구 6 -4 -8 -7 -6 -4 -3 -2 2 3 6. -2 -3- -4 -5- -6 -7- -8+ lim f(x) = x→ - 3+ Enter the limit. If the limit is oo, enter oo. If the limit is – 0, enter -oo. If no limit exists, enter DNE.

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A: This question is based on hyperbolic sine function and linear approximation of a function at a point...

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A: (a) From given table

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A: Given that: limx→0tan32xx3

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A: We need to find dimension of an open box that maximizes the volume.

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant ) ...

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Q: Evaluate the expression. 3 4 O A. -81 O B. 81 Ос. 81 1 O D. (-81)

A: We can find the answer as below in simplified form.

Q: Using the attached graph, sketch the derivative. Graph of polynomial f(x) 2 6. -1 -2 -3 -5 -6

A: See the graph whereg graph is increasing f'(x) will be possitive that means it Will be above from x ...

Q: In | lim x |

A: We can solve the limit as below 

Q: Find lim (x,y,z)-(0,0,0) x²+y2+z4 xy+yz?+xz2 if it exists, or show that the limit does not exist.

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Q: b) Suppose that f(x) 1 if x is negative. Can ƒ be continuous at x = 0?

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Q: 10) Find lim [ g (x-2) / f(x) ] = _ A) 3/ 7 B) 1 C) 7 D) 7/ 3 lim g(8x-f(x+2)) = X 1 11) Find A) 1 B...

A: We have to find the value of the limit                                  limx→3g(x-2)/f(x)       and ...

Q: In Exercises 11-18: (a) Find the domain D of the given function. (b) State whether D is an open or c...

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Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: Evaluate the integral: /V13 – 49a*dæ

A: Integration

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

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Q: If * = 2 tan(0), then a. cos(0) Vx2 + 2 Ob. cos(x) = Vx2 + 4 c. sin(8) = Vx2 +4 O d. cot(0) 2 е. sin...

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Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Let's find. 

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A: This is an exponential function. 

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Q: 10. There is a jump discontinuity at x = 1 and lim f(x) = 1 x →1-

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Q: How much money must you invest now at 4.5% interest compounded continuously in order to have $10,000...

A: We know continuous compounding formulaP(t)=P0ert where value at time t P0=principal amount r= annual...

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Q: in your own words, discuss the relationship between the slope of the tangent line, the derivative of...

A: slope of the tangent line, the derivative of a function using the limit process.

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Q: 4dt 5t+ 2

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