at aw (b) Find at using partial differentiation of the function f(r, s, t, w) from the given equation.

Q: Solve the differential equation. dy 3 2x – 0, y = 3 when æ = 1 dæ Using x^2 for r?. O y=x^2+x^{-3}+1…

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Q: then the distance from a point P to the line L is equal to the length he component of the vector AP…

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Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) x4 – 81 (a) Determine the domain of f and g. (b) Compute gof and…

A: Find domain.  According to guidelines we solve only first question.

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A: Distance traveled is given by area under the velocity - time graph. So, basically we have to find…

Q: Solve the Bernoulli equation. -6 5xy' +y = y°, x>0

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Q: 17. Obtain the family of solutions and particular solution of the homogeneous equation, y?dx + (x2 +…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as…

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

A: Given problem:- Use the First Derivative Test to find the location of all local extrema for the…

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Q: а. у %3D х-5 — 4х* + 5х-3 -10х — 20 4x4 + 5x-3

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Q: Find the sum of the series. 2n n=0 6.

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Q: Question A vertical cylinder is leaking water at a rate of 5 m²/sec. If the cylinder has a height of…

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Q: Find the location at t = 3 of a particle whose path satisfies dr 14t 4 dt (t + 1)² r(0) = (8,5) (Use…

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Q: M=N

A: answer is in next step

Q: Find the area between  F(x) = x^2-5 and the x-axis from x=0 and x=9

A: Given query is to find the area under the curve.

Q: Write the first five terms of the geometric sequence a, based on the given information about the…

A: Given query is to find the first 5 terms of the sequence.

Q: Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".…

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Q: In the following exercises, suppose →1 as n→>∞. Find the radius of a, that convergence for each…

A: We have to find the radius of convergence.

Q: Write the first five terms of a geometric sequence a} based on the given information about the…

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Q: If W = xyz with x = 2t*, y = 3t-, and z = 4t¬³, what is dw dt 24 O In(t)

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Q: Use the Comparison Test to determine if the series converges or diverges. Sn + n=1 diverges…

A: Solution: ∑n=1∞55n+6n Apply constant multiplication rule : ∑c·an =c·∑ an =5·∑n=1∞15n+6n

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

A: Given query is to fins equation of the line.

Q: 2. Evaluate the following limits. 4x2+x-7 f. lim 2x2+3x+10 X→-00

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Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

A: Given query is to find the parametric and symmetric equation.

Q: Show that the lines L1 : x =1 – t, y = 2t, z = 5+t and L2 : x 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: Let's find.

Q: „T7/8 6) (1 + etan 2x) sec² 2x dx 16) B) - D A) e C) 2e

A: Given query is to find the value of the integral.

Q: I. Solve the following problems. af 1. Find af and of the function f(x, y) = arccot (-) + In ( ду…

A:

Q: Зх-1 2. f (x) 3D 2х+4

A: Given : y=3x-12x+4   To find : Derivative of the given function

Q: Find the sum of the series. 2n n-D0 03 01 06

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Q: Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal…

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Q: af when r = 2, t =- 1 of the function ar 4. Use the Chain Rule to find- f(x, y, z) = e3xy² cos 2xyz…

A: This is a problem related to chain rule for differentiation. Based on the formula we will find out…

Q: Show that the lines L1 : x = 2 – t, y = 2t, z = 5+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: x10 14) cos Vt dt )음 COS

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Q: Find the consumers' surplus at a price level of p = $130 for the price-demand equation below. p=…

A: p=400-0.02xat p =130130=400-0.02x0.02x=270x=2700.02=13500x=13500TE=px =130(13500)TE=1755000

Q: Find the area of a triangle PQR, where P = (2, – 3, – 4), Q = ( – 6, – 2, – 6), and R = (5, 6, – 6)

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Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 7/3 and whose components have…

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Q: 28. f,(2,4) if f(x, y) = x* In y

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Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

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

Q: Maximize f(x, y) = 3xy Зху subject to x + y = 1

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Q: What is the maximum vertical distance between the line y = x + 6 and the parabola y = x2 for -2 sxs…

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Q: The graph at right shows a function g(x) a) Where is the function decreasing? b) Where are the local…

A: Given query is to find intererval where function is decreasing and local minimum location.

Q: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: Let a=ci+ja=ci+j and b=9i+45jb=9i+45j. Find c so that a and b are orthogonal.

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Q: Remember that rectangular form is z = a + bi and that polar form is z = r(cos 0 + i sin 0) Take…

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Q: (2x – 3y +1)dx – (3x + 2y – 4)dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: Let a = ci + jand b = 9i + 54j. Find c so that a and b are orthogonal. c = i

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Q: Culculate the iterated întegreat T/2

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Q: 2, if x 1

A: The given function,  f(x)=1x,if x≤1x2-1,if x>1