ered # tion Bi Q) choose one only 1. If (x + y)² = x² + y² prove that = - dx 2. If y = sin³ () cos³ () X prove that y'=sin²(x) cos(x) BI 13 PR This PC

Q: #6 Suppose the position of a projectile is expressed by the vector-valued function Describe how you…

A: As per Bartley guidelines we are supposed to answer only three subparts of one question per post.…

Q: Use double integration to find the volume of the solid on the first octant enclosed by the curves x²…

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Q: Find an equation of the tangent line to the given curve at the specified point. x² - 1 y = (1, 0) "…

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Q: I. 2.) Simplify. Write "undefined" for expressions that are undefined. 2 5 3 2 41610 + -6 -6 2 2

A: Given:26-64.53-62+1220We need to simplify.

Q: The series O True O False (-1)^ n Σn=1 is conditionally convergent.

A: Given a series ∑n=1∞an .  If ∑n=1∞an converges, but the corresponding series ∑n=1∞an  does not…

Q: 5) A Cramer's Rule question: Suppose tickets to a football game are priced according to whether the…

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Q: Use DeMoivre's theorem to compute (1+i)¹²

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Q: Given f(x,y) = 6x^2 - 2x^3 + 3y^2 + 6xy. Determine any local maxima, local minima, and saddle…

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Q: 1. dx (x - 2)3 EXOX

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Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: Find the critical points of f(x) = x - x7 and apply the Second Derivative Test (if possible) to…

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Q: Graph two full periods of the function f(x)=cos(4x) and state the amplitude and period.

A: Given problem:- Graph two full periods of the function f(x)=cos(4x) and state the amplitude and…

Q: 2. If g(x)=√√3-x and f(x) = x³ +1 evaluate the following: gof(-1) b. (g-f)(2)

A: Given, g(x)=3-xf(x)=x3+1

Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x = -2} •…

A: The function satisfies the…

Q: consider the function y=−3sin(4x−π/2)+1  a) What is the amplitude? b) What is the period?  c)…

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

Q: Find the volume of the solid obtained by rotating about the axis the regi and bounded by y=2x²) Y=o…

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Q: 1. Find the Inverse Laplace Transforms of the following. 4 1) -1 S-3

A: The general formula we have that  Laplace transform of eat u(t) is 1/(s-a)

Q: Properties Of The Dot Product (- 2-.. pesta ) n. v = 0 = i = 0 or D = 0or ii 1 v تريلية

A: We have to prove the given property.

Q: Find the area of the region bounded by the parabola y² = 2x − 2 and the line y = x − 5. 16 17 18 19…

A: y² = 2x -2  y = x -5  Here we have to find intersection point  x = (y² +2)/2  x = y+5  Compare both…

Q: क्ने Find the curl of F(x, y, 2) = (2x,3y, 52). depends on the point (x, y, z) ● 10 O

A: Let's find curl.

Q: C) (*) Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

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Q: no working required just final ans

A: To solve the following problem

Q: 1. Evaluate 2. Evaluate sin(20) 30 x-2x cos x sin x limo lim, 0

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Q: Consider the position function s(t)= - 16t+96t representing the position of an object moving…

A: Given problem:- Consider the position function s(t) = - 16t2 + 96t representing the position of an…

Q: A driver drove 50 miles in 50 minutes. How many miles per hour was he driving?

A: We have to find how miles cover in 1 hour .

Q: r(x) = 5 log4 (3x + 10)

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Q: The surface parametrized by 7(u, v) = (u, v, u - 2v) is a plane O a hyperboloid a cone a cylinder

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Q: ||. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 3 4 D = 6 -3 2 3 8 9 3 2 ㅋ

A: Let's find cofactor of 6 in matrix D.

Q: Find the general solution of the following DE. xy² (y')² + y(x - 1)y' - x³ = 0

A: The given differential equation,    xy2y'2+yx4-1y'-x3=0

Q: 16y¹ fit+22 (x,y) → (0,0) (b) lim (0'0) ← (¹x)

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Q: solve by the method of undetermined coefficients. b.) y''+4y=5sin(4x)

A: We need to find D.E.

Q: VII. - ) Let C be the curve consisting of the line segment from (0,0) to (2,0), the the portion of…

A: Given that a curve consisting a line segment from (0,0) to (2,0) and a portion of circle from (2,0)…

Q: Je(ye-1) dr+e dy, where C' is the semicircle through (0, -10), (10,0), and (0, 10). (Compare Problem…

A: Using green theorem, value is evaluated.

Q: 7) Suppose the population of Detroit was 1.5 million in 1990 and 1.0 million in 2002. If the city is…

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Q: Evaluate the following integral: a.) SIS z ln y tan z dV if S = {(x, y, z) = R³ : − 1 ≤ x ≤ 0, e ≤ y…

A: S is a rectangular cuboid, hence limit of each individual are independent so the integral are…

Q: 2. A cyclist applies a force F with magnitude F = 50N in the same direction as the vector b = 4 j.…

A: We have to find the vectors.

Q: Find f(t). f(t) = = - 3s 1 - s²(s + 1)³

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Q: Which of the following are parametric equations for the entire unit circle? Choose all that apply.…

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Q: Let F be the vector field defined on the plane by F(x, y) = (x¹+3y, 6x - siny). Let C be the unit…

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Q: 6.) I. Simplify. Write "undefined" for expressions that are undefined. -3 -6 -2 +69 4 -4 6

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Q: Convert the Cartesian coordinate (-2,-4) to polar coordinates, 0 ≤ 0 0 Enter exact value. 0 =

A: NOTE: Refresh your page if you can't see any equations. . the given point is

Q: 7. Find the general solution to the differential equation 2²y+2y=2¹/¹/2

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Q: Determine the constants c and d in the equation of the curve y = at (0, -1) and an inflection point…

A: This question can be solved using the concept of functions and derivatives.

Q: 25- A) Use series to express the function f(x) = coshx.

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Q: of the points where the parametric equation y = 2 cost 0≤t≤ 2π will have vertical tangent. Determine…

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Q: Find the 1) Sketch the ii) Determine the ::::.) Set-up iv.) Integrate 2 ²) y = x ²²₁₂ y = 2 = x₁…

A: Given problem:- Find the area bounded by curves y=x2 , y=2-x, x≥ 0

Q: For the rose r = 4 sin(20) and circle r = 2 shown in the figure. Find the area inside the rose and…

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Q: 1. Be the data set according to the following table of values: On a coordinate plane, plot the data…

A: topic- exponential function

Q: The area bounded by the parabola x²- 2x+y=3, the y axis and the line y=4 revolves about line y=4.…

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Q: The survival of ancient manuscripts can be modeled by the logistic equation. The number of copies of…

A: The survival of ancient manuscripts can be modeled by the logistic equation. The number of copies of…