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Q: [Q2] For the following function Ax)= x² + 2x 1- Obtain the first and the second derivatives for x =3...

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Q: Evaluate the line integral ∫Cx2ds, where C is a the curve given by the equation y=f(x)=lnx, 1≤x≤e.

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Q: derive

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Q: Find an equation for the line tangent to y = 1-2x² at (- 3, - 17). The equation for the line tangent...

A: For y = f(x) at (x1, y1) Equation for line tangent=> y-y1 = m(x-x1) m=slope=d...

Q: find the value of ( ƒ ∘ g)' at the given value of x. ƒ(u) = 2u/u2 + 1, u = g(x) = 10x2 + x + 1, x = ...

A: Since f(u) is not clear. Considering two cases to solve the problem:

Q: Find the indefinite integral using the substitution x = 4 sin θ.

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Q: Find the differential dy of the given function. y = sec2x/(x2 + 1)

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Q: I Inverse Function Property Use the Inverse Function Property to show that f and g are inverses of e...

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Q: What theorem sometimes enables us to use l’Hôpital’s Rule to calculate the limit of a sequence? Give...

A: The theorem which enables us to use the L’Hospital’s Rule to find the limit of some sequence states ...

Q: Write the number $2.3 \overline{17}=2.3171717 \ldots$ as a ratio of integers.

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Q: use series to find fimi Lmit GSCX -L メーs。

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Q: Find an exponential equation y=Ce^kxt hat passes through the points (0,2) and (5,25). For what value...

A: Consider the exponential equation in terms of y and x as variables and C and k as constants. Calcula...

Q: Find the critical points, domain endpoints, and local extreme values (absolute and local) for the fu...

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Q: Vy + z f(x, у, 2) 3 (а) f(1, 5, 4) (b) f(6, 7, –2)

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Q: Two models R1= 2.98 + 0.65t and R2 = 2.98 + 0.56t are given for revenue (in millions of dollars) for...

A: Given: The revenue for the two models are:

Q: Calc 3 Question Section 13.8

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Q: Find the vectors T, N, and B at the given point.

A: Given vector and a point To find tangent vector T(t) use formula

Q: Determine the values of x for which f(x) is continuous. Write the answer in interval notation. if x ...

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Q: İt is just a question on study plan.

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Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces ...

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Q: 4. Find the points on x² + y? + z? = 25, where the temperature T(x, y, z) = x² + 4y² + 9z², %3D is m...

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Q: Determine the point(s) at which the given function f(x) is continuous. f(x) 13x-4|+8 sin (2x) Descri...

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Q: tan 3x lim sin 8x

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Q: Determine whether the series ∞∑n=1 n2−1 /n4 converges or diverges.

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Q: can you help this question?

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Q: Solve the following initial value problem: y" – 6y' + 13y = 0,y(a) = b, y'(c) = d Where a= 1, b=4, c...

A: To determine the solution of the equation.

Q: Evaluate the double integral 2. dy dx 3/x

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Q: 10 b) S," 3(z – 1)0.5 dz [x] dx

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Q: Reduce the following expressions using properties of exponentials and logarithms. eln 2+17+4 In 3 3 ...

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Q: Evaluate the integral ∫dx / √x+3√x.

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Q: 4 The partial fraction decomposition of can be written in the form of x2 – 36 f(x) g(x) where 6 x + ...

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Q: (a) Show that a polynomial of degree 3 has at most threereal roots.(b) Show that a polynomial of deg...

A: a) Let a polynomial with leading coefficient 1 and with degree 3 has more than 3 real roots. For exa...

Q: can you help this question?

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Q: An Internet bookstore charges $15 shipping for orders under $100 but provides free shipping for orde...

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Q: Find the first five terms

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Q: Use integration by parts to solve the following integrals.

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