Find the derivative of f(x) = 9 In (x).

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

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Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

Q: Let f(x) = 24√√x - 4x. a. Find all points on the graph off at which the tangent line is horizontal.…

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

Q: g) f(x)=√1-ecos(1-x²)

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Q: Find the y-intercepts of the graph of the equation x² +9x + y² + 2y = 8

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Q: Identify the surface. hyperbolic paraboloid O elliptic cone O hyperboloid of two sheets O ellipsoid…

A: Question 1) Identify the surface Given surface is eliptic paraboloid

Q: Find parametric equations for the line. (Use the parameter t.) the line through (-8, 2, 7) and…

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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: 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: y=x 2 y

A: volume is as follow.

Q: 1. Find the volume of the solid generated by revolving the region bounded by the given lines and…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute,…

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Q: A circle has the graph shown with the indicated center. 6+ 5 4 32 2 H -6-5-4-3-21 -2 -3 15 -6 + 2 4…

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Q: Consider the following. 1 x + 6 Use the limit definition of the derivative to find the following.…

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

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Q: Find an equation for a circle with center at (5, 12) and a radius of 4. Make a sketch of the graph.

A: we need to find out the equation of circle with the given center and radius and also need to sketch…

Q: S 2 x3 dx

A: Given :∫-2x3dx

Q: Solve. Be sure to show and explain your work. log4(x + 3) + log₁(x − 3) = 2 Answer: log4(x + 3) +…

A: We have given logarithmic equation  log4x+3+log4x-3=2 Using formula  loga+logb=logab ........(i)…

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

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

Q: A mass is attached to a spring with spring constant of K=10. The spring is stretched to 30cm passed…

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Q: K Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

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Q: The answer is not clear

A: we need to differentiate the function.

Q: The region R in the first quadrant of the xy-plane is bounded by the curves y = -6 sin(x), x = π, x…

A: The given region is: y=-6sin x,       x=π,    x=2π  and  y=0

Q: ello!! You need to do these answers correctly!! The way you answer I can ONLY see half of the…

A: The formula of arc length is given as,s=∫0t|v(t)|dtAndL=∫abv(t)dt

Q: Simplify the expression. Assume the expression is ((3c^(2)d)/(b^(2)))^(-2)

A: Given expression: 3c2db2-2

Q: 5. Given that the particular solution of y" - y' = cosx + sinx has the form = Acosx + Bsinx.…

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Q: Let the polyhedron P be defined by x1 + x₂ + x4 ≥ 2 -x1 + 2x2 4 3x2 - x3 ≤ 7 x3 + x4 -1 x2 > 0 X3 20…

A: Given: let the polyhedron P be defined by  x1+x2+x4≥2-x1+2x2≥43x2-x3≤7x3+x4≥-1x2≥0x3≥0

Q: Find an equation of the plane. the plane through the points  (0, 4, 4), (4, 0, 4), and (4, 4, 0)

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: use the complex zeros to factor f(x)=x4+122x2+121

A: f(x)=x4+122x2+121we know -1=i

Q: 2.10

A: (a)  x=3y-3y3 ,  about x axis volume(V)=∫ab2πR(y)H(y)dywhere R(y) is radius H(y) is height

Q: 7. The strip below shows a bike path that is of a kilometer long. By reasoning with our definition…

A: The strip below shows a bike path that is 43 of a kilometer long. By reasoning with  the definition…

Q: Find the first three partial sums for the following geometric series. Clearly show plug-in steps…

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Q: Use technology to find f'(3), f'(16), and f'(-3) for the given function when the derivative exists.…

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Q: Evaluate the integral. *5 dx L² - (x² - 1)3/2

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Q: nd the point on the curve r(t) = (5 sin t)i + (5 cost)j – 12tk at a distance 13x units along the…

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Q: ***************** ***************** A company can produce LCD digital alarm clocks at a cost of $7…

A: The company's cost function is Cx=7x+20. We have to find its average cost function and marginal…

Q: Can you please show the work completely. With the final answer

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Q: (a) f(x) = (b) f(x) = (c) f(x) = (d) f(x) = 1 + 5z - 6 -z+3 z²+z-30 2-5 2 27 - e 2x + 1 sin(TZ)…

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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: The length of a rectangle is 15 ft. Express the width W of the rectangle as a function of its…

A: express the width W of the rectangle as a function of its perimeter P

Q: Q2) (i) Find the binomial expansion of  (1+x)−2  up to and including the term in x2  as well as the…

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Q: (-2i)+(4-3i) Write your answer as a complex number in standard form.

A: Given that : (-2i) + (4-3i) and we write this as a complex number in standard form.   We know that…

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

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Q: a) Test the convergence of the series (1+x)³ = 1+ 0.5 n=1 b) Given the function f(x) = (1+x)³. i.…

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