Find the area between the curves. 2 y =x - 10. y = 8 - 3x The area between the curves is (Type an integer or decimal rounded to the nearest tenth as needed.)

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Q: 7. Find the exact x-value where the function f (x) = x + In (p² – 1) attains a maximum value. An…

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A: Follow the procedure given below.

Q: 1-r 1 can deduce, by applying the formula at r = -9, that 10" -1/8 1-9 Select one: O True O False

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Q: Use substitution to find the indefinite integral. 2 | 5z² – 3 dz -3 dz =

A: Given: I=∫z5z2-3dz   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C

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Q: Given the function f defined as: f: R-(2} R X+4 f(x) = %3D 2x-4

A: Here, the given function is: f:ℝ-{2}→ℝ and f(x)=x+42x-4

Q: 4. For the following motion equations = 2t° - 15t + 36t – 22, t>0 a. Find the velocity and…

A: A detailed solution is given below.

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Q: Evaluate the integral: 2T So cos² (0)d0 *Input answer as decimal round-off to 2 decimal places

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Q: Evaluate the following integral. Expand the integrand and write the resulting integral. | dx (Type…

A: Given:         ∫6x2x2+9dx   Expand the integrand.      =∫6x2·x2+6x2·9dx         =∫6x4+54x2dx

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A: Given problem:-

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A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: Evaluate the integral: V3 S arctan () da *Input answer as decimal round-off to 2 decimal places.

A: Given :∫13arctan1xdx

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Q: Evaluate dx -31 x a,

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Q: 1/2 dx 1-х4

A: Let 1-x4 = t

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Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis 2. y = 3x –…

A: Solution is given below:

Q: Evaluate [², dx V4-x2 2.

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Q: Write a in the form a = a-T+a,N at the given value of t without finding T and N. )3 (7 e*cos t)i+ (7…

A: Given that;                      a(0)  = atT + anN     Let's   Find  the value of at and an.

Q: The following integral may be solved using substitution. Choose a function u that may be used to…

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Q: Q1: Define each of the following b) Normal group c) Nilpotent element d) Prime ideal e)Field.

A: Define each of the folowing:- b) normal group c) nilpotent element  d) prime ideal e) Field

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: Find dy/dx if y = log10(x² + 1)² D. dy/dx = log1o e (x² + A. dy/dx = 4x(x² + 1) 2x log10 e В. dy/dx…

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Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

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Q: Find and classify the critical points of the function: f(z, y) = z' + y* – 144ry + 4 Local maximums:…

A: Given that; f(x,y) = x^4 + y^4 - 144xy + 4  Let's  find minimum and maximum points;

Q: de r= 4 e ao and = 3 dt

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Q: Find (6x+5) dx. (6x+ 5) dx%3D

A: Note that: ∫xndx=xn+1n+1+C

Q: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: In the appropriate interval of convergence, we know that then we %3D 1. 1 can deduce, by applying…

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Q: Use the tabular method to evaluate the integral x³ + 2x – 1) cos(4x)dx

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Q: Let's practice on how to complete the square because this will help us to identify whether the given…

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Q: Find the indefinite integral. Check your result by differentiating. 10x dx Step 1 Observe that is…

A: ∫un du =un+1n+1+C

Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

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Q: The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) k is the position of a particle in space at time t.…

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Q: At t = 0 the tank was empty. (3.9) (s.9) .(12,9) gal min 7 10 min (9,-4) How many gallons were in…

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