LILL Hours spent studying 2 Graph B 4 6 8 Hours spent in class d. What is the equation for Graph B? Use s for hours studying and c of hours in class. 10 12

Q: Find the area bounded by the curve y=x^2 and the x-axis and the lines x=1 and x=3.

A: Given: y=x2, x=1, x=3, and x-axis or y=0. So, from the given curves the bounded region is as shown…

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Q: Question 19 -6 -5 -4 -3 -2 구 -2 244 1 + -2 -3 -6- -7 k(w) Find an equation for the graph above.…

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Q: So if I write the position vector r(t)=OP=, is it correct? or does it has to be r(t)=<x,y,z

A: Solution is here

Q: (4x²y² - x² + 4xy² - x) dx + (2xy + x + 2y + 1)dy = 0

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Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞, 00). f₁(x)…

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Q: The function h(t) = ... gives the height from the ground of a ball thrown upwards. The time t is in…

A: We have to find the height when the ball is thrown, initial velocity, the average rate of change at…

Q: Consider the following function. f(x) = x¹/⁹ + 5 (a) Find the critical numbers of f. (Enter your…

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Q: Examine the function for relative extrema and saddle points. (If an answer does not exist, enter…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(1, 4, 8),…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: We need to fill in the blanks.

Q: For the differential equation y(n) + P₁(t)y(n-¹)+...+Pn(t)y=0 with solutions Yı, •, yn Abel's…

A: We have to find the Wronskian of a fundamental set of solutions of the differential equation.

Q: Find the gradient of the function at the given point. w = 5x²y-7yz+z², (1, 1, -2) O 15i+ 26j+ 11k O…

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Q: (2xy - x + 2y - 1) dx + (8x² y² -2x + 4xy² − x) dy = 0 -

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Q: Consider the following second-order differential equation. 3y" + 2y' + y = 0 Find all the roots of…

A: We have to find the general solution.

Q: Given g = 67 + 7 and ủ = 8ỉ – 73, find ||ỹ + ū|| and ||ģ|| + ||ū||. Give EXACT answers. You do NOT…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Write a polar equation of a conic with the focus at the origin and the given data. parabola,…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Solution ) we have option 3rd  y"+ 4y = 0 Auxilliary equation  m2 + 4 = 0 m2 = -4 m = √( -4 )  m =…

Q: Find Magnitude and Direction (Angle) Giving the Vector Given the vector u = -47 +17, find the…

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Q: 1 r= 1 + cos !

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Q: force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the Give the…

A: This is a problem related to 2nd order differential equation of the newton's law of spring motion.…

Q: Find the Jacobian (x, y)/(u, v) for the indicated change of variables. x = 3u - v, y = 2u + 6v a(x,…

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Q: Solve for a in the triple integral. (Enter your answers as a comma-separated list. f3-a-y2 ↑4-x-y dz…

A: ∫01∫03-a-y2∫a4-x-y2dzdxdy = 14/15 here we have to find value of a  so integrate this and after  put…

Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00).…

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. - 1/2 (u = v), y = 1/2 (u…

A: Jacobian ∂(x,y)/∂(u,v)= ∂x/∂u* ∂y/∂v - ∂y/∂u* ∂x/∂v

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = 8x-4xy+3y,…

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Q: You're studying anacondas in tropical South America, and you've decided that a particular…

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Q: Find the derivative of the function using Chain Rule. f(x) = (2x-5) ¹ (4x+3) Given -2(12x-17) Answer…

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Q: Find the unit vector in the direction of =(-4,-2) Give EXACT answer. You do NOT have to simplify…

A: Topic = Vector

Q: Find the general solution of the given higher-order differential equation. ²y - 32y = 0 dx² X(X) 11…

A: Find the general solution of the given higher-order differential equation.

Q: If f(t) = (t² + 4t + 2) (7t² + 5), find ƒ' (t). Find f'(1).

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Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (₂ The equation of this…

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Q: Use the equation Σ x" for [x] < n=0 (Express numbers in exact form. Use symbol 6 1 - x4 Σ 1 1-x Σ…

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Q: The count in a bacteria culture was 300 after 15 minutes and 1500 after 40 minu count grows…

A: We will solve.

Q: A person starts walking from home and walks: 6 miles East 2 miles Southeast 5 miles South 4 miles…

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Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: Find the Jacobian a(x, y, z) a(u, v, w) for the indicated change of variables. If x = f(u, v, w), y…

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

A: The DE is given as , y''+2y'+y=e-tlnt find the solution by variation of parameters.

Q: Which of the following is a power series representation of f(x) f(x) = Σ(-1)". n=0 8 x2n f(x) = Σ 16…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Prove the identity. cos(3x) − cos^3 x = − cos x sin^2 x − sin x sin(2x)

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Q: dw = t³ and y = 7. Find dt Let w = cos(8x - 10y), where x =

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Q: Keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

A: keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

Q: Sketch the solid whose volume is given by the iterated integral and rewrite the integral using the…

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Q: Find the smallest number n of terms needed to obtain an approximation of the series 10 -6 n = k=1…

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Q: errain difficulties, two sides of a fence can be built for $4 per ft, er two sides cost $8 per ft.…

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Q: The following table shows worldwide sales of a certain type of cell phone and their average selling…

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Q: Consider the following second-order differential equation. 5y" + y = 0 Find all the roots of the…

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