csc? x-2 lim lin cot x-1 4 2 lim (x sin) X→+0 lim sec x 2

Q: If f and & are continuous function of *, which of the following is true? F (x) dx+ (x) dx -dx: 8(x) ...

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Q: 19. Prove that for each integer a, 3 divides (a + 23a). Hint: sing Theorem 3 0g and tehnia

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Q: The solution to (2x – 4y – 3)dy = (x – 2y)dx is: %3D а. 6у—х? — 4ху + 4y? %3D с c. 6y +x? + 4xy+ 4y?...

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Q: Car Model Price Average Mileage (mpg) Ford Escape S model (conventional) $26,510 28 city/ 34 hi...

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Q: 1 e* dx PROBLEM 2: J: 2 Inx e"dx PROBLEM 3 : PROBLEM 4 : re-3x²+1_ dx хе 4x PROBLEM 5: J Ine

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Q: Points D, E and F are midpoints. Point G is the circumcenter of AABC. Find the following measures. 1...

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Q: agram, the slide casts a shadow 2.97 m along the ground. The distance between the tip of the shadow ...

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Q: 1. Which one of the following facts supports the formula for the circumference of a circle? A. The d...

A: We will use basic knowledge of geometry and arithmetic to answer this question.

Q: 2 7. y' +y = x; y(1) = 0

A: 7) y'+2xy=x;  y1=0 compare with y'+py=q we get p=2x , q=x find the integrating factor I.F=e∫2xdx    ...

Q: Write -4 -3i in polar form A) 5 38.87° B) 5 <216.87° 51 323.13° D 51 <143.13°

A: The given problem is to convert the given complex expression in rectangular form to polar form. Give...

Q: rest rate of

A: Given, Ms. Drake invests $1000 at a simple interest rate of 8.5% for 2 years. The interest during th...

Q: 1- Expand the following periodic function in Fourier series. The function has a period of 7 = 2a -T ...

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Q: Which equation represents the line on the graph? A x = 5 %3D В у%35 C y = x D y=x + 5

A: Let us consider the general equation of line ax+by=c  Case-1 If  for all x , y=0 then the equation o...

Q: esent value of the income c (in dollars) over t1 years at the given annual inflation rate r. (Round ...

A: Introduction: The formula for the present value of the cost function is given by, Present value=∫t0t...

Q: 9. x &x In

A: We know that,dlnxdx=1xdxndx=nxn-1∫1xdx=lnx+CWe have to evaluate the integral :∫xdx1+x2ln1+x2Let ln1+...

Q: The general equation of the circle that passes through the points (-3,4), (2,–6), and (5,0) is x2 + ...

A: Given: Let us consider the given general equation of the circle, x2+y2+Dx+Ey+F=0 and the circle pass...

Q: ® lim inf of snaG)"(-+;) is ?

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Q: Evaluate the following indefinite integrals: a) ∫ (1/x + 3/x2 - 4/x3 ) dx b) ∫ (x2 + 2x - 5) / √x dx...

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Q: For the vectors: (6, –5) and V = (-1,4) U = Which of the following is the correct value of: |3 7ỉ – ...

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Q: Find a particular solution to y" + 5y' + 6y = lte".

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Q: Determine whether each of the following coverges conditionally, converges absolutely, or diverges. S...

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Q: Expand the function using Taylor series expansion. h (t) = 2t(1+ t) in powers of (-1)

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Q: Find the area under the standard normal curve.  1. Between z = 0.46 and z = 2.57

A: Given that z=0.46 and z=2.57. We have to find the area under the standard normal curve between z=0.4...

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Q: O which of the following valve of S vill not show that lim Xーダ a) min (1,1E-i -1) 6) min (1, JE -1) ...

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Q: Problem 3: Prove that between every two rational numbers a/b and c/d a) There is a rational number. ...

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Q: Determine whether the set is a vector space. If it is not, identify and check all the vector space a...

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Q: PROBLEM 1: int. e^sinx dx/secx PROBLEM 2 : int. e^1/x dx/x2 PROBLEM 3 : int. e^inx dx/x PROBLEM 4 : ...

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Q: a) A U B = À nB b) Find

A: This is a problem of set theory.

Q: What is the exponential form of the complex number 4 + 3i A) 5eba, 13 B) 5ebs,a7e © 7e5z, 12 D 7e b6...

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Q: given inverse of the coefficient matrix to solve the following syste 7x, +2x2 = -8 1 1 A-1= 7 5x1 - ...

A: In this question, the concept of matrix multiplication is applied. Matrix A matrix is a rectangular ...

Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7% eve...

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Q: Prove that the smallest member of a set, if exits, is the greatest lower bound of the set.

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Q: Section I: EXPRESSIONS AND EQUATIONS 1. a. Evaluate 25.2-3

A: evaluate the expressions 1) a) 25·2-3 it is known that  xa·xb=xa+b using the above property  25·2-3=...

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A: Introduction: The formula for the are of the circle for the radius x is given by, A=πx2  

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Q: The special integrating factor of y'dx+(3xy + y² -1dy = 0 is: a. e3y b. Зу С. У d. y-3

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Q: a 4 Evaluate 2 nch2) where a i anotant.

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Q: Construct a function N--->N other than the usual successor function which satisfies Peano's Axioms. ...

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Q: ark and Lance house it will be four times as old as it is now if they have 21 years left on mortgage...

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Q: Evaluate the triple integral: -In y (z) dzdydx A. In 4 + 13/6 C. 13/6 - In 4

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Q: nsider the differential equation ( where p, qe R) y" +py' + qy = (6, 6x + 1)e.1z (*), that accepts y...

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Q: 9. What is the volume of the pyramid pictured below? 1,539 in3 6 in 1,026 in3 18 in. 648 in3 18 in. ...

A: To find- What is the volume of the pyramid pictured below?

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Q: 4. Let S is the surface z = 5- - y, 1s z in R. Let S be oriented with the normal vector pointing upw...

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Q: Use the power series method to solve the initial value problem: (x² + 1)y" + 2ry' = 0, y(0) = 0, y'(...

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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.