 6 1 0 -2 4

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Q: = Consider the region B under the graph of y x = [5,7], and above the x-axis. 2² +7 x+5 J Estimate…

A: We want to find estimated area using left and right endpoints.

Q: dentity the type and determine the linearity of the given differential equation, and also give its…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Solve the following initial value problem. dr de = -лсоs л0, г(1)=2 (Type an exact answer, using as…

A: We have to find the initial value problem.

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 r=4.5 Option 4 O r=3 r²…

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Q: 7. Show that the equation f(x, y) = sin(x + y) + cos(x - y) satisfy the wave equation 0²1 a³f dx²…

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Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

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Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnan. n=0 Find the…

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Q: Solve the initial-value problem. dN_ _t+5 dt t -, for t21 with N(1)=5 The solution to the…

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Q: At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg,…

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Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

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Q: use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and…

A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

Q: Question 4 > 18/17-16-15-14-13-12-11 -18-9-8 -6 -5 -4 1-3 -2 -/ f(x) = 5 4 3 2 ma -2 in your The…

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Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

Q: If 1 1. f(x)dx = n(x) - tan(x) - 4² + x² + 6x + 0 4e C 3 then find f(x)

A: We can find f(x) as below, by finding the derivative.

Q: Emptying a tank A vertical right-circular cylindrical tank mea sures 30 ft high and 20 ft in…

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Q: The two vectors a = (-1,2,-4) and b = (2, -4,-8), are not parallel but are orthogonal. Select one: O…

A: Given vectors:- a=-1,2,-4 b=2,-4,-8

Q: (c) Given a cubic function i) Find the critical point(s). ENTIA ii) Hence, determine the maximum and…

A: Let's solve.

Q: Use the graph of f(x)= ex below to complete part a and b below. a. Find lim ex. X-18 lim e 8118 b.…

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Q: 5. Find L¹ s-1 s³ -10s² +24s

A: To find L-1s-1s3-10s2+24s.

Q: Let f(x) = { 2x-3. 3x²+2, if x < 3 if x ≥ 3 be a piecewise function. Evaluate Sof 0 f(x)dx=

A: We can find the integration of the piecewise function as below.

Q: Graph all vertical and horizontal asymptotes of the rational function. 4x-11 2x+9

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Q: Perform the row operation 3R2 + R₁R₁ on the matrix below. 3 2 4-6-8 1 1-3 2 (X3 (888) 4-6-8 3R2 + R₁…

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Q: Compute the given improper integral. Enter the exact value of the answer. 1 /x² 400 29 So - dx =

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Q: a) Evaluate [₁(x-3) (x-3)√√x+3dx

A: I have stated the used formula in the solution