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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: Consider the integral -4 dx x2 If the integral is divergent, type an upper-case "D". Otherwise, eval...

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Q: Suppose a population can be modeled by P(t) = 400(1.065)*, where P(t) is in thousands and time is in...

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Q: are no such val are a whole interval of values that fulfill the requirement, use interval notation t...

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Q: the

A: We will find the local minima, maxima, and inflection points.    

Q: 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to the line y = 3x + 1 (Hi...

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Q: Vx2-1 dx

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Q: Given the following function f(x,y) and a positive number ɛ, find the largest possible value of ô >0...

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Q: Find the indicated derivative and simplify. y' for y = (2 + 7x- 9x²) ex y' =]

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Q: Find a particular solution to the ODE below using undetermined coefficients. Use t as the independen...

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Q: A fundamental set of solutions of a homogeneous linear nth-order differential equation comprises(Cho...

A: A fundamental set of solution of a homogenous linear nth order differential equation compries of :  ...

Q: 3-2s 2. F(s) = %3D s2 +4s+8

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Q: Let A = and B = , P = (9, 8, 7) d. find an equation for the plane which contains the point Pand is ...

A: We have to find an equation for the plane which contains the point P(9,8,7) and is parallel to A = &...

Q: 5. f(x) = 2x2 – x + 6 for all values of x

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Q: Find the domain of the following function f(x) = Vx2 - 1

A: Here, the given function is: f(x)=x2-1

Q: Determine the length of the curve y = In(cos r) betweenI = 0 and r = 1/4. (Hint: if you simplify the...

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Q: Calculate the partial derivative using implicit differentiation of x'w + w + wz? + 3yz = 0. (Use sym...

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Q: Idéntify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: The function is  y=3xx

Q: #3 a-c

A: We will solve all the parts. 

Q: Consider the function f(x) = 2x 3x- 36x + 54. a. Find the first derivative. f'(x) b. List any critic...

A: For critical values , f'(x) =0. If f'(x) >0 for every x on some interval I , then f(x) is increas...

Q: A graph of y= f(1) is shown. In the same coordinate system, sketch a graph of the derivative functio...

A: The given graph is of a parabola with the vertex (0,-1). So, its equation is: y=a(x-0)2-1⇒y=ax2-1......

Q: Find the equation of the tangent line to the curve of f(x) = x³ - 4x + 5 at the point (2, 5). Оа. у%...

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Q: The region bounded by f(x) = – 4 sin a, x = T, x = 27, and y = 0 is rotated about the y-axis. Find t...

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Q: V1+x? 3. S dx

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Q: Solve the systems of equation: Equation 1: x + 2y + 3zi = 20 + 5i; Equation 2: 5x - 3yi + 12z(1-2i) ...

A: Given x+2y+3zi=20+5i Equation 1 5x-3yi+12z(1-2i)=-50-180i Equation 2 x+yi+2z=20-10i Equation 3

Q: S 1. F(s) = (s-3)4

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Q: Find the following indefinite integrals subject to the initial conditions a) y'= with y(1)=0 x²+6'

A: topic - differential equations

Q: 1) @sketch the graph of fwhere Fr)=[sine ], o<x< 37/2 ( is the greatest Pntege's function. 9) O Use ...

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Q: lim -Vx + e* + sin(x)cos(x) 1+ In (x)

A: limx→3-x5+ex1+ln(x)+sin(x)cos(x)=-35+e31+ln(3)+sin(3)cos(3)

Q: Solve the proportion and check. - 3 4 12 - 3 p The solution set is { 4 12 (Type an integer or a simp...

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Q: Display addition and multiplication tables for Ζ8.

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Q: 2. f(t) = 6 sint cos t

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Q: funchioN fo= x-2x-3 X+3 find the secod derivatve tx): Baseden: criical value -6.5, 0.5 and second de...

A: Given: fx=x2-2x-3x+3   We know that; The Quotient rule: fg'=f'·g-g'·fg2 The chain rule: fgx'=f'gx·g'...

Q: elan tan n -1n n=1 n2 + 1

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Q: Find all of the critical numbers of the function g(0) = sin 0 in the interval (0, 37). (a) r = #/2, ...

A:  A detailed solution is given below

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 2y and y = x with y ...

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Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form...

A: we have to determine the point slope form 

Q: 2. Given the graph of y =f (x)below, on the same set of axes draw a graph of y - 2 (x -1)-3 transfor...

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. y = v1+ ex, 0 < ...

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Q: An equation for a quartic function with zeros 4, 5, and 6 that passes through the point (7, 18) is a...

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1) y=π 2)f(x)=(x2+3)+(2x-5) 3)y=(x2-3x)10

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of...

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Q: Hw. Find dw and dw for the following functions

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Q: ind the absolute extrema of the given function on the indicated closed and bounded set R. (Order you...

A: Extrema

Q: -7 dx Vx-9 3

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Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

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Q: 5 What is a. lim,-3 f(x) b. lim,-2 f(x) c. lim,0 f(x) d. lim,2+ f(x) e. lim,2 f(x)

A: To find the given limit values for the function using the give graph.

Q: tanh r lim +0+ sechr - 1

A: Given problem:-

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: 4. Te- 105 has a half life of 203.9 hours. If there are 1054 g of Te - 105 initially, how long will ...

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