What is the average value of f(x), between x = 2 and x = 5 for f(x) = 2x?

Q: matrices to solve the system if possible. Use gauss jordan elimination. If system is dependent…

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Q: Solve the given initial-value problem. xy' + y = ex, y(1) = 8 y(x) = Give the largest interval I…

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Q: (a) By using substitution method, evaluate (x²³ − 1)² dx.

A: The integral isTo determine: The solution of the integral.

Q: 4) Find dx cos(xy) = y³

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Q: S dx x√16x²-5

A: Let I is the value of given integration.Therefore I=∫1x16x2-5dx

Q: Q3: Solve the differential equation by the Laplace: (choose one) 1. y" - 3y' + 2y = 16e³t 2. y" +…

A: Note : as per guidelines we support only first question.kindly repost next question.

Q: The base of a three-dimensional figure is bound by the line x = √√y on the interval [0, 4]. Vertical…

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Q: Use integration by parts to establish the reduction formula: [(In x)" daz = 2(lnx)" - n [ (in…

A: ∫lnxndx Integration by parts ∫udv=uv-∫vdu

Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

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Q: n open rectangular box with a volume of 12m^3 has a length that is 5 times the width. Express the…

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Q: Use the parameter to write each rectangular equation as a pair of parametric equations. State any…

A: The parameter is

Q: What is the vector shown in component form? w 7 4 3 N -1 -2 -3 -4 2 3 4 Enter your answer by filling…

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Q: dx 4+ (x-3)² 1. S.

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Q: Use the graph to estimate the limit of the function shown in blue as x→-1. O The limit does not…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 2) and…

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Q: (c) To solve this by calculus, we'd need to calculate substitution u = 1- x² doesn't seem to help.…

A: To explain briefly why the substitution , does not seem to help  to calculate the integral .

Q: f(x) = x²-2x-10, (P¹) (5)

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Q: What is the value of cos() if the terminal side of the angle intersects a circle at the point…

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Q: Question 12 O O Which of the following is equivalent to C ? 10 6 10 C 10 16 C 10 10 C 4

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Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

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Q: d the indefinite integral using integration by parts with the given choices of u and dv. (Use C for…

A: using  Integral by parts:-  ∫u v dx = u∫v dx −∫u' (∫v dx) dx  here u = ln(x) and v = x^3   u' = 1/x…

Q: Determine arc length of the graph of the equation (y-1)3  = x2 where the interval is [9,11].

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Q: Given an acceleration vector, initial velocity (uo.vo)., and initial position (xo.Yo), find the…

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A: The compound interest formula A=P1+r100tA= final amountP=principle valuer=the rate of interestt=time…

Q: Evaluate the surface integral. Jy y ds = ²/3 (x³/² + y³/2), 0 ≤ x ≤ 5,0 ≤ y ≤ 3 S is the surface Z =

A: ∬sfx,yds=∬Dfx,y1+∂z∂x2+∂z∂y2dA Note:- Since you asked multiple question , according to our policy we…

Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

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Q: Determine the area bounded by y^2+4y=x-3 and 2x-y-3=0. Using a Horizontal Element.

A: The area bounded by the curves x = f(y) and x = g(y)  between y= a and y= b is given by…

Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 10 meters high with a…

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Q: Complete the square and find the indefinite integral. (Use C for the constant of integration.) [√x²x…

A: We have to integrate  x2/(2x-x2)1/2 with respect to dx For solution , put x= 2sin2z

Q: Evaluate the surface integral. 11, 1²₁ yz ds S is the surface with parametric equations x = u², y =…

A: To evaluate the surface integral ∫∫S yz dS, we first need to compute the necessary components for…

Q: Problem #2: Find the derivative of 7x² - y¹⁰ = 25

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C…

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Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: 1. The function is given piecewise: ƒ(x) = cos(x) 0 X if x 0

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Q: If an object is moving along a horizontal path shown in the graph below. v(t) 0 N Describe the…

A: To findThe displacement of object for time interval [6,10]

Q: What is the vector shown in component form? 4 T ❤ 40 + 3 N -1 -2 -3 2 3 4 Enter your answer by…

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Q: In(1 + √x) √x s dx

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Q: Evaluate the definite integral foto tº cos(t5)dt: 5/π/2 Step 1: Start by making the substitution…

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Q: (a) (an) = (1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, ...)

A: The given sequence is (an) = (1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, ...).To determine…

Q: What is the total change of f(x) if f'(x)= sin(x) from [0, πT ]?

A: For a given f'(x)=f(x) where f'(x) is the antiderivative of the f(x) and in the interval x=a to x=b.

Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 00 st 4 2…

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Q: Question 2 Match each system of equations with the description of its solutions. 3x-9y+12z = -6 x-3y…

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Q: Use the substitution x = 2 sint, - ≤t≤ to simplify the following integral: 플 1 4 - x2 dx (a)…

A: By using substitution x=2 sint, -π2≤t≤π2, to evaluate the following integral. ∫14-x2 dx

Q: The table below shows the high temperatures for each month of 2021 in Atlanta where month 1 is…

A: Given : MonthTemperature153257365473580686788887982107211631255To find : The table shows the high…

Q: Assume v(t) = 6t - 18 on the interval [0, 6]. Find the total distance that the object traveled on…

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Q: Use the substitution z = 6 sint, 1 36-22 dz (a) Calculate √√36-22 in terms of t. ≤t≤to simplify the…

A: We have to evaluate the integral : ∫136-x2 dx using the substitutionx=6sint, -π2≤t≤π2.

Q: Suppose f(x)= = -4 6x + 6 Then the expression

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Q: Solve the given initial-value problem. dy y(x) = x(x + 1) I = dx + xy = 1, y(e) = 1 Give the largest…

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Q: c) (Vilntdt ; d) fe' sinxdx ;

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Q: YOUR TEACHER Kane Manufacturing has a division that produces two models of grates, model A and model…

A: Maximum of P = 2x + 1.5y occurs at vertex D(120,160)  P = 2(120) + 1.5(160) P = 480 Original…