Find the indicated derivative. f'(8) = If f(x) = 3 6x2 48 3 find f'(8). VX

Q: 5. We know 6+ i and 4-√3 are roots of a 4th degree polynomial. Find the remaining roots.

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Q: Use the suggested substitution to write the expression as a trigonometric expression. Simplify your…

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Q: Let f(x) = x-4. You apply (in the order given) all of the following transformations to f(x) to get…

A: Given query is to apply the transformation and find the new function.

Q: PLOT THE GRAPH FOR THE GIVEN CURVES AND CONDITIONS BELOW Need to find out the differential equation…

A: We have to plot the graph.

Q: Let f(x)=√-4x-1 f′(x)= f″(x)=

A: Given query is to find indicated derivative.

Q: Problem 2 There are two points on the graph of the equation y = 2x² +9x² - 60x+12 where the tangent…

A: Explained below

Q: 2. ydx + (e³x + 1)dy = 0

A: ydx+(e3x+1)dy=0 Rearranging the equation: ydx+(e3x+1)dy=0 (e3x+1)dy=-ydx

Q: Use any method to set up an equation to find the volume of the solid generated by revolving the…

A: We need to set up integral.

Q: a. f(x)=²x-2 g={(1,-1),(-1,1), (2,3), (-3,2), (6,2), (-2,0), (0,√3)} h(x) = √2x - 1 b. g C.

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) 5.…

A: We use a transformation to change the Bernoulli differential equation to a linear differential…

Q: Compute the first-order partial derivatives of the function. 16x √x² + y² (Use symbolic notation and…

A: Given, z=16xx2+y2

Q: Find equations of all lines having slope -3 that are tangent to the curve y=3/x-8

A: y=3x-8we need to find the line that are tangent to this curve

Q: 4x² . Let y=f(x) = 4x+1

A: Topic:- application of derivatives

Q: Set f(x) Question 1 Solve the equation f'(x) = = 0. If there are more than one solution, separate…

A: Explanation of the answer is as follows

Q: se the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: answer=4(tan(θ))

Q: What is a periodic function? Give examples. What are the periodsof the six basic trigonometric…

A: Function: In mathematics, a function is an expression, rule, or law that establishes the…

Q: z'o'z-=!x - hx = (h¹x),

A: Given function:- fx,y=xy-x

Q: When is it possible to compose one function with another? Giveexamples of compositions and their…

A: Composition of functions helps us to combine two or more functions into a new function.

Q: Eliminate the Arbitrary Constant in the ff. equations: 2 b. cy² = x² + y

A: Given : cy2=x2+y   To Eliminate :  Arbitrary constant in given equation

Q: In Exercise use graphing software to determine which of thegiven viewing windows displays the most…

A: Given, fx=x4-7x2+6x

Q: What is an even function? An odd function? What symmetry properties do the graphs of such functions…

A: A function f(x) is said to be an even function if f(-x)=f(x)and a function f(x) is said to be odd…

Q: 9. y = ln *³(x-¹)(use properties of logarithms) (x+1)4

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Q: 4. y = ln (x²+3)² x³√√x²+1 (use property of logarithms)

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Q: A triangle has sides a = 2 and b = 3 and angle C = 40°. Findthe length of side c.

A: Given: A triangle has sides a = 2 and b = 3 and angle C = 40°.  To find: The length of side c.

Q: 2. xdy-√√x² + y²dx = 0

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Q: 12 a) Express in its simplest form. 20

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. Find the extrema and/or the saddle points of the functions. a) f(x,y) = e4y=x²-y² b) f(x, y) = (1…

A: Note:sorry for the  we should solve only one question , as solution is too long. Hence please repost…

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

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Q: Consider the function f(x, y) = (eª — x) cos(y). Suppose S is the surface z = f(x, y). (a) Find a…

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Q: 4. Compute limz+2 2 2²-4 Z-2

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Q: 22. (e¹ + y) dx + (2 + x + ye³) dy = 0, y(0) = 1

A: Given ex+ydx+2+x+yeydy=0 and y0=1

Q: A tank contains initially 2.500 liters of 50% solution. Water enters the tank at the rate of 25…

A: Given the initial volume is 2500L of 50% solution.

Q: f(x)= 9x x2+8x + 15 Vertical asymptotes: x= -3, x=-5; Horizontal asymptote: y = Vertical asymptotes:…

A: Topic:- application of derivatives and calculus

Q: DIRECTIONS. Indicate the degree and determine the solution of the following equations. 1. 2(2x² +…

A: NOTE: Refresh your page if you can't see any equations. . the degree is the power to which the…

Q: A restaurant dinner menu includes the following statement. "All dinners are served with a choice of:…

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Q: Set f(x) = 1 7x³ + 3x + 2 . (1, 1/12) is on the graph of ƒ. Find (ƒ-²¹) (¹2). The point 1,

A: The solution to find the value of inverse of f(x) at 1/12 is as follow.

Q: Find an equation for the plane that passes through the point (1, 8, −9) and is perpendicular to the…

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Q: 6 5 4 3 2 1 y = f(x) 012 lim h→0 = lim f(f(x) + 1) = x → 1- 3 I f(0 +h)-f(0) h I 4 5 I I Enter each…

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

Q: 6.1.5 Exercises 1. Area between two power functions. Find the area of the region between y = x¹/²…

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Q: If f(x) = -4x³ - 5x² − 3x + 7, compute the first, second, and third derivative of f(x) - f'(x) =…

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Q: 43-48 Each limit represents the derivative of some function of at some number a. State such an f and…

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Given ƒ (5) = 5, ƒ′(5) = − ½, 9(5) — 2, and g′(5) = −8, find (4)´ (5). =

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Q: eliminate  the arbitrary constant a and b: y= a+be^x

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Q: II TE [] # # # H # # I 1 10 OK E II I H II I # I #I HI T # I # I 1 # 5 10

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Q: Derive a formula for tan (A - B).

A: To derive:- tanA-B

Q: 3. Evaluate the following indefinite integ a) f dx 1 x ln(X)

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Q: a. b. C. d. e. dx x(x²+1) S S S sin ²0 cos²0 de 9dv 81-v4 Je cos(20 + 1) de x3 x²–2x+1 S

A: the solution is given below

Q: A tank has the shape of an inverted circular cone with height 10 m and base radius 6 m. It is filled…

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Q: Find simpler expressions for the quantities in Exercises 45-48. 45. a. eln7.2 b. e las 46. a.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: You can choose from two pairs of jeans (one blue,one black) and three T-shirts(one beige, one…

A: Given Data: Number of black Jeans=1 Number of blue Jeans=1 Number of T-shirts n=3