Evaluate the following limits: z² + 4z – 12 z² – 2x 3. lim

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Q: 7. There is a removable discontinuity 8. There is a jump discontinuity at x = 1 and f(1) = 4 at x = ...

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Q: Now recall the general version of the power rule, where n is any real number. d = nx" – 1 dx Applyin...

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Q: (a). [usin(u)du (b). ſu cos(u)du Hint: Use the result of (a) after one use of integration by parts! ...

A: I will provide you very good handwriting so that you can understand it

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A: Given:- (2xy+y)dx+(x2-x) dy=0 To find:- GENERAL SOLUTION FOR GIVEN DIFFERENTIAL EQUATION

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Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

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Q: 10) 84° 12 in 57°

A: Note :- These are multiple questions and according to our company law we can do maximum one question...

Q: Consider the following sequence: (a) Write out the first five terms of the sequences.[Give exact ans...

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Q: What is the derivative of the function y = x+ Vx + VT ?

A: Given,            The function is y=x+x+x.To find : The derivative of the given function.

Q: Implicit differentiation

A: Given that: 1. 2x3y+3xy3=52. x2=x+2yx-2y3.xy-4y=x           NOTE: As per our answering guidelines, w...

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Q: If R is the region bounded by the lines y = x,y=0,x= 1, evaluate the dxdy double integral S by chang...

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Q: Find all values x= a where the function is discontinuous, For each value of x. give the limit of the...

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Q: The total cost (in dollars) of producing x coffee machines is C(x) = 2200 + 30x – 0.1x?. the exact c...

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Q: If ut and and u Uk are convergent series, then (uk + vx) and -) are convergent series and the sums o...

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Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 3. lim f(x) = -2, x-2- 4. lim f(x) = +o, ...

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Q: Evaluate the integral: -dz (A) Which trig substitution is correct for this integral? Oz= 17 sin(0) z...

A: Given that: ∫17x2-9x4dx

Q: 8. Evaluate the following integral |cos (x)dx

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Q: nd the arc length of the parametric curve associated with: t? 4/2 2 3 r (t) = * t3/2, 4t 0 <t< 1. on...

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Q: Consider the following sequence: (an) = nt1 to show that the given sequence (a,) is strictly increas...

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Q: If $2,000 is invested at 7% compounded monthly, what is the balance after 8 years? $3,601.84 $3,490....

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Q: 6. Evaluate the following integral: [sin 8x cos 5x dx

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Q: 1.Assume that both the functions f and g are twice differentiable and   the second derivatives are n...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Use the equations to find dz/əx and əz/ðy. хуz %3D sin(x +у + 2) əz ax əz ду II II

A: We have to find partial derivative.

Q: Question Currently, the number of people entering a shopping mall is 109, It is estimated that the n...

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Q: Which of the following is the formula for finding the distance between two points on the coordinate ...

A: The formula for finding distance between two points (x1,y1) and (x2,y2) is, d=(x2-x1)2+(y2-y1)2 Opti...

Q: For the function ƒ (x) = 1 – 1 / (x + 2)2 , find the following: ii ) ƒ ( x + k)

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Q: limits justifying 1.E valvate the (l answers with CalcUlativns or expianution- part Ai lim x²-X-6 wi...

A: Topic = Limits

Q: Given the graphs of f(x) and g(x), determine the value of expressions below. y f(x) y = g(x) lim (f(...

A: From the given graph, we can find the following limits: limx→2f(x)=0  limx→2g(x)=0 limx→1g(x)=1 limx...

Q: To evaluate: The integral function x2 +x + 1 -dx. (x² + 1)²

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Q: sec 2 2 O tan´y dx = secx dy

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

Q: Identify the quadric surface each of the following equations represent and sketch its graph.

A: Given that: 4x2-y2-25z=100

Q: Computational: (1) Given the function y = x3 +3x + 1, answer the following items. a) Find the slope ...

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Q: A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the heigh...

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Q: 2. Solve the system by Gauss elimination: х-Зу+z%3D1 2х- у+2z %3D2 x+2y– 3z = –1

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Q: 4. Use the product rule twice to prove that if f, g,h are differentiable, then (fgh)' = f'gh + fg'h ...

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Q: 84. A man is on a wharf 4 m above the water surface. He pulls in a rope to which is attached a coat ...

A: Given that: Height of wharf above water surface, h=4mRate of pulling=2m/sec

Q: - y=-2x + 2 6. у%3D-2х -2

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Q: y = (5x3-7x2+ 2x-3)1

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Q: In Exercises 19–22, show there is a number c, with 0 ≤ c ≤ 1, such that f(c) = 0.  19. F(x) = x3 +x3...

A: Use intermediate value theorem

Q: Use Table the limit of values to deftermine tim

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Q: 3 Below is the graph of y =x. Translate it to make it the graph of y = (x+1)– 2. 中

A: We need to translate y=x3 to the graph of y=(x+1)3-2. That is, I'll shift the graph by 1 unit to the...

Q: Evaluate. 25х —31 dx J (x + 5)(x² + 1) %3D

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Q: If s is a position function, measuring distance (m) travelled in seconds what does the expression   ...

A: limit

Q: Find the derivative. USING CHAIN RULE 4 y = V3x² – 5x + 2

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Q: Vx2-9 dx 3. x3

A: To evaluate:∫x2-9x3dx