Use the graph to find each of the indicated limits: 2 3 1 (2) S(3) lim f(x) lim / (x) lim f(x) 00 lim ((x) lim f(x)

Q: Evaluate Sf,(z+ 3y – x²) dS where S is the portion of z = 2 – 3y + x² that lies over the triangle in...

A: Ans :

Q: Landon runs at a constant speed and travels 11 meters in 4 seconds. a. If Landon runs for 8 seconds ...

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Q: Problem 1 a) Find [(sinx + 1) ] and (sin² x +2 sinx). Compare your answers. dx dx b) What is [(2 sin...

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Q: Evaluate sin r e de. cos

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Q: If csc(x) = 6, for 90° < x < 180°, then sin(;) – 2 CoS tan

A: Explanation of the answer is as follows

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is ...

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Q: Solve y"+y'- 2y 0, y(0)=4.y'(0)=1

A: We will solve this using method of linear differential equations.

Q: A man walks along a straight path of 4m/s. A searchlight is located on the ground 25m from the path ...

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Q: Solve y"+y'- 2y 0, y(0)=4.y'(0)=1

A: find roots for real roots, the general solution is ....................(1)

Q: This is attempt 1 of 3. Licene Suppose a car driven by Emma G. passes a crosswalk while driving at a...

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Q: Find the length of the curve. r(t) = cos(4t) i + sin(4t)j + 4 In(cos(t)) k, 0 <t< r/4 %3D

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Q: find the indefinite integral of

A: Given integral,

Q: Evaluate | G dx x +1)

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Q: Solve y"+y'-2y=0,y(0)=4,y'(0)=1

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Q: Find a vector orthogonal to all vectors in the set ((2,1,2), (2, – 2,3)) . Write your answer as an o...

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Q: Solve the System of equations If the System IS dependent, express the Solvtion in terms of X 2x-3y=-...

A: We have to solve the given pair of equations : 2x - 3y = -6               ---------------(Equation 1...

Q: Kindly Solve the following. Show neat, organized and complete solution. Simplify and enclose your fi...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel ...

A: Here we have,  Water is running out of a conical funnel at the rate of 1000 cu mm/sec r=40 mm and h=...

Q: Integrate f(x, y, z) = x over the region W in the first octant above z = 3 y and below z = 20 – 5x² ...

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is ...

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Q: Let S- (4, 9, 14, 19, 24, 29), E= (9, 19, 29), F- (4, 14, 24), and G- (24, 29). (Enter ø for the emp...

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Q: For each question below find the length of each leg and use those lengths to find the length of the ...

A: Distance between two points (x1,y1) and (x2,y2) is       = { (x2 - x1)2 + ( y2 - y1)2 }1/2

Q: A group of people were surveyed to see which premium cable channels they subscribe to, with the foll...

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Q: An object is dropped from a 64-foot tower and reaches the ground in 2 seconds. What would the accele...

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Q: Solve y"+y'-2y=0,y(0)=4,y'(0)=1

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Q: This is attempt 1 of 3. License Suppose a represents the value of some varying quantity. a. As the v...

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Q: We are interested in the first few Taylor Polynomials for the function f(x) 8e" + 7e * centered at a...

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Q: n+1 If (-1)"()" a, then a = 20 n=0

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of integ...

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Q: A piano manufacturer has a daily fixed cost of $1,300 and a marginal cost of $1,600 per piano. Find ...

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Q: SG X, Evaluate dx Lх + 1,

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Q: Investing: Lesser-Known Stocks The following question is based on the following information about th...

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Q: Publishing   The following table shows the results of a survey of 400 authors by a publishing compan...

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Q: The Cartesian coordinates of a point given. Find polar coordinates (r,0) of the are point, where r>0...

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Q: The marginal revenue for the sale of a product can be modeled by dR/dx=0.04x+100/x+10. where x is th...

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Q: Solve y"+y'-2y=0,y(0)=4,y'(0)=1

A: In the given differential equation, firstly find auxiliary equations and find roots .  After finding...

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine...

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Q: Let W be the region bounded by z = 81 – y, y = 9x², and the plane z = 0. Calculate the volume of W a...

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Q: Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we ca...

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Q: Taras heart rate during a workout is modeled by the differentiable function h, .  What expression gi...

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Q: find a power series for the function and the intervals of convergence  f(x)=2x/1-x2

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Q: = sin () cos %3D ») = sin (4) b. cos

A: To prove the given question

Q: Help solving 3-4

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other que...

Q: Draw the following graph on the interval – 225° < x < 135°: y = – 2 sin(x) – 2.5 -

A: Making a table of values, we get x sin(x) y=-2sin(x)-2.5 -225° 1/√2 -√2-2.5 -180...

Q: Evaluate the definite integral. 2 (x2 – 2)2 dx

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Q: Find the point on the line 6x + y = 7 that is closest to the point (−4, 3).

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Q: Find the arclength of y = 2a³/² on 1 < æ < 2

A: Answer is mentioned below 

Q: Use half angle formulas to fill in the blanks in the identity below: 1 1 (sin(4x))* - z cos( ar )+ ㅎ...

A: Formula-

Q: Ship distance problem

A: Formula used  Pythagoras theorem :- in right angle triangle  (Base)² + (perpendicular)² = (hypotenus...

Q: Substance A decomposes at a rate proportional to the amount of A present. Write an equation relati...

A: Given, Substance A decomposes at a rate proportional to the amount of A present. We have to find  ...

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.