f(x) = x³ - 27x + 8

Q: 3. Given that w = xyz + y² + x + 1, x = et, y = 82, 2=t+1. ) Find Ow/as. (b) (c) Find 0w/Ot. Find…

A: Given that .(a) To find .(b) To find .(c) To find .Note: Since the student has posted many sub-parts…

Q: A golf ball manufacturer knows the cost associated with various hourly production levels, given…

A: Production cost for golf balls is given as,

Q: 4. COS V sin v = csc v sin v 5. cot(a) cos(-a) + sin(- α) - csc (α)

A:

Q: Find the ² points on the curve y = (x − 1)(x² −4) where the tangent line is parallel to y = −4x.

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

Q: Use the Gauss-Seidel iterative method to solve the following system of equations. Remember to show…

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Q: A boat is pulled by a winch on a dock, and the winch is 12 feet above the deck of the boat (see…

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Q: 10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as…

A:

Q: Consider the function f(x) = { 4x² =−x+5c_if x ≤ 2 - 4x if x > 2 For what value of c is the function…

A: given function

Q: Find an equation of the tangent line to the curve at each given point. x=2-3 cos 6, y = 3 + 2 sin 8…

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Q: Use the function f(x)=x^2-6x+13 to answer how to algebraically find the vertex.

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Q: x2-8x-48 3) lim (2-22x+120. 5) =

A: Given Expression is as follows

Q: Find the general solution of the differential equation below and check the result by…

A: given differential equation

Q: Solve the following differential equations using HOMOGENEOUS DE. Show your complete 3. (x²y + 2xy² -…

A: The given differential equation

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: 1 Let f(0)= sin(0) + cos(0). √√3 Calculate the derivative. [Note: to get the to show up type theta,…

A: Consider the function

Q: y′′ − y′ = x The equation has a particular solution of the form y = Ax + B (for some constants A and…

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Q: Find the direction cosines and angles of u and show that cos²a + cos² ß + cos² y = 1. (Round your…

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Q: e,f,g

A: By using previous solution sign Table xf'(x)Positive zeroNegativeDNENegativezeroPositive

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: The function is given byTo determine: The absolute maximum and minimum values of the function.The…

Q: Given that f(x) = x³h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1). -20 Hint: Use the product rule and the…

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Q: Evaluate the following limit. lim x³e -x² xxx = Note: Input DNE, infinity, and -infinity for does…

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Q: If the governing equation is do + 1 = g(t), what is the solution g 20 dť² when g(6)=0 and when g(t)…

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Q: Find the indicated trapezoid approximations to the following integral. 18 [9x² 9x dx using n = 2, 4,…

A: Consider the given information.

Q: Find aw/as and aw/ât using the appropriate Chain Rule. Values Function w = y³ - 2x²y x = es, y =et S…

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: The given graph

Q: (a) Find parametric equations for the line segment that joins the point P(2, 3, -3) to the point…

A:

Q: Use the alternative form of the derivative to find the derivative of the function f(x) = x³ + 8x, X…

A:

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4+x² - y2…

A: The given function  and region R

Q: Solve the given initial-value problem. y(x) = 2y" + 3y - 2y = 10x² - 4x 13, y(0) = 0, y'(0) = 0 -

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Consider the function f(x) = 2x³ – 2x on the interval [-5, 5]. (a) The slope of the secant line…

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Q: (c) lim x-3 1 x +3 + 3 x² + 3x, 3

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Q: Find the solution of the following problem. y' - (x + y)(x + y +3) = 1

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Q: For which value of t does the line given by the parametric equations x = t - 1, y = 1+ 2t, z = 3-t…

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(3t)] when t = 0. (b)…

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Q: Does the series below converge or diverge? If it converges, find its sum. Either way, justify your…

A:

Q: Given C = x³ – 6x² + 9x +4 13 a) Find C'(x) = Find any critical values of C'(x) b)x= Use interval…

A: Given,

Q: Estimate f (5.06) for f as in the figure. y=f(x)/ ƒ (5.06) ≈ (4,2) (10,4) Tangent line X (Give your…

A: The figure is given as,Estimate

Q: Let f(v) = v +17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: Given,

Q: Suppose that lim ƒ(x) = 0, lim g(x) = 0, lim h(x) = 1, limp(x) = ∞, and x→a x→a x→a x→a lim q(x) =…

A:

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. maximum value:…

A: To find the maximum and minimum values of f(x,y)=xy on the ellipse 5x^2+y^2=4, you can use the…

Q: Find a general solution of the differential equation 2 dy dx You may leave the solution in implicit…

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Q: 7.2x dy + y(2 + y²x) dx = 0

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Q: The given curve is rotated about the x-axis. Set up, but do not evaluate, an integral for the area…

A: Recall:Area of the resulting surface rotated about the x-axis :If the curve y= f(x) ,…

Q: Find the critical numbers of g(x)=x√4x, x < 3. If th

A: g(x)=x4−x,

Q: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

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Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X +

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Q: Work of 4 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Evaluate the indefinite integral S 16 (49 - x2) 19/2 dx

A:

Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: 2) Draw a direction field for the given differential equation. Based on the direction field,…

A: