Compared to the graph of y = 3 sin x, the graph of y = 3 sin(x + 1) – 2 is shifted %3D O 1 unit to the left and 2 units upward O 1 unit to the left and 2 units downward O 1 unit to the right and 2 units upward O 1 unit to the right and 2 units downward

Q: Given that f(): 2 - 7z and g(x) = z + 3, find %3D (a) f+ g= and its domain is (b) f - g= and its dom...

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Q: Please solve in steps. And highlight main equations.

A: The given curve is: σ(t)=sin(t) cos(t), 3t2, et

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

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Q: Find all real solutions to 2x'3 -4x6 – 6=0. 1/3 1/6

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Q: 17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. LAM. 46 3. 8....

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Q: 7. Find the arc length of each curve (integrate by hand) a) x = -8y– 3 on [– 2,6] b) y = , 3 on [0,6...

A: Here we have to find the arc length of the given curves.

Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: y = (3 + e“)“ dy Use Logarithmic Differentiation to find dx dy

A: We are asked evaluate the derivatives

Q: Convert the equation to the standard form for a hyperbola by completing the square on x and y. a2 - ...

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Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h...

A: We will find the equation of tangent line as shown below

Q: Find the oblique asymptote. 7 - x3 f(x) = 2x2 7-x3 2x2 y =

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Q: Question 15 > Solve the equation below by any method. Give an exact answer, using radicals if neede ...

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Q: Write the primitive counting results for your 159 sheep: 159= For example, the answer for "14" wou...

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Q: Select all the expressions equal to pr ry Op.r: (r· y) O (p . z) ÷r·y Op.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y? ...

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Q: Write the quadratic function in standard form. f(x) = x2 - 6x f(x) = (x-3)2 +4.5 x | Sketch its grap...

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Q: Find the alue of C that satisfied the theorem for the function fCx) = 3+ Jc on the %3D in terval (4....

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Q: Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P= (2...

A: NOTE: Refresh your page if you can't see any equations. . the function f is 

Q: If f(1) = 3, f'(1) = 4, g(2) = 2, and g'(2) = 8, find F'(1). F'(1) = ... NOTE: This problem is a bit...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 11. If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at w...

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Q: The graph below is the function f(x) 3- 2 5 4 -3 -2 Find lim f(x) = I -1- Find lim f(r) Find lim f(r...

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Q: ст A particle moves along a straight line and has acceleration given by s'"(t) = 5t. Its initial vel...

A: To find the position function s(t) , integrate the given differential equation two times and apply t...

Q: . Find the area bounded by the curve f(x) = (2+x)(x – 5), the lines = -2, line = 0 and the x - axis.

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Q: Sin zt 2 2 7o47 mous

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Q: If f(x) VI 2 find: VI + 2 f'(x)= f'(2) =

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Q: 3. Use cylindrical shells to find the volume of the solid eenerated when the shaded region is revolv...

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Q: sin x For what value(s) of a is the expression undefined? 1+ cos x O OT - 2

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Q: 3. Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square i...

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Q: xy dA, where D = {(x,y) | sin x <y < 1/2,0<

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Q: (y* – 2xy)dx + 3x²dy = 0 a.

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Q: 5T is equivalent to 12 The expression csc 1- 2 sin? 12 1 Cos 6. - 1- cos 6. 5 2 cos? 6 - 2]

A: Topic = Trigonometry Correct option  csc5π12=21-cos5π6  

Q: 0.3 0.6 0.9 1.2 1.5 h(q) 19 30 46 73 114

A: To find the h'(0.90), means calculate slope between [0.6,0.9] h'(0.90) = h(0.9)- h(0.6)0.9-0.6=46-30...

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

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Q: Find 18. | cot°0 sin*e de

A: Since we are given with the multiple number of questions and our guideline is solve the problem.

Q: e sinh 2x dx

A: The given integral,       ∫e-xsinh(2x) dx

Q: Evaluate the integral of * 4xV16 x2 using the new variable. а. 2/3 оБ. 256/3 c. 255/3 O d. 15/3

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Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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Q: There are 164 students in an Electronic Engineering (Computer) program where 110 students like Diffe...

A: Solved below

Q: Use the function f(1) = a² – 4 to fill in the table: 2 f(z) 3 2.5 4.5 2.1 4.1 2.01 4.01 Based on ONL...

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Q: (a) sec e = 2 e = degrees e = radians (b) cot e = 1 degrees radians

A: SOLUTION-

Q: Use the definition of the derivative to find the derivative of, g(x)=x3−2x2+x−1

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Q: Problem 3. Find an equation of the circle whose endpoints of a diameter are (-1,3) and (7,–5).

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Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with (A 3...

A: Given y'' = x  and the curve passes through (1,2)  with a slope of 5/2. which means y(1) =2, y'(1) =...

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: 6. f(x) = log, (x–4)

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Q: Find the volume of the solid whose base is the semicircle y = V4 – x2 where -2 < x < 2 and the cross...

A: Explained below 

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y =...

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Q: a) cos -1 V3 b) V3 sin- c) cos cos d) sin sin- 4 cos cos 2

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Q: Use logarithmic differentiation to find the derivative of y. 22) y = 1 B) - |(Inx - In(x - 7)) D) X-

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Q: 5.Find the area of the surface generated by revolving the given curve about the y-axis. x= 19- y, - ...

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