Suppose lim f(x) = 7, lim g(x) = -4. 818 x48 x³ f(x) - 6x - 5 + 9x - 7 lim xxx³g(x)

Q: Draw an augmented matrix for the following system of equations: 3z − 2z + 3z = 4 −5z + 4z + 27z =…

A: Given equation 3z − 2z + 3z = 4 −5z + 4z + 27z = 0 10z + 25z − 13z = −9

Q: A solid is generated by revolving the region bounded byy = √ 196-x² and y=0 about the y- axis. A…

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Q: b) f(x) = cos(x)

A: To find the derivative using the chain rule. fx=cos2x

Q: Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s…

A: The equation of the curve is given as,r(t)=(1+5t)i+(3+2t)j+(9-2t)kand the interval is given as,…

Q: Write the area A of an equilateral triangle as a function of the length s of its sides. STEP 1:…

A: Given A = area of the equilateral triangle s = side length b = base h = height

Q: Step 1 of 4: Find lim_ f(x). x--3- 10 10 5 -5 -10 y Enable Zoom/Pan 00 5 Tơ X

A: To find limx→-3- fx.

Q: Can someone please help me

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Q: 63 X = 55° X 75° NOTE: The triangle is NOT drawn to scale. Find the following: Round your answer to…

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Q: 3. Assume that f and g are entire. Use the definition of the derivative: f(z)-f(zo) 2-20 f'(20) =…

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) F(x) = if…

A: We have to find the limit and graph the function.

Q: x + 1 X-7' (a) the average rate of change of f(x) on [x, x + h] Given the function f(x) = (b) the…

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Q: Select the correct choice below and fill in any answer boxes i your choice. OA lim F(x)= (Type an…

A: Given query is to find the Indicated limit.

Q: Evaluate the function at each specified value of the independent variable and simplify. (If an…

A: Given f( x ) = 3 - 2x   ,    x < 0          = 3              ,    0 ≤ x ≤ 1         = 2x + 1    ,…

Q: Consider the following equation of a line. 4x + 2 = 0 (a) Find the slope and y-intercept (if…

A: Consider the following equation of a line. 4x+2=0 (a) To find the slope and y-intercept (if…

Q: y=x 2 y

A: volume is as follow.

Q: f(x) g(x) The graphs of f and g are given above. You may click on the graphs to get larger images of…

A: Given query is to find the value of indicated quantity from the graph.

Q: Use the diskor shell method to find the volume of the solid generated by revolving the region in the…

A: Volume revolving about x and y axis

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Match the graph with its corresponding function. +++ -10 -5 ņ O g(x) = (x - 3)2 O g(x)=x²-3 O g(x) =…

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Q: The curvature of the helix r(t) = (a cos t) i + (a sin t)j + bt k (a,b20) is k=- 2,2 a+b What is the…

A: Given helix:- rt=acostiasintj+btk

Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x^2. Find a…

A: Here we have to plot a graph.

Q: 7. Find the point (a, b) on the graph of y = x³ - 3x² +4 where the tangent line is x - 3y = 1.…

A: given y=x3-3x2+4tangent line perpendicula to x-3y=1if two lines are perpendicular than there slopes…

Q: Match each function (a, b, c, d) with its derivative and explain how you knew. Not all derivatives…

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Q: Use the given graph of the function f to find the following limits: 1. lim f(x) = 5 x 17 2. lim…

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Q: Explain how each of the following features relates to a function's derivatives and curve sketching.…

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: (a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 4 using a Riemann sum…

A: Given: f(x)=1x+4 from x=0 to x=4 and n=10

Q: Let f(x) = 6x + 6 ƒ-¹(x): =

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Q: Sketch a graph of the following hyperbola. Find the center, vertices, foci, and asymptote equations…

A: Given: x^2/ 36 - (y− 1)^2/4 =1

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = 6 Make a…

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Q: Suppose that lim f(x) = 5 x→3 and lim g(x) = 3 x →3 Enter the exact value of lim(fg)(x) x→3

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Q: aluate each of the following expressions. te: Enter 'DNE' if the limit does not exist or is not…

A: Here we have to find the limit of the function by observing the graph.

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: Suppose the position of an object moving in a straight line is given by s(t)=2t² +3t+5. Find the…

A: The position of a moving object at any time instant t is given by st = 2t2+3t+5 To determine: The…

Q: Solve the equation for exact solutions over the interval [0°, 360°). 4 cos ^2x − 1 = 0

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Q: 60° 14 The hypotenuse of a right triangle with base angle 60° and base 14 is

A: GivenIn the right triangleBase=14Base angle is 60°   We are required To find the hypotenuse

Q: Find the general solution of the differential equation: y'+3y = 4 sin(3t) Use lower case c for the…

A: A detailed solution is given below.

Q: Using: lim f(x) = 5 and lim g(x) = 6, evaluate x-4 x-4 Limit = | Enter DNE if the limit does not…

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Q: . Given that y = 3x - 7 is tangent to y = f(x) at x = 2, find the tangent line to y = xf(x) at x =…

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Q: ← Suppose the position of an object moving in a straight line is given by s(t) = 1² -1² + 6. Find…

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Q: Use and function value. the graph to find the following limits a. lim f(x) X-2 b. lim f(x) X-2* c.…

A: see below the answer and explanation

Q: Find an equation of the plane. the plane through the points  (4, 1, 4),   (5, −8, 6),  and  (−4, −5,…

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Q: Consider the function f(x) = −3x − 4 and find the following: a) The average rate of change between…

A: Topic - Average rate of change we are given f(x)=-3x-4

Q: a) Graph the function f(x)=x² + 4x. b) Draw the tangent lines to the graph at the points whose…

A: Given that: f(x) =  x2 +4x . We find derivative of this function f(x) by using first principal of…

Q: Find an equation of the plane. The plane through the point  (6, −7, −1)  and parallel to the plane…

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Q: Find an equation of the line that passes through the given point and has the indicated slope m.…

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Q: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim…

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Q: appliance company has determined that the cost of producing ice cream makers is $30.50 per ice cream…

A: Given query is to find break even point.

Q: 25. All solutions are asymptotic to the line y = 3-t as t → ∞.

A: (25) Given that , y=3-t Construct a first order liner differential equation whose solution have the…

Q: f(x)=-4x+4,g(x)=2x^(2)-3x Find f(3) and g(-6) Simplify your answers as much as possible.

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