dx 3x2 + 11x + 6

Q: Solve the differential equation e-y da (11) = ze" O e +z = C Oe lets) +7 = C O e +z = ( C O e-t-) +=

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Q: sinx cos x-1 Use the trigonometric limits lim 1 and/or lim = 0 to evaluate the following limit. x-0 ...

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Q: Squeeze Theorem to evaluate lim x→0+ x [1 − cos (1/x)]

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Q: 2 integrate by parts

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Q: Find the average of the function g (x) = 2 cos 2x on the interval [0, r] -T

A: The function f(x)=2 cos 2x on the interval 0,π

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: Here we have to find out the convergence of The infinite series and then we find out the sum if it c...

Q: x sin(x² )dx 2.

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Q: Consider the function: f(x) = {x2,      x ≤ 2          {4,        2 4 Find the following limits: (...

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Q: Consider the function T = xe3x+y? dy 5 and dt where x = Vt + 1, and when t O we have y -2. dT when t...

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Q: Find the complete solution of dy + dx = 3r'ydr %3D O ry C-r O (C-a) = 1 %3D Oy -2-C

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Q: Find an equation of the line tangent to the graph of G(x)=5 eX at the point (0,5). The equation of t...

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Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) [ f...

Q: 38y" - 7у %3 2 2y" + 7y = -x 7 3 7y" – 7y =- 2 8

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? 믐...

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Q: 3. v? – 4v = -1.2975 – 2.1i

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Q: 1. d'y_dy - 42 + y =r²-2t +3 dr dt 2. y"-7y'=(2x-1)sin 2x 3. y'-5y=xe" – xe*

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Q: Evaluate the following limits: (a) limx→0 4x/sin 5x (b) limx→π sin( π/2)/5x (c) limx→0 sin3^3x/x^2ta...

A: a) limx→04xsin(5x)=45 b) limx→πsinπ25x =sinπ2limx→π15x                    = 015π limx→πsinπ25x = 0 c...

Q: Suppose f(x) is continuous for all x and positive for all a except at x = and/ f(z) dz converges. Se...

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 3...

A: The given curve,  y=x+2x-23 at x=1

Q: A straight metal beam leans against a building so that the angle between the ground and the metal be...

A: Given query is to find the length of the beam.

Q: f(x) = {2 – 4x, if x 2 -

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Q: Solve using method of undetermined coefficients d³x d²x dx + 6 dt2 + 12 dt dx 0, x = 1, dt d²x 2, dt...

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Q: There are three conditions in which limits do not exist

A: First Condition   Limit fails to exist  when  The function approaches to some number from the right ...

Q: Question Use the quotient rule to evaluate h' (a) for the given function h(x) and a. 7x h(x) = a = 2...

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Q: height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 16t...

A: Given query is to find the the time when the velocity is 130 ft per second.

Q: Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a s...

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Q: a) On what interval(s) is fincreasing? b)On what interval(s) is ƒ decreasing? c) Where does f have a...

A: We want to find the intervals where f is increasing and decreasing. And also the local minimum and l...

Q: Determine whether the series converges. k + 4 Σ +7 k=1

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Q: Determine whether the series converges, and if so find exactly its sum.Otherwise type none in the bl...

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Q: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.

Q: V Solve usinog variaton of parameters or reduction of order (D²- 2D+1) y = e2"(e*+1)?

A: Solve by using variation of parameter  find auxiliary equation and then find wronskian and put in th...

Q: II. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1...

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Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...

A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

Q: d²y 1. -4 +y=r²-2t +3 dt dy dt

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Q: Given that lim f(x) = 2, lim g(x) = – 4, lim h(x) = 7 find the limits. Enter the exact answers. (a) ...

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others parts as...

Q: dx (Be* a arcsin + C 4e-2x-25 ß Find : α + β +δ

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Q: Find the maximum and minimum values of the function g(0) 30 6 sin(0) on the interval Minimum value =...

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Q: Find the difference quotient f(a+h)-f(a) if f(x) = 2x – ! - 1 h

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Q: Solve the equation (x + 3y)dx - xdy 0 %3D O y? = 5x4 + cx3 O y = x5 +cx3 O 2y = x5 + cx3 %3D O 2y = ...

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Q: y'- 5y = x°e* – xes*

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Q: 20. Let h be the function defined by h(x) = [", sin²r dt. Which of the following is an equation for ...

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Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

Q: hich of the following integral will give the volume of a solid generated when the area bounded by 4,...

A: Topic:- application of integration

Q: a. 15. A committee of three is to be formed from a group of four Math teachers and five Science teac...

A: topic - permutations and combinations

Q: Simplify 3 tan x cos x cot x (1/3)cosx 1 + cosx 3cosx

A: Given query is to simplify the trigonometric expression.

Q: If u; and > Vk are convergent series, then > (ux + vk) and (uk – vk) are convergent series and the s...

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Q: -3ln(x + 2) Graph the equation Domain, Range and Asymptote Find the Inverse of the function and grap...

A: Given, the function                              f(x)=-3lnx+2 then we have to graph the equation. Al...

Q: y- 2x = 3y - 2 %3D Oz= 3yIny +1+Cy Oz= 3lny +1+ Cy Oz = 3y Iny +1+C Oz= 3y Iny + Cy

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Q: 59. Suppose that functions f and g and their derivatives with respect to x have the following values...

A: Since you have posted multiple questions i can do first question with first three subparts as per ou...

Q: What is the magnitude of the resultant of the two force vectors shown in the diagram? (-2,3) 3- 2- (...

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