1. Find the linearization of f(x) = (x³ + 1)¹/² at x = 2 and use this to estimate f(2.05).

Q: Consider the four graphs shown below. For each graph, select Yes if satisfies the following…

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Q: (a) Use the definition given below with right endpoints to express the area under the curve y = x³…

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Q: Find the absolute extreme values for a(z) = 6 - 476 on [1,2].

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Q: d the distance from the point (5,9,-6) to the plane - 3z = amon 18.

A: we will find the required.

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Q: Find lim 1 2x217 a. x→ 0* 5 (x-6)2/7 b. x→ 0 as C. X→ 6* d. x→ 6

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Q: 4. Let y = f(x) be the solution to the differential equation = 3y - x with initial condition f(1) =…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Write the equation of the line passing through (-7,-6) and (1,1) in the slope intercept form

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Q: If f(x) = cos x + sin x, what is f"" (x)? 46 f""(x) = sinx- cos x f"" (x) = sin x + cos x o f(x) =…

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

Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: 2. Find f'(1) if f(x) = 3x³ (√x-2).

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Q: Find the profit function if cost and revenue are given by C(x)= 150 +3.7x and R(x)= 3x -0.06x²

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Q: If g(x)=√1+tdt, then find the derivative g'(x).

A: Given :- gx=∫0sinx1+tdt

Q: Let the function f(x) have the property that f'(x) g'(x) = = = x+5 x-2 ¸ If g(x) = f(x²) find g'(x).

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Q: 2. You are under contract to design a storage building with a square base and a volume of 14,000…

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Q: A typical dish antenna is built as a surface of revolution obtained by revolving a parabola about an…

A: We to find the surface area of the surface in terms of R and K

Q: Translate the given matrix equations into a system of linear equations. (Enter your answers as a…

A: Given, 01911-500xyzw = -25

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: note: as per guidelines we support only three subparts of the question . kindly repost next question…

Q: Find the derivative of the function. h(x) = ²x² - 7x + 3/x

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Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

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Q: Find the distance between the skew lines r(t) = (5, 0, – 3)t + (− 8, 7, - 2) and p(s) =(2, 1, 4)s +…

A: I have done solution step by step in detail...go through the solution

Q: A roadside wall has a zigzag pattern on it as shown. The two longest lines are each 2 m long, then…

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Q: Video Example Evaluate = √√√elt². Solution e(x² + y² + z²j3/2 where B is the ball: B = = {(x, y, z)…

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Q: Determine the price elasticity of demand E when the retail price is set at ¥800. E =   Interpret…

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Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height…

A: Solution: Given data, h = 15t - 1.86t2   a) velocity = h' (t)   → h' (t) = 15 - 3.72t   t=3 h(3) =…

Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

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Q: When a particle is located a distance x meter from the origin, a force of ƒ(x) = 3x² + 4x ~newtons…

A: Given: f(x)=(3x2+4x) Newtons from x=4 meter to x=8 meter

Q: Find the interval(s) where f(x)=x²-3x³-6x² - 2x +4 is concave up.

A: Given function:- fx=x4-3x3-6x2-2x+4

Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 16 minutes, 5.25…

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Q: x+1 ƒ ( ² + ¹) + f(x) = x + 1 X find f(x)

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Q: Question 1 Given the graph of y=f(x) in the diagram, sketch the graphs of its first and second…

A: Solve the following

Q: Name: 23 22. Evaluate the limit for the graph: lim f(x). x→2¯ a. 1 b. 3 4 y+ 4 N -2 -2 0 -2 4 Q 2 4…

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Q: Problem #3: Find the work done by the force F = 9xy i+ 12y2j acting along the piecewise-smooth curve…

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Q: Consider the following graph of the second derivative, f (x), for some function f(x): f"(x) -6 -4 -2…

A: Here, we know that  if f"(x) > 0 ⇒f"(x) concave up if f"(x) < 0 ⇒f"(x) concave down Also, if…

Q: Find all critical points of h(t) = t³/4 - 2t¹/4 and identify them as local maximum points, local…

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Q: Please find the equation of the line if the given x and y intercepts respectively is -7/4, 3/2

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Q: Derive the volume formula of the cone by integration. In doing so, (a) find the equation of the line…

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Q: (b) x2n - 2y5n 1/3 x5n + 4y² X

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. I 9 | ² ²+16 dz

A: To evaluate the following integral. ∫9x2+16 dx

Q: Consider the following graph of f(x) 101 6- 4- V 2- 3 5 6 7 8 19 10 11 X -2- 8- -4- -6- -m A -L -00…

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Q: 15. Evaluate the limit for the graph: lim f(x). *→2* 4 +∞o a. b. -1 14 A 2 -2 0 2 A C. d. 2 does not…

A: Solution:

Q: The diagram above shows the graphs of y = e-* (red) and y = x (blue). (a) State the equation in x…

A: Point of intersection refers to the point where the graphs intersect. Graph is a diagrammatic…

Q: Draw the line with an x-intercept of -7/4 and a y-intercept of 3/2

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Q: show that: 3 [ f(x) +1] = gf(x)=x²-1, x +4+3 f(x) = f(x) - X-1

A: Given that : f(x) = x2 - 1 and we show that: 3[f(x) +1] = x + 4 + 4f(x) - f(x)/(x-1).       Here i…

Q: Find f'(x) and find the value(s) of x where the tangent line is horizontal. f(x) = x²(x-12)5 f'(x) =…

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Q: 1. Determine the area bound by the following functions and double- check your answer.. y = 4x² + 1,…

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Q: A few weeks into the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of…

A: We have to solve Given question.