5e2x dx e2x + 11e* + 24 + 11e* + 24

Q: Find a formula for a function f that satisfies the following conditions. lim f(x) = 0 lim f (x) = -0

A: Given that:                              

Q: |S(1 – cos 4u) du

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Q: Find the volume OF the solid Formed by revolving the region bounded by the graphr of x- -y't 4y, and...

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Q: Convert the Transfer Function into Differential Equation. (s – 1)'s C(s) (s2 + 1)2s2 R(s) Convert th...

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Q: 3. Find the domain or range of the following functions f(x)=x-|X|. Find the range. f. f(x)=. 2-x. Fi...

A: Given:    f. fx=x-x Range:    The set of values of the dependent variable for which a function is de...

Q: A rocket rises  s(t) = 8t5/2  feet in t seconds. Find its velocity (in ft/sec) and acceleration (in ...

A: Given that: Rise of rocket:                s(t)=8t5/2

Q: S(tan 3x – sin? 2x tan 3x)dx

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Q: List the sample space for each of the following statistical experiments: a. A coin is tossed at the ...

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Q: Direction: Find the derivative of the function. 1² + 3z + 2 z² – 3z + 2 Select one: -6 (z² – 2) (z –...

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Q: x3-27 dx 2. ズ-3

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Q: Direction: Find the derivative of the function. S(p) = VP – 1 VP +1 Select one: 1. f'(p)

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Q: 2,1 1,25 2,25 3,78

A: Explanation of the solution is given below...

Q: Find the integral of 12sin xcosxdx if the lower limit is 0 and the upper limit is 90°. OA 11.5 O B. ...

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Q: b) f(x) = -log2(2x + 3) – 3

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Q: dy (10) (8у — х?у)+x- ху? — 0 dx

A:   Note:- Since you have asked multiple question As per our policy, we will solve the first question ...

Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: S. Sxidx

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Q: 3. The function f is defined for all real n umbers except for x = -3. What is a reasonable estimate ...

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Q: f(x) = 1 and lim g(x) 15. If lim = 2, then evaluate each limit. x→0 x→0 X f(x) b. lim x→0 g(x) a. li...

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Q: (12) х4 Яу + 2x3у -1 + 2x3у %3D 1 dx

A: For the solution follow the next step.

Q: dy +Zy =0 du

A: Given: dydx+2y=0   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where 'a' is the constant....

Q: ax+: xp:

A: In this question , we can solve given integral by using substitution method. ∫un du = un+1n+1+C

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

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Q: or the given function, find (a) the equation of the secant line through the points where x has the g...

A: Given the query is to  find the equation of secant and tangent for the curve 

Q: Learning Task 2 Use reference angle and appropriate sign to find the exact value of each expression ...

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Q: Find the area of the shaded region. y=2 y= 2sin(70x) -2. O 4+4 4 + 8

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Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O n...

A: Given fx is continuous between a and b

Q: To verify whether a matrix B is the inverse of the given matrix A, we need to check whether the prod...

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Q: D. Given the following polar equations, find the eccentricity and identify the type of conic; write ...

A: We know that the polar form of a conic with directrix x=±p and the focus at origin has form: r=ep1±e...

Q: -2

A: To find the given limits from the given graphs.

Q: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.

Q: Do vectors (2,0,1) (-2,0,0) and (2,3,0) lie in the same plane? Explain your reasoning

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Q: 20. Express the function F(x) = 1/x + J three functions. X as a composition of

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Q: Given f(x,y) = xy-3xy. Evaluate [ fdy O 14y-27y + C 6 O -6y +8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x+C

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Q: A 3-m long steel pipe has its upper end leaning against a vertical wall and the  lower end on a leve...

A: Given that: Length of steel pipe=3mLower end moves away from the wall at a speed = 2cm/s

Q: 4 = X*+5x -a x" +3 %3D

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Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

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Q: A triangle is formed by the vectors (4,1) (1,3) and (3,3). Determine the area of the rectangle, expl...

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Complete the integration: 1 1 Scos (2x)dx = sin 2x -sin 2x + C Determine the value of "?".

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

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Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form 

Q: Find the exact value of s in the given interval that has the given circular function value. V3 CoS s...

A: Topic = trigonometry

Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x- 3)2 X-1 %3...

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Q: 4×(7×12-9)+25÷(-5)-5÷5

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Q: IL Solve the linear differenhal equations 1.( D2+ GD+ 13)y 2. (D5-2D3_ 2D²-3D-2)y-o 3. d3y d+ +by 8 ...

A: Using method of linear differential equation.

Q: Evaluate the following. Show solution using the basic formulas.

A: Evaluating the indefinite integral  

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A: Given:  fx=x2-3 To Find:  A To find the average rate of change ARC of fx on the interval 4≤x≤4.1.B T...

Q: Differentiate the function. H(x) = (x + x=1)3 %3D

A: Important formula ddxxn = x(n-1) (a+b)3 = a3 + 3a2b +3ab2 + b3

Q: f(x) g(x) = 3x – 5 Зх — X + 5'

A: Solution

Q: Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2...

A: We know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2e-x+e3x