Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: √x(t) = −3+² - \y(t) = 3 + 4t The resulting equation can be written as x =

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A: Explained Below:Explanation:(a) We are given the function for the rate at which unprocessed gravel…

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Q: 15. Sketch the graph of a continuous function f with: (a) f(1) = 3, f(1) = 0 and the point (1,3) a…

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Q: (8 points) Suppose the terrain of a hillside is represented as the graph z = f(x). Suppose f(a) = c…

A: I have given detailed solution below thanksExplanation:Step 1: Step 2: Step 3: Step 4:

Q: x x h The figure above shows the design of a large water tank in the shape of a cuboid with a square…

A: (a)A=x2+x2000​(b)10 meters(c)At the point x=10 , "A" is locally minimum.Explanation:Step 1:Step 2:…

Q: 3 Parameterize y(x) = +1 using x = t sin x Ans=

A: The answer is: y(t) = (-3/sin(-3/sinx) + 1)) + 1Explanation:To answer this question, you just have…

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A: Part 1: AnswerThe producer's surplus at market equilibrium for the given product is approximately…

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A: Therefore, the required answers are a) dxd​(x​f(x))x=4​=3b) dxd​[f(x)g(x)​]=9112​ Explanation:Step…

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A: The given equation of plane is  and the given point is .

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

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Q: The estimated resale value R (in dollars) of a company car after t years is given by R(t)=23,806…

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Q: d 3 Evaluate dx √√In(6 - x²) at x = 1.

A: −15ln(5)32​2​Explanation:

Q: If then A = || 1 −1 -21 -1 21 1 -2 1 2

A:

Q: 6. Sketch an even continuous function with all of the following features: • Absolute minimum at -5 •…

A: Function is even continuous  function.  Absolute minimal at -5 Zeroes at 4 and -4y- intercept at -23…

Q: please solve  3[ln x - ln (x+9) - ln (x-9)]

A: The expression simplifies to:3ln(x2−81x​)Explanation:

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Q: Tutorial Exercise Find the arc length function for the curve y=2x3/2 with starting point Po(16,…

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Q: The volume, V cm³, of a sphere is given by 4 V = πr³ where r is its radius. 3 It is given that the…

A: Answer: 640Explanation:

Q: Problem 3. Show that the volume of the largest parallelpiped (i.e., rectangular prism with sides…

A: V = 8abc / 3√3Explanation:Here's how we can find the volume of the largest inscribed…

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A: The objective of this problem is to find the rate of change in the vertical and horizontal positions…

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Q: Find the derivative of y = cos A with respect to x. The derivative of y = cos ( 0- with respect to x…

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Q: Consider the definite integral Cx3 dx 0 How many partitions would be needed to approximate this…

A: The given integral is The error bounds for the midpoint rule If  and  be the error in the mid point…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The problem involves finding the dimensions of a lidless square-based box with a volume of 4000 cm³…

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A: x=6t2 ,y= t3-3tWe have to find interval of to for concave downward and concave upward

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A: The given integral is .We can solve this integral by integrating by parts formula method.Integration…

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Q: Solve and include restrictions for: e^(2x-3) = 2^(3-2x) (An explanation to this problem would also…

A: Answer is given below :-Explanation:

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Q: Let g(x,y)=sin(8x+6y). a) Evaluate correctly g(1,−2). Answer: g(1,−2)=________ b) What is the…

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Q: rientation toward the origin. √s F. ds =

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Q: Deriving Snell's Law from an Optimization Problem Refraction is a physical phenomenon that happens…

A: Please find the below attached solution as per the suggested steps.Explanation:

Q: Please review and solve problem 2 and explain how the answer was found. Problem will be attached to…

A: answer is attached below if you find it helpful please provide the same Explanation:

Q: Find all points (if any) of horizontal and vertical tangency to the curve x = 6+2cose, y = -2+ sine.…

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Q: Please review and solve problem 6 part 'a' and 'b' and explain how the answer was found. Problem…

A: The answers are attached.Explanation:Step 1:

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Q: If 0=34°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: Answer is given below :-Explanation:

Q: I need help with 45.

A: (45) We have proved that, f(a+b)=f(a)+f(b)Function : f(x)=x2−1 Example : f(2+3)=f(2)+f(3)⇒24=11So,…

Q: Find dy dx y=9lnx+5 loggx

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A: Thus, \log_a(abcd) = 1 + \frac{1}{\beta} + \frac{1}{\gamma} + \frac{1}{\theta}.Substituting these…

Q: Use a graphing utility to find the point(s) of intersection of f(x) and g(x) to two decimal places.…

A: Point of intersection is x = 1.46  In ordered pair:Point of intersection is ( 1.46 , 1.13 )…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: (a)f(6)=4(b)limx→2​f(x)= Do Not Exist.(c)limx→6​f(x)=2(d)limx→2−​f(x)=1Explanation:Step 1:Step 2:…

Q: If f(x) = 7 sin(2x) arcsin(x), find ƒ'(x).

A: f′(x)=14cos(2x)arcsin(x)+1−x2​7sin(2x)​Explanation:Given function is  f(x)=7sin(2x)arcsin(x) We need…

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A: Let x be the side length of base square Let z be the height of the boxThe figure of box

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A: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $9 the…