3 (x + h)³ – a³ lim h0 h

Q: S x2 +2x-10 (2x+4) + 1 JE + 4x +5) Consider dx = x² (x² + 4x + 5) (2x+4) + 1 dx- x² + 4x +5 dx ,…

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Q: 1 1) [ (tan³ 0 + tan³ 0) e-tan º d0== 2 (-1)" n! (In x)" dx= (m + 1)"+1 ·

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: lim - Va +1

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Q: Given the area  in the first quadrant by x^2 = 8y, the line x = 4 and the x axis. What is the volume…

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Q: 5. Use differentials to approximate the value of V(3.01)² + 2(0.99) – 3 in four decimal places.

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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: A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y=…

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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: Evaluate the definite integral 3e-0.05r dr by the following steps: (a) Determine the indefinite…

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Q: If f(x) = (4x – 2)² - (3x² + 6)", find f'(4).

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Q: o and lim g(X) J(X)g(X) is always 0.

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Q: Below is the motion of a particle given by the following parametric equations as t varies in the…

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

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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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Q: B/Using the following table, find f(x) as polynomial in x: -1 0. 3 6. F(x) -6 39 822 Good Lup

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use the algebraic substitution and solve the integration.

Q: 7.) Find the area inside the graph of r-7 + 3cos(e) and to the left of the y-axis

A: As per bartleby guidelines we only give first  questions answers.

Q: 15х2 — х3— 43х - 19 The integral | can be rewritten as (x + 1)²(x² – 6x + 13) Ах + B C D lax² + bx +…

A: Follow the procedure given below.

Q: Evaluate the integral 3 2x cos(xy)dydx 2

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Q: 2x+11 1 Consider f dx = x2+x-6 x-2 x+3 then evaluate S(-dx xp(* - 3 x+3

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Q: Find the area: y = sin x, the x-axis, the y-axis and the vertical line x = 2 *

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 41. Suppose that both f and g have inverses and that h(x) = (f o g)(x) = f(g(x)). Show that h has an…

A: Explanation of the answer is as follows

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: S csc6 cot* w dw W

A: Given,           ∫csc614wcot414wdw

Q: Sketch and use a double integral to find the area of the region R bounded by the lines: y = 0, y = x…

A: A detailed solution is given below.

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: Complete the following KenKen puzzle to determine what is represented by x and y?

A: The rules of KenKen puzzle is: Use each number only once per row, once per column. Cages with just…

Q: Use substitution to evaluate the integral. s1/5 sin(s/5 - 2)ds 1/5 6/5 sin(s - 2)ds = %3D

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Q: 3) Given: f(x)=x* - 5x'+9x? a) Use a sign analysis to show the intervals where f(x) is increasing,…

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Q: Evaluate the definite integral: 1/5 dx 1-x2

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Q: %3D Determine the speed along a parameterized path c(t) = (6 sin¬'(t), 3 tan¬(1)) at time t = 0…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The domain of a vector valued function is the intersection of the domains of its components.

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: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), B(—2, 3,…

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Q: e2" (x + 1) cx – e(x4 – 1)dy = 0 d Hint: 4 (arctan x) = dx 1+x*

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Q: Find the polar equation of the line y = 7x + 5 in terms of r and 0. (Use symbolic notation and…

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Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: Use the following theorem to evaluate the integral le - 4|dx. Theorem: Iff is integrable on a closed…

A: Given:     ∫-22ex-4dx Eliminate absolutes      =∫-22ln2-ex+4dx+∫2ln22ex-4dx…

Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

A: vector

Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

A: As per the guidelines I am supposed to the first question among multiple questions. So I am solving…

Q: dx ex sin2 (e

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: The given function,   f(x)=1x+ln x, 0.6≤x≤5

Q: A.) In each of the following, find the area bounded by the given curves; Solve for the points of…

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Q: The curve with polar equation 24 3 cos 0 + 4 sin 0 is a line. Find the slope and the y-intercept of…

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Q: (a) How many integers from 200 to 2000 inclusive are multiples of 4?  (b) How many integers from…

A: As per our guidelines we are supposed to answer only three sub parts of the question. So I am…

Q: evaluate

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Q: Using Integration By Parts, x sec - x tan x dx = %3D

A: Use integration by parts.