The y-intercept of the parabola y = - (x-20)^2 + 100 is

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Q: Bonus ( Show that given R: x € [0,1] Ay € [0,2] [[3x²yexydy dx = 6

A: See this solution in below

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: Write a function of x for each rule given. a) Multiplies the input by 3 and then adds 9 b) Adds 9 to…

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Q: Q4A)Find area bounded by y = 0, y =√x-x² using double integration.

A: In this question, we want to find the area bounded by the given curves.

Q: Find the general solution of the following differential equation. y" - 11y' + 18y = 0 NOTE: Use c₁…

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Q: What is the average value of f(x) between x = 1 and x = 5 forf (x) = 2.t? 32 O 31 O 10.82 9.28

A: Average Value of f(x) between x=a and x=b , favg= 1b-a∫ab f(x) dx

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Q: The displacement (in feet) of a particle moving in a straight line is given by  s = (1/2)t2 − 9t +…

A: Use instantaneous velocity concept

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A: Given  A=7716-32-72-113214432-59   λ=-3,5,5

Q: Q4A) Find area bounded by y = 0, y = √x-x² using double integration.

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…

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Q: |3a) f(x) = −2 (+)* Make a table of values: Graph the f(x) 10 8 0644 -24 -4 -61 -8 10⁰ Growth or…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: At which value of x is the function whose graph is shown below differentiable? 8 N 4 -2 0 2 4 6 -8…

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Q: ow that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: To find the direction derivative.

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

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Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…

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A: Given that, the function is fx=45x54 and the interval is 0,16. Note that, the formula for the arc…

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: We have to find area bounded by the given curve.

Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 14(s -…

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Q: Find the volume of the region that lies below the parabola y2 = x and above the x-axis the interval…

A: Given curves is y2=x

Q: 11. What point on the curve y = x4, does the normal have a slope of 16

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Q: Q6A)If y=sin-¹ find Zxy.

A: partial derivative

Q: Let f(x) be defined as below. Evaluate f f(x) dx. X f(x) = 7 9 оо 6 1 ·x 0< x≤2 2 < x≤4 4 < x≤6

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Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina

A: General equation of differential equation.

Q: 2. Evaluate 6x²e4x³ dx.

A: Let 4x3 = t

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Q: Find the acute angle between the line joining A(1,2,3) and B(5,1,7) and the plane containing point…

A: This question can be solved using the concept of angle between line and plane.

Q: Find the general solution of the differential equation y" — 4y' + 104y = 0. NOTE: Use c₁ and ce as…

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Q: Determine whether the statement is true or false. True O False 00 [IF If ["f(x) dx and " g(x) dx are…

A: Convergence and Divergence. If the limit exists and is a finite number, we say the improper integral…

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200,…

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Q: Use the Inverse Function Theorem to find (h-¹)' (7) given that h(x)=√10x + 9. Note that h(4) = 7.…

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Q: Given f(x) = 3-5x³, use a table to estimate the slope of the tangent line to f at the point P(0, 3).…

A: According to question,Given Function,fx = 3-5x3P0, 3Qx, fx

Q: 17 What is the degree of vertex 4? O 1 ez el V2 V₂ Des

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Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: Given

Q: 22 Find the number of connected components for the graph below. b 1 2 3 4 a. 8 d C h

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Q: Question 8 Find the partial derivative of z with respect to x None of the choices dz (2r−y) да…

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Q: ▪ Find equation of plane which is containing Points A(2,1,1) and B (7,5,2) and normal to 2 x - 3y -…

A: Please follow the next step.

Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: Here, the eigenvectors corresponding to λ=-3 is 011

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Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: let a=2+7i b=4-2i Choose the correct result of a*b* O24+22i O22+221 O22+241 O 22-24

A: complex number multiplication

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Q: the complex number 6√3+6i in polar form 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

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Q: Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x² + y²…

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