Find the area of the region enclosed by the curves between their intersections. y=x² and y= 2x

Q: 5. Using Geogebra, draw the polar curve, r = sin³ (2.50) +cos³(2.50),0 ≤ 0 ≤ 2ñ.

A: Consider the curve

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Q: 8. Evaluate the definite integral. a. 6 e² + 18 e² + 18z dz

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A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

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Q: 37. se sec² (10x + 7) dx

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Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

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

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Q: Evaluate the surface integral      SF · dS  for the given vector field F and the oriented surface…

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Q: 5. Find the length of the curve • r(t) = cos(t)i + sin(t)j +ln(cos(t))k 0≤t≤n/4

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1. Decide whether each of the following sentences is valid, satisfiable or unsatisfiable: a) Smoke…

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Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x + 5)2 +8(y-2)² = 32 Find…

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Q: Consider the following. f(x) = 48x − 4x2 Find  f '(x). f '(x) =        Find the critical…

A: The objective of this question is to find the derivative of the function f(x) = 48x - 4x^2 and then…

Q: Solve the following initial value problem. dr dy = x3 / x5, y(0) = 0 y =ㅁ

A: To solve the following initial value problem.

Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

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Q: 5. Consider the function f(x)=x+2x-1, whose only zeros are x = -2.1 and x 0.7. a. Find the critical…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 − x² −…

A: y=4−x2−ln⁡(12x+1), point (0,4)

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A: We have to use the concept of curl of vector field

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Q: Find all points (x,y) on the graph of f(x) = 2x2-3x with tangent lines parallel to the line y = 5x…

A: We have given function the tangent line is parallel to y = 5x + 4.Hence, the slope of the tangent =…

Q: 5+ 4 3 2 1 -1 -2 -3 -4 -5+ 1 8 + 7 6 5 4 3 2 1 -1 -2 -3 3 -5 -6 -7 -8+ 4 The graph of a function y =…

A: The graph of a function  is shown. To make a sketch of theantiderivative F, given that F is…

Q: Stoite the Fundamental Theorem of Calculus?

A: we need to write down the fundamental theorem of calculus.

Q: Find an antiderivative F(x) with F'(x) = f(x) = 5e" and F(0) = 0.

A: F′(x)=f(x)=5ex and F(0)=0

Q: Find f such that f'(x) = 9 √x f(9) = 59.

A: f′(x)=9x,f(9)=59

Q: Given the parametric equations Compute the derivative dy/dx as a function of t. -t³, y = 6-3t x =…

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Q: Find an antiderivative F(x) with F'(x) = f(x) = 6e² and F(0) = 4.

A: F′(x)=f(x)=6e2x and F(0)=4

Q: 2. Given the graph as shown, find the limits. lim f(x)= x → -2- A) B) D) E) lim f(x)= x-2 lim f(x)=…

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Q: Find the mass of a lamina bounded by y=5√x,x=9,and y=0 with the density function σ(x,y)=x+1

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Q: Find parametric equations for the following curve. Include an interval for the parameter. The left…

A: We have to use the concept of parametric equation

Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x+4)² +8(y - 3)² = 32 Find…

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Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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Q: Evaluate the indefinite integral as a power series. fin(1+x²) dx

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Q: Gilbert Strang video 'Min, Max and Second Derivative,

A: The objective of the question is to understand the concepts of minimum, maximum and second…

Q: Solve the following problem and show your complete solutions. 3. Find the area bounded by y = x³ ; y…

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