Evaluate the integral. Ta dx = (x-2)(x-3)(x + 2) + C

Q: Simplify. 2 X+1 2 x + 1 1 + X 3 + X

A: Topic = Algebra

Q: 4. For the second-order differential equation y" + 4y = -16 cos²x: a. Show that y = cos 2x + 2 is a…

A: We have to find a,b,c .

Q: Thank you! I am a bit lost because the equations are a bit messy with the computer. Would it be 3e^x…

A: GIven function :- y=3ex+8x3

Q: Let the velocity vector be v(t)=⟨5t^4,−3sin(t),4exp(2t)⟩ and the initial position vector be…

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Q: Consider f(x) = 5x-3 - 41/x^2 c) Find the equation of the tangent line at x = 2 to the graph of y =…

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Q: What is the solution to the differential equation:  dy/dx = y/(x2 + 1)  when y > 0?  A. y = eC +…

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Q: (a) Find formulas for f and g such that (b) Find formulas for f and g such that f(x) lim x→∞ g(x)…

A: Please see the below picture for detailed solution.

Q: A. A. Find if x = 2t4 - 4t² and y = t4 - 4t. dx t²-t+1 2t(t+1) B. t² +t+1 2t(t+1) Find f'(t) if f(t)…

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Q: =1 Find hat such that fal= (h ol F(x) = √x +13 -4 g(x) = 8x + Suppose that g(x) h(x) =

A: Topic:- calculus

Q: = Multiply, and express answers using positive exponents only. 1 (6u²z - v² ) Lu 2 би V - 3v 2

A: Solution

Q: Solve the Initial = Find the general valve problem jy (0) = -1 solution (x² + 1) + 3xy =6x

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Q: A cruise ship maintains a speed of 15 knots (nautical miles per hour) sailing from San Juan to…

A: Concept: Cosine rule: c=a2+b2-2abcosγ Sine rule: sinγc=sinθa

Q: The loudness, L, in decibels(dB), is given by the formula L = 10. log loud in decibels is this sound…

A: Topic- functions We are given,Loudnes L, in decibels(dB) by the formula L=10·logII0where I is the…

Q: x Find z. if z = xvey.x = rcos(t), v = rsin(t), when r = 2 and t =

A: Given; z=xyex/y, x=rcos(t), y=rsin(t)

Q: nd div F if F(x,y,z) = xz6 i + 5y7x2 j + 6z2y k.          A. div F = z6 + 35y6x2 + 12zy…

A: To find div F.??

Q: 1) The volume of a right cylinder is given by the equation V = r² h, where r is the radius and h is…

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Q: Differentiate the following function. f(x) = x5 e5x f'(x) =

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Q: Find the solution of the IVP: (1 + y cos x) dx - sin x dy = 0, y(1/2) = 1. Then, evaluate y(1.603).

A: This question can be solved using the concept of linear differential equation.

Q: 29. xyy' = 1 + y²; when x = 2, y = 3.

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Q: you

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Q: x², and x = y³ (x) ≥ (0)| y = x

A: Given data:- The given equations are, y=x2x=y3 Where, x≥0

Q: What is the particular solution for r(x) = 6xe³ª?

A: We have to tell the particular solution for  r(x) = 6xe3x

Q: Sketch the graph that possesses the characteristics listed. fis concave down at (1,4), concave up at…

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Q: iii. [ 2² √₂³ +11de, x5 u = x³ +11 bstitu

A: Solution is given below:

Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

A: we need to find out thr dimensions that will minimize the surface area

Q: 4p pt| p+1 4p D

A: SIMPLIFY THE GIVEN

Q: The cost for x Giants hats is C(x) = 500 + 10x + 100/x and revenue is R(x) = 18x Use the marginal…

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Q: show complete solution

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Q: h (s, t) = t²ln(s²) + √√SA

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Q: Differentiate the function. 1 2 =(√x + + + + + ) ² 3 v' = V

A: See this solution in below.

Q: -3x++4+5x7 -6

A: Given query is to find the soluof the expression.

Q: dz Calculate for z = 4x² + 3y², x = sin(t), y = cos(t) dt

A: Topic- derivative of a function we are given, z=4x2+3y2x=sin(t),y=cos(t)we know…

Q: Find the second derivative of y = e²x sin(3x)

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Q: (d) t³y + 4t²y=et, (e) ty' + (t+1)y=t, y(-1) = 0, -1≤t<0 y(ln 2) = 1

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Q: Evaluate the following, using INTEGRATING FACTOR. (ex+y - y) dx + (x ex+y + 1)dy = 0

A: We have to solve the differential equation by integrating factor  (ex+y - y) dx + (x ex+y + 1)dy = 0…

Q: Use Euler's method to find approximations to the solu- tion of the initial value problem dx = 1 + t…

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Q: Evaluate A. 30 S 7 dx -2 B. 35 C. 40 D. 45

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Q: Differentiate. y = log 4 (x+x) -log 4 (x6 + x) dx =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: x²yy' = e'.

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Q: 8) If you start with the graph f(x)=√x and move it down 1 and to the left 4 units, give a formula…

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Q: Solve g) iv. using the lebiniz rule, differentiate the following functions with respect

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Q: A sporting goods store sells 150 pool tables per year. It costs $8 to store one pool table for a…

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Q: Consider the function: h(x) = sin (2x) + x The name of the function is: OA. h OB. X OC. h(x) OD. sin…

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Q: If f(x)=x²+2x-4, find f(x+1) and f(√2)

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Q: e. When is the greatest common factor of two numbers one of the two numbers? Explain your reasoning.

A: Given :   When is the greatest common factor of two numbers one of the two numbers

Q: lim f(x) = ∞o 8118 Which of the parent functions exhibit the end behavior shown to the left? (note:…

A: graph of y=x;   y=x^2;   y=x^3;   y=1/x;

Q: 8. FIND THE DIFFERENTIAL 1. ALL CIRCLES EQUATIONS OF EVERY FAMILIES Or CURVES GIVEN.

A: The general equation of family of circles: x2+y2=a2where a is constant.

Q: B. 10/3 square units

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Q: A. g(x) is increasing at x = -7 3. g(x) has a relative minimum at x = -7 C. g(x) is decreasing at x…

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Q: Find the inverse of the matrix A, if it exists Show A=-407 030

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