6. The following gas stations were cited for irregular dispensation by the Department of Energy. Which one cheated you the most? Actual gasoline dispensed Gasoline reading at Station pump 10.00 9.90 19.90 20.00 Y 29.80 30.00 29.95 30.00 A. W В. Х С. Y D. Z

Q: In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the %3D…

A: We have to find maximum directional derivative.

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A: This question is related to definite integration, we will solve it using given information.

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A:

Q: -17x - 60y satisfying the initial conditions x(0) = -33 and %! Find the solution to the linear…

A: The solution is given in the next steps.

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A:

Q: Problem #6: Find the equation of the line tangent to f (x)= cos x-sin? 1 at x =-. 5х 6.

A: We have to find out the tangent line

Q: kindly answer immediately, thankyou for helping out Determine the range f(x)= /3x+2/

A: Given the function fx=3x+2

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A:

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A: Given f(x) = -½(½)x + 4 We have to find f(-8)

Q: Which test is most appropriate for In(n+4) series: 2 n =1 n*+2? b) series is convergent or…

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Q: Evaluate: J Vx – 4x² dx 2

A:

Q: 00 Determine el valor de a e R tal que: /" -dx e2x + 1 a ||

A: ∫1u2+a2du = 1atan-1ua+C

Q: se part one of the fundamental theorem of calculus to find the derivative of the function. g(x) (x)…

A: We have to find derivative

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A:

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Q: Q1) Solve the following partial differential

A: Given

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Q: ) find w=utiv if the function in telm of 2 is (Z-323) (2Z+2) frz) =

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Q: Find the work done by F over the curve in the direction of increasing t. F = xe 7x2 i + e 7y j + e…

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Q: In the year 1985, a house was valued at $104,000. By the year 2005, the value had appreciated to…

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Q: Q/ Find the Surface area generated by revolving y = 1 – x² around the y- ? 0 <x <1 axis, where

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: Evaluate the definite integral dr to two decimal places.

A:

Q: Q/ Find the Surface area generated by revolving y = 1– x² around the y- ?0 < x <1 axis, where

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Q: Find the derivative of [(xt1)*] /x.

A:

Q: For the list of degrees below: degree Ahmed 66 name Ali 90 Mona 45 Salma 76 Karim 78 Use…

A: As per our guidelines we are supposed to answer only 3 sub-parts. Kindly repost others. Thank you…

Q: Jse u = 6x and v' = sin(x).

A:

Q: Evaluate fE in two ways: using partial fractions and using a trigonometric substitution." Reconcile…

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Q: At a conference, after everyone had shaken hands with everyone else, it was found that 45 handshakes…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: L-1 (2s-9 Is²+2.

A:

Q: (1+ɛX) dx FA0 V = (1- X)2 kC, AO 0.

A: Given that      V =FA0κCA02∫0X(1+εX)2(1-X)2dX                        let us assume 1-X = t…

Q: 1 - x dx. e + x Evaluate:

A: We have to find the given integral.

Q: 16

A: We will solve the problem.

Q: 4) The cost of making x items is C(x)=15+2x. The cost p per item and the number made x are related…

A:

Q: L-1{_ (s²+4s+20. L-1

A: inverse laplace transform of the given 8s2+4s+20

Q: C, the consumer price index, in a specific very small area, is dependent on the current value of…

A:

Q: The velocity of an object is given by v= (t+1)% The position, s, at any time, t, if s = 1 V = when t…

A: Given query is to find the position function s.

Q: Find the volume of the solid that results when the region shown below is rotated about the y-axis. y…

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Q: 1.2 Exercises a. Show that ¢ (x) = x2 is an explicit solution to 1. dy = 2y dx

A: This is a problem of differential equation. Based on the general formula and concept we will find…

Q: Solve for x by converting the logarithmic equation to exponential form. log (x) = 4 %3D

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Q: 1. The direction vector of a line is an indicator of its slope. 2. The dot product of two vectors…

A: Given  A direction vector of a line is an indicator of it's slope

Q: Siven the curve X = 2 y – y´ and the line X = 0 ind the area of the region bounded by the curve and…

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Q: 8 dx I (x – 2)(x +6)

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Q: Which of the following is equal to a +c 1' +c O o O

A: The given integral is ∫x6 dx To solve the integral we use power rule of integration , ∫xn dx =…

Q: бу + 4z Зх + Зу = -24 %3D -6 %D 2x 3z = 4 (х, у, 2) -

A:

Q: A sequence is shown. -12, -7, -2, 3, 8, 13, … Which function produces the same sequence? f(n) =…

A: nth term of A.P. f(n)=a+(n-1)d

Q: seParable 5い / / とll y=2メJタ! 4 xx

A:

Q: Give an example, in words, of a real-world phenomenon that can be represented by the graph

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Q: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36

A: We find the slope of tangent to the given conic with the help of calculus .

Q: 25. y x', y = 2- x|

A: