rental bus fee of Php. 2000 .00 per day plus Php. 10.00 per mile traveled. How much does the rental payment if a total of 40 miles, 60 miles, and 80 miles were driven in a day? a. Make a graph and b. Table of values

Q: /3 In (x+ 1) e series representing the integral -dr is given by A. (-1)"+1 n=1 3" (n+ 1)2 В. (-1)"+1…

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Q: (x³ + 4, if x 2] Consider the function f(x) = Find the value of D such that f(x) is continuous at x…

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Q: Consider a triangle ABC like the one below. Suppose that a=57, b=71, and c=70. (The figure is not…

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Q: Suppose f(x) dæ = A. Explain graphically what the value of the integral below is when %3D f (x) is…

A: Suppose ∫0afx dx=A. To explain graphically what the value of the integral below is when fx is an odd…

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Q: 2. The linear differential equation x*dy+(2y– 3x²y-x' \dx = 0 has the integrating factor equal to…

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Q: Linear equation of order one: dy-(x' – 2.xy kdx = 0

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Q: Maxima/Minima Classify all the critical point(s) of f(x, y) = 2a³ + 6x} – 3y3 – 150acd maximum and…

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Q: Find the derivative of the following functions and simply it whenever possible. 2. y = log√(2x+5)

A: Given: y=log2x+5   As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x And…

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Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E 1 as a telescoping series and find its…

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Q: Suppose FW = Ax+B, with F6)-r and F() - 8, pind F) interms of A,B,r,s

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t+00 4t2 + 5' 8t (?, ?)

A: Find the limit

Q: Find the derivative of the following functions and simply it whenever possible. 7. y = (xe)x

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Q: Consider a triangle ABC like the one below. Suppose that a=14, b=10, and A=82°. (The figure is not…

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Q: Determine if the following statement is true or false. The points P(1, 0, 1), P2(3, - 4, - 3), P3(4,…

A: Use the distance formula to determine whether given lines laying on a same line or not.

Q: Find the derivative of the following functions and simply it whenever possible. 4. y = log (sin24x)

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Q: dy (3+x²) +2xy = (3+x²)x² dx (a) Solve the differential equation. (b) Find the particular solution…

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Q: 1. Find the Radius of Convergence (R.O.C.) and the Interval of Convergence (I.O.C.) for the…

A: Consider the power series                 ∑n=1∞ an(x-a)n then series will convergent if x-a<R ,…

Q: [1.5y – 4Vy 2. y? 3cos y + csc y + In 3· 3|dy csc²,

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Q: Find the average value of f(x, y) over the region R. F(x, y) = e* + y R: triangle with vertices (0,…

A: This is a problem related to average value of the function. Based on the general formula and concept…

Q: Find the arc length of the parametric curve. = 14 cos(t), y = 14 sin(t), z = 48t; 0<t <T

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Q: secotaned0 2sec0+3

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Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z = 2…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: Linear equation of order one: dy- (x² – 2xy ldx = 0

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Q: f(x) = x²In x + sec x; find f"(x)

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Q: . Linear equation of order one: dy-(x' - 2xy}dx=0

A: The given differential equation is linear differential equation.

Q: The total revenue and total cost functions for manufacturing Items are: TR(q)=-5q²+80q and…

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Q: The slopes of the lines tangent to the function y = 4x° – 4 T on the interval (-oo, 00) is a…

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Q: d) t2 = 6,t3 = 12,t10 =x %3D

A: Given, t2=6t3=12Aim : to find  t10.We know that tn=arn-1Where a is first term,r is common…

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A: At x=0 , f(x) has removable discontinuous.

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim t→+∞\ 7t2 +8'8t (?, ?)

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Q: 3. Determination of integrating factors: 2y(x+ y+2)dx +(y² - x² -4x-1)dy = 0

A: The given differential equation is  2y(x+y+2)dx+(y2-x2-4x-1) dy=0. Repost the next question.

Q: Intermediate-Value Theorem from Intermediate-Zero Theorem? b. Right-Hand Continuity from Left-Hand…

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Q: Given the power series 2 2n A x(n + 3) n = 0 Use the technique that we covered in this unit to Shift…

A: To shift the index of the power series use the substitution n = R - 3

Q: Determine the slope of the line tangent to y = x+1 at x = 1 3x2

A: y = (x+1)/3x2 slope = dy/dx dy/dx = (3x2(1) - 6x(x+1))/9x4 slope at x=1 dy/dx = (3 - 6(2))/9 dy/dx =…

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A: A detailed solution is given below.

Q: Consider the following IVP: x" + 4x = t+4 ; x(0) = 1, x'(0) = 0 Find the general solution.

A: Explanation of the answer is as follows

Q: (2×+5)2xー5 2x -5 3.

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Q: Find dz/dr if z as a two variables function in r and y is defined implicitly by y3 + x22 + r sin r…

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Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work. 8T…

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