a. f(x) = x/3 b. gx) — ху/4 с. hох) — х 23 d. k(x) = x1/6

Q: True or False: If the limit of g(x) as x approaches 2 is equal to 7, then g(2) must equal 7.

A: Limit of a function g(x) exist if  Limx->2+ g(x) = Limx->2- g(x)  

Q: Linear approximationa. Write the equation of the line that represents the linear approximationto the...

A: a). Differentiating f(x) with respect to x, we get Now, Hence equation of a line that represents t...

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Q: A plane is flying at a speed of 400 miles per hour on a bearing of N50°W. The wind is blowing at 30 ...

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Q: The function f(x) =(6.5x2 - 20.4x + 234)/(x2 + 36)models the pH level, f(x), of the human mouth x mi...

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. Reme...

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Q: Find the equation of the tangent line to f(x) = x^2 −3x+5 at the point x = 3.

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Q: In this example we considered the function W = f(T, v), where W is the wind-chill index, T is the ac...

A: Consider the given information.

Q: 7 Use the power rule to find the derivative of f(x) = x f'(x) =

A: Power Rule: The power for the derivative of the function xa is given by, The given function is f(x)...

Q: 5 25 Find the slope of the line tangent to the curve y =x at the point and then find the correspondi...

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫tan-1 x/x2 dx

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Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl = ...

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Q: The demand function for a commodity is p=13.25/1+0.01x, x is greater than or equal to 0. Where p is ...

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Q: Find the equation of a line that is parallel to the line y = 17x and contains the point (7,- 5). The...

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Q: Find the directional derivative of the function at the given point in the direction of the vector v....

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Q: Rewrite by completing the square. 2x2  -12x +11

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Q: find an equation for the plane tangent to thelevel surface ƒ(x, y, z) = c at the point P0 . Also, fi...

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Q: Greg spent $47.45on five books.if each book cost the same amount, how much does one book cost?

A: Here the objective is to find the cost of one book.

Q: ((x-1/4y-1)-3)/ (x5/4y0)

A:

Q: 4. Find the distance from (1, −4, 9) to each of the following. (a) the xy-plane (b) the yz-plane (c)...

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Q: (b) Use the result of part (a) to find the direction in which the function f(x, y) = x³y - x²y4 decr...

A: Given:

Q: Find all the second partial derivatives. T = e-4r cos(0)

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Q: How can I solve this differential equation? (x^2+1)(dy)/(dx)+y^2=-1, y(0)=1

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Q: Find the derivative of the function. y = sec 2  x  +tan 2 x

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Q: I have trouble finding answers for the first fourth and fifth questions.

A: Given  The curve  y =√(x) +3   The points P(16,7)  and Q( x ,√(x) +3 )   

Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

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Q: Test r2 = 9sin 2θ for symmetry and then graph the polar equation.

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

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Q: Find all zeros of f(x) = x3 + x2 - 5x - 2.

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Q: Can i get the answer through graph with solution if possible. Thank you very much in advance!

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Q: Find and simplify the difference quotient [f(x + h) - f(x)]/h, h ≠ 0 for the given function : f(x) =...

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Q: The speedometer reading (v ) on a car was observed at1-minute intervals and recorded in the chart. U...

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Q: Use the FOIL Method to Multiply: (3x + 4)(5x - 3).

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Q: The cost of renting tuxes for the Choral Society's formal is $27 down, plus $87 per tux. Express the...

A: Given  The cost of renting tuxes for the Choral Society's formal = $27  plus $87 per tux.

Q: The Armstrongs wish to establish a custodial account to finance their children’s education. If they ...

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Q: Find the complex fifth roots of 32. Write roots in rectangular form. If necessary, round to the near...

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Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals...

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Q: Evaluate lim t→0 3+t^2 sin⁡(t^3+2/t^2) using limit laws. Give reasons for your answer.

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Q: Question:Evaluate the integrals. Note: Please, solve the question step-by-step.. kindly, dont write ...

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Q: Acme Car rental agency charges $4 a day plus $0.15 per mile, whereas Interstate rental agency charge...

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Q: Sketch the vector v = -6i - 2j as a position vector and find its magnitude.

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Q: i am not sure what i should do after rewriting the expression

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

A: The graph of the region is as below:

Q: e-x   is represented as an infinite sum ∑ ∞  n=0 ,  anxn a.   a0= b.  a1= c.    a2= d.   a3= e.   a4...

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.