(b) Find the co-ordinates of the turning points of the following function: y = 3x4 16x³ + 24x² - 12 Identify them as maxima, minima or point of inflexion.

Q: 5. An electric car is listed at $60,000 and depreciates by 47% per year. (a) Find its value after 4…

A: Given: An electric car is listed at $60000 and depreciates by 47% per year.

Q: 4. Given 1 = f(x,y) dydx + f(x,y) dydx, do the following. (a). Sketch the graph of the region of…

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Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 4, f'(1) = -8,…

A: We have to find the value of h'(1).

Q: In 58, find the critical points and the intervals on which the function is increasing or decreasing.…

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Q: he time t, in minutes, between successive arrivals at an emergency room of a certain city hospital…

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Q: Differentiate. f(x) = In (4x+5)(x+8)5 (1-4X)6

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Q: The height of a dolphin, h (in metres), with respect to time, t, in seconds is given by the equation…

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Q: Order the functions by growth rate. a(x) = 85x c(x) = = x log₂ (x) + 5x! Select function ✓ Check…

A: In this question, we want to order the functions by growth rate. The given functions are-…

Q: integral. Sketch the solid whose volume is given by the integral below, and evaluate the TL "4 2π…

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Q: Given the graph of the derivative (below) identify when the function (be careful, this is the…

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Q: x 15 and x # 6

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Q: The cost c in terms of the quantities 9₁ and 92 produced of good 1 and good 2 is given by c = 200 +…

A: differential

Q: Find // VdA, + 1 R -dA, R= [0,3] × [−1,1]

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Q: Find L x²dA where R = {(x, y) | R {(x, y) | 9x² + 25y² ≤ 225}

A: We have to evaluate the double integral.

Q: Answer: Find the area of the region inside r = 5 sin but outside r = 3

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Q: 1) Verify that the function z = ln(e + e") is a solution of the partial differential quation 8²z8z…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (6,-4) + t(1,-4)…

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Q: Two sides of a triangle are 14 and 4. Find the size of the angle θ ​(in radians) formed by the sides…

A: we will find the required.

Q: what do the following quantities represent? (a) f(20000) ---Select--- cost of building a store of…

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Q: 1) Lines I, n and m are parallel. Find the measures of angles a through e. a = b= C= d= e= 2) Find…

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Q: Approximate the sum of the series correct to four decimal places. (-1)^ 4^n! S≈ 00 n = 1

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Q: Given f(x, y, z)=√x+6y-52, find fz(x, y, z)= 1₂(x, y, z)= f.(x, y, z)=

A: Partial Derivative

Q: Evaluate the following indefinite integrals. cos(tan-¹) 1+x² (a) [ (b) / tan³ z dr. dx.

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Q: 14₁ 6₁1) (1x) = +9=2 #1. Find T₂(x)) Taylok polynomial

A: Please see the below picture for detailed solution.

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

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Q: 8. farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into four…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v…

A: In this question, we want to find the directional derivative of the given function h at the given…

Q: (9) (a) Find the equation of the tangent plane P to the paraboloid z = = x² + y² at (1, 2,5). (b)…

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Q: tt (seconds) 0 2 4 6 8 Velocity (ft/sec) 0 2 8 14 30   Shown in the table is the velocity of a car…

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Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

A: we need to find out the maximum revenue, maximum profit,

Q: → → Find the dot product between vectors a and b, given →→ →→ → d=3i-jandb=2i+j+4k

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Q: Sketch the graph and plot the points listed

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Q: Find the area of the shaded region. 2- L -24 y=x-2 + 2 3 4 square units y=√x X i

A: Topic = Area

Q: (a) If f has an inverse, then f-¹(x) is always the same as f(x) True False (b) If f has an inverse,…

A:

Q: 2) Find the local maximum and minimum values and the saddle points of the inction f(x, y) = x² + y²¹…

A: Please see the below picture for detailed solution.

Q: A lamina occupies the part of the disk x² + y² ≤ 36 in the first quadrant. Find its center of mass…

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Q: n=1 ncosan ૦૬, Itn³ 3

A: Solution: ∑n=1∞πcos2(n)1+n3Apply the constant multiplication rule:=π·∑n=1∞cos2(n)1+n3

Q: Tex Evaluate 1+25e²x -∞ -dx. Then select the correct choice. Select the correct answer below: O The…

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Q: If g(x) = x² + 8x with x ≥-4, find g-¹(9).

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Q: Given the demand function D(p) = 225 - 2p², Find the Elasticity of Demand at a price of $1 At this…

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Q: The profit function of a business is given as P (x) = −x2 + 54x + 70. How many units must be sold to…

A: Please see the below picture for detailed solution.

Q: Suppose that f(x, y) = 6x + 8y and the region D is given by {(x, y) | −1 ≤ x ≤ 3, −1 ≤ y ≤ 3}. D a…

A: Given that , fx,y=6x+8y and region D is given by x,y | -1≤x≤3 , -1≤y≤3 find the double integral of…

Q: A couple from San Diego needs $20,000.64 as a down payment for their first home. If they invest the…

A: Solution- Initial amount (P)=$8000 Required future amount (A)=$20000.64 Rate(r)=6% n=2(compounded…

Q: a. Solve the system u = 3x + 2y, v=x + 4y for x and y in terms of u and v. Then find the value of…

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Q: 4 The volume of a cantaloupe is approximated by V=3. The radius is growing at the rate of 0.5…

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Q: Consider the function g(x)=√x + x² where g'(x) = ¹ + 2x 3x3 a. Determine g'(x) b. Determine the…

A: The given function gx=x3+x2 and g'x=13x23+2x. We have to find the inflection points and the…

Q: LINEAR DIFFERENTIAL EQUATION 3 ; y ( ¹ ) = 3 1.) dy dx + 24 x

A: As per the rules we can answer the first question and rest others can be reposted, to find out the…

Q: Find the area of the region contained inside the unit circle {x² + y² = 1} and outside the rose…

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Q: 7x f h(x) = (1 + 4) ¹*, find lim h(x). X→∞

A: Please see the below picture for detailed solution.