Given the equation sin x cos I dx If you integrate the given equation, the answer is cos cos + C %3D - 4. = sin? x sin a + C sin a sin+ C - sin 2 + C

Q: Find the Laplace Transform of the piecewise function. (2 ,0<t<4; w(t) = { í 1? ,t 4. O 252+e-48 (2+8...

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Q: the exact value of each trigonometric function  9. tan -30 degrees  15. tan 90 degrees  17. Sin 9...

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Q: Find L(y) (1 y" - y = It +1 0 2 y(0) = y'(0) = 0 -2s = 7 + 2 L (y) 1 8 (s² –1) s2 –1 -2s (3s+1) e L ...

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Q: [y = u?-1] 3 Vx2 + 2 u2+1.

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Q: Let f(x) = the following transformation of the graph of f: horizontally scaled by a Vx. Find the equ...

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Q: A 2-lb-per-gallon salt solution is pumped in a 400-gallon tank at a rate of 2 gallons per minute. At...

A: We will find that how much salt is in the tank as soon as it starts to overflow.Below find the solut...

Q: Suppose a block of metal heated to 250°F and then brought into a room that is at 90 ° F at 5 pm. At ...

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Q: Find f'(a). 2t + 12 (t) t + 9 f'(a):

A: Given that: f(t)=2t+12t+9

Q: After 2250 years, 25% of a radioactive material remains. If the rate of decay of the material is pro...

A: Half-life = 0.693/Decay constant(lambda)

Q: y" -y + 2x t2 where: a (0) = a' (0) = 0 %3D y (0) = y (0) = 0 Find: L (y) L (y) 293 s+2 - OL (y) = 2...

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Q: Determine the length of the curve 7(t) = (3t, sin t, cos t) on the interval 0 < t < 2n. %3D А. L = 2...

A: As we know that, The expression for the length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt ...

Q: x²+3x+2 6. limx0 2x2-1 2+3x 7. limx-00 бх-1 2x2-1 8. limx0 7+3x+5

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: A particle that moves along a straight line has velocity v(t) meters per second after t seconds. How...

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Q: The voltage drop across an uncharged capacitor with a capacitance of 106 farads is O 10 O 106 O 106 ...

A: We have given uncharged capacitance  with capacitance  C=10-6 F Using Formula  Q=CV As capacitor is ...

Q: 9. Which of the following is NOT true about the set 2N = { %3D 2, 4, 6, 8, 10, ...}? * O A.) It is b...

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Q: Rational Function Identify the domain and the equations of the holes, vertical asymptote and horizon...

A: We have to find domain

Q: parts clearly with explanation. Also, please read the question carefully because sometimes my questi...

A: Topic:- calculus

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

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Q: TAT So use the 1. Show csC x =- CSC X Cot x. (Hint: csC X = quotient rule.)

A: topic - derivative of a trigonometric function note: as per bartleby guidelines, we are supposed to ...

Q: Given the differential equation (2D² – 3D+1) y = csc(2rx) Propose an appropriate particular solution...

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Q: Find L(5 t2n+1 – 4)° } - 4)}

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Q: f(t)-[te-" sin 3(t - t) dr 3 3 (s+2)°(s² +9) (s– 2)°(s² +9) O A.) В.) - 6s (s +2)(s² +9)² - 6s (s – ...

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Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and ...

A: Let the temperature of metal ball at time t be:  y(t) Surrounding temperature is:  A = 25°C y(0)=195...

Q: Find the approximations T, M and S, for n = 6 and 12. Then compute the corresponding errors ET, EM, ...

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Q: dx -x - e

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Q: 1419857* 4913*

A: We know that, ∫axdx=axlna+C And The exponent rule: anbn=a×bn   Given: I=∫1419857x4913xdx

Q: Find each total value. Draw an X on the coin with the greatest value. 1. 2. Start with 25 ¢ Start wi...

A: We have to find total value of coins and the greatest value of the coin .     

Q: Differentiate each function with respect to x. 1. y = ((2x^3-1)^5+ 1)^3 2. y = ((-5x-3)^5 + 1)^2 3. ...

A: 1. y = ((2x3 -1)5 + 1)3 2. y = ((-5x-3)5 + 1)2 3. y = ((x3 -2)5 - 2)3 Repost the next parts.

Q: The Laplace transform of a constant, k, is valid for

A: The Laplace transform of a constant k, is valid for ______

Q: Given the differential equation, d'y dy -3x +4. dæ + 3y = e sin (), the proposed particular - dx? so...

A: We have to find the value of B. 

Q: x² – 3y + 3 = 0 2y + x + 2 = 0

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Q: Consider the curve y = x – x³. (a) Find the slope of the tangent line to the curve at the point (1, ...

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Q: Evaluate the triple integral of f(x, y, z) = cos(x^2 + y^2) over the solid cylinder with height 8 an...

A: By Cylinder Coordinate System we solve the above question.

Q: x dy -ydx -Vx²_yz dx =0

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Q: A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for each gal...

A: Given:   A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for...

Q: Given the following graph, what is the corresponding function (t 0)? 1 1 O y =t – tu (t – 1) + 2 u (...

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Q: Given the differential equation (2D2 – 3D+ 1) y = csc(2ra) - Propose an appropriate particular solut...

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Q: Determine the curvature of 7(t) = (t,t“, t°) V36t4 + 9t² + 4 K А. (9t4 + 4t2 + 1) V36t4 + 36t2 +4 В....

A: We have to find curvature of vector r(t).

Q: The independent variable(s) of the equation Urr B- uy + aug is/are ох, у a, ß о и, х, у

A: The given differential equation is:uxx=β2uy+αux

Q: Which of the following would be the most appropriate substitution to make to solve the differential ...

A: To determine: Best substitution for  

Q: Motion in Space: If 7(t) represents the position function, then the velocity function O = F"(t), the...

A: Position function of the particle is given by vector r(t)            Vector r(t) = 2√2*t i+e2t j + e...

Q: This is a three-part problem: Let D be the region bounded below by the plane z = 0, above by the sph...

A: Given:    Speher : x2 + y2 + z2 = 4      Cylinder: x2 + y2 = 1      Plan : z = 0

Q: BASIC PROPERTTES OF INTTE RATION IHTEGRATE THE FOllowING:

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Q: f(x+h)-f(x) 1. Let f (x) = Vx find the derivative of the function using the formal definition of the...

A: Given f(x)=xTo find derivative of f(x) usingf'(x)=limh→0f(x+h)-f(x)h

Q: x*dx + y C x-) dy =0

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Q: Differentiate each function with respect to x. 4. y = (-5x^3- 4)^3 -2)^5 5. y = ((-5x^3 -2)^4 -3)^3

A: Since we are given with the multiple number of question and answered according to the guideline.

Q: d'y Given the differential equation + 4y = 0 and the initial dx2 conditions y(0) =0 and y'(0) = a, w...

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Q: [1] S(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – vx)* d. [3] S V1+ 2sin3xcos3xdx

A: As per bartleby guidelines we are support to answer only 3 subparts of a question. This post contain...

Q: The graph shows how the average age of first marriage of Japanese men varied in the last half of the...

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Q: dy Given the differential equation dr2 + y = e=5# sin(x) Propose an appropriate particular solution.

A: Option A