lim xi-

Q: Exercise 9. Find the area bounded by the graphs of functions y = x°, y = 8, x = -1.

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Q: (x²+x x + 0, which of the statements, I, II, and III, are true? 1 x = 0 17. If f(x) = I. A0) exists....

A: Given function is,  f(x)=x2+xx,           x≠01   ,                x=0   Since we have, f(0)=1     ⇒ ...

Q: n+10 (B) If En-1 then the series a, Ea, i 4n2-3n3+7 ti) Converge (ii) Diverge

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Q: Find the equation of the tangent plane to z = In(x?y) – x/ỹ at (-,4). %3D

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Q: A circle is circumscribed about a regular triangle. A second circle concentric to the first is inscr...

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Q: Find the solution of the equation dy -y = x dx | subject to the condition y(1) = 2. %3D

A: Given differential equation is xdydx-y=x and y(1)=2

Q: Evaluating Line Integrals.

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Q: Find the Taylor series generated by the function f(x) = xª+x² +1 at x = -2.

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Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 2x;  R(x) = 6x − 0....

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Q: For what values of a does lim r(x) = r(a) if r is a rational function? xa Choose the correct answer ...

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Q: Find the particular solution analytically, show the works. Please do question 5 only.

A: Solving by substitution method

Q: Question 1: Determine if the two planes 6x + 18y + 14z = -2 and the plane containing the points (1, ...

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Q: Find the following limit or state that it does not exist. (6 + h)2 - 36 lim Simplify the given limit...

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Q: If lim, 3 x2 = cr² = 9c. 9, then lim, 3 cx? True O False

A: Given limit is: limx→3x2=9 From property of limit, limx→akfx=klimx→afx Now, limx→3cx2=climx→3x2=c×9=...

Q: hi!

A:                         Given:                                 Volume of a right circular cylinder V...

Q: 1 3 5 6 7 8 9 27 38 ? 4-

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Q: Draw the region of integration and evaluate the following integral. || 12x²y- y² dydx -2-x2

A: Evaluate of integral

Q: 3 5 7 9 4'9' 16' 25 (G) The general term of the sequence starting by n=1 is 2n+1 )+0 (i) l(n+1)². n=...

A: Since you have posted multiple question I am solving 1st 3 only

Q: 3) Write down the equation of line in a vector parametric form, scalar parametric form and standard ...

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Q: Use the change of variables X = u, y = uv to evaluate ex dA, where R is the region R in the xy-plane...

A: Solution: The objective is to find the value of ∬ReyxdA where R is the region in the xy-plane bounde...

Q: Show that the point (5,4,2),(6,2,-1) and (8,-2,-7) are collinear

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Q: ir -1+++*- then 1++ -- If

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Q: Draw the region of integration and evaluate the following integral. L II 12x*y- y* dydx -2-x2

A: Integration of integral

Q: Find the average rate of change of f(x) = x2 from x1 = -2 to x2 = 0.

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Q: Determine D„f (4, –1,6) for f(x,y,z) = e**y + 4zx³ in the direction of (–3,2,6).

A: Given: fx,y,z=ex2y+4zx3. Find the directional derivative of fx,y,z=ex2y+4zx3 at the point 4,-1,6 in ...

Q: Given →u×→v=⟨−2,−3,−1⟩u→×v→=⟨-2,-3,-1⟩, find (→u−2→v)×(→u+3→v)(u→-2v→)×(u→+3v→).

A:  we will use the definition of the cross product of two vectors and and the following properties tha...

Q: Carol threw an eraser straight up in the air with a starting velocity of 12 m/sec and a starting hei...

A: Initial velocity is 12m/sec  and initial height is 1 meter The general equation of object height at ...

Q: Draw the region of integration and evaluate the following integral. IL 12x*y – y² dydx -2-x2

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Q: Evaluate the limit:

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Q: Evaluate x² + 1 – Vx²2 – 1 dx - Va4 – 1 |

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Q: Find the 1st three terms in Taylor series for f (x) = sinnx near x-0.5

A: Tahe taylor sries formula is  f(x) =sum_{n=0}^{infinity}(f^(n)(x0))/n! 

Q: A point (-4, 3) on the terminal side of angle θ is given. Find the exact value of each of the six tr...

A: Given: A point (-4, 3) on the terminal side of angle θ. We have to find the exact value of each of t...

Q: Consider the position function s(t) = sin (at) representing the position of an object moving along a...

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Q: differential equation Consider a large vat containing sugar water that is to be made into soft drink...

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Q: q4

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Q: (x²–1)dx (x+3x2 +1)[tan-1( (B) The evaluation of . dx is In |tan=|+ e -In tan- + (i) (ii) c (iii) No...

A: Answer will be  (iii) none of these. 

Q: xcrcise 4. ketch the graph of function y = x sin(In(x)) a) Identify the domain of function and any s...

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Q: Find all the local maxima, local minima, and saddle points of the function f(x, y) = y³ + 3x²y – 6x²...

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Q: help please thank you

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Q: Find the angle which the straight line y=/3x – 4 makes with the y-axis

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Q: 1. The vector x expressed in terms of the vectors w and u а) w — и с) w + u b) и — w м.п (р

A:                                                                                                     ...

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Q: hi!

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Q: - f(x) = -1; lim lim 16. Suppose x-3+ f(x) = -1; and f(-3) is not defined. x-3- Which, if any, of th...

A: Given that limx→-3-f(x) =-1 and limx→-3+f(x) =-1. Which implies that limx→-3f(x) =-1. So, Statement ...

Q: 5(x - 10) Let f(x) = sin (x- 10) a. Graph f to estimate lim f(x). x+10 b. Evaluate f(x) for values o...

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Q: Зx (х-1) x + 1,x # 2 15. If f(x) = · |x²-3x+2 -3 , then f (x) is continuous x = 1 x = 2 4

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Q: Consider the function g(x) = 5 S cos t dt – x?. Then g' (x) is

A: Given gx=12∫x4x2costdt  -x2

Q: Find the 1st three terms in Taylor series for f(x) = sinnx near x=0.5. %3D

A: The Taylor Series expansion for a function y = f(x) about a point x = a is given by: f(x) = [f^(0)(a...

Q: Find the following limit or state that it does not exist. lim (t2 + 5t + 8) t+7 Select the correct c...

A: Find the limit?  Lim (t2 +5t+8)  t->7

Q: Find the following limit or state that it does not exist. 8 8 9+h 9 lim h

A: First we have to simplify the given expression.

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.