x² – 1 lim x→1 /x – 1

Q: usider (x. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: ху x+

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Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

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Q: 1. 4x dy – y dx = x²dy %3D

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Q: Which interval of 0-values corresponds to the shaded region in the graph of r = f(0) = 2.1 – 0? On…

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Q: Find the area A of the part of the circle r = 13 sin(0) + 13 cos(0) in the fourth quadrant. (Use…

A: Here we have to find the area A of the part of the circle r in the fourth quadrant.

Q: Given: dx x3 Using trigonometric substitution , solve for the integral form in terms of 0. A sin? 0…

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Q: ind the area and the circumference of a circle with diameter 6 m. Ise the value 3.14 for a, and do…

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Q4/Find The Inverse Laplace Transform By Partial 3s-12 Fraction (s-1) (s2 +8)

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Q: Use the information about values of the functions and their derivatives to calculate H'(4), where…

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Q: Find the velocity and acceleration vectors in terms of u, and ue. d0 T= a sin 60 and = 5t, where a…

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Q: 2x How many times will you use integration by parts in solving- cos²(2x) once O twice O thrice no…

A: Here, the given integral is: I=∫2xcos2(2x)dx=2∫x sec2(2x) dx

Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

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Q: You are building a right-angled triangular flower garden along a stream as shown in the figure. (The…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We find the local extrma using first derivative test by checking the nature of f'(x) at different…

Q: 5x -dx? J x³ + x² + 4x+4 How many quadratic and distinct factors are in the denominator of

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Q: 2) Calculate lim ( In(3x + 1) – In(2x + 1)). -

A: Since you have asked multiple questions, we will solve the first question i.e., Question-(2) for…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4 + 54x –…

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Q: 4. sin2 -x | dx. Use trigonometric groups. 2 X| cos

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Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: Select all that apply: □ (5. 똥) □ (5. 플) O (5. -*) (-5, ) □ (-5. 똥) O (-5, -)

A: Polar

Q: Consider the following function. f(x) = x3 - 3x2 – 9x + 5 Find the first and second derivatives.…

A: Since, you have posted question with multi-parts. As per guidelines, we"ll solve only first three…

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. lim…

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Q: 6 (a) At point Q, fx is ? fy is ? and (b) At point R, fx is ? • and fy is ? (c) At point S, fx is ?…

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Q: Consider the following function and closed interval. f(x) = x3 - 4x2 – 16x + 5, [-4, 4] Is f…

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Q: 1. Evaluate the following limits. 2 - V2r + 10 a. lim 1-3 x2 + x – 6 4x – 7 lim z+-1- \3x2 – 2r – 5…

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Q: 4. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6, 7}, B = {all multiples of 3} and C =…

A: U=1,2,3,4,5,6,7,8,9A=3,4,5,6,7B=all multiples of 3C=all multiples of 2

Q: Given the equation below, find dy/dx* 6x^3+2x^30 y+y^4= 9 dy/dx= Now, find the equation of the…

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Q: The result of x3/x² – 1 dx is F(b) – F(a) where F(a) and F(b) are both real numbers. What is the…

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Q: Find the first partial derivatives of the function. f(x, у) = 3x + 5y + 4 fy fy

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Q: (U.1. 6. Find the dimensions of the closed rectangular box of largest volume with surface area of 16…

A: Surface area of the closed rectangular box:(with square bases) and height h;2x2+4xh…

Q: Write a in the form a = a- T+ anN at the given value of t without finding T and N. r(t) = (t + 5)i +…

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Q: Find the general (real-valued) solution of the following differential equations. If an initial…

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Q: In polar coordinate system, which of the following does not refer to the point (3, pi/6)?    A. (3,…

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

A: We have to find the equation of tangent plane

Q: d d Calculate ri(t) · r2(t)] and rı(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: If 7-4/3 = Vx-Vy, determine the values of x and y. %3D

A: We have to find the values of x and y from the above expression.

Q: Question 7 15х2—х3— 43х — 19 Ax+ B C D -dx can be rewritten as dx. The integral + + (x+1)2(x2– 6x…

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Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: 1. Evaluate the following limits. 2 - V2a + 10 a. lim 2-3 22 +r - 6 4x – 7 lim с. -1- (3r2 – 2.r 5…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: dx If x2 - 2x - 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: x³ + 6x² + x +2 dx? How many quadratic and distinct factors are in the denominator of x³ +1

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Q: dx x2 — 2х — 4

A: I=∫dxx2-2x-4=∫dxx2-2x+1-5=∫dx(x-1)2-52

Q: Consider the following. (If an answer does not exist, enter DNE.) (x) = x6e=x (a) Find the…

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Q: Find the uv - ∫ vdu form of  ∫ √x ln(2x) dx

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Q: u+ 2v = 1+ vw; w, and vw. w

A: To find the partial derivatives for given function.

Q: 3r + cos a 2. Use Squeeze Theorem to evaluate lim 1-00 V1+ x² – 5x

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Q: x arcsec x dx ? xdx A. x Arcsec x - 25- ... B. ** Arcsec x -- V-1 xdx xdx C. x Arcsec x + 25- xdx D.…

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