Find the equation of the tangent line at the given point on the curve. 327x 3x² + 3y² , 109y 2 10 =xe -y e ; (10,3) y =

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A: Differentiation

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Q: 25. Compute the Riemann sums for the function f (x)=x² on the interval [0,2] associated with the…

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Q: 1. Find the most general antiderivative of the function 12 f(x) = ( 2r + sin(4- r) + 7e

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Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x? such that f(0)…

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A: We need to find second derivative.

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Q: Use the chain rule to find the derivative of 3(– 82° – 2=")" - You do not need to expand out your…

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Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

A: Given : f(x,y,z)=9x2y+5z2   To Find : Conservative Vector field by finding it's gradient

Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

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Q: 7. SavT – 1 dr 8. | (x) Væ² – 1 dx 1 dx 5x +1 9. dx 10. 3x + 9 4x – 6 dx (x – 1) (x – 2) 11.

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Q: The demand for grass seed (in thousands of pounds) at price p dollars is given by the following…

A: The demand for grass seed in thousands of pounds at price p dollars is given by the following…

Q: dy = f(x, y) = x' + y', y(1) = 5 %3D dx 39- find y(3) value by euler method, take step size; h= 1.…

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Q: Graph the function. Use the graph to find the indicated limit, if it exists. x20 lim f(x), fx) = -…

A: solution:-f(x)=x3 ,         x≥0-6x  ,    x<0left hand limitlimx→0-f(x)=limx→0--6x=0right hand…

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A: Given, f(x) = 7x ^ 3 - 0.31x ^ 2 + 8x - cos(x).

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Q: c) Find the general solution to the differential equation = 3x(y + 8).

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t?j…

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Q: y = 4 (2,4) A y = 2x x = 2 B y =x (0,0) Region A is bounded by the lines y= 2x, y= 4 and the y-axis.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

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Q: Differentiate x + y = e2x+2y A. 1 – 2e2x+2y 1+ 2e2x+2y y' В. -1 + 2e²x+2y 1 – 2e2x+2y y' | С. ||

A: Given query is to find the derivative of the expression.

Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t2 (in…

A: Let's find.

Q: Use the Comparison Test to determine whether the series > is convergent In -1 n=2 divergent. Show…

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Q: Solve the following differential equations: d³y dy d?y 3- + 3 dx2 В. dx3 dxy=4e*

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Q: 2) z= (1+t²)(3 - 2y); z' Ans: z' = -2(3t? + 3t + 1)

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Q: Q3: Find gradient of the following function at given point 1) f(x, y) = y –x, (2,1) 2) g(x, y) = y –…

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Q: Assume x and y are functions of t. Evaluate dx = 9, x = 3, y = 0. for 4xe = 12 - In 729 + 6ln x,…

A: Given query is to find indicated derivative.