Find the intersection of the line and plane: 4x + 4y – 3z = 5, r(t) = (1, 1, 1) + t(1, –2, 3) %3D %3D P =(

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A: See the details solution in below

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A: I am attaching image so that you understand each and every step.

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A: Given:To identify true or false in the following questions from 21-25.  

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A: The vertical asymptote of the given curve is solved below in detail.

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Q: Find the general solution. x²y²(xdy+ydx)= 8y³dy a. O a. x°y³+6y4=c а. O b. *+c x²y² = 6y Ob. Ос. x³y...

A: x2y2ydx+xdy=8y3dy

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A: see below the answer and explanation

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A: Given query is to find the indicated partial derivatives.

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A: First we simplfy the given function then derivative 5 times with respect to x.

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A: Given DE isx2+2xy-4y2dx-x2-8xy-4y2dy=0Solve the homogeneous differential equation

Q: メL:6 g6)= の-=* メ L メフ メニム 1)

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A: True, Differentiability implies continuity.

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A: First we made a homogenous equation for this we put x=X+h and y=Y+k Then we get homogenous equation ...

Q: Suppose that u =〈12/13, -5/13〉and v =〈-4/5, 3/5〉are two unit vectors and that for some function g(x,...

A: Directional derivative and gradient

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A: Here is solution

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A: see below the answer Intermediate value theorem:-  If a function f is continuous on the interval [a,...

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Q: ') Given y= -2x² –16x, find the absolute min imum and the absolute max i in the interval[-1, 4]

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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Q: 3) f(x) — -3x* -18х +10, (a) Find f '(x) (Useformula) (b)Find the slope of the tangent line at x =

A: We can find both the answer as below.

Q: Exact Diffe rential Equation: x(3xy - 4y' +6) kx + (x³ – 6x²y² -1\dy=0

A: Check firstly it is Exact or Not.