Find the solution of the differential equation that satisfies the given initial condition. 2t + sec²(t) du dt u(0) = -6 2u U= V 2. +tan (t) + 36 X

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A: Solve the following

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A: The line passes through -5,1 and parallel to the line defined by 5x+y=2

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A: To estimate the area under the graph of fx=x+2 over the interval -2, 0 by using eight approximating…

Q: 1/ Find maximum,minimum,and saddle point of the surface Z = x³y³ - 12x + 3y + 12.

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Q: In the previous Problem Set question, we started looking at the position function s (t), the…

A: This question can be solved using the concept of first and second order derivatives.

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A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

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Q: EIN E14 π 2 cos4 n sin6 n dn

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A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

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Q: Repeated Linear Factors: Examples x³ -x +3 dx (2x+ + 40x³ +300x²+1000x+1250)

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Q: A parabola is modeled with the equation x² - 12x + 4y + 24 = 0. Which is the domain and range of the…

A: This question is based on Parabolic function domain and range.

Q: Q2: Find y(2) if D.E as give dy 2. +3y=sin 2x, y(0) = 6 dx Given

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Q: (B) If f(x, y) = x² ye(x+y²) Find the four seconed partial derivative.

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Q: 4 3 2 1 -4 -3 3 4 --x-- -2 -3 -5+ In the above graph of y = f( x ), find the slope of the secant…

A: In the given graph of y=fx, to find the slope of the secant line through the points -3, f-3 and 1,…

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Q: Q4 Calculate the integral Se²y-2x (y + 2x)³ da Where R is the region formed by joining the vertices…

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Q: Solve the following D.E sin x- + 2y = tan³ dy dx 2

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Q: what is after the negative 4 is that Cos I can't tell what that is supposed to be

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Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

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Q: j x+x2+x+2dx **+3x²+2 lax of S x²+1 of (x²+1)(x²+2) 01 +1 -1 of x²+2 (x-1)dx (x²+1)(x²+2)

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Q: Q2: Find y(2) if D.E as give dy 2+3y=sin 2x, y(0) = 6 dx Given

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Q: Q1/ Find maximum,minimum,and saddle point of the surface Z = x³y³ 12x + 3y + 12.

A: Given :- z=x3 -y3 -12x+3y+12 Find:- Maximum, minimum and saddle point of the given surface

Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -5 + 5/ In(z) = n = 0, ±1,…

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Q: 1. Evaluate the improper integral 150 xe dx or state that it diverges.

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Q: dQ Use the Chain Rule to find where Q=√√3x² + 3y² + 4z², x= sint, y = cost, and z = cost. 7 dt ƏQ -…

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Q: Find the mass of a thin funnel in the shape of a cone z = √√x² + y², 1 ≤ z ≤ 2 if its density…

A: Given: z=x2+y2ρ(x,y,z)=12-z

Q: Q1) Find the average value of the area Ander the curve (y=1-x²). Q2) Solve the D.E.: cos x + sec¹x -…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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Q: 6. Suppose that for x2 1000, the dollar cost of producing a video cameras is C(x) = 500x - 0.003²…

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Q: It is estimated that t years from now the population of a city will be P(t) = 20(60 + 3)² - 1100t.…

A: The population of the city after t years from now is given by, P(t) = 20(60+3t)2 - 1100t

Q: Q6A)If y = sin-¹ prove Zyy + 2 = 0

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Q: Q4 Evaluate: f(1- cos²4x) sin4x dx.

A: The given integral is: I=∫1-cos24xsin4xdx   As we know the Power rule. ∫xndx=xn+1n+1+C

Q: Consider the position function below. r(t) = (1-16,5-4t²) for t≥ 0 a. Find the velocity and the…

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