Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a total of $94.00. Jack bought 2 fewer envelopes than calculators. In addition, he bought 10 more pens than calculators. How many envelopes did he buy in total? 12 10 9 8

Q: In( sin(x))dv using simple substitution, dv =f (x)dx_Determine the valut of /(x) if In order to eval...

A: The given integral is: I=∫lnsin x dv

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A: Given: I=∫sinlnx73xdx  ....(1)   We know that the trigonometric identity: sin2(x)+cos2(x)=1  

Q: dx 5+ x2

A:   For knowledge purpose we will derive the general formula for such type of integration.

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Q: , then the M is equal to Blank 1 (use small letter, no space)

A:

Q: V. 49+x2 16. F(b) is equal to? 28-7pi A. 7pi-28 B. 4 4. 17. F(a) is equal to? 28-7pi A. 4. 7pi-28 B....

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Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

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A:

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A: If F and G both are antiderivative of f then F can be made to equal G by adding or subtracting some ...

Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: Evaluate: Sv*+sin/x dx. A x+2cos/x+ C 2x+ cosx B + C 2

A: We have to solve the integral

Q: Which of the following indefinite integrals will result to logarithmic expression? 2 A dx (2x+7)2 B ...

A:

Q: 12. e-v dy

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Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E) N...

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Q: Find f'(x) and f"(x). f(x) = (x3 + 1)e* f'(x) = f"(x) Need Help? Read It Watch It

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Q: Evaluate the integral: - S- de. 4- sin?e cose A None of the given choices ® sin-(ino) +c B Sin-1 © -...

A: The objective is to evaluate the integral.

Q: 5e2*dx ,4x – 6e2 + 1 | 3e 2r B 3e2 – 2 (c) 3e2x – 1 D 9e x – 6e 2* + 1 E) None A)

A:

Q: 3x3 -5хе^ + 2хcos(x) Evaluate:

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Q: / In(sin(x)) dv using simple substitution, dv =f (x) dx_ Determine the valut of f(x) if In order to ...

A:

Q: The DE for the family of circles of radius 9 is: A [1+ (y')²]³+81=0 B ® [1+(y")*]³–81=o [1+(y')²]³– ...

A: The general equation of the circle with center (h,k) and radius r is             ( x - h )2 + ( y - ...

Q: -ln (-u) +C If u<0, then A True B) False

A:

Q: -1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 |1 x2 3 (a) Sketch f(x). (b) Discuss the...

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Q: (x +2x+3)(5-x) 10. g(x)= 3x+2

A: We will use u/v formula for derivative to find the required result.

Q: tan( tan3x) dx Evaluate: cos?3x A) 3 -In|sec (tan3x)|+C -In|cos( tan3x)|+C 3 In|cos(tan3x)|+C In|sec...

A: Just I have make the substitution and solved the given integral.

Q: Determine whether each of the following functions is (a) continuos (b) differentiable. Show complete...

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Q: Which of the following is equivalent to the inteerand of (sin( Inx ' ) -dx? 7cos (In(x7))+ cos(In(x7...

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Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3), wh...

A: We will find the time and distance. 

Q: sin 2 tsin2tdt A sint 3 B sin 21 cost D sin21 E None

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Q: Find the present value of the given future amount. Assume 360 days in a year.   ​$171,247 for 318 da...

A: Given query is to find the the present value of the future amount given.

Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: In-(Ine") dx A Inx 8 In'x © Inr? Ine E) None

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Q: The integral csc(0.5) dx is equal to 2ln|tanh(0.5x)| + C B None of the given choices 2ln|csc(0.5x) –...

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Q: Let * = 3.54, and y 3.31. Determine the value of C when you evaluate %3D 5+x xp-

A: Given ,y=∫x5+xdxSubstitute  u=5+xdifferentiatedu=dxy=∫u-5uduy=∫uu-5uduy=∫1-5uduy=∫1du-∫5uduy=u-5ln(u...

Q: Question 14 Which of the following indefinite integrals will result to logarithmic expression? 2 A (...

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Q: If u <0, then -in (-u) +C u (A) True B False

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Q: sin In 4+tan cos-dx 4+tan-Icos- 2 1+ cos 2sin In4 4+ tan cos- dx A 1+cos 4+ tan-cos- 2sin-In 4+ tan-...

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Q: Construct a difference table to predict the next term of the sequence. −1, 3, 21, 58, 119, 209, 333...

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Q: x2-x+1 -dx Evaluate: A 2,2-2,2-2,24C

A:

Q: dV The value of C in the equation: dt 500(t+1) -2 , when V=700 and t=0 is

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Q: If Mesin(2x) dx= eSin(2x) + C_then the M is equal to Blank 1 (use small letter, no spa

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Q: The value of C in the equation: ~-= - 500(1+1) -2 , when V=700 and t=0 is dt (А) 250 в) 300 c) 200 D...

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Q: - ydx + (x++ xy )dy = 0

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Q: 2x + 2 x +1 in of Xト! ナイ

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Q: The antiderivative of Cos(3x) is

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Q: (Inºx– 3lnx) +dx (A Inx B Inºx © Intx D In x- 3lnx E In x- 3 (F) None

A: The integral is  ∫ln6x-3lnx4xdx

Q: If Mesin(2x) dx = eSin(2M) + C, then the M is equal to Blank 1 (use small letter, no space) Blank 1 ...

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Q: Question 15 Evaluate: J(3x +1)<dx = Blank 1 (use small letter, no space) Blank 1 Add your answer

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A: The statement is  If u &lt; 0 then ∫duu=ln(-u)+C

Q: Evaluate the integral. dx 3x2 + 11x + 6 0.

A:

Q: 4y+4(4x-5y)-7+9(3-7y)

A: