Differential form of ax=yx

Q: A bacteria culture grows with constant relative growth rate.The bacteria count was 400 after 2 hours...

A: Explanation: Let  k is the relative growth rate We know that,  A(t)=A0ektPut t=2A(2)=A0e2k400=A0e2kA...

Q: Find area of the region under the curve and above the x-axis for  2≤ x ≤4.                          ...

A: To determine :  The area of the region under the curve y = 8x2 ex -1x2 above the x - axis for  2≤x≤4...

Q: Evaluate the integral.

A: Consider the provided integral, ∫ etanxsec2xdx Evaluate the  provided integral. Apply the substituti...

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than on...

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Q: Evaluate the following limit. Use l’Hôpital’s Rule when needed.

A: Given: The limit, limx→∞1-3xx.

Q: Graph the solution set of system of inequalities: x ≥ 0, y ≥ 0, 3x + y ≤ 9, 2x + 3y ≥ 6

A: Given: The system of inequalities: x≥0, y≥0, 3x+y≤9, 2x+3y≥6 To determine: Graph the solution set of...

Q: Solve please! i’m having trouble

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Q: Evaluate by  ∫-2 2  (x +3 )  √ (4- x2)   dx    writing it as a sum oftwo integrals and interpreting ...

A: Given: I=∫-22x+34-x2dx we know that ∫abfxdx=∫abfa+b-xdx                                             ...

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Given:∫01xe-x2dx

Q: The position of a particle as a function of time is given by the equation s(t) = t^3 - 3t^2 + 2 for ...

A: Given the position function, s(t)=t3-3t2+2                              ...(1)

Q: The equation for f is given by the simplified expression that results after performing the indicated...

A: f=x-510x-2÷x2-10x+2525x2-1   Solve for f. f=x-510x-2×25x2-1x2-10x+25=x-525x-1×5x2-12x2-2·x·5+52=x-52...

Q: Find the exact value of the expression tan (π/6 + π/4).

A: Given, tanπ6+π4

Q: QUICK CHECK 5 Evaluate the binomial ) and (-3' coefficients 2,

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Q: Finding a constant Suppose x? 5x + 6 if x + 3 f1x2 = c х — 3 if x = 3. а Determine a value of the co...

A: Given- fx=x2-5x+6x-3  if x≠3      a           if  x=3 To find- the value of a for which limx→3fx=f3

Q: Answer this question.

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Q: Jonathan’s lunch account began with $50 and he spends $2.30 per day on his lunch.  Nelson’s lunch ac...

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Q: 30-please double check

A: Given, fx = x2 -9x+14  We have to find the antiderivative of fx = x2 -9x+14   

Q: Evaluate and simplify y'. y = 2xV2

A: Given, y=2x2

Q: To gain 25% after allowing a discount of 10% , the shopkeeper must mark the price of the article whi...

A: Given:Let x be actual price of articleDiscount of 10% of articleTo gain 25%Price price of article=$3...

Q: (a) Consider the first order non-linear differential equation dy x In x+ yey dx x(3y+1)e" where y is...

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Q: 3. Analyze the function f(x)=x°+2x* +8x' +16x² –9x–18. Follow the steps below; show a work for full ...

A: Given: fx=x5+2x4+8x3+16x2-9x-18 we know that for given functionfx as x→±∞, tendency of fx depends on...

Q: Topic: Equations of conic sections, Systems of Non-linear Equations Competencies: illustrate a serie...

A: a) Solution:- SEQUENCE:- A sequence is defined as an arrangement of numbers in a particular order.  ...

Q: Write the partial fraction decomposition of the rational expression x/(x2 + 2x - 3).

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Q: (4) find what is the domain

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Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

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Q: An objective function and a system of linear inequalities representing constraints are given. a. Gra...

A: Given information: objective function, z=2x+3y Constraints, x≥0     ...(1)y≥0     ...(2)2x+y≤8     ....

Q: Find the Taylor polynomial p3 for f(x) = sin(x) at x = a. %3D

A: For  F(x) = sin ( x ) Taylor polynomial P 3 is calculated at x = π  as shown below   

Q: Find the exact value of the expression.Do not use a calculator.

A: Given expression: cos2tan-1-43

Q: Prove the identity.   cosh(x+y) = cosh x cosh y +cosh x cosh y

A: Given information: coshx We know that, coshx=ex+e-x2sinhx=ex-e-x2

Q: Graph the equation. Give the domain and range. Determine whether the graph is a graph of function. y...

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Q: Find the equation of the tangent line to the curvey=x4 -14x2+17x+40 and perpendicular to the line x ...

A: The equation of given curve is   y=x4-14x2+17x+40  On differentiating with respect to x, we get  dyd...

Q: find the mass and center of mass of the lamina bounded by the graphs of the equations for the given ...

A: It is given that,                         y=x3y=0x=2ρ=kx                        

Q: Solve the linear equation: (x + 1)/3 = 5 - (x + 2)/7.

A: Given the linear equation, x+13=5-x+27

Q: Find the antiderivative of                                                                          ...

A: Given r't=cos2ti-2sintj+11+t2k and r0=3i-2j+k. Solution: Integrating r't=cos2ti-2sintj+11+t2k, ∫r't=...

Q: please help pls

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Q: 8- 7- g(x) h(x) 6- 4. x-values X-values g(x) h(x) If f(x) then f'(2) - 2. 3. values 3. 2) y-values

A: according to given figure gx=-x+9hx=x+52,x<52-x+152,x≥52 so, at x=2 given functionfx will be fx=-...

Q: Integration of exponential functions (use formula below)

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