Answer the questions for the function f(x) = - 3x + 3x2 - x a. Find formulas for f' (x) and f'(x). f'(x) =D f"(x) = Enter f(x), f'(x), and f'"(x) into your grapher to examine the table.

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: What is the volume generated by revolving the shaded region around the x-axis? Use the Disk Method. ...

A: Here we know that Volume (V)=∫abπr2dxTherefore here,Given function y=4x-1V=∫14π(4x-1)2dx Take the co...

Q: Find an equation of the tangent line to the graph of the function at a given point. Note: do not use...

A: Solution :we know that equation of tangent at a,b with slope dydx at that point.y-b=dydxx-a1. y=6x2+...

Q: Find the max amin, in flectlon foints and

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Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface. T...

A: According to the figure, we have

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

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Q: Par (+a) 1.

A: Solving the problem by doing the substitution.   NOTE :: As per our Expert guidelines we are suppose...

Q: A tumor is injected with 0.7 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an ...

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Q: d'y Find dz? of the function given implicitly: 6xy + 7e = 7e.

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Q: c) Determine if y=x tan (x) satisfy dy _ y _ y sec?(r) = 0 when yLu-0=0

A: Put value in equation for satisfied

Q: Activity 3.3. Find the equation of the tangent line to the curve f at the given value of x. Show and...

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Q: Given: c = 10 b 24° a = 12 Find the following item (nearest whole number and degree). b =

A: Topic = Triangle

Q: Evaluate the following integrals with solution

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Q: Fin d y' forsin X +Sin Y =A

A: Given query is to find the derivative of the expression.

Q: The Differentiation to be made must be based on the following topics. - Power Rule Give 3 examples w...

A: It is required to give three examples with solution and final answer on differentiation using power ...

Q: 9. . cos xsin?x dx. 2 ,5 10. 2 sin°x dx 0,

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Q: The shaded region, R, is bounded by the graph of y = x² and y = 4, as shown. a. Find the area of R. ...

A: 1.Area of the region R:A=2∫04x dyA=2∫04 y dyA=2 [y3232]04A=43[y32]04A=43(8)A=323 square units

Q: What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23 Continue...

A: Given:   Function equation is given

Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

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Q: Solve the inequality - 2 3 and enter your solution set in the box below using interval notation. To ...

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Q: Find the equation for a quadratic function that has horizontal intercepts at t = -2 and t = 5 and pa...

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Q: Tutorial Exercise Find the indefinite integral using integration by parts with the given choices of ...

A: As we know that; The Power law; ddxxn=nxn-1 And ∫sinax+bdx=-1acosax+b+C∫cosax+bdx=1asinax+b+C Where,...

Q: 00 4n + 15-n Untitled n = 1 5.5 5.5 Upda Determine whether the geometric series is convergent or div...

A: Topic:- sequence and series

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 00 5+ 2"...

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Q: Power Rule Give 3 examples with solution and final answer. Make sure it is unique and not advanced.

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Q: A large hotel chain needs to apportion 35 new surfboards for its visitors to rent among three hotels...

A: Given:    Total number of surfboards = 35   Adam's Method:  Step 1 : Find standard divisor,SD  = to...

Q: Given that the height, s(t), (in feet) of a free-falling object is given by the formula: s(t) = -16t...

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Q: A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the s...

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Q: (4) e. s = 8cos (4t2 + 9) ..determine s'(2) 1 (3) f. y = V(3-15x)3 (4) g. y = 4x (2x + 7)* 10021Test...

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Q: 7. The terminal side of an angle in standard position passes through the point (3, 4).  What is the ...

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Q: A taxi company charges for rides according to the following. The cost for every ride starts at $3.50...

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Q: For the following function, a) give the coordinates of any critical points and classify each point a...

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Q: EVa lud te the following integralsi (3 cos'x sin X d X

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Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given, ...

Q: Question 2: Differentiate the functions by using product or a) f(x) = (3 – x²)· sin5x

A: Given: a)f(x)=3-x2sin5xb)f(x)=3cosxx-5

Q: Using the figure shown, find sing (3, - 4) -3/5 3/5 4/5 -4/5

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Q: Find the derivative of the trigonometric function. (e) = t° sin(e) f '(t) =

A: if f(x) and g(x) are both differentiable functions, then product rule of differentiation tells:     ...

Q: The point P (2,1) lies on the ellipse 5æ²+ 6y? = c. Determine the value of c and write the point-slo...

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Q: Find b, given that LA = 500, 2C = 55º,a = 30. (Round to the nearest hundredth.) 55 b 30 50° A 37.8 2...

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Q: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

A: Topic = Trigonometric ratios

Q: Question 3: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x)...

A: The given function,    fx=x2-2

Q: A rocket is launched from the ground at an angle measuring 0.69 radians. The rocket travels in a str...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 %3D

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Q: Integrate S (a?- ) dv ; where " a" is constant O = - + C 3 =-{ (a? – v²)* + (a? – v²)* + C O = (2? –...

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Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

Q: Obtain the general and particular solution 2. 2ydx = 3xdy

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Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A: Given graph,

Q: What is the value of rez+1 ? 1+e-z df (0), where f(r) = dz Give your answer as an integer or as a de...

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Q: The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing a...

A: This question can be solved using rate of change of physical quantities.

Q: Find two points where the curve x^2+3xy+y^2=47 crosses the x-axis. The tangent lines to the curve at...

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