These are some other examples of when you could use these same concepts in other real life settings. Show your work for each example. A. It costs Johnny $25.00 to fill up his car with gasoline. If Johnny can drive 250 miles on one tank of gasoline, what is his cost per mile? B. Suzy bought a pair of designer jeans for $100.00. She wore the jeans 3 times before her little sister spilled paint on them. What was her cost per wearing of the jeans?

Q: 4 Write an integral that is equivalent to 1 af dx. -

A: Given,          ∫-6-4xf14x2-2dx

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A: th given function:f(x,y)=sinxywe have to find the second order partial derivatives of the given func...

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A: Given: log3log7 7

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A:

Q: Evaluate by interpreting in terms of areas: (3.8 – 2z)dr =

A:  The given Integral  ∫-13(3.8-2x)dx Is evaluated in terms of areas as shown below     

Q: Solve system by the substitution method.

A:   The system of equations are given by  x =4y -2 and x = 6y +8  Now, we have to solve this above equ...

Q: Calculating derivatives Find the derivative of the followingfunctions.

A: to find the derivative we will use the quotient rule which says  here v = 1+cos x and u = 1-cos x  ...

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A:

Q: Find the limits limx→e+(ln x)1/(x-e)

A: Limit:      x→e+limln x(x-e)=h→0limln (e+h)(e+h-e)

Q: Using substitution: Describe why ∫ x(5 - x2)3 dx ≠ ∫ u3 du where u = 5 - x2.

A: The given integral is: ∫x5-x23dx And, given that, u=5- x2    ......(1). Now, differentiate the equat...

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A: We have to find the value of the expression P410 using the formula Prn. We know the formula, we get ...

Q: 11 f(x)dæ f(x)dx f(2)dx a /-

A: Given, ∫111f(x)dx-∫12f(x)dx=∫abf(x)dx we have to find the values of 'a' and  'b'.

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A: Binomial expansion of x-2y10 x-2y10=10C0x10-2y0+10C1x9-2y1+10C2x8-2y2+.......                

Q: 31. Evaluate , f(x) dx given that f(x) dx = 3, 2 f(x) dx = -2, and f(x) dx = 5. %3D

A: Given ∫−11f(x)dx=3∫23f(x)dx=−2∫13f(x)dx=5 To find: ∫−12f(x)dx  

Q: 3. It is known that e dx e - e. Use this result to evaluate the following integral: 3 e+1.4dx %3D

A: Given, ∫13exdx = e3 -e   Using the above result, we have to find ∫13ex+1.4dx 

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A: "Since you have asked multiple questions we will solve the first question for you. If you want any s...

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A: Absolute maxima and minima: f(x)=x13(x+4), [-27,27]f'(x)=x13.ddx(x+4)+(x+4).ddx(x13)f'(x)=x13+(x+4)....

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A: To Determine: find f Given: we have f''''(t)=cost Explanation: we have                        f''''(...

Q: f and g are defined by the given tables (see attached). Use the tables to evaluate the composite fun...

A: Consider the given table 

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A: Given that : The number of actors in the group = 20  

Q: Find the quadratic function f(x) = ax2 + bx + c for which f(-2) = -4, f(1) = 2, and f(2) = 0.

A: fx=ax2+bx+c,  f-2=-4,  f1=2  and f2=0. Now put f-2=-4 in fx=ax2+bx+c, we get f-2=a-22+b-2+c⇒-4=4a-2b...

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A: Given information: ∫03fxdx=2∫36fxdx=-5∫36gxdx=1 Use the given information, we have to find ∫63fx+2gx

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A:

Q: Determinants are used to find the area of a triangle whose vertices are given by three points in a r...

A:

Q: Find dy/dx and d2y/dx2 at the given point without eliminating the parameter. x=1/2t2+9  y=1/3t3+4t, ...

A: We have, x=12t2+9, y=13t3+4t, and t=2 Now, differentiating x=12t2+9 with respect to t, we get the re...

Q: Determine the location of a point (x, y, z) that satisfies the condition(s). xy > 0, z = −3

A: Here Our Aim is to determine the location of a point (x,y,z) that satisfiesthe condition(s):→ xy>...

Q: Simplify (k!)/((k + 2))!, for any integer k ≥ 0.

A: To simplify k!k+2! for any integer k≥0

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A: Given information: fx=sinh4x We have to given the sinh function, need to derivative  To derivate, it...

Q: a. Write an expression for the area of the shaded region.b. Write the expression in factored form.

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Q: cos(z)ln (1 + æ²) + x3.7 dx. 3 Evaluate 3 1 + e1.87x – 66.1 answer = Question Help: D Video

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.