Find an equation of the tangent line to the graph of the function at the given point. f(x) = (x + ³)²³; (5, 4)

Q: K Find the domain and range of the function. f(x)=√√7x+14 The domain is (Type your answer in…

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Q: 28. Find the dimensions of the rectangle of largest area that has its base on the x-axis and its…

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Q: Find T(e) if r(t) = (t, 5, In t)

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Q: Suppose that f(5) = 1, f '(5) = 4, g(5) = -2, and g'(5) = 3. Find the following value (a) (fg)'(5)…

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Q: Consider the function g whose graph is given below. -6 -5 3 H -1 -2 -3 6 (a) Determine if g is…

A: Answer Think about the function 1x on the open interval (0,1) - it is not defined at 0, but this…

Q: The total cost (in dollars) of producing x food processors is C(x) = 2200 + 90x−0.5x². (A) Find the…

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Q: Up to scaling, the graphs of logarithmic functions are identical. True False

A: The logarithmic functions are given by: f(x)=log10x, f(x)=log2x, f(x)=ln x=logex

Q: Compute the derivatives of the given functions. a)  f(x)=ln(7x5)  f′(x)= ___ b) g(x)=ln(4√x,…

A: This is a problem of derivative. Please follow the procedure given below.

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A: Given   1. For line 1 - Passing through point P-2, -3 and have x-intercept equal to -1. 2. For line…

Q: For f(x) = square root x and g(x)=x-2 find the following function (fog)(x)

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Q: Let L be the line passing through points (-2, -5) and (3,4).  1. Find the general equation of the…

A: Let L be the line passing through points -2, -5 and 3, 4.1 To find the general equation of the line…

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A: The given function is  f(x)=-x if x<4 x-4  if x≥4 Draw the graph of the function.

Q: Decide if the given equation is a solution of the given differential equation. 2 3 y' - 3x²= 2, y =…

A: Here is the solution:

Q: Problem #3: Evaluate the following integral by reversing the order of integration. Problem #3: e8 8…

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Q: The graphs of f and f' are shown over the domain [-8, 1]. my Graph of f Graph of f' Part A:…

A: Given data:- The given graphs f and f' are shown the domain (-8,1)

Q: Find a plane containing the point (6, 8, – 8) and the line r(t) = ( − 2, 6, 7) + t - 5, 3, − 3).

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Q: 5 -4 -3 -2 -1 I 6 4 3 2 1 -24 12 i -3 34 M 1 2 What x value has a jump discontinuity? 3 4 What x…

A: Topic- discontinuity of a function for jump disconntinuitylimx→c-f(x)≠limx→c+f(x)for removable…

Q: 1.) f(x)=(2x-5)(3x-4)

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Q: 1 0 2 Find 2A, A - B and B+C or explain why it is impossible to do so. A = [000] ,B = " [102] 1 ,C=…

A: The objective of the question is determine the matrices oparation.

Q: Find the amplitude, period, and horizontal shift of the function. y = 5 + 3 sin(5(x + 1)) amplitude…

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Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

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Q: Suppose h h'(0) = = fog. Find h'(0) given that f(0) = 7, f'(3) = −5, g(0) = 3, and g'(0) = 8.

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Q: Find the marginal average cost function if cost and revenue are given by C(x) = 165+ 7.3x and R(x) =…

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Q: 29. A 10 ft tall fence runs parallel to the wall of a house at a distance of 4 ft. Find the length…

A: Formula: In right angle triangle Cosx= Adjacent side/hypotenuse Sinx= opposite side/hypotenuse

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A: calculation of above requirement are as follows

Q: Question The position of an object moving along a straight line after t seconds is modeled by the…

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Q: The graph of f(x) is shown below. Which of the following statements are true? -7 -6-5 -3 -2 -1 8 7…

A: Here we have to choose the correct option.

Q: a) If  f(x)=x f(x)=x then f′(x)= b) If g(x)=9x+(−14) g(x)=9x+(−14) then g′(x)= c) If…

A: This is a problem related to derivative of the function. Please follow the procedure given below.

Q: Find the next three terms and then write the explicit form of the given sequence below. 4,9, 19, 31…

A: Given that the sequence is:   4, 9, 19, 31,... Since the given sequence above is the number of…

Q: The median home price in the United States over the period January 2010-January 2015 can be…

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Q: Simplify (x^2 y^3 z)(x^3 yz^2) and evaluate when x = 1/2  y = 2 and z = 3

A: Topic:- algebra

Q: A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 70°F.…

A: #4

Q: 2.) dy dx 1 x²+1

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Q: Find g'(x) for g(x)=x¯4/3 g'(x) =

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Q: Suppose F(x) = f(g(x)) where f(-2)=8, f'(-2) = 4, f'(5) = 3, g(5) = -2, g'(5) = 6. Find F'(5).

A: Using chain rule of differentiation

Q: Find an equation of the tangent line to the curve at the given point. y = x4 + 6x2 − x, (1, 6)

A: Given, y = x4 + 6x2 − x,  (1, 6)

Q: Express the following as a single logarithm 1. 2log2x + 3log2y - 4log2z

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Q: Suppose that f(x) = 3√x. 1. What is the average rate of change of f(x) over the interval [1,4] ?…

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Q: A die is rolled. Find the probability of the given event. (a) The number showing is a 2; The…

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Q: Find the domain and range of the function. f(x) = 3+x² Identify the domain of f(x). (Type your…

A: Given, f(x)=3+x2 Aim: Find Domain and Range

Q: find scalars c1, c2, and c3 for which the equation is satisfied. 19. c1(1, −1, 0) + c2(3, 2,…

A: Given,  c1(1, −1, 0) + c2(3, 2, 1) + c3(0, 1, 4) = (−1, 1, 19) That is  C1(i-j) + C2(3i+2j+k) +…