Find all Solutions för e such that 2/3 (а) sec @ %3D 3 (b) 2 sin? 0 – sin 0 = 1 (c) sec² x – 2 sec x +1 = 0

Q: Identify the point (xo, yo) on the line ax + by = c that is closest to the origin. -(유) (хо, уo) %3D...

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Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

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Q: The high and low tides for a small fishing dock are listed as Low 8ft at 3:00AM, High 15ft at 12:30P...

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Q: 5 sin“(3t) dt

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Q: What is the reference angle for the given angle measure drawn in standard position? Drag an angle me...

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Q: Let f and g be functions that satisfy f′(2)=8 and g′(2)=7. Find h′(2) for each function h given belo...

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Q: 9. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height a...

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Q: -7 h'(s) (s – 12)2 Find the s values in the interval [-6, 3 where h(s) takes its minimum. S =

A: We have to find the s values in the interval [-6, 3] where h(s) takes its minimum.

Q: For the following function, a) give the coordinates of any critical points and classify each point a...

A: A) CRITICAL POINTS:f(x) =xx2+36f'(x) =-x2 + 36(x2+36)2f'(x) = 0-x2 + 36 = 0x2 = 36x =±6 Critical poi...

Q: show complete solutions

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Q: Given the demand function D(p) = 225 - 4р, Find the Elasticity of Demand at a price of $31

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dx x²+9

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Q: x3 – 1 When you evaluate: dx The sum of the coefficient of for any constant n is 16 7 (c) None of th...

A: We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1   Given: I=∫...

Q: Find the implicit deriviate (dy/dx) of (2x+3y)1/3=x2

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Q: y= Sn (tan (8x) ニ

A: A detailed solution is given below

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: We have given∑k=0∞(67)k+3

Q: If A= then A1=0 true fals O

A: The objective of the question is choose the correct option.

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the ...

A: See the details solution in below

Q: 5. Find the derivative of y= x' +2x -1

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Q: 5. S(-5x-6 + 10x-11 – 20x-21)(x-5 –x-10 + x-20)dx

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Q: 4- -2 -2 2.

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Q: let

A: F(s) = (s+1)/(s+9),  

Q: Write the first five terms of the sequence: +00 {Vn²+ 7n – n}n=1 Determine whether the sequence conv...

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Q: A company estimates that it can sell 4,000 units each month of its product if it prices each unit at...

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Q: Consider the function f(x, y) = x2 + 2y2 – 4x – 4y, defined on R². Find and classify all the extrema...

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Q: "Theorem: If fThe mean value of a continuous function over the interval [a,b] is the number 1 m(f:a,...

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Q: 4. у %3D х6 - 3x + 5x2 7 2 4 6 8 5. у %3D (x + 10) (2х - 5) 6. у %3D (x3 + 1) (3x2 - 1) 7. у %3D 5x ...

A: 4)y=x62-3x44+5x26-78Differentiate w.r.t.x using power rule.dydx=6x52-3*4x34+5*2x6-0dydx=3x5-3x3+53x

Q: f(x+h) = 1/x+h+3 compute and simplify f(x+h)-f(x)

A: Given that, f(x+h) = 1x+h+3 We have to find the value of f(x + h) - f(x).

Q: Ans. 15, 22, 30 6. In a triangle, the smallest angle is half of the largest angle and the other angl...

A: In a triangle, the smallest angle is half of the largest angle and the other angle is 8 degrees larg...

Q: 8. A pipe can fill a swimming pool in 10 hours. If the second pipe is open, the two pipes together c...

A: As per our guideline w supposed to answer only the first question  Time taken by the firts pipe  to ...

Q: 7. An open rectangular box having a volume of 9 m is to be constructed from a tin sheet. a) Show tha...

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Q: x2 + 5x + 8 if x 1 on the interval (-2, 3]. The maximum value is and the minimum value is

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Q: Physically, integrating f(x)dx means finding the area under the curve from a to b area to the left o...

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Q: 5x S dx -S Insdx 4-5x+1 4- 5*+1 - -5".5 Ins rt du -t In clns) sns dx

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: We use ratio test for absolute convergence. Follow 2nd step.

Q: lim 19th 3. 1/-

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Q: 2x +8 1 x² – 12 x lim X→-6 x + 6

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Q: 8. (x + 2y – 1)dx + (2x + 4y – 3)dy = 0 (r - 1)y' = v+ 2(x – 1)3 9

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Q: dy (x+2)² 2y dx 'x - 4 x – 4

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Q: An+1 n the ratio- -to determine if the sequence An 5n + 5 m is strictly increasing or strictly decre...

A: Please refer to the image below

Q: You are the Director of Infrastructure Management at the Nash Telecommunications Company. You are ta...

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Q: The given graph of the derivative f′ of a function ff is shown. Assuming the graphs continue in the ...

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Q: 1) Evaluate the absolute extrema of the following functions on the given interval. S(x)=(x² +3x)³ [-...

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Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by...

A: Given query is to find the total sale for the given time period.

Q: 8. Svay y3 y²dy 2-

A: We have ∫y2dy2-y3

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

Q: f (x, y) = 5ye" – e5x – yð

A: for critical points equate the first derivative wrt x and y to zero.  

Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

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Q: Explain the following intervals on the line numbers-3<x<5

A: We will explain the given interval on the number line in the following step.