24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

Q: alyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of…

A: We are allow to solve one question and 3 subpart only at a time. If you want rest of solution please…

Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

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Q: Disgraced my answers for step 2 or exercise b, plewse just answer all of the boxes; thank you!!

A: Please see the below picture for solution.

Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

A: Let the two numbers be  x and yx+y=10⇒y=10-xx2+y2=SS=x2+10-x2   =x2+x2-20x+100   =2x2-20x+100

Q: Find the length of segment AB. Round your answer to the nearest tenth. A 51° 26° 20 mi B 15 mi 16 mi…

A: ANSWER: 16 mi SEE ATTACHMENTS

Q: integral

A: We will solve the definite integral.

Q: dy 4 V -1

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Q: 33) Find tue ared ef tue Serface formed by revolving thecirele r= f10) = 10 C6s Q f10) =10 Cos Q…

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Q: Area Between Two Regions Name: (a,h) (0, 0) (b,0) Use integration to determine the area of the…

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Q: Evaluate the defınite integral. e? i +ej+t k)dt e? i + (e- - 1) j+1 k 7 e? - 1 i - (e- - 1) j+ 1 k 7…

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Q: 2 2 2 2 4' 16' 64' 256' 1024

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Q: The area bounded by y=3Vx and 2y =3x is revolved about the y-axis. Using circular ring method, set…

A: This question can be solved using the concept of circular ring method.

Q: y =x und y = x+2 ... evolve the area about the line x 3. Using cylindrical shell method, the volume…

A: The cylindrical shell method gives the ,Volume on revolution about a line is given by…

Q: short

A: Please refer to the image below

Q: Find the limit: 4z4 – 4y4 lim (1,9) → (3,3) 4yª z² - y?

A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

Q: f (x) = (x + 1)º – 9x – 2 %3D (a) Find the intervals on which f is increasing or decreasing (b) Find…

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Q: 6x² +19x+13 2x +5 5.

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Q: FInd Fas a function of x and evaluate it at x = 0, x = 7T/3, and x = /2. FX) = F(x Cos 8 de Fx) FO)

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Q: For AABC, you are given mZC = 123°, mZB = 44°, a = 11ft. Find c. 40 ft 44.2 ft 41 ft 38 ft Previous

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Q: Consider the function f(x) = 5 – 4x² , – 4 < x < 2. - The absolute maximum value is and this occurs…

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Q: Answer the following questions for the function f(x) = x/x? + 1 defined on the interval – 5 <x < 7.…

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Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor series…

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Q: rrent Attempt in Progress Find r'(t). r(t) = (tan-'(9t))i+t cos(t)j – v NOTE: Enter your answer in…

A: We have to find the derivative

Q: Solve the following differential equations: . 2y ++ e* (1+) dx + (x+ 2y)dy = 0.

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Q: Find the exact value of each of the following trigonometric fum 12 90 <0<180° 13 sin 0= cos 0=…

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Q: y = xx, x-4, nd y =0 Revolve the area of the shaded region about the line x-4. Using circular disk…

A: Given  y=x√x=x^(3/2) X=4 and y=0  Now volume of solid evaluated as  V=integration 0 to 4…

Q: If the series converges, find its limit. (Leave your answer exact.) If the series diverges, simply…

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Q: f is just that e*-sin(x + y) + cos(x +y)] and = -e* sin(x + y) which if the ollowing is true Select…

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Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: Which of the following differential equation has the same order and degree? [dy]6 + 5y = e* A. + 8…

A: See the answer below

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: solution:-limx→1sinx-1x3+4x-5 ,  it is  00   formusing  L'Hospital's…

Q: 2. Use the limit theorems to find the following limit. x2 – 5x – 14 lim x→7 x - 7

A: Given :limx→7x2-5x-14x-7

Q: A ball is thrown into the air and its position is given by h(t) = - 4.3t2 + 41t + 15 where h is the…

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Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r>0 and one with r…

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: To determine whether the given series is convergent or not.

Q: -2- At the point shown on the function above, which of the following is true? O f' > 0, ƒ'' > 0 Of'…

A: If the second derivative is positive then the graph of the function is concave up.

Q: Consider the function f(x) = cos(3 x). (a) Give the derivative of this function. f'(x) = | (b) Find…

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Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

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Q: 1 If x= tand , then dr coso do . (1+x²) ½° A True B False

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. U-5 np

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: Determine the area of the given region. y = x + sin x y 4 3

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Q: Solve y’’ – y’ + y = 2sin(3x)

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Q: | 5f(x)dr c f(r)dx if c =

A: Given :∫725f(x)dx=c∫27f(x)dx

Q: Identify the function and interval which does not meet the conditions for applying the Mean Value…

A: We have to solve above question

Q: Find the length of the curve. 8) The spiral = e20, 0 s 0 s Ti r

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Q: Find V × (V × F) if F(x, y, z) = 5xyj+ 10xyz k. V × (V × F)

A: As we know that; If F→=F1i+F2j+F3k then ∇×F=ijk∂∂x∂∂y∂∂zF1F2F3 Given: Fx,y,z=5xy j+10xyz k

Q: long

A: We will use long division method.