A - 3 In 1x³ 3x²1+C BIn 1x³ 3x²1+ C x²–2x x3 3x² C dx In 1x³ 3x²1+C In 1x³ 3x²1+ C -

Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

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Q: Consider the function f(x)=√1-x+6 for the d 1 Find f(x), where f¹ is the inverse off. Also state the…

A: We have to find solutions

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: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 Option 4 O r=3 Option 2…

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Q: Translate into English:  a. ∀x(E(x) ⇾ E(x + 2)).  b. ∀x∃y(sin(x) =y).  c. ∀y∃x(sin(x) = y).  d.…

A: Solution : Given that to translate into English

Q: Determine the area of the shaded region. 70. 15 4+ 3+ 2- 1 이 12x - x2 2 becodelating onesyde, −12 +…

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Q: Which proper integral would you use to help determine the convergence/ divergence of the series and…

A: Integral test of convergence:Consider an integer N and a function defined on the unbounded interval…

Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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Q: Find the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy…

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Q: an = arn+1 an arn-1 Option 4 The general term of geometric progression is an=arn a" = arn-1 Option 3

A: Topic = Series

Q: The measure of the angle between the three- dimensional vectors u = (0, -1, -3) and V v = (2, 3, -1)…

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Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x+6/(x^2+6)^1/2 Find…

A: See this solution in below

Q: Let à = and b= . Find k so that a and b will be orthogonal (form a 90 degree angle). k=

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Q: 5. Find L¹ s-1 s³ -10s² +24s

A: To find L-1s-1s3-10s2+24s.

Q: The Taylor series for f(x) = eª at a = -4 is Σ ²n(x + 4)" n n=0 Find the first few coefficients. со…

A: The solution is given below

Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

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Q: 46. A triangle with sides 5,5 and 6 feet is submerged vertically in water (p=62.4 lb/ft³) with the 6…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: Find the position of a body moving on a coordinate line at time t for an acceleration a= dt² initial…

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Q: Let f"(x) = -x (2x+1)(x-4)" A. On which intervals is f concave down? B. Give the x value of…

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Q: (13) Find the equations of the tangent line and normal line to the given curve at the specific…

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Q: Increasing global temperatures raise sea levels by thermal expansion and the melting of polar ice.…

A: Given L(x)=0.02x3-0.07x2+8x where x is the number of decades since 2000.

Q: 1 2 1 Q2. If A = 200 31 2 find A¹.

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Q: Calculate the tripe integrals SSS xyz dxdydz where B é the block 0≤x≤2; 0 ≤ y ≤ 1; 1≤z≤2

A: We have given in question, triple integration of xyz with respect to x, y, z

Q: 1) Evaluate the following iterated integral. 2/2 sin(2y) SS dydx y 0x

A: Use change of order of integration.

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 3 y…

A: y=8x13, for 0≤x≤18, about y-axis

Q: If a = (-1,-4, 4) and b =, then a × b equals: O-4i-k O 4i + k O i +4k O 4i+k None of the others.

A: We can find the cross product as below.

Q: True or False: The definite integral 2 1² is equal to Select one: True O False 2/₁² (2x + e*)dx xdx…

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Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: To find the derivative.

Q: Find the volume of the solid of revolution formed by rotating the region bounded by the parabola…

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Q: y = 3 2 x²/3 + 1, 8 < x ≤ 1 (3)

A: The objective of the question is determine the length of the given curve.

Q: lim h→0 (e) cos( 4 + h) h 1

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Q: Let A(t)=15(0.8)^0.2t (in milligrams) be the amount of drug in a patients body at time where t is…

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Q: Find all solutions to 2 sin(0) 0= = - - 1 on the interval 0 ≤ 0 < 2π Give your answers as exact…

A: We can find the answer as below.

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

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Q: Find the constant of variation when one exists and write it in simplest form. Direct variation…

A: We have to find out solutions

Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

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Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

A: Find the value of integral

Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

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Q: DE 1. xy(5) y(4) + x²y"" = 2yy' TYPE ORDER DEGREE LINEARITY

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Q: Find a plane containing the point (-1,-7,-8) and the line of intersection of the plan 6x + 4y + 4z =…

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Q: Let a = -27 +53 + 4k. Find a.

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Q: X = [₁,√38² - 1 db y = v √314 - 1 dt, -2 ≤x≤-1

A: Firstly find  derivative of y then find length of curve

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

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Q: Why are 9x^2-81y^2=0 and 9x^2-(z^2/4)=0 hyperbolas that pass through the origin and not lines that…

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Q: Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values. 3 f(x) = (5x…

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Q: y-axis about the y-axis 2. Rotate the region bounded by y = 2x², y = 8 and the y-axis about the…

A: Use disk method

Q: Complete the parametric equations of the line through the point (4,-8,3) and perpendicular to the…

A: See this solution in below

Q: If b) [ f(x)dx = = n(x)) = 1 then find f(x). = + = 2 x ² + 6x -tan(x) - 4e + + 6x + C

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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…