уто ņx=-5 O SONGS & + 10 9 7 6 5 4 012345 -10-9-8-7 -6 -5 -4 -3 -2 -10 -2 -4 1) lim f(x) = x-(-4) Explain what the limit tells you 2 2) lim f(x)= x→(-∞) Explain what the limit tells you 4 5 6 7 8 9 10 11 12 13 14 15 points. Given the graph of f(x) has a vertical asymptote at x = -5 and horizonal asymptote at y = 0 Find the following limits then explain the limit notation and what the limit is telling you. 6.

Q: a) Find the limits of the following functions: 1. sin 2x lim- x-2x²+x lim √x² +12-4 x-2

A: SOLUTION-

Q: 2. Determine the regular monthly deposit required to accumulate $10,000 in 5 years at an annual…

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Q: Given s(t)=t² + t, find (a) v(t). (c) the velocity and acceleration when t = 4. (b) a(t). (a) v(t) =…

A: Concept: The instantaneous velocity at a given time is the derivative of a function that represents…

Q: Compute the average rate of change of the given function over the specified interval. f(x)=x^3,[6,7]

A: Given query is to find average rate of change for the interval [6,7].

Q: في Lim X-1 X1 X²-1

A: Hint : Factorise denominator

Q: (b) y = √2-3x

A: y=2-3x

Q: Find the equation of the line tangent to the curve f(x) = 4x² - 6x +39 at x = 1.

A:

Q: A function is given below. Determine the average rate of change of the function between t = 2…

A: Given function, f(t)=7t   from t=2  to t=2+h

Q: 4 + 12--104 X

A: -9x + 12 -10 + x Separate the variable and constant

Q: 3. X+Y)/4=5Z

A:

Q: Kendra bought 188 donuts for $160. Her profit was $40 once she had sold 100 donuts. Which equation…

A: Find profit

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Q: Find the domainof the function. Give the result in interval notation. f(x) = 7/1−2e^x

A: Given function f(x)=71-2ex

Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 8x − 3 f(2x)  =…

A: We have to slove above questions

Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

A: I am attaching image so that you understand each and every step.

Q: State the domain of the following graph. 46 55 14 D (1.2.3.3.4.5) KD) (-2,-1.0.1.31 is 0.1.21 44 H(5

A: what is domain of function ? here graph is given  domain : input value of function here x is input…

Q: Find the domain of the rational function.

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Q: Describe all the x-values at a distance of 15 or less from the number 10. Enter your answer in…

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Q: - - Find the cross product (-2i - j + k) × (3i − j − k). Answer:

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Q: Determine the range of the linear relation graphed below. -4 - y≤ 5 ⒸV-3 V> 3 --- -2 -1 6- 5- 4 3 1-…

A: Maximum value of y = 5

Q: Find the area of the parallelogram with vertices: P(0,0,0), Q(-4,-5,4), R(-4,-3,6), S(-8,-8,10). 0

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Q: 6a + 24 3a-24 2 으 - a -16 a ²-2a-48

A:

Q: (x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

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Q: On the graph shown, what is f(2)? Y 000 -1 02 3 CJ 7 4 C-C x

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Q: The table represents f(x) and the graph represents function g(x). Which of the following could…

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Q: f(x) = √8x-6, g(x) = x² - 16, (f + g)(x)

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Q: A sphere is tangent to the x-y plane, the x-z plane and the y-z plane and it's center is the first…

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Q: Express the following functions in the form utiv • f(Z) = ln (1+z) P

A:

Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. Let R be the region bounded by y=-, the x-axis, x = 1, and x = b, where b> 1. Let D be the solid…

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Q: Write the equation of the line in slope-intercept form that passes through the points (-1,5) and…

A: Given query is to find the equation of the line in slope intercept form.

Q: constant, then find the value of M. Find all the roots of 2x³-8x² +16=0 when x = 2 is one of the…

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Q: Graphs of f and g are shown. Is f even, odd, or neither? even f odd neither Explain your reasoning.…

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Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: 18. Use Cylindrical shells method to find the volume of the solid that results when the area of the…

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Q: For the function defined as follows, find a. f(x + h), b. f(x+h)-f(x), and c. [f(x +h)-f(x)] /h. 11…

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Q: 9. State the domain of [fogl(x) for f(x)=√x - 2 and g(x) = 3x.

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Q: 2x The function y=x+C₁+C₂e-²x is the solution to the Differential equation y"+y'-2y=1-2x IF TRUE,…

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A: The graph of the function fx is given by The table for the function gx is

Q: EXS- Find the roots of the following eq.: 2¹ - 22²4+4=0 Sol 8.

A: Roots

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Q: Find a nonzero vector normal to the plane z − 5(x − 1) = −2(3 — y). - -

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Q: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers /2…

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Q: of the shaded region. y = x² - - 15 x (-4,-4) 20 10 -10 - 20

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Q: 25. Sa 2x²-10x +4 (x + 1)(x-3)² dx

A:

Q: 342. f(x) = x² In9x

A: We can solve question no 342 in the below steps.