.sin x XE

Q: Prove that the graph of the equation Ax2 + Cy2 + Dx + Ey + F = 0 is one of the following (except in ...

A: Given, The graph of the equation is, Ax2+Cy2+Dx+Ey+F=0 Let A=1, C=0 so that, x2+Dx+Ey+F=0 By complet...

Q: Find the intercepts y=5x-8

A:  

Q: Solve for x accurate to three decimal places   ln x = 2

A: Given: lnx=2 we know that if lnm=n then m=en similarly, lnx=2x=e2x=7.3890x≈7.389

Q: Demand function for pizzas After studying sales for several months, the owner of a pizza chain knows...

A: Given:            d=mp+b   To determine :         Constants m and b=?     Solution:  When Cost of on...

Q: Find the absolute extrema of the function f(x) = (x +9) 2/3 on the interval [-5,1]. Find the second ...

A:   To find absolute extremum of given function:

Q: Find the mass of the planet's atmosphere.

A:

Q: At what points (x, y) in the plane are the functions in Exercises 31–34 continuous?

A: Since you have asked multiple question, we will solve the first two question for you. If you want an...

Q: DISCUSS: Algebraic Errors The left-hand column of the table lists some common algebraic errors. In e...

A: Need to find out counterexamples for the data

Q: Is either of the Attached equations correct? Give reasons for youranswers.

A: a. x∫1x dx=x·lnx+C Given equation is wrong, because x∫1x dx=xlnx+C=xlnx+Cx  

Q: Write a formula for the general term (the nth term) of the geometric sequence, 0.0007, -0.007, 0.07,...

A: Given information: The geometric sequence is 0.0007, -0.007, 0.07, -0.7,......... Concept used: The ...

Q: If possible, find an absolute extremum of g(x) = - (x-3) on the interval (0,6). e Select the correct...

A:

Q: Determine the following indefinite integral. Check your work by differentiation.

A: where c is the constant of integration.

Q: Use the information to determine the limits.

A: limx→cfx=∞  &  limx→cgx=-2   a). limx→cfx+gx=limx→cfx+limx→cgx=∞+-2=Does not exist   b). limx→cf...

Q: Find the exact value of the expression sin 7π/4. Do not use a calculator.

A: Given:  sin 7π4

Q: Find: (a) the intervals of which f is increasing, (b) the intervals of which f is decreasing, (c) th...

A: "Since you have posted a question with multiple sub - parts, we will solve first three sub - parts f...

Q: Find the indefinite integral and check the result by differentiation                   ∫(x2 − 9)3(2x...

A: Given, I=∫x2-932x dx

Q: In Exercises 3–8, compute f'(a) in two ways, using Eq. (1) and Eq. (2).

A: Given that, fx=3x2+4x+2      ...(1)

Q: Graph the curve and visually estimate its length.Then use your calculator to find the length correct...

A: Given: y=x2+x3, 1≤x≤2 To Find: i. Graph the curve and visually estimate it's length.ii. Find the len...

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [1/2 (cos π/12 + i sin π/12...

A: Given, 12(cosπ12+isinπ12)6 We know that, The DeMoivre's theorem, rcosθ+isinθn=rncosnθ+isinnθ  

Q: The sum of two positive numbers is 16. What is the smallestpossible value of the sum of their square...

A: Given, The sum of two positive numbers is 16. Suppose these two positive numbers are x and y The sum...

Q: The problem involves trigonometric equation quadratic in form.Solve the equation 2 sin2 x = sin x + ...

A: 2sin2x=sinx+3

Q: Determine whether the function is even, odd, or neither. Then find the zeros of the function. Use a ...

A: A function is said to be even if f(x)=f(-x) A function is said to be odd if f(x)=-f(-x) If above bot...

Q: Determine the possible numbers of positive and negative real zeros of f(x) = x4 - 14x3 + 71x2 - 154x...

A: Given function is f(x) = x4 - 14x3 + 71x2 - 154x + 120. Descartes' rule of sign is used to determine...

Q: 4 The determinant value of the matrix A =5 -7 -4 is %3D 4 9. O -65 O -71 O -73 O-63 O -68 2] 4 5

A: Given: Matrix A=4045-7-4429

Q: Working with vectors Let u = ⟨2, 4, -5⟩ , v = ⟨-6, 10, 2⟩ , and w = ⟨4, -8, 8⟩ . For what value of a...

A: Since, we have been given that u⇀ =<2, 4,-5>,  v⇀=<-6, 10, 2>and  w⇀= <4,-8, 8>.Ou...

Q: Find the quadratic approximation to ƒ(x) = 1/(1 - x) atx = 0.

A: Given,  f(x) = 1/(1 - x) at x = 0

Q: If f(x) = sin x and f(a) = 1/4, find the value of f(a) + f(a + 2π) + f(a + 4π) + f(a + 6π).

A: Here given as fx=sin x It is a periodic function with period 2π Thus f2nπ+x=fxPut n=1, 2, 3, thusf2π...

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0, ...

A: Given:Focus0,20Directix y=-20Parabola:x-h2=4p y-k    

Q: Evaluate or simplify the expression without using a calculator: 10log 33

A: Given that: 10log1033

Q: Simplify : See as attached

A: Given, 1a3-b3·ac+ad-bc-bd1-c-da2+ab+b2

Q: a. Use the Bi-section method, to approximate v2 in three steps in the interval (1,2| (use 3 digits r...

A:

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.