02 3 What is lim f(x) for the function f, defined as f(x)= x-1 Does not exist X-1 √x-1 x²+x-2 X-1 if x < 1 if x > 1 ?

Q: lim x→→3 x³-7x-6 2x³-11x²+12x+9 ³√x -1 lim X→1 X-1 sina sin 2α lim a-0 1-cos a

A: To evaluate the following limits.i limx→3 x3-7x-62x3-11x2+12x+9ii limx→1 x3-1x-1iii limα→0 sin α sin…

Q: Calculate the integral of f(x, y, z) = 3x² + 3y² + zª over the curve c(t) = (cos t, sin t, t) for 0…

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Q: For what values of b are the vectors (–88, 6, 7) and (b, b², b) orthogonal? Answer (separate with…

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Q: Let a, b, c and y be the three dimensional vectors à = 3j+4k, b=i+6j+2k, č=4i-8j, ÿ=−i+ Perform the…

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Q: 1. 3. 2. y 4.

A: If in a graph of a function a vertical line at any point of graph intersect a curve more than once…

Q: Factor the trinomial completely. 4s² - 22s + 10 Select the correct choice below and, if necessary,…

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Q: Which of the ff double integrals has bounds that represents the Region A a. b. y [ -6 y = 2x [ f(x,…

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Q: Determine whether the geometric series is convergent or divergent. n=1 convergent O divergent If it…

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Q: eate a table of integer values for x = -2 through x = 2 for _x)=x²-5

A: Topic:- calculus

Q: Determine the average rate of change for the function f(x)=x+3x+4 on the interval 2≤x≤4.

A: Answer is in next step .please give a like!!

Q: Plot the point(s) where tan = Clear All Draw: √3 3

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Q: Felicity runs her family's small cupcake shop, which designs and bakes cupcakes in different…

A: Given   Cost of processing (per Cupcake) Maximum total Cupcakes (per Day) Machine 1 €0.20 100…

Q: If r(t) = −4ti + 6t²j – 4tk, compute the tangential and normal components of the acceleration…

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Q: 24. lim xsin- is 110 (A) 0 in(s (B) ∞ (C) nonexistent (D) - 1 (E) 1

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Q: For the following set of numbers 3,5,0,1, find the value of each expression: X ouw IX 3 5 0 1 ΣX =…

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Q: x³-7x-6 lim x→→3 2x³-11x²+12x+9

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Q: Determine s' (x) ifs (x) = x-7 + e-8a O s'(x)=x6 - e-8x O s'(x) = -7x-8 - e-8x-1 O s'(x) = -7x-8 -…

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Q: Convert the angle 360° to radians.

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Q: 2. A 400-gallon capacity tank initially contains salt solutions consisting 150 gallon of water and…

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Q: Determine the interval in which the function is decreasing for y=2x^3-9x^2-24x-10 without graphin.…

A: You can  use the first derivative to find intervals of increase and decrease and accordingly write…

Q: Ifq (x) = log5 (6x³+4x²), find q' (x). O log5 (18x2 + 18) 18x² + 8x (In (5)) (6x³+4x²) O O 18x² + 8x…

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Q: Let -2x² + 6x - 3 for x 0. According to the alternate form of the definition of the derivative, to…

A: We will use properties derivative.

Q: Which of the following functions are even? i) f(x)=-x* ii) ƒ(x) = ²/12 x -()* iv) f(x) = log₂x v)…

A: Here we have to choose the correct option.

Q: The graph of f is given. Draw the graphs of the following functions. (a) y = f (x) − 2 (b) y = f (x…

A: We have to draw the graph of given function.

Q: The angle between 0 and 27 in radians that is coterminal with the angle 41п 5 radians is

A: We can find the answer in the following steps.

Q: y = C₁ cos(2x) + C₂sin(2x)

A: Given: Now,      y'=c1cos2x+c2sin2x' =-2c1sin2x+c2cos2x· 2y''=c1cos2x+c2sin2x'' =-4c1cos2x-4c2sin2x…

Q: Question 4: Write the equation of a quadratic function that has been shifted four units to the…

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Q: A function f has domain [−5, 5] and a portion of its graph is shown. (a) Complete the graph of f if…

A: A function f(x) is called even if f(-x)=f(x) and called odd if f(-x)=-f(x).

Q: 6. Determine the number of roots, counting multiplicities, of the equation in the annulus 1 ≤|z|< 2.…

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Q: ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u…

A: First we find value of parameters u and t .

Q: (b) (c) у f(t) f(t) 0 2 Find the period? " 5 2 #Xx 0 23 5 6 8 7 8 t (ms) 10 period period=

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Q: In the triangle below, compute the tangent of theta 0 12

A: Topic:-  trigonometry ratios in right angle triangle

Q: A truck with 46-in.-diameter wheels is traveling at 60 mph. Round answers to 2 decimal places as…

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Q: Find the line integral with respect to arc length (a) Find a vector parametric equation 7(t) for the…

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Q: For each of the following, perform the indicated operations on the vectors à = 4j+3 k, b = −2i – j−…

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Q: 21. 22. 23. 24. 25. lim xcscx is x10 (A) - 88 2x² +1 lim X41 (2-x)(2+x) (A) - 4 |x| lim x10 (A) 0 1…

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Q: cos (5x)cos (3x) dx cosh' (In x) sinh (In x) (A) (8) - (C) 0 (D) 2 1

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Q: Consider the function f(x) = 4x - x² and the point P(1, 3) on the graph of f. (a) Graph f and the…

A: Consider the function fx=4x-x2 and the point P1, 3 on the graph of f.a To graph f and the secant…

Q: The angle between 0 and 360° that is coterminal with the Question Help: Post to forum Submit…

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Q: n¹(tan(-)) 215. tan

A: Given problem:- tan-1tan-π6

Q: 3. Let w = 3-3i and z= -2+2√3i. (a) Express w and z in polar exponential form. (b) Express (wz)10 in…

A: The given complex numbers, w=3-3i and z=-2+23i To find w and z in polar exponential form.

Q: .Determine whether the sequence converges or diverges. If it converges, find the limit. (If an…

A: Given data:- The given equation, an = n2e-7n

Q: Assume Cabot company produced 2,116,184 cans of paint in August. Cabot sold 2,011,454 of these cans.…

A: Solution:- Given that:- Total cans produced = 2,116,184 Sold cans = 2,011,454 Topic:- Basic Algebric…

Q: 3 5 10. Evaluate 32 a) 2 b) 8 င) 8 .. d) -8 ထု

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Q: Determine the values of p for which the integral (x-4) s improper (A) p1 (p=0 (D) p=1

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Q: Convert D 2 T from radians to degrees: 3

A: Topic = Trigonometry

Q: 2:51 1 Search 21. lim xcscx is (A)-. 22. 23. lim 24. 25. lim (A) -4 2x² +1 (2-x)(2+x) x0X (A) 0…

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Q: A frustrated office worker throws his laptop out of his business's rise office building. The height,…

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Q: The unit vector of = [5, 13, 7] is: ( 5 13 0(5) 07 5 0 ਦੀ s, ਹਨ) √455' √455 7 455 93 ' v3 / Vi

A: We can find the answer in the below steps.

Q: 2. An object is placed in a room where the temperature is kept at a constant 60°F. The object cools…

A: An object is placed in a room where the temperature is kept at a constant 60°F.The object cools from…