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Q: The count in a bacteria culture was 600 after 20 minutes and 1500 after 35 minutes. Assuming the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A. Find the area of the plane region bounded by the given curves 1. у%3Dх, у %3D 2х, and x + у %3D 6

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Q: Supply the missing integrand and the limits of integration (dx dy _dy ху y e'dy -1 ® /' (e -1)dy -1…

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Q: 4-2y -2 dx dzdy

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Q: Given the vectors v and ü, answ v= 10i + 2j - 11k u=7i+24j a. Find the dot product of v and u. Find…

A: calculation of above requirement are as follows

Q: x (t) = 4 sin t ly (t) = 4 cos t %3D

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Q: x3 dxp (x²+4)7

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Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

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Q: rcos(z) d Find the derivative: dx V1 – t2dt

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Q: Supply the missing integrand and the limits of integration dx dy -L- _dy ху A I (e-1)dy -1 y e'dy dy…

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Q: Supply the missing integrand and the limits of integration ... CT/2 c2sin e r cos²0 dr de de •x/2…

A: Question- Supply the missing integrand and limit of integration.

Q: (c) y"e* + ye* =x

A: option C is correct answer . explanation in next step   . please give a like

Q: noitel arctan 2x 37. lim x→0+ In x

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Q: The position of a particle in meters at time, t, seconds is given by s(t) = cos2(3t). Find the…

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Q: 15. The graph of f(x) is shown below. Use it to evaluate S(x)dx Area7 Area4

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Q: Q4) Solve the boundary value problem y - 3y + 2y = 0 with y'(1) = 1, y(3) = 2e* - e? h = 0.5 %3D

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Q: 1. Find the area bounded by: y=x³+1 and y=x+1.

A: topic - Area bounded by curves

Q: Completely factor the polynomial f(x) = x +7x? + 10x.

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Q: 05. lim, (e* - 1)cos x

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Q: Find f/(x). If f(x) = tan-1x? .2 %3!

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Q: Given that sin a = and cos b = -, and a and b are in the interval , ), find sin (a + b) and cos (a -…

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Q: 3) lim X -3x2 + 8x – 2 6x2 + 5 A) - B) 0 D) =

A: This question can be solved using the concept of indeterminate form and L Hospital's Rule.

Q: 11. y = x + x

A: Given

Q: rcos(z) d (32) Find the derivative: dx V1- t?dt 1

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Q: What is n? Input Output -1 64 81 100 121 4 169 112

A: Simplification

Q: Suppose that f and g are differentiable functions such that f (0) =2. f'(0) =-5. g (0) =- 3. and…

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Q: by the ea vation 2xy +X=Y". XP |3D

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Q: [| 2ry dA; R = {(r, y) : 1 + y? < 9,y 2 0}

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Q: 11.. Compute the area of the shaded region in the graph below. The region is the area of overlap…

A: Given two curves; r(theta)  = cos(3theta) and r(theta) = sin(3theta).

Q: If e is an angle in standard position, csc(0)<0 and cot(0)<0, then the terminal side of 6 lies in…

A: Option (A)  4th Quadrant

Q: g'(θ) at θ = π/3 if g(θ) = θsinθ

A: Given: g(θ) = θsinθ      , θ= π3

Q: Question 3. Find f/(x). If f(x) = tan-1x?

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Q: 8. Find the inverse function of: f(x) =-6 x3 %3D

A: The given function is: f(x)=x38-64 Let, y=f(x)

Q: The graph of y= sin(x) shifts T units to the left and units upward. Which of the following functions…

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Q: 1+エ da. -dx. Evaluate the integral:

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Q: 9. dr (2-r)Vr2-4x +3

A: ∫6(2-x)(x2-4x+3)dxApply linearity=-6∫1(x-2)(x2-4x+3)dxSubstitute…

Q: ind the maximum product of two positive numbers given that the sum of the umber and twice the second…

A: Please refer to the image below

Q: A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine the…

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL

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Q: Find the volume of solid generated by revolving te area enclosed by : x=y²+1, x=0,y=0 and y=2 about:

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Q: rcos(x) V1- t2dt d (32) Find the derivative: dx 1

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Q: A particle moves along a straight line with its position given by s(t) = -5t2 + 7t + 2. Find its…

A: In this question, we want to find the average velocity between t=1 and t=3.

Q: Solve y' = y3 cos x (Show clear work!)

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Q: A city had a population of 2,238 at the begining of 1965 and has been growing at 9.6% per year since…

A: TOPIC- EXPONENTIAL FUNCTION

Q: dz Determine whether the integral converge (and evaluate to what it converged) or diverge: Jo 5-z A.…

A: The given integral is: I=∫05dx5-x If its value is finite then it converges to that value otherwise…

Q: Find the Rlemann sum for f(x) = x +3x over the Interval [0, 8] (see figure), where %3D X, = 0, x, =…

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Q: Cors ider the function. tx) - x-2 (a) Find the Imverse function of. (b) Graph f and on the same set…

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Q: 1 3c+6+2 J +3z+2 Evaluate:

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Q: Find the limit (If it exists). (If an answer does not exist, enter DNE. Round your answer to four…

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

Q: e* (1-e*) lim,0 (1+x) In(1–x

A: Given problem:-