Prove the following identities. sin 3x v 3 sin x - 4 sin cSC X - 2 sin 3 sec x - 4 sin

Q: Find the volume V of the described solid S. The base of S is a circular disk with radius 4r. Paralle...

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Q: Use the associative property to express : 1 10 +. 5. 3 10 3. 1 2 10 3 (금+루) O. 10 7. 3 10 1 7. 3

A: Associative property  of addition . (A+B)+C =  A+(B+C)

Q: [3 1 B = [4 3 1] [1 21 and C = 3 4 Compute ABC if A = 11

A: Given:- A=12-13 , B=312431 ,C=123410 To find:- ABC

Q: Integral of | 4sinxcos cos |dx 1. J sin 9x cos4x dx J cos 2x cos (-x)dx 2. 3.

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Q: et sin x | lim x → 0 18 cos x 18 (Use calculator and write your final answer in the given box)

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Q: Pivot once as indicated in the given simplex x, tableau. Read the solution from the result. X2 51 3 ...

A: Given : The simpex tableauTo find: The solution from the resultx1=  , x2=   , x3=   , s1=   , s2=   ...

Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5q + 6000. ...

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: Given ∫1xx6+1 dx Substitute u =  x6 + 1→dudx=3x5x6+1→dx=x6+13x5 du =13∫1u2-1 du Now solving ∫1u2-1 d...

Q: Find the Taylor polynomials of orders n = 0,1.2,3, and 4 about x = x9, and then find the nth Taylor ...

A: f(x)= e ax f0(ln 7)= 7a   f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a   f' ' (x) =ea x a2f' '(ln 7) = ea ln...

Q: 1. | e cos(2x) dx

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Q: Find y' by implicit differentiation 1. x³+y³=6xy 2. x²+y²=4

A: Question 1,Given,           x3+y3=6xyTo find : Find y' by implicit differentiation.

Q: The graph of the function f is shown on the graph below. On the axes beneath, sketch a possible grap...

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Q: Odr + (2r +1– Or) d0 = 0

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Q: Sun. Mon. Tues. Wed. Thurs. Fri. Sat. number of births 13 24 19 25 15 21 15 probability...

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Q: A. (1+ 4xy – 4x² y) dx + (x² – æ³) dy = 0 | - B. (y – sin? x) da + sin æ dy = 0

A: A detailed solution is given below 

Q: use Substitution method to Schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: Given:   3x-2y+1dx-x-2y-3dy=0

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + at

A: Given:To Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + atSince  we know that, number of independen...

Q: 16-X - 13 - 13 10-x x E 10 = 3.66 m

A: Given: 10-xx=3  ..1

Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A:   ---------------------------------------------------------------------------- Key points: If f'x  ...

Q: 13. The cost of a data plan is $45 a month, plus $0.40 per gigabyte of data downloaded. Let f(x) be ...

A: Given: $45=fixed Cost of data plan$0.40=variable cost of data per gigabyte or gb$2=fixed part of con...

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 2. y = (x2 – 3)2

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Q: Find the derivative of the following functions using the long method (limits) (a) x =t-5t- 3 (b) y =...

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Q: Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places acc...

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Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

Q: 8. Find the limit, if it exists, or show that it does not exist: 2х-у a) lim (x,y)→(1,2) 4x²-y2 ху+у...

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Q: | sin 2x cos7x dx

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Q: 1. Verify that the infinite series diverges п a) E (2) 6 n=0 п b) E п+1 n=1

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Q: I. The Fisher effect theorizes that nominal interest rates observed in financial markets must compen...

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Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time....

A: This question can be solved by applying the concept of rate of change of quantities.

Q: The integral represents the volume of a solid. Describe the solid. 2nx' dx O The solid is obtained b...

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Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: Martin went to the store and bought toilet paper and paper towels in March of 2020 and sold them to ...

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Q: x+1 dx (25 – x²)3/2

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: Sketch the region enclosed by the given curves. y = 13 – x2, y = x² – 5 y y 5 -6 -4 - 2 4 6 -6 -4 -2...

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Q: GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solution legibly on a short bond ...

A: Since we are given with multiple number of questions and our guideline is solve the first question o...

Q: Question Select your answer. If f(x) = cos z, and g(x) = 5 f(2), does lim g(x) always No, because f(...

A: Given problem:- if f(x)=cosx and g(x)=5-f(x) does limx→cg(x) always exist for any real number c?why?

Q: 1 Simplify (129 + 121 + i) (i2021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: DIFFERENTIAL EQUATION Find the differential Equation of the family of the curves described. Draw at ...

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Q: 7 lim 『ストフ-2 X + 3 メy-3-

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: dt 4e-t – et

A: I =∫dt4e-t - etI =∫et dt4 - e2 tet = uet dt = duI = ∫ du4 - u2

Q: Simplify sin e cos e tan e 1 tan?0 sececote

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Q: So 4х cos (2x) dx e x COS

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Q: Solve for the differential equation

A: Note: In the first question given equation is not clear as only left hand side of the equation is gi...

Q: 1. dx てナメてナて

A: We have to evaluate the integral

Q: sin x dx 2- cos²x CoS

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: What is a singular solution? Give an example.

A: Singular solution of the differential equation is the solution which can not be obtained from the ge...