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Q: 70ot(*) e*dx e2x +1

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Q: Differentiate each function with respect to x. 29. f(x) = ln (-3x^2/x^5 + 4)^5

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Q: 20-sin 20 Find the maximum value of the function 02

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Q: 11. The sum of the digits of a two digit number is 12. If the digits are reversed, the new number is...

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

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: d'y Given the differential equation, dx? dy 2y = e2" sin(2x) cos(2x), the propsec - dæ particular so...

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Q: . Thrice the sum of two numbers is 30 and the sum of their squares is 52. Find the product of the nu...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: dx • A population is modeled by the equation ka (a – a), dt where a and k are positive constants. Wh...

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Q: (3) 3x²y² + 2x³y = 0

A: Follow the procedure given below.

Q: Given the equation S'sin x cos x dx The equation can be answered using Lesson No. 5(Case 2) and usin...

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Q: Find the volume of the solid formed by rotating the region bounded by the curve y = v3 and the line ...

A: Follow the procedure given below.

Q: [5an28 elan 20 sec 2 Bdß 1. e²x +2e* - dx e* +1 2.

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Q: BASIC PROPERTIES OF INTEGRATION THTEGRATG THE FOILOWING stan2% Sec' 2xdx 2. 7) ァメuIS× COSX

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Q: The definition of the error function also defines an "error term" E(z, y). 15 Find E(x, y) for the f...

A: Given:    x^3 + y^3 = 15/56 xyz     Point : (8,7,57)

Q: Express the following differential equation in terms of a differential operator: d² 9. dx? •() + dy ...

A: The given differential equation is:9d2ydx2+12dydx+4y=0

Q: Differentiate each function with respect to x. 26. f(x) = ln(3x^2/4x^5-5)^5 27. f (x) = ln (x^4/4x-5...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. dx =

A: Given: I=∫-∞-3e5x1+e5xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: Let Ā = (2, 5, 3) and B = (-1,2, 1). Find Ã × B. %3D А. i + 53 – 9k В. -7 - 53+ 9k С. 117 - 3 -k D. ...

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Q: (x² + y²)dx + 3xydy = 0

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Q: In the food industry, a quantity called decimal time is used instead of half-life. The decimal time ...

A: Half life is given T1/2 = 20 minute, relation between half life and disintegration constant k is giv...

Q: (1, 0 2 L (2) = + e (-!) te-2s (s-1) S (음 + 1) O. e2 L (y) = -2s e - s2 ( (s-1) °L (y) = -2s e (s+1)...

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Q: of Aumbers form {(-1)^(n+1)(n-1)/(n41)} Let be the ret of the where is an clement of the set of natu...

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Q: Find the general solution: (x – y) dx + xydy = 0 - x3 +с — 0 2x2 O none of the choices given In x + ...

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Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1) s...

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Q: 32 + 3z+ -IHTEGRATE THE FOllowING: 8) 2 1+ 2z 十2 zp ! 32 +37'+x

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Q: 11) Find the equation of the plane that passes through the point (1, 5, 1) and is perpendicular to t...

A: A plane is passing through a point (1,5,1) and is perpendicular to the planes 2x + y - 2z = 2 and x+...

Q: (+e") dy In the given DE, cos x + In y + dr integrating the coefficient of dx, M (x, y), with respec...

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Q: Integrate using the

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Q: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

A: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

Q: V150 =O (Type an exact answer, using radicals as needed.) Simplify by factoring. %3D V150

A: As we know that; The radical rule: (1). a2=a ; a≥0 (2). ab=ab ; a≥0, b≥0 Given: 150

Q: Function e (deg) e (rad) Function Value tan 30°

A: Here we have to use the concept of trigonometric ratios.

Q: )1–2و( 24s (s²+1)* If the Laplace Transform of F (t) t³ sin(t) is f (s) = what is the Laplace Transf...

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Q: x2 dx + y(x – 1)dy = 0 %3D

A: The answer is mentioned in below step

Q: Find L{{t"+3)*} O none of the choices given n! sn+1 n! 2. +6 S2n+1 n! 6. sh+1 (2n)! n! s2n+1 +6 sn+1...

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Q: (b) Find equations of the tangent lines at the points (1, 11) and (2, 12). y(x) = (at the point (1, ...

A: Part a,             y=8+5x2-2x3 and x=a

Q: dy Given the differential equation. da? + 4y 0 and the initial conditions y(0) =0 and y'(0) = %3D a,...

A: To find the value of a, first we differentiate y= sin(2x) with respect to x and then substitute x=0 ...

Q: Rationalize the denominator. V14 The answer is O (Simplify your answer. Type an exact answer, using ...

A: topic - rationalization

Q: Find the limits justi ly why the limit does nt aut or リ Pas 11-x1 b) lim fa) メ-1 2) lim *tメ-?

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Q: Given: x'(t) + 2y(t) = - 1 where, %3D x(0) = y(0) = 0 x(t) - y'(t) = 2t %3D Find : u(s) = L{x} %3D (...

A: I have stated the used formulas in the solution

Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = f'(x) =

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Q: Solve the following initial value problem for  y = f (x). dy dx  =  e−3x, y = 79  when  x = ...

A: dydx=e-3x and y=79 whrn x=0

Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water w...

A: Follow the procedure given below.

Q: Solve the following and show your complete solution Find Maclaurin Series Expansion and Compact form...

A: First find the first, second and further derivatives to find a common term and then solve the proble...

Q: O The price p (in dollars) and the quantity q sold of a certain product obey the demand equation q =...

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Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: We can find the answer as below

Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

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Q: 2dt (t – 3)vt2 – 6t +5

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Q: Applying variation of parameters to the DE: y+y tan x, we get the following system of equations: u c...

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Q: Given the following differential equation: (D² – 9) y = e-4= cos e* Using the method of variation of...

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