-1 Sketch the function fx) = indicating any extrema, points of inflection, and vertical asymptotes. %3D x* +1

Q: Given the cost function for a product: C(q) = -0.00932q + 0.196q? + 1.43q + 36, at what level of…

A: Find your answer below

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: Find the relative maximam/minimum values of the fuction てキX Stak where the Function S increasing of…

A: For a given function, y = F(x), if the value of y is increasing on increasing the value of x, then…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Integrate nos. 1 1. f sin sin dx

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Q: S 4x* sin2x dx A (2xª + 6x² + 3) cos 2x + (4x³ + 6x) sin 2x + C C (2xª – 6x² • 3) cos 2x + (4x³ –…

A: Integrating by parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx dxndx=nxn-1 ∫cos(ax)dx =1asin(ax)+C ∫sin(ax)dx…

Q: dy +y=e' xp

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Q: 00 The series is convergent. n2 + cos? n n=1 This statement is true by the alternating series test.…

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Q: Derive the Maclaurin series for f(x) = Cos x. Calculate the radius of convergence. What is the value…

A: The given function is : f(x)=cosx.

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of V…

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Q: 2. Determine x >0 for each case: 5903 = x (mod 60), 17342 =r (mod 5).

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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: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

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Q: if -2 <x< 0 f(x) dx where f(x) = 4 x2 if 0 < x< 2 -

A: This question is based on definite integral properties.

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

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Q: Content: Derivatives of Exponential and Logarithmic Function Summative Number: 3Q3 Part 1.…

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Q: Solve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y…

A: Using bernoulli's differential equations, solve this differential equations.

Q: Given the area in the first quadrant bounded by x2 = 8y, the line y – 2 = 0 and the y-axis. What is…

A: Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. Find…

Q: 2. g'-yso ylo)=2 gilo): -2 y'Co)= y'(0)= -2 : -2

A: Given: y''-y=0, y0=2, y'0=-2 So, we can also write as: D2-1y=0   The auxiliary equation is: m2-1=0

Q: St' sin(2t*)dt (sin(2t*) - 2t*cos (2t*)) + C (sin(2t*)-2t cos (2r*)) +C 14 1 (sin(2t*)-2t cos (2t*))…

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Q: Given the parametric function fill in the table. x (t) = t3 - 2t %3D y (t) = t - 3 t x -2 -1 1 2.

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Q: 2. Let a, b e R and let f be the function Z + Z defined by f(z) - ar + b. For which values of a and…

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Q: pls show full solutions and clear   1. Show that the absolute value function is continuous at x =…

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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: Given z = sin(1 - 2). x = 2 – ts and y = 2t – s - then calculate when t = -1 and s = -1. dt

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as…

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Q: Find the gradient of the function at the given point. g(x, y) = 4xey/x, (11, 0) Vg(11, 0)

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Q: Which graph closest models the following parametric equation on the domain -2 < t < 2? x (t) = t3 –…

A: Given that       x(t) = t3 - 2t      y(t) = t2 - 3

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1,…

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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: Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal…

A: Given

Q: ²+6x +8 a. f(x) : x + 2

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

Q: 22. Which of the following statements about the functions y = f(x) and y f(x) is true? A. If the…

A: Here, to find the correct statement for the functions y=f(x),y=1f(x)

Q: What is the solution of the differential equation y' + 6y + 25y = 64e-3 ? %3D

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: 1) Determine whether the following series is convergent or divergent: 1 1+ 8 1 1 1 +... 125 27 64

A: We have to find the convergence test

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: wing. y = x2 y = 6 - x 10 8- 6. (a) Find the area of the region by integrating with respect to x.…

A: Here, the given region is bounded by the curves: y=x2, y=6-x The intersection point can be found by…

Q: Determine whether each improper integral below converges or diverges. dx 3. S. x* + 2x – 3

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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 an equation of the plane through (-8, –4, –5) that is 2 = t, y + 3 | perpendicular to the line…

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Q: 5-(1+x')(dy-dx)= 2.xydx;

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

A: Given problem:- Find the directional derivative of the function at P in the direction of PQ. f(x, y)…

Q: Compute the surface area of revolution about the x-axis over the interval [3,6] for y = 4x + 4. (Use…

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Q: 9. sin“ x cos“ x dx

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Q: v +3v° dv 35.

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Q: Determine the area, in square units, bounded above by f(r) = x2 + 10x + 25 and g(x) = -x +1 and…

A: Topic = Area The area is 323.

Q: 2 + x? -dx •4 29.

A: We have to find the integral

Q: y = 1 - x 2- 1- 3 -3-

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (19, 5, -1)

A: To find the gradient of the function at the given point.