Let a = < 4, 1,4 > . Find al. − −

Q: Consider the curve 1x² - - 2xy 1y³4.25. (a) Find an expression for y'. y' = (b) P(-1.5, 1) is on…

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Q: Let f(x) = 4x² - 2x4. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: [√² √sec²z - 1

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Q: 4. Point of Diminishing Returns Assume that an advertising campaign is launched for a new product…

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Q: Q9 Given g(2) = 3 and g'(2) = 5. Evaluate f'(2) where f(x) = 5g(x) (a) 15 (b) 0 (c) 25 (d) 10

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Q: Find the derivate of the functions: a) f(x) = -3x²³ -4 sxt9 · f'(x) = (6) g (v) = 3 2√² +5V-9 g' (v)…

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Q: The region bounded by f(x) = −4x² + 16x + 84, x = 0, and y = 0 is rotated about the y-axis. Find the…

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Q: Find the derivate of the function: a) f(x) = x²(x²-8) F'(x) = 2 b) f(x) = (5x²³-7) (6x + 1) = 3 c)…

A: Since you have posted multiple question in this question so i have solved the first three subpart…

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: The given function is: hx=2x3-24x

Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 115 +…

A: Solution: Given data, P(t) = 115 +t-83e0.02t where t is the week and 1≤t≤52.…

Q: Find the derivative of the function. y = In(3x²-x) + 4x

A: y=ln3x2-x+4xd dx(lnx)=1xd dx(xn)=nxn-1

Q: In this problem, p is in dollars and q is the number of units. Suppose that the demand for a product…

A: Given: Demand for product is given by 2p2q = 30000+9000p2, where p is in dollar and q is the number…

Q: Determine if Rolle's Theorem can be ap- plied to f(x) = x² + 3x - 18 x + 3 on the interval [-6, 3],…

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Q: Sketch-the-graphs.y = x² + 1, y = -x² + 2x + 51

A: we need to sketch the graphs of the function.

Q: Answer the following questions. 1 A function f is given by f(x) = (x+1)|x+3| x+3 (a) Express f(x)…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 9…

A: We will use standard method to change it into polar coordinate.

Q: Find the derivative of the function. y ✓ = In (3x²-x) + 4x

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: The perimeter of a rhombus is 68 inches and one of its diagonals measures 30 inches. Find the area…

A: Topic = Geometry

Q: Evaluate the limit using L'Hospital's rule if necessary lim (1 + 4) * I→∞

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Q: Q8 Find the slope at x = 2 on the graph of f(x) (a) -3 N/W (b) 3/3 (c) 3 4 = 3 (d) 0

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Q: x² 2 ,0sxs Find the length of the curve y=- 3√5 2

A: To find the length of the curve y=x22, 0≤x≤352.

Q: 16. A limit exists if both the right-hand and left-hand limits are equal. 17. A jump discontinuity…

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Q: Find an equation of the sphere with center  (3, −7, 3)  and radius 5. Use an equation to describe…

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Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

A: We have to find m'(-1) and n'(6) Where m(x)=f(x).g(x)        n(x)=g(x)/h(x)

Q: The average rate of change of f(x) = X a. 2 b. 0.5 over the interval 1 ≤ x ≤ 2 is c. -0.5 d. -1

A: we will find the required.

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

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Q: K For the following demand function, find a. E, and b. the values of q (if any) at which total…

A: Given p = 700e-0.2q

Q: Find the value of x on the graph of y = x² where the slope is 16. (a) 4 (b)-4 (c) 2 (d) 8

A: To find the value of x on the graph of y=x2 where the slope is 16.

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: The weight of a fish varies jointly as its girth and the square of its length. One fish weighed in…

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Q: Solve Ч 3ху= 4'=45х +уз

A: Given differential equation:- 3xy2y'=45x4+y3

Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

A: Given: fx=ln8xgx=9 sin4x Red Cord: f'c Green Cord: g83π Blue Cord: f''c where, c is a constant such…

Q: A chemist has three different acid solutions. The first acid solution contains 25% acid, the second…

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Q: the answer is incorrect

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

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Q: ind the derivative of the function. y = e-7x In(4x)

A: y=e-7xln4xd dx(lnx)=1xd dx(ex)=exd dx(a.b)=adbdx+bdadx

Q: Consider the function ƒ(x) = −2x² + 8x – 3. f(x) has a critical point at x = A. Find the value of A:…

A: Application of Derivative

Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

A: We find the first and second derivatives using the power rule F(t)=3t5-20t3+20F'(t)=ddt3t5-20t3+20…

Q: 9. 87 12 5 -

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: To find where the function is increasing or decreasing.

Q: Find the derivate of the function F(x) = x²(x²-8) a) C 2 6b) f(x) = (5x²³²-7) (6x + 1) F'(x) = c) 5…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: у-х-2 (1-1) х-у

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Q: 15

A: Given: The instantaneous rate of change is determined by finding the difference quotient over a very…

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: To find out the critical points, increasing and decreasing intervals and also the extrema and at…

Q: - Find the inflection points of f(x) = 2x¹ + 10r³ — 18r² + 7. (Give your answers as a comma…

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Q: Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the…

A: We are asked to find the  elasticity of demand

Q: Determine the average rate of change of the function over the domain graphed. (-3,5). y (3,5) 41 2…

A: From the given graph  of the function f(x)   The function is defined for the interval [-3,3]   To…

Q: A volume is described as follows: 1. the base is the region bounded by x = y² + 8y + 50 and x = 2.…

A: A volume is described as follows: 1. The base is the region bounded by x=-y2+8y+50 and x=y2-22y+138.…

Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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