x + 1 24. x*(x - 2)

Q: Given f(x, y) = 1æ²y then the total differential df = %3D

A: I have appended the formula used in the solution part.

Q: Find the area bounded by the graphs of f(x)=x+2,g(x)=3x²+5 , x=-1 and x=1.

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Q: y =f(x) Enumerate all discontinuities of f(x) and identify their types. If a discontinuity is…

A: We have to find the discontinu points

Q: DiFferentiate Hthe function Inx Fx)=InZ+3, X70

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Q: Derive the Taylor series about -1 of f(x) Determine its interval x2 | of convergence.

A: Here we have to find taylor series and then interval of convergence .

Q: Find the production level at which the marginal cost function starts to increase. C(q) = 0.0008q3 –…

A: We want to find when the marginal cost of the function start to increase.

Q: 7 sin x Let f(x) 2 sin x + 6 cos x Then f'(x) The equation of the tangent line to y = f(x) at a =…

A: Given problem:- f(x) =7 sin(x)/(2 sin(x) +6 cos(x))  Find:- f'(x) and equation of tangent line at…

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 30 feet high. If…

A: Given,            A conical water tank with vertex down has a radius of 13 feet at the top and is 30…

Q: Find an equation of the plane through the origin that is parallel to the plane 5x – 4y + 6z + 10 =…

A: Here we have to find the equation of a plane.

Q: tan3 -dx sec x

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Q: Evaluate/Find the following integrals. dx 3. S. 3 1+ x

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Q: 4 is a geometric series or not. If so, determine if the series Determine if (-3)" n=1 converges or…

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Q: A robotic machine fills containers with an acid solution at the rate of 150 + 4t milliliters (mL)…

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Q: Use the Ratio Test to determine the radius of convergence of Eo . x" (Use symbolic notation and…

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Q: What is the general solution to the differential equation x de = y + y cos x ?

A: Let's find.

Q: I (z sin(x) + y² )dV Evaluate 5 5 B = {(x, Y, 2)|– as *<I<,4 < y< 8,4 < z < 6} . %3D 6. Round your…

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Q: One and only one of the following functions is injective. Which one? Select one: a. f : R → R,ƒ(x) =…

A: Concept: A function y=f(x) said to be injective if there is different output for every input in it…

Q: Use integration by part to obtain a formula for f x"e*dx and use it to find S x'e*dx. 3 5x

A: We have to find the integral

Q: ²+6x +8 a. f(x) : x + 2

A: I am attaching image so that you understand each and every step.

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x)- cos (2x) 2. y =…

A: 3. y=tan(3x) cot(3x)4. y=cos x1+sin x6. y=xarcsinx+1-x2

Q: Г(x3 + 2х — 1) cos 4x dx A .3 13 x (3x² 13 sin 4x + 4 |cos 4x + C + - 4 32 16 128 B (x³ (3x² 13 |cos…

A:

Q: Which of the following is the correct definition of the limit? The lim f(x) = A, if and only if, for…

A: Explanation of the answer is as follows

Q: Let f(x) be a differentiable function with the graph of f'(x) shown below. What is the value of xf"…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: 6y y = +c Y = cx® y = None of the options

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Q: ((- +3) dt 21.

A: the given integration,       ∫0245t3-34t2+25t dt

Q: At which point(s) does the graph of  y= e((x3-2x2+3x)/(x)) have a horizontal tangent line?

A:

Q: Find an equation of the plane that passes through the point P(3, 5, 1) and has the vector n = (1, 8,…

A: As we know that; The equation of the plane which is passing through a point Px0,y0,z0 and a normal…

Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v…

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Q: x(x* +y° )°(vdx – xdy)+ y°dy = 0 Ans. (x² +y³)' = 6y° In

A:

Q: SIn?C3x) +C 4

A: To find the missing value in the integral expression.

Q: (-1,3) -2,1) (0,1)

A: Topic = Functions

Q: 9. sin“ x cos“ x dx

A:

Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: Answer(7) Linear First Order D.E. Solve the following differential equations of 1-e" dx +2(xe" –…

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Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 - 0.01x +0.000006x² (in…

A: Given

Q: 4. dy - (x-y+ 1)'dx = 0

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Q: 2.

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Q: Vx-2 4. Lim x→2 Vx2-4

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Q: Determine whether the lines are parallel or identical. X = 6 – 3t, y = -4 + 4t, z = 6 + 8t X = 6t, y…

A: A detailed solution is given below.

Q: A box with a square base and open top must have a volume of 4000 cm. Find the dimensions of the box…

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Q: 10. * S sin(In x)dx 1 C x sin(Inx) – cos(Inx) + C 2. x sin(Inx) – cos(lnx) + C 1 x sin(lnx) +…

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Q: C Solve the following problems. 16. What value of k makes the function continuous at x= 3? Graph the…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: We need to minimize f(x,y,z).

Q: Given the differential equation x+2 2y ? find the particular solution, y = f(x), dæ with the initial…

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Q: Hiw/

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Q: Use the root test to determine whether >a, converges, where An is as follows. n=1 332. a, = n/ e"

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Q: 2. Find the limiting values of 3x? + 5x - 4 (i) 5x? - x +7 as x→ 00

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Q: 8.) y Inxlny dx + dy = 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…