functions

Q: dx x3∫?cos(t) dt evaluate the integral

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Q: C(x) = 800 + 100x² + 2x³ R(x) = 60,000x – 50x² + 2x³

A: Use concept of margianals 

Q: certain strain of bacteria divides every 2 hours. If a colony is started with 30 bacteria, then the ...

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Q: 10 If f is a continuous function and F'(x)= f(x) for all x € R, then x)dx=? F10) – F(2)] B2[F(5) – F...

A: The objective of the question is determine the integral and choose the correct option.

Q: A fence 4 ft tall runs parallel to a tall building at a distance of 2 ft from the building. What is ...

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Q: The velocity graph of an accelerating car is shown. (km/h) 60 40 20 12 (seconds) (a) Estimate the av...

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Q: 6 .6 If f(x)dx=10 and f(x)dx=3, then | f(4 – x)dx=? A В 3 (c) 7 10

A: Given that a integration problem and we solve this problem by using general formulas of integration....

Q: Н.W. 2) Inx = dy = 1 dx dy 1) = ex-y 3) /2ху dx dy y

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for...

Q: Find y" at (2,4) for cos(x²y + 5) = 16. %3D

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Q: Which of the following statements is/are TRUE? 1. Scsce du = Jse{u- )au II. ſcsc sc u du= In|csc u +...

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Q: traffic 400 C 300 D 500 200

A: balance the flow

Q: (b) Give an example of divergent sequences {a,} and {b„} such that {a, + bn} converges.

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Q: 3 wu= 2-x. [ w/2-xdx= If U = | x/2-x dx= 3 (2 – u)Jūdu Luūdu -1 .3 uſudu D (2 – u)Vūdu -1

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Q: Which of the following statements is/are TRUE? 1. Sesc u du - Ssec{u- Jau 2 II. J csc u du = In|csc ...

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Q: If the substitution u =1+/x is made, then dx= 2 fu³1? du A ® 2Svūdu ⓒ 글/vadu du

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Q: Find the particular solution to the following initial – value problem: dy dx y +1 given y = 1 when x...

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Q: 1. A 50-cm high trough filled with liquid is 200 cm long and has a cross-section of an isosceles tra...

A: As per our guidelines we are supposed to answer only one question. I am solving the first one Kindly...

Q: dy The general solution of the DE dx = cos?y is Hide answer choices a A y=tan-(x) + C B y=tanx + C C...

A: Given that dydx=cos2y.

Q: Use the Second Derivative Test to determine the relative extremum (extrema) and saddle point(s), if ...

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Q: 2-Decomposition of hydrogen peroxide to water takes place first order differential equation (C=Coe*)...

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Q: Evaluate the indefinite integral. ex V 36 + ex dx Step 1 We must decide what to choose for u. If u =...

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Q: 0∫in2 (ex)/(1+e2x)dx  evaluate the integral

A: Let's find. 

Q: Consider the indefinite integral 5 dæ 5+ et The most appropriate substitution to simplify this integ...

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t? ...

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Q: S(x2 - 2)/xdx = 3 4 /x-글wx+C 4

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Q: Vx+10 39. г(х) - 2х 40. (х)-- xVx+4 х+6 41. (х) - In, X+3

A: Given that: 39. f(x)=x+10x           NOTE: As per our answering guidelines, we can only answer 1 que...

Q: 15 If f(x)dx= J f(x)dx=5, then fx)dx=? and 2 А) 25/2 в) 5/2 19/2 D) 9/2

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Q: k+3 f(x+ k)dx=8, where k is constant, then f(x)dx=? k-1 A) 8+k B) 8-k c) 8 D) k-8

A: C is correct. 

Q: 8. S(x³ + 2x² +x – 5)e2* dx -

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Q: Solve the differential equation using the Method of Undetermined Coefficient. Show your solution. (D...

A: Differential equations

Q: Translate the spherical equation into cylindrical coordinates Equation: tan2(φ) = 1

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Q: If the substitution u=1+/x is made, then dx = A 2fvūdu В du O 2 Su?du

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Q: Find the extrema by a) finding critical numbers, b) setting up a sign line, and c) listing extrema. ...

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Q: The idea here is that we want to take very thin "cylindrical shells" parallel to the axis we are rot...

A: The integration of polynomials can be carried out using the expression ∫xndx=xn+1n+1+C. If the integ...

Q: Use geometry to evaluate the definite integral -2∫2 √4−x2 dx

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Q: 1+ sin x dx = cos? x А tan x + sec x + C tan x + sec? x + C C tan x - sec x tan x + C In(1+ cos?x) +...

A: Solution..

Q: cos2xdx csc22xsin4x

A: Here this is an indefinite integral. Wally's formula is used for definite integral. So I am solving ...

Q: 13. lim X- 6 3 14. lim X-1 x+1 X-4 15. lim x-2

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Q: Y - (4z - y+ 1) = 0 y(0) = 2 %3D

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Q: Find the parametric representation for the surface with the given boundaries. The part of the sphere...

A: To find the parametric representation for the surface , x2 + y2 + z2 = 144 , that lies b/w the plane...

Q: Use Green's Theorem to evaluate (V1+r) dr+2ry dy, where C is the triangle with vertices (0, 0), (1,0...

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Q: -y = sin-1 (x), y €|-5 (х), у € 2'2

A: topic - proof of inverse trigonometric function

Q: Use the transformation u = y – r and v = y to evaluate the integral // 2 + s°) dz dy where R is boun...

A: Solve it. 

Q: the differential equation: dy xy2. dx — х %3D 1 X = a. y = 3x + 3ln|x³| + C b. у %3D2y + 3In\x3| + С...

A: Given: the differential equation can be solved using variable separable.

Q: A. Find the function f that satisfies the equation / f(1) dt : 2 cos x + 3x – 5. d B. Evaluate: dx 3...

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Q: Let + = 1 be a surface Nin (x, y, z)-space. 32 Let C be the curve formed by the intersection of the ...

A: x232 + y242 = 1 be a surface Ω C be the curve which is generated with the intersection of plane z = ...

Q: If u = 2- x, x/2 -xdx=

A: If u = x-2 , find integration of  x(2-x)1/2 from 1 to 3.

Q: Question 15 .6 If | f(x)dx= - 15 and 2 f(x)dx=5, then f(x)dx=? 9, (A) 25/2 B) 19/2 (c) 9/2 D) 5/2

A: We have to find 

Q: dy zsin(x) dz

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Q: 1. Use the transformation u = %, v = xy to find || x y³ dA over the region R in the first quadrant e...

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