Which of the following integrals would yield the area of the region below? 2 x=y 3 1 0 x = 8y 00 8

Q: (3x² - 10)dx x² - 4x + 4

A: The integral using substitution is answered below:

Q: Correct Use the midpoint of each subinterval for the value of each ck to find the Riemann sum Ss for…

A: Given f(x) =7-x    ; [-7, -2]   and   n=5

Q: A circle with radius 4 units and a central angle of 110° is shown below. 4 a 110 2. The arc length,…

A: We can find the arc length as below.

Q: In evaluating the definite integral ff (x) dx, where f (x) = sinx, the angle should be in:

A: Given the definite integral ∫abf(x)dx where f(x)= sinx To determine : The angle part of f(x) is in…

Q: Find the volume of the solid obtained by rotating the region bounded by x = 8y², y = 1, r = 0, about…

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Q: How do you answer question 1. Please write out each step and explain in detail what you are doing.

A: We have to find equation of Circle.

Q: Let r(t) = Find fr(e) de (don't include the +C) fF(t)dt = < [

A: Given,  r→(t)=-4t4-3,-4e3t,-2sin(-t) ∫r→(t) dt =∫-4t4-3dt,∫-4e3tdt,∫-2 sin-tdt

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: 1000 I(t) = 1 +999e-.6t where t is in days and I represent the number of infected individuals. 1(t)…

A: It=10001+999e-0.6t…

Q: What function will you differentiate to get each function? 3. g(t) = -3t2 + 12t - 17

A: Integration is the inverse process of differentiation.

Q: 7. What is the y-value in the solution to the system? A. -1 B. 5 C. 3 D. 2 8. Solve the system by…

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Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed b y=x,…

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Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: Concept: Derivatives: The derivative is the pace at which one quantity changes in relation to…

Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

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Q: Right A EFG has its right angle at F, EG = 8, and FG = 6. What is the value of the trigonometric…

A: Given, In right ∆ EFG the right triangle is at F. EG = 8 &amp; FG = 6 TO BE FOUND : Cot G Sin E Sec…

Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =…

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Q: 1) In medieval times there were 10,000 people living in a city that was struck by a plague so that…

A: This is a problem related to differential equation. based on the general formula of decay law we…

Q: 1. If a= (-8,2) and b=(-1.-7) the projection a on to b=....... 2. The angle between vectors A =…

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Q: Which x-value is most useful in approximating 25.01? 26 16 27 25

A: Given, 25.013

Q: Use Integration by parts to solve: Sxe cosxdx

A:

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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Q: How much work is required to pump all the water over the top of a full cylindrical tank that is 2 m…

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Q: Find the Laplace or Inverse Laplace of the following as indicated 4s+12 1. s²+85+16

A: We have to find inverse Laplace

Q: C. h(x) = = |x| x+3' x > 0

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Q: Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O…

A: We use sandwich theorem to find limit

Q: Solve CO (z-2)² 3ln 2-2-¹³ +C In | x − 2 − ₂ + C None of the Above 2 ln | x − 2 + + C

A:

Q: 5- Determine the value for x such that the points A(-1,3,4),B(-2,3,-1), and c(-5,6,x) all line on a…

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Q: 25. fx sec²xdx is a. x tanx - In cos x b. x tan x + In cos x c. x tan x-sec²x + C d. x tanx+sec²x +…

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Q: (a) Given the curve of y=x -x(x+3)(x-2)(x-5) i) Sketch the graph for -4<x<6 ii) Find the area of the…

A: Given curve y=110x(x+3)(x-2)(x-5) First we find point of intersection with X-axis, Therefore put y=0…

Q: Suppose we have the points A = [0, 1], B = [1, 3], C = [2, 2] and D= [3,2] (you may have to move D…

A: answer is in next step . please give a like !!

Q: How about number 2?

A: Let's solve two parallel diffrential equation problem.

Q: 8. Evaluate: fdx a. x + x+In+C b. In(x²-1) + C C. x + tan ¹x + C d. 1+In+C x-1

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function, f(x)=4x3-6x2-10x+1

Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: we have f(x) =4x3-6x2-10x+1

Q: Find the area of the shaded region. y = +3 (0,3) (2,7) A) 25/3 B) 352/3 C) 26/3 D) 22/3 2 x

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Q: Point T(√3/2, 1/2) is the point of intersection of the unit circle and the terminal arm of angle…

A: This question can be solved using the concept of polar coordinates.

Q: 2. A cylindrical tank of radius 20 feet is being filled with water at the rate of 600 cubic feet per…

A: Given that,  Radius of cylindrical tank= 20 feet Water is filled at a rate of 600 cubic feet per…

Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

A:

Q: A ladder 6-m long leans against a vertical wall with the lower end on a level floor. The upper end…

A: Given , Length of ladder is 6m Let height of ladder on wall is x m, and base length of ladder from…

Q: What's More Solve the following problems on a separate sheet of paper showing the 8 steps. 1. A…

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Q: x² dx x²-3x+2

A:

Q: 8 For the function y = f(x) = 7+2²' a. Find the slope of the line tangent to its inverse function at…

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Q: 1 1 √√x+2 dx. 貼 Evaluate O A. 39 O B. 38.0894 O C. 15.6291 O D. 6.5798

A: Since you have asked multiple questions so we will solve first question for you.

Q: 2.Evaluate the total derivative of u with respect to x for u = 4x4+3y² + 3z² when y = sinx and z =…

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Q: If the area of a circle decreases constantly by half a square foot per second, at what rate is its…

A: Here, given that the area of the circle decreases constantly by half s square foot per second. That…

Q: 2x² +3 x(x - 1) dx

A: Do partial fraction then integrate

Q: ata Careek. The following expression represents the Riemann sum, sing over some interval [a, b], a…

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Q: 13. Algebraically determine the values of that satisfy the equation 2 cos²0+ cos 0-1=0, where 0…

A: First I have let x=costheta And then reduce the trigonometrical equation into algebraic equation and…

Q: (2x5-x3-1)dx x³ - 4x

A: