The integral of any quotient whose numerator is the differential of the denominator is the LOGARITHM. True False

Q: If f(x) = 9a'm(z), find f'(9).

A: This is a basic differentiation problem

Q: sin 4x What is lim X-0

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Q: х-2 Determine lim x→2- 2-V4x-x2 Your answer

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Q: An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole...

A: The rate of change of the water depth is:-

Q: The right endpoints approximating R, is n always an over-estimate for the area under the graph of f(...

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Q: Where did the value of _1 come from, explain the solution step by step and in a clear line, please x...

A: Formula: If bases are same then their Division: powers should be  substratcted am/an = am-n

Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

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Q: Obtain the general solution of the differential equation:y’ = cos2x cosy.

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Find: Jy (完)。 (2) X. dz W=X+y - そ + Sin Z

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Q: 22, what is

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Q: If F(x) = |"f(t)dt then by the -5 Fundamental Theorem of Calculus, we have F'(x) = f(x) Select one: ...

A: Given that Fx=∫-5xftdtTo prove :F'x=fxSolution if Fx=∫hxgxftdtF'x=g'xfgx-h'xfhxFx=∫-5xftdtF'x=1.fx-0...

Q: *+9x +20x Determine all the vertical asymptote/s of f(x) = if there are any. x* +x-12 X=-5

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Q: 4n + 4n + 1 an 2n + 1

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Q: Question Select your answer. Which of the following functions is continuous at any point 1 7 * = c? ...

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Q: A scientist initially has 40 mg of a radioactive compound that decays by about 10% each year (ie. af...

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Q: 6t dt = 3a? %3D Select one: O True O False

A: topic - definite integral

Q: Can you please answer both

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Q: or thG following gr OGLOW.

A: Example (for concepts):

Q: The slope of the secant of the graph of y=2x2 -3 through the points at which x = -2 and x = 1 is 1) ...

A: Given:      y = 2x2 - 3  Points : x = -2 , x = 1

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: |tan' x.sec x.dr = tan x +C %3D

A: This question is based on indefinite integral.

Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can ...

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Q: 5) For p > 1, the root test applied to Ln=1 nº is inconclusive (C). 5.

A: Given

Q: x3 if x 1

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Q: -) For the function f(t) = 16t3 - 40t consider the definite | integral "f(t)dt -1 a) Evaluate this i...

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Q: Let f(x) = 6x + 13 – 15e". Then the equation of the tangent line to the graph of f(x) at the point (...

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Q: Find the difference quotient and simplify your answer. f(x) – f(64). X – 64 f(x) = x2/3 + 1, X # 64 ...

A: Given that f(x)=x23+1 . We have to simplify the difference quotient. Given that,                 f(x...

Q: answer

A: We will find the value of x

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 3 3

A: To estimate the integral ∫025x2dx with n=4. Formula used: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+f...

Q: How

A: We will use Lagranges Multipliers. 

Q: What does P =

A: Intial polpulation =17000

Q: (a) Plot the first four terms of the sequence 3n? – 3n + 2 n=1

A: We have to plot the first four terms of the given sequence.   According to our guidelines we can sol...

Q: V. Show that: 1. [(cosx-sin x)'dx = x+ cos 2x +C 2.

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Q: Express the general solution of the given differential equation on the interval (0, 0) in terms of B...

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Q: Bessel's Function Find Jg (x), JE cx)

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Q: 2 Find all local extreme values of f(x) = a – 5a? + 8x – 50. 3 The FIRST local extreme value, moving...

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Q: Calculate the Taylor polynomials T2(æ) and T3(x) centered at a = 2 for f(x) = : T2(x) must be of the...

A: Given function is f(x)=11+x and we have to find T2(x),  T3(x) centered at x=2. Taylor polynomial T2(...

Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the qua...

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Q: k. Evaluete the given limib

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Q: Q1:A/ Find the absolute maximum and minimum values of f(x) on the given interval. and local points I...

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Q: The value of | 1/a da is O e+C O +C O a 2 + C O In(r|) +C O None of the others.

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Q: Solve for t e2t+ 4et + 4= 0 e2−4t + 5 = 20

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Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. In (n + 4)...

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Q: х-2 Determine lim x→2- 2-V4x-x²°

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Q: E. Discuss the continuity of the function g(x) = on the interval (0,2] and [-1,3]. x2-4

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Q: Detemine the x- values at which, g(x)= 2x-3x²+x 2x3+5x²-3x is undepined. Evaluate the limit ac x=8 u...

A: To find: The value of x at which g(x)=2x3-3x2+x2x3+5x2-3x is undefined also evaluate the limit as x=...

Q: Find the differential of the function. et e - 2 dy =

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Q: Find the derivative of the vector function below r(x ) = sin²(sec.x 2)i +csc³(Vx ² +1) j +8tan(x -k

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Q: 19-42. Limit proofs Use the precise definition of a limit to prove the following limits. Specify a r...

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Q: Evaluate the integral. -2x dx 19 x e NOTE: Enter the exact answer.

A: Integrate it by parts.