Find lim f(x) r→-5

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Q: The annual world consumption of silver is predicted to be 22.3e0.01r , thousand metric tons per year...

A: Find your answer below 

Q: 1. Given f(x)= (a) Show that f'(x)= 2(x² -16) 3x by using the quotient rule. Hence, find all 11 the ...

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Q: T – 8r – 9 22. Evaluate 4 7² – 8x – 9 *xp: a. cosh -1X – 4 + C. sinh-1t – 4 +C b. 4 cosh -1x - 4 +C ...

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A: Since u denotes the temperature of an object, dudt ∝ (u - ua)dudt = - k (u - ua)(Negative sign impli...

Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above discussion...

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Q: 4 SET UP AN INTEGIUL fonila fen SUifACE Arfer BounDED By Y=x-2y, x-C , Y=3, Auo x 20 CHEN ReTATowh A...

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Q: A. Each week, Adriel buys cheese (C) and sausage (S) which provides him a utility of U= 6th root of ...

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Q: Evaluate the following: 1. S(6x² – 4x + 1) dx

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fx...

Q: So* - y-³) dy 2.

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Q: Evaluate the following integrals. 1. 4.x3 sec-1 æ dx cos VT dx x Csc Vx 2. dx V4x – x2 3. -

A: Given problem:-

Q: ax2ª(x2a+1)°dx

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Q: If r(t) = , then unit tangent is a _______ , principal unit normal is a  ____ , and its curvature is...

A:   Given: r→(t) = ln t, ecos t, t2  

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Q: A fuel tank is being designed to contain 200 m3 of gasoline, but the maximum length of a tank (measu...

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Q: 1. For the polynomial function P(x)= x' - 2x – 33x+10 (a) Describe the end behavior of P. Use notati...

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Q: Solve the given initial value problem. 4x'y+ y2 2x4 + 3xy dy y(2) = - 1 dx O xty? + xy = 14 O xty? -...

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Q: 1 dx x/1+ x6

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Q: 2. Explain how we know the function f(x)= 2.x is one-to one. Then find the inverse function f. x- 3

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Q: The graph of f (x) is shown below. Which of the following statements are true? 7- 6- 4 %3D %3D -7 -6...

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Q: Use technology to evaluate the given expression. Take 1.6 7.3 1.4 -2.39 5.1 A = and B = 5.5 0 44.8 1...

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Q: 2 SET UP AN INIELLAL foRmULA fer Tte VOLume uf THE ScaO 2 C-ÉNELATEN UHEN THE RACIION BOUDEO BY Y=x,...

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Q: Use any method to determine whether the series converge. 1 (a) E 'k² + 15k + 1 This series diverges....

A: To check the convergence of the given series.

Q: S(x+ )´ dx 2 1 X X.

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Q: ax ve

A: To evaluate: I=∫dxex...(1)

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A: We have to solve given differential equation.

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Q: Given the function f(x) = 2x + 3, find and simplify the following values: f(a) = f(a + h) = f(a + h)...

A: The given function is; f(x)=2x+3.

Q: Question 7 Evaluate | (6x² – 3x2 + 5) dx (A x3+ 3x-1+ 5x+ C B 2x3+3x-1+5x+C 2x3+ 3x -1+x+C 2x3+x-+5x...

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Q: sin xV1 cos xdx

A: ∫sinx1-cosx dxSubstitute t=1-cosxt=1-cosxDifferentiatedt=sinx dx

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: Let's find. 

Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do...

A: Let's find. 

Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

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Q: dx Ve ve

A: Integration

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Q: FValua te!- D కో బాషా 2ax-x2 a

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Q: 8. Solve for all sides of the triangle. 12 40° 95 A

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Q: If a curve f(x) has = (y – 1) (2+ x) and passes through the point (-1,2), then what is dx the equati...

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Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated list...

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Q: Solve the given differential equation. All solutions should be found. dy 3a? - 8y -y 8x+3ry dx NOTE:...

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Q: Find torsion of the motion r(t) = . Leave your answer correct to two decimal places.

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Q: *Introduction to Derivatives (x²+2x-3 Using the 3 conditions, show that f(x) = 4 if x#1 is both cont...

A: Differential function is always contious bt Converse is not true