derivative of f(x, y, z) = x + z at P(6,5,-5) in the direction from P to Q(5,7, -4). NOTE: Enter the exact answer. Duf =

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Q: Q2) Solve the D.E xdy + (2y-x* + 3x)dx D %3D

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Q: Which integral that cannot be solved by the substitution method? Integral mana yang tidak dapat…

A: Which of the integral is not solved by substitution.

Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 65e-0.02t…

A: Given: r(t)=65e-0.02t Now, 1 hour=60 minute The amount of oil leaked in first t minutes is ∫0tr(t)…

Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: If uxv=uxw, u÷0 then O None of the choices O v=w+ ku O u=v+ kw Ow=u+ kv

A: u x v = u x w v = w but u is any other value so  v = w + ku

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A: The summation of 4/(3n-n1/3) , n from 1 to infinity.

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Q: Find y' if 3x2- (ry?) = 2y.

A: y' = ? 3x2 -(xy2)1/2 = 2y3 3x2 - x1/2y = 2y3 differentiate with respect to x 6x - y/2x - xdy/dx =…

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A: Given problem:- ∫ (x2 +2x)cos(2x) dx

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A: We need to find local ma and min.

Q: f'x) = g'(x) on [4, 7] %3D S(4) = 7 %3D g(4) = -9 f(7) = 6

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Q: | #(9 – In² x)5/2 dx I. Evaluate the following integrals. 1 1. -d.x x(9 – In? x)5/2

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Q: Find and d²y then simplify whenever possible. dx dx² 1) у %3D 3t5 — 2t x = 4t3 2) y = t-3 – 7 x = t²…

A: As per the request of student 4th and 5th answer has been provided. This question can be solved…

Q: f(x) = 2"[In(cot(x³))]5

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Q: Find the area A. Round the answer to three decimal places. 15) A 4 7 cm 2.

A: Explained below

Q: True statement of f(x) = is x² – 1 1. O f(x) increase on the interval (-infinite, 1) 2. O f(x)…

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Q: Evaluate: (cosh22r+ sinh²2r) dr

A: Our Aim is to evaluate the integral given below:-∫cosh22r+sinh22r-(i)

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Q: Based on figure below, we get some information: Which of the following statements are true? Gambar…

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Q: e dx (1– e*)2

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Q: Q4) Find plane area inside the polar function r = 2 and outside the polar function r = sin e) +1 in…

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Q: Exv3x² + 4 dx %3D 1 (3x² + 4)v3x² + 4 +c 3

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Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

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Q: 4. Find an equation of the tangent plane to the surface x = u? + 1, y = v + 1, z = u + v at the…

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: We know that Integration power rule is Integration of xn is xn+1/n+1+C  Here C is integration…

Q: x2-9 If f(x) = then f (x) discontinuous at x= 3 because..... x-3 x2-9 Jika f(x) = fungsi f (x)…

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Q: х2 — бх + 9 dx V6x – x2 бх —

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2. Given: an = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent.…

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Q: bx2 ) e x2c +d X. dx

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Q: e20 -do 1+ 3e20

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. tan(x) Vot…

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Q: Given: y (3) - 9: a. Determine the y-intercept algebraically 1. b. State the asymptote c. State the…

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Q: : s ech[In cosx]tanx dx Evaluate: A None - 2 tan-1(cosx) + C 2 tan -1(e cosx) + C CoSx (D - 2 tan…

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Q: Find Duf at P. f (x, y) = 3(4 +xy)2; P(4,3); u = 1 i+ j NOTE: Enter the exact answer. Duf

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Q: Necessary and sufficient condition for a function y = f(x) to have a maximum value is...…

A: Let's find.

Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p 100…

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Q: 3 5). | e2x dx -1

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Q: Find the general indefinite integral. (Use C for the constant of integration.) sec(t)(7 sec(t) + 9…

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Q: Keith is flying two kites. He has 100 feet of string out to one kite and 110 feet out to the other…

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Q: Solve [15x/1- xdx . S 3xV3x2 + 4 dx = --

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Q: 6z* cos (r*) dr-

A: