-3 2. Evaluate: V12-피 + z dar 0,

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: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Force applied F=20N Natural length=2m COmpression Length=0.5 m Total compression =∆x=l0-l…

Q: dy 3. If y=u 3 and u = 4x2 - 2x + 5, give dx dy 4. If y=u? and u = x3 + 4 determine dx

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Q: The general solution of (D²+2D+1)(D²+4)y=0 @ -+Ceª A y=(C,+Cx)e*+C;e B none of the given choices ©…

A: We have to find out the solutions

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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…

A: Given a function f(x) = 8/(x-7) (x-1)

Q: The point P(48, –14) is on the terminal side of angle e in standard position. What is the value of…

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Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A:

Q: Find the flux of F(x, y, z) = 4а, 32 + 2?, across the positively oriented surface 2 S given by R(u,…

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Q: 5. Find the radius of convergence and the interval of convergence for E- (x – 2)" n%3D1

A: To find the interval and radius of convergence.

Q: A right triangle has side lengths 3, 4, and 5 as shown below. Use these lengths to find tan M, cos…

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Q: 10. Simplify as much as possible: log (

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Q: 2

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Q: Find the horizontal asymptote of the given function. 4x? +9 f(x) = 4x -9 2 O A. y= - 9 O B. None O…

A: To find the horizontal asymptote of the given function.

Q: 5. Which graph below represents the function f(x) = (x - 2)(x +1)(x + 2)? Explain your answer. Graph…

A: Given function, f(x) = (x-2) (x+1) (x+2) To be found - Graph of function

Q: uppose that w = f(x, y, z), where z = r(u, v), y = y(u, v), and z = z(u, v). 'hich of the following…

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Q: 1. Raul has a wall 4 units long and 2 units wide in the Cartesian plane centered on the origin. On…

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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: (a)5°C =? to Fahrenheit ​(b) 33°F=?to Celsius

A: Given linear equation y=5/9​(x−​32) Here x is in degrees and y is in Farhanheit

Q: Change the following rec 15. x = 6y + 8 %3D

A: The given equation is x+6y=8.

Q: Convert to a rectangular coon 12. (3,*)

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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: The function s(t) describes the motion of a partide along a line. s(t) = t- 14t + 21 (a) Find the…

A: (a)  vt=dsdt      =dt2-14t+21dt v(t)=2t-14 (b) Positive direction denotes, v(t)>0 ⇒2t-14>0…

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

A: Simplification

Q: Find length of the curve described by the parametric equations a = 3t2, y = 2t, 0<t< V3. A. 3/3-1 B.…

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: Evaluate the following integral: 10x dx O 2

A: Integration

Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: lim X→1 X-1 In x)

A: The given limit,      limx→1xx-1-xln x

Q: Find the radius of convergenee and interval of convergence for the following. (x – 2)" 2 2" (2n)!…

A: The given series,       ∑n=1∞x-2n2n2n!

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

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

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Q: Suppose that f(x, y) 2æ + 4y on the domain D = {(x, y) |1< x < 2, x² < y < 4}. D Then the double…

A: Given problem:-

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: ーX dx. 6. 1.

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Q: 3. X Cos X dx COS

A: On solving this we will get

Q: lim, -r(csc Tx )(Inx)] -TC

A: The given limit,limx→1-πcscπxln x

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: Find the curl of the vector field F < ya?, xz°, zyš curl F = k || + +

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Q: ... Supply the missing integrand and the limits of integration -2 csinx dy dx _dx| %3D V1- y? 2 (x-…

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Q: (x-1)" Find the radius and interval of convergence:

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Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange…

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Q: (22) Find the derivative of f(2)

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Q: Consider the following function. f(x) = (11 - x)(x + 1)2 (a) Find the critical numbers of f. (Enter…

A: Here we have to find the realtive extremum.

Q: 39.54 divided by 3

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Q: 1 m ... 2 m 4 m The flat surface shown is submerged vertically in water. Find the fluid force…

A: Use formula of fluid force

Q: Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the…

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Q: Find the function value. If the result is irrational, round your Let f(x) = . Find f(2). 3 O A. 5 9…

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Q: Use the series to evaluate the limit 1 tan- y – siny lim y→0 y3cosy

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Q: Solve and graph the inequality. Give answer in interval notation. -3< - 3x59 O A. (-1,3] O B. [-3,1]…

A: The correct answer for above question is