i) lim -5n° (n² –100)]= %3D

Q: a) By using the graph of function y = cos x, graph the function y =- cos (3x +) x-8

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2 cos(4x) – 4x2 – 2 lim - I→0 sin(2x)- x2 - 2x

A: We have to evaluate the limit limx→0 2 cos(4x) - 4x2 - 2sin(2x) - x2 - 2x

Q: nction 'a' is 1+eaz at its pole

A:

Q: = - 1) ex²-x dx x. Use the substitution method to rewrite the function in the integrand, (18x – 1)…

A:

Q: Find the length of the graph of y = (1/2) cosh 2xfrom x = 0 to x = ln 25.

A: Length of the graph y=f(x),a<x<b is given by L=∫ab1+dydx2dx Here,  y=12cosh 2x⇒dydx=122sinh…

Q: In( cosh(9x) - sinh(9x) ) - In( cosh(10x) + sinh(10x) ) = Select one:

A: Solution: The objective is to find the value of the given expression

Q: 2. A hemisphere of radus 12 nches and base up is full of water that runs out through an orifice of…

A: Dimensions of a hemisphere tank are: Radius R=12 inches or 0.3048 mHeight of tank H1=Radius of tank…

Q: 1-sin t lim 1+cos 2t t- 2

A:

Q: cos x ln(x - *) *-+ In (e-e*) 6. lim

A: Topic:- limits calculus

Q: Find the limits

A: Given: Function  To Find: Limit of the function at the given point

Q: 1) lim y-4 x+6x+5 2) lim 2-3x-4 t+3t2-12t+4 sin3h-2h 3) lim 4) lim 3-4 gin

A:

Q: What is the photon frequency (Terahertz = 1012 Hz) needed to move an electron in 1 to a higher…

A: We will find out the required value.

Q: can you prove it, please ? cosh 2x=sinh^2x+1 = 2 cosh^2-1

A:

Q: ,3x lim x→0 CO cosh(Зa)

A: By substituting cosh(3x) in givenimit we can get the required value of Function.

Q: (5tan28 etan 28 sec² 2 Bd B

A:

Q: 16 |how do you express limn→0 0 Li=1 - (5+ £)9/ as п definite integral

A:

Q: X-2X-5= 2X-5-0 L2,3] Ans 2,0946 false pes;ti'oh Method

A:

Q: Find the limits

A:

Q: e) lim 1-cost sin²)

A:

Q: sc 2x - cot 2x = 0 1 sec²x

A: We can find the answer as below.

Q: 2y-n у-п lim п cos y y-

A:

Q: Limi Delermine wbikr Hi Lim 3z4

A:

Q: A cable hangs between two poles of equal height and 24 feet apart. Set up a coordinate system where…

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Q: lim * In(sec(2x)) x→0 (sin(3x))³

A: To find the limit.

Q: 9. Solve tan x for x where 0<x<90* V3 Enter your next step here

A: Just observe that its value of tan(30°).

Q: (b) Use the model from part a to determine number of bacteria, rounded to a whole nun after 2 hours:

A: we have to find

Q: 3 lim z? sin(-

A:

Q: sin a COS T Solve by hospital rule lim-

A: after solving we get limit is 1/3

Q: 2.. lim ay

A: We find limit of given function

Q: lim + sec"() TT

A:

Q: sin(4z) 7. lim I-0

A:

Q: 3x2 lim x→0 cos(2x) – 1

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Q: tan" -1 I# Z-X FEMD fyx At (-,1).

A: The solution for the above question is as shown below.

Q: 5. Evaluate | (x² +1)* dx using trigonometric substitution as your first step (not a u-sub as your…

A: The solution is given below in the next step:

Q: sin z coS T Q1-Solve by hospital rule lim

A:

Q: lim E(cos (27x;))Ar over [0,5] COS i=1

A: The definite integral is defined as  ∫abf(x)dx=limn→∞∑i=1nfxi*ΔxWhere, Δx=b-an, xi*=a+iΔx The…

Q: A rectangular box is to have a square base and a volume of 20 ft. If the material for the base costs…

A:

Q: 2-t+ sint 45. lim t+ cos t

A: We have to find he limit: limt→-∞2-t+sin tt+cos t

Q: sec2x-2taпх lim X→T/4 1+cos4x

A: Consider the given limit limx→π4sec2x-2tan x1+cos4x   limx→π4sec2x-2tan x1+cos4x=00 Which is…

Q: et Lim x-0 +e³-x²-2 sin² x-x²

A:

Q: 1 lim, (e** - 1)sin-+9cos x . x0

A: Given: limx→0ex2-1sin1x+9cosx we know that  limx→0ex2-1=0 and  limx→0sin1x=-1 to 1 so,…

Q: (1) limr-(n/2)-(tan x)cos x (2) lim,-o x-3(tan-x-x) (b) If у %3D 4u?-Зи + 2 %; и 3 е* + 2e2х, find…

A: For other questions reupload according to bartleby guidelines

Q: Find the limits

A: Given,                     lim(x,y)→(0,ln2)ex-y     And we have to find its limit.

Q: 5-7 -1 Using quotient rule, show-that d [cotx] dx 2. 1+x

A:

Q: 1. lim 3r+2r+1 X-n Sx2+7x+4 2. lim +sinx

A: See 2nd step