Consider the function f(x) = 3- 7z, - 4 < ¢ < 1. The absolute maximumn value is and this occurs at The absolute minimum value is and this Occurs at I =

Q: Let f(x) = x2 - (x + 2) and calculate f(x) dx by using integration by substitution. What was your su...

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k + ...

A: To answer the given questions using the given details.

Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

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Q: by L'Hopital's rule 3 sin 0 lim

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Q: Integrate the function. dx x2+ 8x + 32 A (2x + 8}In]x2+ 8x + 32|+ C B X+4 tan + C 4 sin + C (*+4) X+...

A: First simplify then use the formula of integration and get the final result 

Q: Directions: Evaluate the following limits uring table of values. lim to

A: Let L is the value of given Limit.

Q: Find the area between y = 1.1z + 5 and y = 2? – 4. The graphs intersect at z = - 2.5 and z = 3.6. 10...

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Q: 2. f f(x)= the cost (in dollars) of purchasing x candy bars, write a complete English sentence to ex...

A: Here, the given function f(x) is the cost (in dollars) of purchasing x candy bars.

Q: y2 – 2y + 3 2.5 Vy3 - 3y2 + 9y – 21 dy

A: 2.)∫y2-2y+3y3-3y2+9y-215 dy=13∫3(y2-2y+3)y3-3y2+9y-2115dy=13∫3y2-6y+9y3-3y2+9y-2115dy=13∫y3-3y2+9y-2...

Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form ...

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Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). xS + 32y = In y %3D y'l(-2,1...

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Q: 2. Solve the following system of equations using the Gauss and Gauss-Jordan elimination methods. 2x1...

A: Here we have to solve the given system of linear equation by using the Gauss-Jordan elimination meth...

Q: #1: Use integration by parts to evaluate the following integral. Inx

A: Explanation of the answer is as follows

Q: Determine £ {F}. -26s-20 F(s) = %3D (s+ 1)2(s + 6)

A: Inverse laplace transformation of -s2-26s-20s+12s+6

Q: The average cost of producing x units of a product is C = 500e*/500 dollars per unit. What is the ma...

A: To find out the marginal cost. 

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =...

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Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: The given problem is solved below in detail.

Q: Show detailed solution to the following using ti integration. x'dx 1. Integration by Parts J Vx4-5

A: Let's find. 

Q: By definition, if two lines L1 and L2 do not intersect, then L1 and L2 are parallel. If two planes i...

A: Given

Q: lim ("V52"-1

A: Given: limn→∞52n-12n   We know that the radical rule; amn=amn

Q: 2. S(2 – 3e*) dx

A: Use simple integration formula.

Q: Tank A contains 402 litres of brine holding 123 N of dissolved salt, and tank B contains 402 litres ...

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Q: . lim 3x2 - 9 X-0

A: Let L is the value of given Limit.

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: Let a = ci + jand b = 4i + 3j. Find c so that the angle between a and b is- Round your answers to fo...

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

Q: for a given function f (t)= f(-t).  what type of symmetry does f(t) have

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Q: Solve for the Derivatives of the following functions. Final answers should be in simplified form y= ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 10 -10 -5 10 -5 10 5 5

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Q: 6. y = (x² – 1)tnx

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Q: A tank initially contains 180 L of pure water. A mixture containing a concentration of y g/L of salt...

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Q: find the fur pose of the function- and give the reason. メ * x²4+ 3× メ<t

A: Follow the procedure given below.

Q: ) Rationalize the denominator of

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Q: dx Using Trigonometric substitution, prove that J A-rž arc sin x + C

A: The given integration is ∫dx1-x2     . We have to solve the integration using Trigonometric substitu...

Q: (a) Interpret f(19): = 415 in terms of carbon dioxide.' Choose all statements that are correct. O Th...

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Q: A car is moving at a constant acceleration of 3.6 m/s away from a tree. Atr= 0, the car is 11 m away...

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Q: What is the laplace inverse of 5 - 3e-30 – 2e-70 že-7s

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Q: Estimate the slape of the line rom Its graph.

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Q: 0. Reciprocal Substitution (x´ - x')"3

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Q: Translate: The product of three and the sum of an unknown number x and square of another unknown num...

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Q: Let a = ci +jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four ...

A: Given :a=ci+jb=3i+4jangle =π6

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 6j + 9kand the vector component of v orth...

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Q: Directions: Evaluate the following integrals. Show your complete solutions. Identify the u and the d...

A: Given: So,               ∫lnx34xdx=14·∫lnx3xdxLet u=ln x=14·∫ u3du=14·u44Substitute back u=lnx=14·l...

Q: For each value of w, determine whether it is a solution to ws7. Is it a solution? Yes No 6. 7 12 2

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Q: 2. y(x? + y? – 1)dx + x(x² + y² + 1)dy = 0

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Q: 3. у %3D — 4(х + 2)2

A: To find out the maxima and minima.

Q: y y = f(x) a Let a = 5 and b= 6. If the average value of f(x) on the interval [5, 6] is 16, what is ...

A: Let a=5 and b=6the average value of fx on the interval 5,6 is 16

Q: Consider the function f(x) : 822 + 7 Recall that the definition of the derivative given in the book ...

A: We have to solve for derivative

Q: x dx e4x

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Q: iS (2) = (x + ay² – 2xy) + i(bx² – y + 2xy) is anal ytic, then the values ofa and b is

A: