Explain what it means if a' . b = 0

Q: Find dy tan

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Q: Use differentials to approximate the value of 52.1. 100+ 5ln5 50+ 6ln5 50+ 5ln5 2 100+ 6ln5 4

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Q: os (sin e)de

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Q: Please interpret the physical case showing how to calculate

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Q: fy at (3,1)

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Q: Stoke's theorem

A: We have to verify the Stoke's theorem for the given vector field. It is given that

Q: Ja. Test 2 for Cou V.

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: a) 2 7e"- dy

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Use differential to estimate the value of 124 and give your answer correct to 3 decimal places.

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Q: Evaluate. (Be sure to check by differentiating!) 6 7 STOCK *XX=-=-= dx, x# 7 + 6x 6 6

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Q: I It ex 1-ex dx

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Q: the e to ential.

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Q: sinh ot + cos ot

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Q: S sec4e tan30 de

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Q: 3. Use differentials to estimate the value of 10 - (0.98) correct to two decimal places.

A: Please see the below picture for detailed solution.

Q: Find/ S dy

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Q: I need parts with f-h

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Q: Evaluate. (Be sure to check by differentiating!) | 16. dx

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Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: Electron is positive charge

A: Electron is negatively charged.

Q: Find the time (ronnd to two decimas places) when bacteria count reach 6752.

A: Given:

Q: Use reiation Ship: the fcx) (x) To Calculate Js?

A: Here, we need to calculate √8. In other words, we need to find the root of the function f(x) = x2 -…

Q: nitial ter t und?

A: The distance s from the ground is given by;s(t)=96+80t-16t2When, ball touches the…

Q: Evaluate without using a calculator.

A: Given  sec-123 The trigonometric identity used here is  secx=1cosx

Q: Eind to approximation to Jas corect decimal an three places

A: The given expression is 253. Let y=x13, where x=27,∆x=-2 as 25=27-2. That is, y=2713=3 Obtain ∆y:…

Q: S sec4 2xtan62xdx

A: follow next step

Q: 2. Sin odo Fla

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Q: tan a dy

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Q: = 1 at the poin

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Q: Integrate da + C

A: Integrate by using formula.

Q: se: Two different con

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Q: 5. Use differentials to estimate 3.99 + (3.99)3 correct to two decimal places.

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Q: nS ISIna X -

A: Consider the quadratic equation as x2 – 12x +24 = 0.The formula for the general quadratic equation…

Q: Sec(1+ 까an (품 -).

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Q: 3. 43. dx 2 - x (1,0)

A: 43) We have to solve the following differential equation at the point (1,0). dydx = 32-x

Q: Sesch (sinhtx) sech4x

A: Given integral, ∫cschsinh4xsech4xdx To evaluate the value of the integral.

Q: Use differentials to approximate the value of s2.1. O 100+6ln5 4 O 50+5ln5 2. O 100+5ln5 4. O…

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Q: Evaluate. (Be sure to check by differentiating!) dx 5-6x

A: We have the formulas,                  ∫1xdx=lnx+c   c= constant of integration…

Q: Show that - dx /x²+2x+2 L- In(√5-2).

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Q: I am confused on how to solve this problem.   Thanks much.

A: The given trigonometric identity is,

Q: 3 dy

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Q: Find the intergral of (5-4x)/(√(12x-4x^2-8) ) dx

A: It is given that,               (5-4x)/12x-4x2-8dx     we have to integrate it.

Q: dx (メ+)

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Q: 2°(5 - у)' dy

A: The given integral is: I=∫2y(5-y)3 dy

Q: Evaluate. (Be sure to check by differentiatingl) 1 dx, x# - 3 9+ 3x

A: To evaluate: I=∫19+3xdx Use the rule: ∫1xdx=ln |x|+C

Q: What i - dx

A: We will solve it by chain rule  here we will use the formula ddxex = ex

Q: en by

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Q: how that 1 dn v2

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Q: When is lnx negative?

A: Let the function be                                  y=f(x)=ln(x) The domain of the function is all…