9. 5 ( 47--1) dy

Q: Let a and b be constants in R and If_lim (f(x) — (ax+b)) = 0, what is the value of b? ∞0++20 f(x) =…

A: Let a and b be constants in R and fx=5x2+6x+7x-5.If limx→+∞ fx-ax+b=0, then to determine the value…

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Q: If g'(0) = 7 and f(x) = 2g(x) - 4ex - x² + 3x, what is f'(0) [A] 13 [B] 11 [C] 14 [E] 17-4e [D] 17-e

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A: For the function f(x)  given in the table, find the average rate of change over each specified…

Q: Evaluate So (ti+t²j+t³k)dt = i+ j+ k.

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A: Please see the below picture for detailed solution.

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Q: Find the area of the region that is enclosed by the cardiod r = 10 — 10 sin 8. NOTE: Enter the exact…

A: Concept: The area of the region bounded by the cardioid is Area=∬Rrdθ

Q: / Suppose That The position Vector in = brî + (ct 9t²) îrok where be Vectors (₁) be constant. 9=…

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Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

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Q: x²-3x - 10 x + 1 Given f(x) = statements are true? which of the following Select the correct answer…

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Q: Let z = √x² + y². = v² In w and y= 2. If x and y are functions of v and w given by x = find əz θυ…

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Q: Find the general solution of the following equation.

A: Find the general solution of  dy/dx= yex

Q: (3) Evaluate the definite integral 3.5 (a) √2²5 √7-2xdx

A: As per the company rules, we can solve the first question and rest can be reposted.

Q: Let f(x) = −sin(x)and g(x) = cos(x). Find [f(x) g(x)]. dx d -[ƒ(x) • g(x)] = sin²(x) - cos²(x) dx d…

A: This question can be solved using product rule of differentiation.

Q: 2. Evaluate each limit, if it exists: a)lim ²-4 x-2 X-2 b)lim 1-x² x-1 1-x x²-4x x-0 x(x-1) c) lim

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Q: Question Given f(x)= = -2x² + 14x - 12 x-1 Select the correct answer below: I which of the following…

A: Let's solve limit and continuity problem.

Q: f(t) = 18 h(t) = -2t Evaluate. f(h(-5))=[ Show Calculator Stuck? Review related articles/videos or…

A: Topic = Functions

Q: 5. Give a rough sketch of the quadric surface y = −x² − z² + 5.

A: since the given surface is 3d so it need to be plot on 2d on paper by assuming z=1

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Q: Suppose you deposit $1300 in an account with an annual interest rate of 5 % compounded quarterly.…

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Q: Find the wait Vector of The Vector B as be shown in the Figure YF 181 - 10 unit B 37° xx

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Q: Find the local minimum of the function f(x), which is given in the graph below. -8 Provide your…

A: Solution

Q: f(x) = 4sin (1-3x2) + xcosx-9, then f'(x) = -24xcos (1-3x2)+cosx-xsinx True O False

A:

Q: Determine the intervals over which the function shown below is continuous. Enter your answer in…

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Q: Consider the function f(x)=x²+x and the point (1, 2). (a) Find the slope of the tangent to the graph…

A: Slope of a function y=f(x) at a point (a,b) is given by y'=f'(x)x=a=f'(a)ANd equation of tangent at…

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Q: Write an example of a function and solve whose derivative can be found by using the following rules:…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: If log (64) = 2, then x = If log (256) = 4, then x Number Number

A: Topic = Algebra

Q: 4. 5. cy² = x² + y x = A sin(wt + ß); w a parameter, not to be eliminated

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Q: 2. Given the vector function (t) = (cos 2t, sin 2t, tan² 2t), find a) The unit tangent vector T (t)…

A: Given question :- We have to find unit tangent vector and equation of tangent line at the given…

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Q: Find the average value of f on [0, 16]. fave || YA W 4 8 2 0 12 x In a certain city the temperature…

A: Average value  of function interval [a,b] ⇒fave=1b-a∫abfxdx

Q: 4-x 5-√√x² +9, lim x-4 5- 9-x² x-35-√√x² + 16, lim

A: To evaluate the limit.

Q: Solve the initial-value problem. xy'−y=xlnx, y(1) = 5 O a. y(x) = 5x(In x)2 O b. C. y(x) = 5xln x +…

A: The given equation is; xy'-y=xlnx, y(1)=5.

Q: Find the local maximum of the function f(x), which is given in the graph below. 4 -3 Give your…

A: find the local maximum of the function from the given graph.

Q: FB 1.1 Make two properly labeled sketches, the graph of a) a function and b) a relation that is not…

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Q: 4. Ignacio wants to have 10,000 pesos at the end of 10 years. He decided to open a bank account that…

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Q: 5. Prove that x + y ≤ x − y + x + y for all x, y € R. Hint: Use the triangle inequality.

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Q: A comet moves in a parabolic path with equation 16y = z² + 6x + 12; a graph of its path is shown.…

A: Please see the below picture for detailed solution.

Q: Consider the following vector function. r(t) = (3t², sin(t) - t cos(t), cos(t) + t sin(t)), t> 0 (a)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Given f(x) = eln(x), ƒ' (1) = _ ANSWER: Blank 1 Blank 1 Add your answer

A: Given: The function is  f(x)=exln(x)

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A: Fluid force=∫abρh(y)d(y)dywhere ρ is the density of liquid            h(y)  horizontal length of the…

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A: NOTE: Refresh your page if you can't see any equations. . y=the rate of change of oil consumption in…

Q: Question Find the average rate of change of the function f(x) = x² - 8x + 12 on the interval [1, 1 +…

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Q: Find the indicated derivative. for p = 9² +2 4q-1 11 da

A: