1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

A: topic - application of derivatives

Q: Selected values of f(x) are shown in the table below. What is the e10 trapezoidal sum approximation ...

A: We have to find ∫410f(x)dx  

Q: 2. Use the sum and difference formulas to evaluate the following. 5TT COS 12 sin (-) 7Tt а. b. 12

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Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f (x) In(3 - 2.x) b) Fi...

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Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

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Q: Sketch at least TWO PERIODS of this scenario on a graph. You can copy the graph below on a separate ...

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Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

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Q: 1. f (х) — 5ӕ -4

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Q: -6 -5 -4 -5- The plot above is created with the parametric equations S¤(t) = a cos(bt) ly(t) = c sin...

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Q: • TT 2. sin? cos' –dx 2

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Q: +o0 Зп? — 4 >Un where sn = u1 + u2 + · · · + Un 3n2 + 4 n=1 convergent O divergent

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Q: Given g(x) = 3x-1 – 2 A) State the parent function f(x) = %3D B) Describe the transformations: Confi...

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Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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Q: Draw a line to show how the white can escape from check ,don’t forget:move ,block or capture

A: In this question we have to find how white can escape from check.

Q: Find the volume V of the solid S that results when the region bounded by y = x2, y = x, x = 0 and y ...

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Q: 2.x2 (а) lim,g->2 5x + 2 Зх — 6 а* (За — 1) (b) lim→∞ 50 + 4г — 2л3

A: A) limx-2 (2x2-5x+2)/(3x-6). B)limx-infinity(x2 (3x-1))/(50+4x-2x3)

Q: d'y Find for x* +y* = 16. Express your answer in fully simplified form. dx?

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Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: +00 1 Σ 4n² – 8n + 3 n=1

A: Convergence of series

Q: 8. Use the two-column proof table to simplify the given proposition. PV {¬(-Qv P) A-(-QVP) v (Q A¬P)...

A: Using table solve it. 

Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

A: Here, to find the interval when the hummingbird speeding up.  

Q: Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

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Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Given query is to find horizontal and vertical asymptot.

Q: i- graph and Rined Demain and Range for yz sin'x- 3 ーhn Hi-z+ 3x3-5 2. - graph apel find Df f Rf for...

A: 1. y=sin2x-32. limx→∞4x3-2x2+13x3-53. y=-5sin2x Note:      Multiple questions are given, we are answ...

Q: Evaluate the expression gP6 8P 9.

A:  Question: Evaluate the expression 8P6

Q: Evaluate the integral [[(ate?) i+ (o-8) j+ (3) k]at 0. S[(t022) i+ (e-) j+ (3)kJat = i+ ()j+ ( )k (T...

A: The integral,      ∫014te2t2i+e-3tj+3kdt

Q: I Find the second derivative (y") of the following functions and simplify the final results. 6. y = ...

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first...

Q: 2. Suit Sales The number of suits sold per day at a retail store is shown in the table, with the cor...

A: We need to find mean, variance, standard variation.

Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

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Q: Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

A: Find your answer below 

Q: 4cosx + 2sinx at x = 2

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Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

A: Solve the following

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: We have to find maximum profit so we find first derivative

Q: 3. Solve the following equations over all real num V2 sin(-x) + 1 = 0 a. |

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Q: Use the given information to find f '(2). g(2)  =  5   and   g'(2)  =  −3 h(2)  =  −1 and h'(2)  = ...

A: The objective of the question is evaluate the given composition of function at given point.

Q: 1. f(x) 16x? – 4x +5 %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 1. Determine if if r2 /2r is differentiable at r 2.

A: First check for continuity then the derivative if both exist then function is differentiable. 

Q: (x- 2. A tonk initially contoins 100 galons of brine whose concentration is ½ lb/gal. Brine whose sa...

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Q: tan x[cot x – cos x]dx |

A: Topic:- integration and trigonometry

Q: 3 2 y X-3x-x t3 From X = -1 to X= 8

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Q: (2 cos 3w – sec 3w tan 3w)dw

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Q: 7 Type equation here.

A: topic - indefinite integral

Q: ind the following limits if they 3. 2. 4x+1 lim x-o x-7 x +2x+x+27 8x 8. lim エー→+ 5.x-7 lim メー→+の 2....

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Q: tan x[cot x – cos x]dx

A: Here we can find the integration as below

Q: f(x)=5sin(x)cos(x)on(−π,π)f(x)=5sin(x)cos(x)on(−π,π) a) Find the critical numbers of ff.  (Separate ...

A: Solution is written in below steps.

Q: Letting I répresent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up...

A: Rate of change of salt concentration = difference of inflow salt concentration and outflow salt conc...

Q: INTEGRATE THE FOLLOWING (use integration techniques) -2y dy 2. Sy'e-24 dy

A: topic- indefinite integral

Q: Given the function f(x) = +x° + x° + 2%x*, find all x-values where f has an inflection point. 6. Ans...

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Q: Let > an be an infinite series. Choose the correct statements below. O If >, am converges, then >, J...

A: The objective is to choose the correct statements.