Use the General Power Rule to find the derivative of the function. g(x) = (7 − 6x)4

Q: Question 18 The equation of the tangent line to the curve y = O None of the choices Oy=4x-8 Oy=82-4…

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Q: 1,100 1. Use the given graph of f to find a number 8 such that Swann mot tw if |x-1|<8 then |…

A: Given:- If x-1&lt;δ Then fx-1&lt;0.2

Q: Evaluate the integral. 5 e 5t 10t + 11 e 5t + 28 e S -dt

A: As per guideline we are solved first question you can repost Next question

Q: Use implicit differentiation to find the slope of the tangent line to the curve y x + 5y at the…

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Q: Consider the equation y" - 36y = 6 cos (6t) + 6 + e6t. According to the method of Undetermined…

A: Please see the below picture for detailed solution.

Q: Sind f(x) (8x-91-4 Sind derivative ہا۔

A: To find derivative of given function.

Q: (26-29) The graph of f' (the derivative) is given: pts each) 26. Identify the open interval(s) where…

A: According to our guidelines,i can solve only first three subparts only,please reroute the remaining…

Q: Give the three conditions that must be satisfied by a function to be continuous at a point.

A: A function whose graph is a continuous line or curve is known as continuous function. It does not…

Q: If F(x) = f(g(x)), where f(−4) = 9, f ′(−4) = 8, f ′(1) = 3, g(1) = −4, and g ′(1) = 4, find F ′(1).…

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Q: A line has the equation  y = 9x + 1. (a) This line has slope  ?. (b) Any line parallel to this…

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Q: The limit  lim  x-> 0  e^x-1/x  equals a derivative f' (c), for some function f(x) and some real…

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Q: If f(x) f"(0) = (4x + 1)³, compute the second derivative f"(x) at x = 0. Your answer cannot be…

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Q: Consider the second order differential equation dy Answer: dx Note. Your answers should be functions…

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Q: If r &gt; 1, nPr is less than nCr. Determine whether the statement is true or false. If the…

A: Given: If r &gt; 1, Formula Used: Crn = n!r!(n-r)! Prn = n!(n-r)!

Q: Answer parts a.- e. for the function shown below. 2 3 f(x)=6x² -X a. Use the leading coefficient…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: lim h→0 (2+ h)³-8 h

A: lim     ((2+h)3 -8)/h h-&gt;0 here we use law hospita rule and get limit of this for that…

Q: State the limit or sum of limits of proper integrals that must be evaluated in order to determine…

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Q: Answer parts (a)-(e) for the function shown below. f(x)=x³ - 2x²-x+2 a. Use the leading coefficient…

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Q: Equations of a Line: Let L be the line passing through the points (-1,1) and (4,-3). Given that…

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions.…

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Q: Simplify: 6(2x? + 4x) + 10(4x² + 3x).

A: Given data:- The given expression is, 62x2+4x+104x2+3x

Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3.…

A: The volume for solid of revolution between curves is the volume of object between a curve fy and a…

Q: EXAMPLE 1 (a) If x² + y² = 25, find dy/dx. (b) Find an equation of the tangent line to the circle x²…

A: Example:1The given equation of the circle is:x2+y2=25

Q: 1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the…

A: Given 1. foci -6, 1 and -6, -9 2. Vertex at -6, -1

Q: 0 500 soft ( + ( ① so) & cu!ss) d + ) (cose) dr

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: Given query is to fin integral convergent or divergent.

Q: Given that y(t) = c₁e6t + c₂e-ot is the general solution of the differential equation y" - 36y=0,…

A: given general solutiony(t)=c1e6t+c2e-6t

Q: Janelle can't wait to read the newest issue of her favorite comic, The Notorious Ninja, so she plans…

A: Given that Janelle can't wait to read the newest issue of her favorite comic " The Notorious Ninja"…

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: Concept Used: Basic properties of the function Vertex: Use the vertex form, y=a(x-h)2+k, to…

Q: Which of the following limits represents a derivative of the function f(x)=√x- ? O 1 lim h 0…

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Q: f(x) = x=² -2

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Q: How to Graph a Quadratic Function by HandUsing Its PropertiesGraph f1x2 = - 3x2 + 6x + 1 using its…

A: Concept used: Basic properties of the function Domain: The domain of the expression is all real…

Q: Determine the following limits analytically.

A: Given data:- The given expression is, limx→1024π2+4

Q: Find the solution of the differential equation satisfying the initial conditions y(0) = 1, y'(0) =…

A: The given differential equation, y''-12y'+36y=0 We have to the solution of the differential…

Q: Evaluate the integral. 3 X-4 S 11 X dx

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Q: ind a number d such that the line containing the points (d,4) and (-2,9) has slope -3

A: As we know that: The expression for the slope of the line when it passes through the points, Px1,y1…

Q: State the domain of the function f(x) Domain: 2³+52²-162-80 2²16 using interval notation.

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Q: For the function f(x) = -6x²-3x + 3, evaluate and fully simplify each of the following. f(x + h) =…

A: Topic-Functions We are given , f(x)=-6x2-3x+3 and we know that (a+b)2=a2+b2+2ab

Q: Solve the following differential equations. Question 8 ex [ y – 3 (ex + 1 )2] dx + ( ex + 1 ) dy = 0

A: Given differential eqution:- ex[ y–3 (ex + 1 )2] dx+(ex+1)dy=0

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: Concept Used: Basic properties of the function Vertex: Use the vertex form, y=a(x-h)2+k, to…

Q: 1 2 X 5 x+y 8 || 1 z 36 78

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√3-X²

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Q: 1. Dunder Mifflin has found that producing x cases of Premium Multiuse Copy Paper is given by C(x) =…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

A: Given query is to find rate of change of height.

Q: Laws of Exponents and Logarithm: Simplify the expression using the laws of logarithms and exponents:…

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Q: Could you kindly write it with pen and paper. I can't understand in this format.

A: Previous solution given is wrong, it take 5 instead of 3 in limit. Let's solve given integration.

Q: So If fis continuous and f(x) dx = 20, evaluare let U = 3x f² f(3x) dx.

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Q: I own a lot of Cubs paraphernalia: 2 t-shirts, 3 jerseys, 4 caps, and 6 hat pins. a. If I am going…

A: No. of T-shirts=2No. of Jerseys=3No. of Caps=4No. of hat pins=6------------

Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Given query is to find the value of the integral.