Suppose thatƒ and g are functions such that lim f(x) = 9 x →4 lim g(x) = 4 Evaluate the following limits. If a limit does not exist, enter "DNE". lim (f(x))² = lim – 3f(x) – 4g(x) = - x →4 f(x) lim x→4 g(x) lim 9(x) x →4

Q: Find the vectors T and N and the binormal vector B = T × N for the vector-valued function r(t) = ti ...

A: first, we will differentiate the vector r(t) we get  r'(t)=i+2tj+t2k doing the modulus we get  r'(t)...

Q: If tanA = (5/12)  Then find the value of (sinA+cosA) secA

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Q: Given f(x) = x+6 and g(x) = \/----                                                        X+7 determ...

A: Given f(x)=x+6    and  g(x)=x+7we have to find domain of f(g(x))  and domain of g(f(x))

Q: - 5q + 800q, where C(q) is in dollars and q is the Suppose a product's cost function is given by C(q...

A: Given that Cost function is  Cq=-5q2+800q   The marginal cost is given by  MCq=ddxCq  

Q: Let a = . Find Ja]. - 2, 2,1 >. Find lä].

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Q: i have this example in calculus 2 trying to solve

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Q: Evaluate the limit 1 1 - (3+y)? 2 9 lim

A: Explanation of the solution is given below...

Q: Suppose that R is the finite region bounded by y = x, y = x + 3, 0, and x 1. Find the exact value of...

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Q: Evaluate the following integrals 2x² – 9x -9 dx x' -9x 19 (a) (2m – 3)(3m +5)"dm (b) 14

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Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship...

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Q: Solve for x where 0 <x < 2n. a) cos (a + ] V2 sin æ b) 5 cos? x – 13 sin x +1 = 0

A: a) The given equation is cosx+π4=2sinx. Solve the above equation as follows. cosx+π4=2sinxcosx cosπ4...

Q: Explain the difference between positive and negative angles.What are coterminal angles?

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Q: dy Let xy = 3 and dt 1. da Find when x 3. dt

A: Explanation of the solution is given below....

Q: Find f(x) and g(x) such that h(x)=(f•g)(x). h(x)=(6-5x)^2 Suppose that g(x)=6-5x f(x)=

A: Using composition function we have

Q: p = - 2² + 90x – 1400 is a profit formula for a small business. Find the set of z-values that will k...

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Q: Solve it asap.

A: To find the limit value

Q: Find lim f(x) Find lim f(r) Z+3+ Find lim f(x) Find f(3)

A: From the given graph we can conclude, limx→3-f(x) = Does Not Exist,  Because graph of f is oscillati...

Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and pa...

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has vert...

Q: Find the value of the integral ∫0 to 1 (1/ 1+?) ⅆ?a) ?/2b) ?/4c) 3?/4d) None of the above

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Q: Evaluate ∫0 to 4 (x/ (x+9)) dx? a) 1/9 ln 13 − ln 3b) 4 − 13 ln 9 + 3 ln 18c) 13 − 9 ln 13 + 9 ln 9d...

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Q: Use f(x) and g(x) to find each composition. Identify its domain. (Use a calculator if necessary to f...

A: To find fog(x),put value of g(x)in f(x). For gof(x),put value of f(x) in g(x). For fof(x),put value ...

Q: Evaluate the limits.

A: 7) The limit limx→35x2-16x+39-x2  can be evaluated as, limx→35x2-16x+39-x2  =532-163+39-32          ...

Q: Evaluate the limit 1 1 15 lim x → 15 15

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Q: A distribution has Mean of µ = 100 and Standard Deviation of ? = 20. Use Chebyshev’s Theorem  to det...

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Q: Evaluate the integral.  integral cos  - 6  x  dx

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Q: Write the standard form of the equation for the circle with center (-2,5)and radius √11. Graph the c...

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Q: Find the exact value of the expression sin2 π/2 + cos π. Do not use a calculator.

A: Find the exact value of the expression sin2 π/2 + cos π.   

Q: need help answering question #2(a), #2(b), and #2(c). Make sure to really explain and work the probl...

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

Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

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Q: Let a = - 4i – 33+ 3k and b = 4i – 33+ 2k. Find a – 36.

A: given   a→=-4i→-3j→+3k→    and  b→=4i→-3j→+2k→ we have to find a→-3b→

Q: Enter each answer as a whole number (like -4, 0, or 253) or DNE for undefined or Does Not Exist f(9)...

A: From the given graph, we can conclude, f(9) = DNE, Because f(9) is undefined in the graph.

Q: lim (z,y) → (0,0) 7x5 + sin y 4x5 + y5 Find the limit along two different paths. No decimal entries ...

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Q: Write the first five terms of the sequence and find the limit of the sequence (if it exists). Assume...

A: Here we have an=(3n-2)!(3n+1)!  

Q: The Graph of the curve y=1+50sinx/(x2 +3) Looking at the graph, it’s clear that the function has thr...

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Q: Let f(x) = /x. Does f(5+ h) equal 5+ h or /5 + /h? Compute the difference quotient at a = 5 with h =...

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Q: A water sprinkler sprays water over a dentist of 45 feet while rotating through an angle of 140. Wha...

A: Given,  R= 45 ft Angle = 140°            = 7π/9 (in radian)    Bow,  Area of sector = 0.5×(7π/9)×(45...

Q: Solve it asap.

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Q: .5 .2 x° + 6,000x² + 1,000,000 lim 5x5 + 5,000x² X→-0

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Q: Find the following limit. t2 – 2t – 35 lim t+7 t - 7 answer = <

A: Given: limt→75t2+t-2,t2-2t-35t-7,4·cos(t) Simplifying it, we get: =limt→75t2+t-2,t2-7t+5t-35t-7,4·co...

Q: Find the midpoint of the line segment with the given endpoints (-2, -1) and (-8, 6).

A: Consider the line segment with the end points (-2, -1) and (-8, 6)  

Q: The equations below is true for all values of x except x cannot equal 2/a, where a is a constant. Wh...

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Q: Objective [1.8] df If f(x) = x · e¯0.12, find z=2. dæ

A: Given,         fx=x·e-0.1x

Q: Solue the inew ua lity 12zx+5]z/2-Sw show also He setls) . Soution neimbe8 Line

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Q: Ryan must take 200-mg of a certain medication every 10 hours. The graph shows the amount f(t) of the...

A: Ryan must take 200 mg of certain medication every 10 hours limt-&gt;10-f(t) To find out the limit , ...

Q: 11

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Q: Use the formula for nPr to evaluate the expression 8P5.

A: To findP58

Q: 6x + 81 – 9 - Evaluate the limit: lim x →0

A: =?  

Q: 1 b) Find the Laplace inverse transform of (s-4)(s-9)

A: Consider the given function 1s2-4s2-9. Note that, 1s2-4s2-9=120s+2-120s-2-130s+3+130s-3. Then, L-11s...

Q: Let f(x)= -2x-1 and g(x)=x^2-5 Find (f•g)(1) simplify

A: Given that  f(x)=-2x-1        and         g(x)=x2-5 We know that composition function is defined as ...

Q: b) Solve the differential equation. First check whether it is exact or not exact? (xy + 4y?)dx – (x²...

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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.