PROBLEM S. Cousi peR Tue FOLLOWia Ĝ Sequence: X,-32 FOR aLle PROve TuaT m71, < Xm FOR PROve THat m> 1. aLL COmpuTe THe limit lim Ky Isoc., FuaCTio FUNCTION HiNT: INCREASING xS-32 is STRICTLY aND CONvex on Co,0), loyLcR's..., Lectupe 5.

Q: Let x represent the units of labor and y the capital invested in a manufacturing process. When…

A: The solution consists of differentiation of equation with respect to x

Q: Use Secant method to find the solution of e-2 – – sin r + 2 = 0 accurate to within 10-5. Take po =…

A: The given equation is e-2x-x-sinx+2=0 and initial conditions are:p0=0.5 ,p1=1.0 The formula of…

Q: asymptote(s)

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Q: Find the distance from the point (4, -3, 6) to the plane 3x-5y+z=17

A: Given : Equation of the plane is                    3x - 5y + z = 17 And the Point is = ( 4, -3, 6 )…

Q: 2. f(x) = x1/2₂ -2 3. f(x) = -2 x+1 4. y= x+1

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Q: Calculate the difference quotient for f(x) = 5x² at a = 6. (Express numbers in exact form. Use…

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Q: Find the solution to the given (y+x³y³)dx+xdy = 0₁

A: y+x3y3dx+xdy=0

Q: Use any of these formula (an = 1/2 (a₁ + an ) or an = 1/2 [2a₁ + (n − 1)d] to solve for the sum of…

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Q: 2 .  Approximate  6 4 1 ln(x)  dx  using the midpoint rule with four subdivisions to four decimal…

A: Given :∫461lnxdxn=4

Q: If f(x) ƒ'(x) = = Cos = ƒ'(2): = 2 tan , then

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Q: Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 y 1 234 567 89

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Q: For the given functions, a. write a formula for fog and g of and find the b. domain and c. range of…

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Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

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Q: If g(x) = sin(x) then g'(x) = = g'(5) =

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Q: 1. 2. 3. 1. واد تراس || * t X 1 = - مام (1

A: Topic:- algebra

Q: Use the four-step process to find f'(x) and then find f'(2), f'(3), and f'(6). f(x) = 2x² - 9x+10…

A: Solution is given by

Q: Graph f(x) using the graphing utility. f(x) = y -0.5- 2 + C x powered by desmos What are the…

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Q: y²dx + x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) C D xy² = c(2xy) x+y²=c(2xy)

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Q: D] A freight truck consumed 26 gallons of gasoline to cover a distance of 125 miles while going…

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Q: 3x³y² +y dy 3y3x2-5x4 dx 2.) + = 0

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Q: Q5/ A: Solve the following differential equation by Laplace : dy dx || -6, y(0) = 3

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Q: Part 2: Graph the linear equations using a table of values. 7) y = x + 2 X 7 4 0 -8 -6 -4 X+2 -2 6 4…

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Q: Presentation2 pp O Microsoft Office Home My files- OneDrive i…

A: Given function is Pt=700e0.02t   ....1

Q: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values. (a) (fg)'(5) (b)…

A: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values.   (a) (fg)'(5)   (b)…

Q: x+y² Sketch the contour curves for f (x, y) = 4x-2 and k = 0, 2, 4

A: Let's draw the contour curves.

Q: Let f(x) x - Complete the table below. Round all table values to four decimal places, if necessary.…

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Q: lim X→ +∞o (√9x² -5x+1 +3x

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = -2x³ f(x)=

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Q: Find the partial fractions and solve for the constants: x+2 dx x²+x S A= -1, B= 2, C = -1 A=2, B =…

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 2t² + 3t+2. Find the…

A: Given:   The position of an object moving in a straight line is given by s(t)=2t2+3t+2 We have to…

Q: 191. y = √x from x=2 to x = 6

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Q: 24x√2x + 11 dx Of³, 4u √u du -2 (u-11) √u du S27 (u-11) √u du ₁4(u-11) √u du

A: To find out the correct substitution.

Q: Identify the inside function, u = g(x) and the outside function, y = f(u). (Use non-identity…

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) lim. 5x 3 t-> sin(t) t

A: The limit is  limt→5π3sintt To evaluate: The value of the limit.

Q: Given that f(x)= x² + 5x and g(x) = x -2, find the unsimplified AND simplified versions of the…

A: f(x)=x2+5xg(x)=x-2

Q: Example 4: a) Find the inverse of the function f(x) = 2(x + 4) - 6 b) How would your answer to a)…

A: I am attaching image so that you understand each and every step.

Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁ = 3 and x₂ = 5.…

A: For the function y=5x3-4xa To determine the avarage rate of change between x1=3 and x2=5.b To…

Q: Let ?(?)=4?2−4?−4.f(x)=4x2−4x−4. The secant line through (2,?(2))(2,f(2)) and…

A: To find out the slope of the secant line and also slope of the tangent line at the values given.

Q: Which of the following is an integrating factor of the differential equation ydx - xdy = 0. d. xy 1…

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Q: An invoice for $120,700 dated May 26, 2014 for a shipment of furniture has payment terms 1.5/15,…

A: Concept Used: 1.515EOM = There will be 1.5% discount on invoice amount if the payment is made by the…

Q: If f(x) 2 x2 find f'(5).

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Q: Find the limit of the following:  a) lim x→∞ (1 - x2 / x3 - x + 1) b) lim x→∞ (x - x√x / 2x3/2 +…

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Q: 1. f(x) = 4x² -5x

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Q: Q2. Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) =…

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Q: 3-1 x2-x² - 4x +4 (a) lim (b) lim (3x³ +√9x6 - 2x³) x→ ∞

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Q: Consider f(x, y) = √x+y+√√x=y. Compute and sketch the domain of ?х '

A: We need to graph domain of ∂f∂x

Q: igeonhole Principle Show that in any set of 41 consecutive integers there is exactly one divisible…

A: Pigeonhole Principle   (1) Show that in any set of 41 consecutive integers there is exactly one…

Q: y' + y² sin x = 0 Ans: y + cos x = c

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Q: Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) = y(0)…

A: For a second-order differential function, the characteristic equation will have two roots D1 and D2…

Q: 8. Given the points A = (1, 2, 4), B = (-1, 1, 3), and C = (-3, -2, 5). Find the equation of the…

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