Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

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Q: Find the area between y = 1.1z + 5 and y = 2? – 4. The graphs intersect at z = - 2.5 and z = 3.6. 10...

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Q: Question 7 4dy Evaluate the integral ; 5y +2 (A In|5y +2| +C 5 (B -2미by+ 리 + C In|5y +2| + C (D In|5...

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Q: 1 Let an = n > 3. n ýln n Without computing any limits, use the Monotone Convergence Theorem to dete...

A: Given

Q: 4. § dx – dx x In x

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Q: 5. Use the definition of the Taylor Series to find the Taylor Series for the function f(a) 2- cos(x)...

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Q: lim ("V52"-1 52n-1

A: F

Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1 x-intercep...

A: Given query is to find the rational function with given characteristics.

Q: Solve log3 (2 – æ) = 3. |

A: Solution: log3(2-x)=3

Q: 13. S: 5x dx x5-3

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Q: Write the differential equation modeling this situation. dy dt

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Q: 3 dy 4y-3

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Q: Solve the given third-order differential equation by variation of parameters. y'' + y' = cot(x) y(x)

A: First we write complementary solution then find particular solutions then find general solution. 

Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is S6 (the Simpson's ...

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Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

A: The given data is: C'x=-0.00001x2-0.02x+46 for x≤1300 Approximate the total cost of manufacturing 13...

Q: Solve the given differential equation. x2y" – 6y = 0 y(x)

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Q: What are the inflection points?

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Q: 4. A container with square base, vertical sides, and open top is to be made from 1000 ft2 of materia...

A: Volume of box is x2 y where x is the base and y is height of the box. 

Q: 7. Se* (1 + 2e*)* dx

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Q: 5. у+x%3D y+x = /x² + y²

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Q: 11 1 Calculate the following limit. Let an = and bn = Vn + In (n) (Give an exact answer. Use symboli...

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Q: २२ 221 find the Pur Pe

A: In this question we will use basic concepts of calculus i.e concepts of limits and continuity. Solut...

Q: Write a polynomial f(x) that satisfies the given conditions. Degree 3 polynomial with integer coeffi...

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Q: Verify that the series n4 + 1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

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Q: For what numbers​ x, −2π≤x≤2π​, does secx=​1? For what numbers x does secx=−​1?

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

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Q: y = 4x2 + 16x + 9

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: find (y') by Implicit differentiation x² tan(y) + y10° sec(x) = 2x

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Q: dy 9. Find for y=xVx+ 1

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Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

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Q: Kyra is building a dollhouse. The carpet for the bedroom is 27 square inches. The length of the bedr...

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a...

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Q: C(x) = 0.01x-0.3x + 9x gives the cost, in thousands of dollars, to produce x thousand items. (a) Fin...

A: (a).C(x)=0.01x30.03x2+9xC'(x)=0.03x2-0.6x+9 (b)C'(0)=9    

Q: 2. A triangle has a height that is increasing at a rate of 2 cm/s, and its area is increasing at a r...

A: Area of the triangle , A =12(Base)(Height) Product Rule of Differentiation : du.vdt=u.dvdt+dudt.v

Q: Solve (D² – 1) y = e-2* sin (e-*)

A: Given differential equation (D2-1) y=e-2x sin(e-x)

Q: f (x) = x² + 4x

A: Follow the odd, even function rule.

Q: 1. S 5e* dx 2. S(2 – 3e*) dx 3. S 72x+3 dx 4. S dx x In x 3 dy 5. S 4y-3 6. S dx 2 x+5 7. Se* (1 + 2...

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Q: A population P obeys the logistic model. It satisfies the equation dP 7 Р(11 — Р) for Р >0. 1100 dt ...

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Q: An equation of the plane passing through A(2,1, –1), B(0,–2,0), and С (1,-1,2) is: 7х — 5у — z %3 10...

A: We have to find an equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2).

Q: Solve the given differential equation. 25x?y" + 25xy' + y = 0 y(x) = ,x > 0 %3D

A: We have to find solution of given differential equation.

Q: Anote card company has found that the marginal cost per card of producing x note cards is given by t...

A: To find: The total cost of producing 580 cards. Given information: The marginal cost per card of pro...

Q: What is the laplace inverse of 5 - 3e-30 – 2e-70 že-7s

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Q: Solve x (t) – 2y (t) + z (t) = -3 x' (1) + y' (t) – z' (1) = 2 x' (1) + 2x (1) + z (1) = 1 where x (...

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Q: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Area of triangle =( base *height )/2 Area of semicircle = (π(r^2))/2

Q: Consider the series > and n=1 Vn3 + 3n – 1 n312 n=1 Write an inequality comparing 1 1 to for n > 1. ...

A: Please see the below picture for detailed solution. 

Q: sin" (=)fit exists. Find the value of P T12 + if it exists.

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Q: Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b) ...

A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

Q: Consider the function f(x) 4x +4x 8. f(x) has a critical point at 2 = A. Find the valtue of A: A = A...

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Q: An arch in the shape of a parabola has the dimensions shown in the figure. How wide is the arch 7 ft...

A: An arch in the shape of a parabola has the wide 18ft and height 9ft.