Fill in the blank. (Note: The notation x→ c' indicates that x approaches c from the right and x → C indicates that x approaches c from the left.) As x→ ∞, the value of arctan(x) →

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A: According to the guidelines, we are answering first three subparts. Please repost the remaining.…

Q: find the curvature of r(t)=⟨3t2, ln(t), t ln(t)⟩ at the point (3, 0, 0).

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Q: X 0 1 23 4 5 6 f(x) 4 -202 1 -4 11 3 -3 1 74-2 f'(x) 6 g(x) 3 15-2 1 10 g'(x) −1 −5 23 4 -1 6 a) !…

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Q: 1- Given the vectors A=[2, 3, -5], B=[8, -4, 3], and C=[-6, -2, 0], simplify or evaluate the…

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Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

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Q: Q4) Prove that dx 1+ 2 sin x In tan x 2 tan X + 2√√3 +2 + √√3

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A: Given: I=∫12lnxx2dx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

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Q: Let f(x) be a function which has inverse. If f(3)=8 then f-1(8) equals a. 8 b. -5 c. 5 d. 3

A: It is given that,  f(3)=8 f-1(8)=?

Q: 2e²x +7e* e2x+4ex+13 S dx

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x2 and the…

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Q: 13. Use integration by parts to evaluate [x rlnrdr.

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Q: 24. What does it mean to say that dV is an exact differential?

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Q: the tangent plane of the surface [ x^2+y^2+z^2=14] at the point (1,3,2) O 3 x-6y + 4z = 28 2x+6y-4z…

A: Given problem:- the tangent plane of the surface [ x2 +y2+z2=14] at the point (1,3,2)

Q: 1 Use technology to help you sketch the graph of each function for 0≤x≤ 2. a y sinx by=2 sinx c y=3…

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Q: the Taylor polynomials T₂(x) and T3(x) centered at x = 10 for f(x) = ln(x + 1). T. (m) 1

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Q: 1)

A: Solution ) 1) in the first graph   We see that  In every value of x , y value is constant which is 2…

Q: PART I. DIFFERENTIALS Using differentials approximate the value of the following 5. √64.05

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Q: IV. Evaluate: lim (x² + €¯²) (² - ¹ cs

A: We can evaluate the given limit by using the properties of  limits.

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Q: - b) Find the area between the 2 curves f(x) = x² + 4- 4x and x- with the two lines=5&x= 2. axes and…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: 1. A Bernoulli differential equation is one that takes the form y' + P(x)y = Q(x)y". (a) Classify…

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Q: 17 Evaluate the integral: SERV - dx x²√x² + 25 (A) Which trig substitution is correct for this…

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Q: 8. Find the volume of the solid obtained by rotating the region R enclosed by y = x² and y = 2 - x²…

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Q: 2. If ƒ (x) dx = = 4 and 3g(x) dx = −9, evaluate [*² [3ƒ(x) + g(x)] dx -2

A: Topic = Integration

Q: Let F be the function below (Click on graph to enlarge) Evaluate the following expressions. Note:…

A: limx→a F(x)=L if and only if limx→a+ F(x) = L= limx→a- F(x) . A function F(x) is continuous at x=a…

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Q: Match the function with its graph. y = tan tan

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Q: Let f be the function below. You can click on the graph to get a larger image. M Determine the…

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