Let f'(x) = f(x) = = 4x √8 - 6x

Q: ose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional (-3, 3) and at the…

A: Directional derivative of f along u is given by  Grad f . u/|u|

Q: The terminal ray of ZA passes through the point (-4, — 6). - ZA is drawn in standard position. What…

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Q: 13元 At what point on the unit circle, does the angle 3 lay? A B C D (售) () (售亭)

A: A detailed solution is given below.

Q: As OHaganBooks.com has grown in popularity, the sales manager has been monitoring book sales as a…

A: Concept: The equations with two variables and the largest exponent order of 1 each have one, zero,…

Q: Evaluate the integral. (Use C for the constant of integration.) x² 3 + 4x 3/2 dx 4x2) 3/2

A: We have to solve given integral.

Q: The shaded region between the graphs of y = −2x² + 20 and y = 3x – 15 is displayed below in - 25+ -6…

A: y=-2x2+20and  y=3x-15fot intercetion points  -2x2+20=3x-15

Q: Suppose that a 5-foot-long chandelier falls from a 35-foot ceiling and that you are 6 feet tall and…

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Q: Question #7 - Find the relative extrema for the function f(x)=(x-2)¹3³ using the first derivative…

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Q: 7.f(x) = 10x4 - 3x³ + 8x² - 4x - 8 8.f(x) = 4x5 + 3x² + 9x³ − 8x² + 16x - 24

A: Hi this is your answer.

Q: Y= xy3x=5 (унуза

A: This is question of calculus  Here one equation is given  We have to decompose  it by apply both…

Q: Use substitution to find the Taylor series at x = 0 of the function 4 sin (-x).

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Q: Let the function f be defined by tan(x) -1 sec(x) (a) Use the Quotient Rule to differentiate the…

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Q: Evaluate the following integral. 2 f(1+ Inx)x² dx 2 (1+ Inx)x* dx = 1+ 1 In x)x* dx = (Type an exact…

A: To evaluate the following integral. ∫121+lnxxx dx

Q: Given that f(x) = x³h(x) h(-1)=5 h'(-1) = 8 Calculate f'(-1). -33 Hint: Use the product rule and the…

A: Formula used ddxxn = nxn-1ddx( u.v ) = udvdx + vdudxGiven f( x ) = x5h( x )

Q: 1. (a) Sketch the region enclosed by the given curves, including clear labels of all the curves, and…

A: Sketch of the region:

Q: Consider the function f defined by the formula 5x + 3(2x) f(x)=sin(ax) + ax² 4x² +8a-1 +5 if x > 1,…

A: Given f( x ) = 5x + 3( 2ax )         if x > 1          = sin( ax ) + ax2      if x = 1…

Q: To produce 1000 items, the total cost is $6000 and the marginal cost is $10 per item. Estimate the…

A: This is question of application  of calculus  Here cost relationship given  We have to find the cost…

Q: Evaluate the following limits, if they exist. Where applicable, show all work. lim

A: As per the rules we can answer the first question and rest can be reposted.

Q: Evaluate the integral cos 4t sin 4t dt. Jomman x/8 _cos 4t 5 л/8 sin 4t dt = dt= 0 0 (Type an exact…

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Q: W 9 O(A) and ronl Graph of f' 38. The graph of f', the derivative of f, is shown in the figure…

A: Given the graph is of f'( x ) where f'( x ) is the derivative of f( x )

Q: whats y" of y=15xcosx

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Q: Which of the following is a correct classification of the differential equation xy" + 2(y¹)* - y = 0…

A: To classify the given differential equation

Q: 23π Which angle measure is not coterminal with the angle 36 ?

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Q: esinx Q2. S dx secx

A: Integrate by substitute method

Q: c. The seemingly different answers are the same, because they differ by a constant. In fact, (x +…

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Q: For the given functions, (a) express dw dw as a function of t, both by using the chain rule and by…

A: On solving this we will get

Q: What is the particular solution of 2xyy' =1+ y², when x = 2, y = 3 ? a. y =√√5x-1 c. y =√√5x+2 b. y…

A: Given differential equation 2xyy' = 1 + y2

Q: If f(x)=√√6x, then f(x+h)-f(x) h lim h→0

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Q: Find the possible rational zeros. 5. f(x) = 4x³ - 24x² - x + 6 6.f(x)= 18x4 + 12x³ + 56x² + 48x - 64

A: Note:- These are multiple questions according to rule we can do maximum 1 question. So i am solving…

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A: Find the inverse of fx=x+49-3x

Q: Use the graph below to estimate the marginal cost at the following levels of production. Round your…

A: To Find: Marginal cost when the quantity is: (i) 18,000 (ii) 14,000

Q: Without graphing, find the exact location of all relative and absolute extrema of given function.…

A: Without graphing, to find the exact location of all relative and absolute extrema of the given…

Q: 1. Use the definition of derivative to find the derivative of: f(x)=√x + 2. Is the derivative…

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Q: lim X18 2x³ - 3x x³+4x²

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Q: Find the equation of the tangent plane to the curve z = ² - y² at the point (5, 4,9).

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Q: Set up the integral that gives the area of the given surface. S= 27 4 S2 2T (2√9-y) 1+ 0 The area is…

A: To solve the given integral

Q: lim x→-1 2x + 2 | 1 + x| ||

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Q: Write an improper fraction that represents the shaded parts of the figure. Answer How to enter your…

A: An improper fraction is a fraction whose numerator is greater than or equal to the denominator.

Q: Question #6 - Find the following for the function f(x)=20x²-3x³ a) The coordinates for the relative…

A: Domain of  20x3-3x5 :  Solution:  -∞ <x<∞ Interval Notation: -∞ , ∞ Range of 20x3-3x5:…

Q: Assuming - 2x³ + 7y² - 9xy = 0 defines y as a differentiable function of x, use the theorem 기 dx…

A: Given -2x3 + 7y2 -9xy = 0

Q: 4. Use the Gram Schmidt, aka Marquis de Laplace process to produce an orthogonal basis with the same…

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Q: Can you show me the steps how to simplified this equation. I am having trouble with the square…

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Q: Consider the function h(x), for which h(2) = − 1 and h'(2) = -6. Find f'(2) for the function f(x):…

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Q: urvey was giv

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Q: 2. Evaluate each limit below. Clearly show all steps that lead to the answer. This includes…

A: Evaluate the limit.a limx→-5x2-x-30x+5blimx→2x-42-4x-2

Q: Find the points on the cone z² = x² + y² that are closest to the point (-4,3,0)

A: To find the point

Q: The function f(x) = x³ + 7x² + 0x − 16 is graphed below. Plot a line segment = -6 and x connecting…

A: To find the values of c which satisfy the mean value theorem

Q: The cost of producing xx units of stuffed alligator toys is c(x)=0.002x^2+6x+5000. Find the marginal…

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Q: [1] Let f(x) = 3-x², 2, X, x < 0, 0≤x≤2 x ≥ 2 (a) Graph the function f(x). (b) Compute the values…

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Q: The graph of y = x² is given below: (to get a better look at the graph, you can click on it). Find a…

A: To determine the formula for transformed function.