Find the derivative of g(x) = x² ex

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: The elasticity of  x = f(p) = 1,875 - p2 when p = 10 is a can not be calculated b elastic c unit…

A: Given that, x = f(p) = 1,875 - p2

Q: How does d/dx(xy^2) work?

A: We need to evaluate the following: ddxxy2 Product Rule: ddxfxgx = fxddxgx+gxddxfx

Q: Sketch the graph of a continuous function f on the given domain that satisfies all conditions. f has…

A: f has domain [0, 6]; f(0) = 0; f(6) = 4; increasing and concave down on (0,6)

Q: 2. (3-3Sin2x) dx seczx (cox-six) 1

A: We have to solve the given integration.

Q: The cost of manufacturing x electric woks in one day is given by C (x) = 2x³ – 16x² + 4x and the…

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Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) :…

A: We have to use cylindrical coordinates in order to find the volume of thegiven region.

Q: Find dy/dx by implicit differentiation. y = sin xy dy/dx =

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Q: Find the slope of the line tangent to the graph of f(x) = 1/(2x−3) at the point x = 1 and please…

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Q: f(x) = cos² X-T 2 ; g(x) = sin(x) +ln(cos(x)); k(x) = cos(√x - √e) ln(√x - e); h(x) =…

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Q: Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x +…

A: f(x)=-3x2-2x-3(i) f(x+h)=-3(x+h)2-2(x+h)-3

Q: d²y Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: The relationship between the price and the demand of a certain product is described by the equation…

A: Given price function  p + 0.03x = 143  p = 143 - 0.03x

Q: Evaluate the given expression. Take ;] A ·|- 11 0-2 -2 2 4A + 0.5C and C= 1 [B] 1 -1

A: We have  A=0-2-2021C=1-111-1-1

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

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Q: 2r cos 0 Replace the polar equation r= (csc 0)3e2rc with an equivalent Cartesian equation. T

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Q: Explain why the rate of change of the radius of the sphere is not constant even though dV?dt is…

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Q: Find the length of the parabolic segment r = 4 1+ cos 0 A 0≤0s-

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Q: Determine an equation of a plane that is perpendicular to the line [x, y, z] = [1, 1, 1] + t[1, 2,…

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Q: Calculate the integral of f(x, y, z) = z(x² + y² + z²)−³¹2 over the part of the ball x² + y² + z² ≤…

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Q: Find the area under one arch of the cycloid. x = 3a(t - sin t), y = 5a(1- cost)

A: The solution is shown below-

Q: The unit cost, in dollars, to produce tubs of ice cream is $9 and the fixed cost is $16614. The…

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Q: Expand f(x) = 4x² + 10x + 10 as a power series around x = -1. f(x) = (x + 1)² + (x + 1) +

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Q: Please show your work (i.e., provide an explanation of your final solution) to receive credit. If…

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Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

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Q: Approximate the area under the curve Y=x3 from X=1 to X=4 using a Right Endpoint approximation with…

A: To find out the area under the curve using the right endpoint approximation with n=6

Q: A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium…

A: The given data is: A common inhabitant of human intestines is the bacterium Escherichia coli

Q: Evaluate the double integral over the given region R. Syx cos x da dA R R: -1sys1, 0≤x≤

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Q: Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at…

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Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: Find the final amount in the following retirement account, in which the rate of return on the…

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Q: At t sec after liftoff, the height of a rocket is 2t2 ft. How fast is the rocket climbing 3 sec…

A: Given:-The height of rocket ht=2t2

Q: 1. Find the equation of the line: a. With a slope of-through the point (6,4) b. Through the points…

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Q: Determine the intervals on which the function is concave up or down. 1 – 1 t w(t) = +6 (Give your…

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Q: Where (x-value(s)) on the curve y = the greatest slope? Answer format example: 7/3 or Answer format…

A: The given curve is: y=1+x2-1

Q: Evaluate the iterated integral In 3 In 5 S + 3y dy dx

A: The given iterated integral is:∫0ln 3∫1ln 5 ex+3y dy dx

Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Solving the following problem

Q: Find the volume of the region bounded above by the surface z = 2 cos x cos y and below by the…

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Q: Find the local maxima, local minima, and saddle points, if any, for the function z = 5x³ - 30xy -…

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Q: The statement that best describes the end behaviour of the graph of g(x) = 3x(x-3)(x-2)(x + 1) is…

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Q: Problem #1: Which of the following planes are parallel (or equal) to the plane x + 4y +32 = 2?…

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Q: Find the cross product a x b. a =j+ 6k, b = 5i - j + 4k Verify that it is orthogonal to both a and…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: The total profit (in dollars) from the sale of x skateboards is P(x) = 30x – 0.3x² -250, for 0 ≤ x ≤…

A: Given Profit function:- Px=30x-0.3x2-250

Q: 14. Solve the initial value problem du = ² + 1 with y(0) dy = 1. dt Oy(t) = Oy(t) = t³+t-1 Oy(t) =…

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Q: (a) Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose radius rate…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: x²-4x+3 1. Compute limx→3 x-3 Oo 01 02 03 ONone of these

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Q: Find the solution to  x' = y - x + t y' = y if x(0) = 2 and y(0) = 4 x(t) = ? y(t) = ?

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Q: art 1 or what value(s) of x does the graph of have a horizontal tangent? C = art 2 Differentiate the…

A: For calculating horizontal tangent for  f(x)=10x^3-15x^2-60x-30 Where it's derivative is equal to…