05+-06 dt .07

Q: y'-5y = x²e* – xe³*

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Q: Calculate the integral: dx J (e² – 4)(e* + 6)

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Q: 20/40) ty' + (t + 1)y = t, y(ln 2) = 1, t >0

A: Given, ty'+(t+1)y=t And initial condition y(ln2)=1

Q: Solue the following d.e. 16 tang x

A: Let's find. 

Q: Evaluate the indefinite integral ²v cos vdv = %3D + C

A: As we know that; The trigonometric identity: sin2x+cos2x=1 The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; ...

Q: Find the tangent line to the curve y = 2x - x2 at (2,0)

A: The equation of the curve is given by y = 2x-x2 The point is x0, y0 = 2, 0 Formula Used: The formula...

Q: Find 6z - 5/T + Type your answer without fractional or negative exponents. Use sqrt(x) forsqrt(x).

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Q: Directions: Write your convincing proof. The function f(x) 2/x takes on the value-2 at x--1 and it t...

A: Application for Intermediate value theorem.

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

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Q: lim (-4 0 sin x x

A: Let ,I=limx→ 01sinx-1xTaking cross multilplicationI=limx→ 0x-sinxxsinxI=0-sin(0)0sin(0)I=00Which is ...

Q: P = (A,0, 0) P2 = (0, B,0) %3D P3 = (0,0, C') A= 1B = 1 C = 5 a) Find the equation of the plane form...

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Q: Find the derivative of the function. 5. x + 2 y = e y' =

A: The given function,     y=ex7+25

Q: (4x'у — 15х? — у )ӑx +x* +3у? - х)dy-0

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Q: Challenge Problem I a function / is inereasing on the intervals 3,31 and 11, 19 and decreasing on th...

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Q: Choose the type of the conic section. O hyperbola O parabola

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Q: find the equation of the tangent line and normal line to the ff. curves at the indicated point.

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Q: 100 500 2500 20 Given the series 9 81 729 6561 Does this series converge or diverge? O converges O d...

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Q: Estimate the average rate of change for the graph above from x=1x=1 to x=4

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Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and par...

A: Given :∫1x2-6x+bdxTo find :  How could I calculate the b value using u-substitution and partial frac...

Q: n of the coefficient/s when we evaluate (sec(x) - tan(x))²dx

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Q: (dy/dx)-5y= (-5/2)xy3 y(1)=1 solve

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Q: (e* + y)dx + ( 2+ x + ye )dy =0

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Q: ELIMINATE THE ARBITRARY CONSTANTS OF y = C,e-2x + C2e*

A: We have to differentiate and estimate the arbitrary constant

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

A: The given equation is P(x) = -0.001x^2+5x-1875. We have to find maximum value of P(x) ( profit). Cle...

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: II. Solve for the general solution of the following differential equations. y' - 5y = 0 cos x tan y ...

A: Note: According to.our answering guidelines we have to answer only three sub parts in a question(if ...

Q: (a) For which value of "a" does this population grow ?

A: This is the question for the population calculations.

Q: Consider the differential equation dy 1 dr? y3 A solution to the above equation is Select one:

A: Given :d2ydx2=1y3  

Q: Discuss the continuity of the function: (x2 + 2x - 4 xs-2 g(x) = } (6– x) x > -2

A: Given :g(x)=x2+2x-4x≤-2(6-x)xx>-2

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: Top two are the identities of anti-derivative. I have solved the last one properly and wrote the dir...

Q: 2.

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Q: For each of the following, state whether the equation is ordinary or partial, linear or nonlinear, a...

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Q: Let f be a differentiable function such that f (0) = 5.420 and f' (x) = vsin?x + x. What is the valu...

A: Let's find. 

Q: The function V(x) = x(10 - x)(16 - x), 0 <x< 10, models the volume of a box. (a) Find the extreme va...

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Q: y = V(4x + 3)³

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: SOve the inequality x²34-10 LO X-4 using the test-point method. Express your answer in interlai nota...

A: x2-3x-10x-4&lt;0⇒x+2x-5x-4&lt;0⇒x&lt;-2  or   4&lt;x&lt;5⇒Solution:  x&lt;-2  or   4&lt;x&lt;5  Inte...

Q: Find ??/?? using the appropriate Chain Rule w = ln y/x; x cos t; y = sin t

A: Use chain rule.

Q: 1. Given the vector-valued for R(t) = (2 sin 2t – 1)î + 2 cos 2tj + 3tk. (a) Find the length of the ...

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Q: Use implicit differentiation to find the derivative of: 9. х2 +x Arctany %3D у + 4 (2x+Arctany)(1+y²...

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Q: Е. 46.-50 Given the function g and asked to estimate lim g(z), three students created tables. Each t...

A: The person A has used the most closest values of x to 0. So, it is the best approach because we can ...

Q: d/dx[(x2 + 5)(x³ - 7) = 5x4 -15x2 + 14x Select one: O True O False 1 1 d/dx(I + Select one: O True O...

A: See the details solution in below

Q: What is the equivalent degree angle measure for the radian angle measure? Select all correct stateme...

A: As we know that; The angle which in radian can be converted into the degree by formula, θd=180°πθr

Q: 1. Use a direct proof to show that "If n is an odd number, then n' is an odd number."

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the anothe...

Q: 10:07 PM Sun Feb 27 webassign.net Need Help? 1 pro MY NOTES ASK Y Find the limit. Use l'Hospital's R...

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Q: Find the equations of normal of the curve y = 2x- x'at (2, 0). a. 2x +y = 4 b. 2x - y = 2 O C. X- 2y...

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Q: dy 1 dx sec?y

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Q: 4 Suppose that f(x)dx = 7. Find f(x)dx for the following cases. -4 (a) f is odd (b) f is even (a) | ...

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Q: Show that f(x, y) = e2x cos(x + In y) satisfies the differential equation 2f - yfyx = 5f.

A: Given that fx,y=e2xcosx+lnyShow that 2fx-yfyx=5f

Q: dx = In + V4- r +c O True O False

A: