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Q: In x dx x5

A: Given ∫lnxx5 dx

Q: 2b + 3 %3D = 2b + 2 x + 27 =

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Q: 2-use Cramer's rule to solve the system 3tan²x+y=3 2 tan’x -3y=13 X.

A: Given equations, 3tan2x+y=32tan2x-3y=13we know thatfor system  of…

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A: The detailed solution is mentioned in the step 2

Q: arcsin(sin 30 ) = 1 2 O1 O -1 O 30

A: Given:        arcsinsin30∘

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Q: Consider the function: f(x)=10√x+8 on the interval [1,8] .Find the average or mean slope of the…

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Q: t-1+2 dt

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Q: Sketch the graph of the function using transformations. y= -2 tun( -) + 1 IT 8

A: y = -2 tanx2-π8+1Midline:y=1vertical shift: 1 units up from x axis.Period:period of tan function is…

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A: Given  f(x) = 2x2-4x+2 The graph is

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Q: Find the derivative of the following using First Principle. 1) y = 1 2) у %3D х 3) f(x) = 5x3 %3D 4)…

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Q: The integral in this exercise converges. Evaluate the integral without using tables. 00 - 1 12 tan'w…

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Q: o S(e*+3 + ex-3)dx +e*-3•

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Q: 4. V21-4x-x² dx

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Q: Q3. Evaluate the integrals below. For each integral, first calculate the related indefinite inte-…

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Q: 54. U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…

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Q: Find the centroid of the region lying between the graphs of the functions y = 11 sin(x) and y = 11…

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Q: Suppose at t minutes, r(t) meters is the radius of a circular oil spill from a ruptured tanker and…

A: The given data is: rt=4t2+20,    if 0≤t≤216t+4,     if t>2 To prove that r is continuous at 2.

Q: 3 dt (2t +8) Vtti

A:

Q: Can the Fundamental Theorem of Calculus be used to find

A: We have to check the validity of fundamental theorem

Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) S 3x² -…

A: topic - linear equations in two variables

Q: Two equations and their graphs are given. Find the intersection points of the graphs by solving the…

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Q: Express the limit lim > (7 sin (27) + 6)Az, over [2, 4] as an integral TL 00 1-1 Provide a, b and…

A: Formula :

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation and use…

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Q: 5. * 1 dx х (In x)3 1 + C 2 (In x)² 1 + C 3 (In x)2 A C 1 + C 2 (In x)? B D z+C 3 (In x) O A В E…

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Q: 4х if х> -1 f(x) 3D { 5 — х2 if b < x<-1 Зх + 7 if x < b

A:

Q: Let a = ci + j andb = 8i + 15j. Find e so that the angle between a and b is. Round your answers to…

A: Consider the dot product of two vectors

Q: Find the total area of the shaded regions. y=x√(36+x^2)

A:

Q: Write the first three terms of the sequence whose general term is an=n!3n. Provide your answer…

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Q: A) Write the DE that describes the model and solve it. B) Determine the time needed for the number…

A: Follow the procedure given below.

Q: 2. Consider the graph shown on the right. a) What is the minimum and the maximum value? b) What is…

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Q: Assume that in the absence of immigration and emigration, the growth of a country's population P(t)…

A: In the absence of immigration and emigration the growth rate of the country is given by dP/dt = kP…

Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

A:

Q: f(b) – f(a) Find the value(s) of c that satisfy the equation = f'(c) in the conclusion of the mean…

A: We can find the value of c that satisfy the equation  f(b)-f(a)b-a = f'(c) .

Q: Determine the Riemann sum that represents the illustration below. The function is Ax) = /x +1. 4- 3-…

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Q: Choose the values that would complete the general solution for y = arccos (-1 ±2tk HIN O O O O 0

A: Given:     y= arccos-1

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find volume of parallelepiped.

Q: 2. Find the limiting values of 3x? + 5x - 4 (i) 5x? - x +7 as x oo | x? + 5x- 4 (ii) 2x2 - 3x + 1 as…

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Q: If f(r)dr = f(x)dr+ | f(z)dr - f(r)dr. 7. what are the bounds of integration for the first integral?…

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Q: The graph shown below is fx) = x + 1. What is the integral function g(t) that defines the area under…

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Q: 33. Compound Interest If $2000 is invested at an interest rate of 3.5% per year, compounded…

A: Given query is to find the future amount for the given years.

Q: d) 2x³y + e2y = 4x + 5x²< e) y = (2x* + 4)4*

A:

Q: lim f(x)=-5 f. f'(-3)=0 а. g. f'(-2) is undefined h. f(-1)=2 i. f'(-1)=0 j. f'(3)=0 b. f'(-5) is…

A: When there's no tangent line and thus no derivative at a sharp corner on a function

Q: Determine whether each improper integral below converges or diverges. 1. Sxe-3x dx. хе 1

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Q: 4. Consider the function f(x,y) = 4 + x³ + y² – 3x – 4y a. Find the values of x and y that…

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Q: only do a) and c)

A: The population (in billions) of the world t years after the year 2000 is given by the logistic…

Q: Find the inverse of the matrix of the following [1 8 91 1-A=|0 4 6 Lo o 3] 2 [3 2- A=5 -1 3

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Q: Determine whether each improper integral below converges or diverges. a dx 2. S Vax – x 2

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Q: b/ Find the solution to the homogeneous differential equation below dy x²+y² dx 2ху

A: