What is the range of the inverse sine function y= sin- (x)? (-골, 글) A 2 2 B ( 0, π) 2'2 D [0, 1]

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A: LetI=∫ 6e3x-8e-2xdxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 6e3xdx-∫ 8e-2xdxTake constant…

Q: Find the derivative. 8) y =V4x +2 dy dxN4x + 2 =N4x + 2 A) dy В) dx 4 1 N4x + 2 dy C) dx dy D) dx 8…

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Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. sin 0 = 5…

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Q: COs x sin z Determine ôy/dz -sinx/sinz sinx/sinz -sinz/sinx sinz/sinx None of the choices నా

A: Determining the partial derivative

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Q: 1-2 For each of the following functions given by power series, find f'(x) and / f(x) dx. Do not find…

A: To differentiate and integrate the given power series.

Q: lim - Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: 1 lim X→0+ ех-1, 1 lim x cos…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L -1| х-5 (х-7)…

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Q: The value of the triple integral /I| 2x dV where E is the region E inside both x2 + y + z? = 36 and…

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Q: find all numbers c that satisfy the conclusion of mean value theorem for the function f(x) = 2x^2+1…

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Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: This question can be solved using the concept of area under curves.

Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

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Q: PROBLEM 7: Find all eigenvalues and eigenvectors of A. [2 -4 4 A 3 -3 7.

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Q: (24) Evaluate the integral: | Væ sin(1+ r/²)dx.

A: Solution:   As per our guidelines we are supposed to answer only? One question ( if there are…

Q: Evaluate: de (1-a)

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Q: A right triangle has side lengths a, b, and c as shown below. Use these lengths to find tan x, cos…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a

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Q: [[ 6r"e="vdA; R = {(r, y) : 0 < r s 2, 0 s y s 2}.

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Q: y+4 =-V2x

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Q: #Caleulate le' ter which es natural s oll exponentibel fuenebin/ sdou steps

A: We know that,  ∫eax dx =eaxa+C

Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: 8. Find the inverse function of: f(x) =- 64

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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: V1-x² 1–x2 dy dx -1 . J-V1-x²

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Q: Converting 49T radians to degrees will correspond to which value? (A -1746° -1674° -1764° -1476°

A: topic - radian to degree conversion

Q: z – 1 ive of f(z) = Leave your ans %3D z +1

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Q: Given the triangle 14 find the length of side a using the Law of Sines. Round your final answer 39°…

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Q: Find the first term and the common difference for the arithmetic sequence. Round approximations to…

A: Use formula of arithmetic progression

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: (zx" xy') dx:-3xy dy

A: Given that a differential equations and we solve this problem by using general property of…

Q: I". A.use tue Fundumenta Theole to evaluate XP (I-xh? S gruph of 1- B. The P.cture below shows a…

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Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Work=Distance*density*volume   Distance=9-ydensity=ρvolume=πx2×dyas it is cylinder , x = r…

Q: If 53 + 3f(x) + 2x²(f(x))³ = 0 and f(5) = –1, find f'(5). | f'(5) =

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Q: Use the specified substitution to find or evaluate the Integral. (Use C for the constant of…

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Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a 8 Prove that…

A: use the definition of limit to simplify it

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that…

A: given : f(x) = 8/(x-7)(x-1)

Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.   Please put a…

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Q: z(u, v) and u = u(x, y, w), v = v(x, y, w), x = r(t), y = y(t), and w = w(t). The Let z = dz as…

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Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

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Q: (26) Let f(x) = x?e=*. For what value(s) of r does f(x) have a horizontal tangent?

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

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Q: Learning Task 1. Do this indicated task individually. 1. Find the equation of the tangent line to…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

A: Position , s(t), velocity, v(t) and acceleration functions, a(t) for t≥0 are:  s(t)=t3-6t2+9t ,…

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?…

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

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Q: (29) Evaluate the integral: r/3 csc? xdx. (30) Find the derivative of the integral function: g(x)…

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Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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