Find the area of the region bounded by the curves y = 1 (x+6)²¹ į, y = = 4 and the x-axis using vertical strip.

Q: Question 8 Determinethe equation of the tangent line to the curve, y = 3x4-2x-1 4-x² , at x=1.

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Q: d dx [x² tanx]

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Q: 5x 2 Evaluate: f²f3³xdz dy dx 0 2

A: Here is the solution:

Q: 5- A. 3. C. +X+ P 上一站 -- V -4x 一 --年 -c + c -c

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first…

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Q: 1. Use local linear approximation to estimate In (0.99). 2. Find the absolute extremum values of…

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Q: Sy² sin Sy dy 1 A) ----² cos Sv + y sin y sin Sy + 1 256 32- 1 1 B) ² cos By-y sin Sy-256 9-11-² sin…

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Q: [x xf (x²) dx Which integral is equivalent to the one shown: Oa) f f(u) du √uf (u) O b) S 2 O c) […

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Q: For the following system: a) Determine how, if at all, the planes intersect. b) If they do,…

A: Given

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Q: 1. a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q7. a) Find the equation of the plane passes through the point P(1,2,-1), perpendicular to…

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Q: The chain rule of antiderivative is stated as: ff (g' (x)) g(x) dx = F (g(x)) + C True O False

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Q: (1 + y²)dx + (x²y + y + 2xy)dy = 0 Ox+2y² (1+x)² = c O 2x+y2(1+y)2= O 2x+y?(1+x)2=c y² x)² Ox+y²…

A: Solving by seperation of variables

Q: y = 1 1+ u 1 1-x

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Q: What will be the orientation of the curve of the graph of the function f(x) = 3 on (-3,0)? z² z+3 O…

A: Given the function  f(x) = x2x+3 on -3, 0.

Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: Using the Mean Value Theorem, given f(x) = x³, what is/are the value of c, where 0 < c < 2 such that…

A: Topic = Functions

Q: For several weeks, MMDA has been recording the speed of freeway traffic in EDSA. The data suggest…

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Q: F/3 I ㅠ sec³ x tan x √2 + sec x dx

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Given that      Region R : 0≤x≤1 , 0≤y≤1-x2 , 0≤z≤4-x2+y2    Now, we take…

Q: Find the area of the region bounded by 2x = and the y-axis using the horizontal strip. 4 y²+1

A: We have to find the area using horizontal strip.

Q: V. A small business determined that the price-demand and cost functions for producing and selling x…

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Q: The function f(x), which is defined for a ≤ x ≤ b, has the following behavior: f'(x) 0. Choose the…

A: Follow the procedure given below.

Q: A. Find the area bounded by the curves, the axis and the given values of x. Sketch the graph. 1. y…

A: We are asked to find the area of the region bounded by the curve

Q: Flag question Evaluate: ³²₁ [2³(x + y)³] dz dy dx

A: Let's evaluate given triple integral.

Q: Do as indicated. a. Find the equation the tangent line and normal line to the graph of f(x) = x³ at…

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Q: Find the value of the following definite integrals. Show your solution. 1. f(x¹+4) dx 2. (cos x +…

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Q: (x + tan y) dy = sin 2y dx

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Q: Ex. Find the general solution to dy 1 -2.x dx X -

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Q: Evaluate the integral: S/2 sin(4t - u) du dt

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Q: I. Evaluate the following limits x-tanx 1. lim x-sinx x-0 9

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Whatis the equation of the line that passes through (-3,5) and is parallel to theline 4x - 2y + 2 =…

A: The line passing through -3,5 and parallel to the line 4x-2y+2=0

Q: solve the equation! - A (a) Y'(t) = -Y(t) + sin(t) + cos(t), Y(0) = 1; Y(t) = sin(t) + ce-t. b)…

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

Q: 2. 0 sec³ x tan x √2+ sec x dx

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Q: Find the area of the region bounded by the curves 1 y = , y = 4 and the x-axis using vertical strip.…

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Q: Find ди ds if w = sin(xyz), x = 1 - 3t, y=e¹-t, and z = 4t, find o

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Q: 4. The position of a particle moving along a horizontal path is given by s(t) = t³ - 4t² - 3t+8,…

A: This is a problem related to differentiation of the function. Based on the general formula and…

Q: Find the average value of f(x) = -3√x+ 5x over the interval [0, 3]. Submit an exact answer using…

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Q: 2 cos xsinx V2+cosx 1. S- -dx

A: Given

Q: 4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling…

A: As per bartleby guidelines we only give first three subpart question answers. Let's solve given  bat…

Q: Given the following graph of f(x) , use your understanding of derivatives to sketch a graph of f'(x)

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Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: v (2uv²-3) du + (3u²v² − 3 + 4v)dv = 0 Ov(u²v² +3u + 2v) = c Ov(u²v² - 3u- 2v) = c Ov(u²v² - 3u+ 2v)…

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Q: What is the slope of the tangent line to the curve y = T I 7 O-2 02 0 - 17/12 01/1/01 O none of the…

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Q: The function g is continuous on the closed interval [1, 4] with g(1) = 5 and g(4) = 8. Of the…

A: This question can be solved using the concept of Mean Value Theorem.

Q: Find the area bounded by y = sin √x and y = 0 on the interval [0, π^2].

A: The curves are y=sinx, y=0 on the interval 0, π2

Q: 2. S 2x 2 5+2x+x -dx

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