124 43. x² X x² - 4x² + 5x - 2 X

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A: Polar and cartesian coordinate system are related each other as follow x = rcosθy = rsinθ

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Q: 17. प x(x-1) 19. 1 x(x² +1²

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

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Q: 4) Let two vectors be a = (-3, 1,-4) and b = (0, -2, 3). a. Find the scalar and vector projections…

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Q: f(x) = 5 sin ¹2 on [-1, 1]

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Q: 1. Show directly from the definition that the following limits exist, and compute their values. (a)…

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Q: π Determine the slope of the tangent line, then find the equation of the tangent line at t = 6 x = 2…

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Q: Consider the series (-1)" (6x+5)" n=0 (a) Find the series' radius and interval of convergence. (b)…

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Q: Match each graph with its equation > > -4-3 -2 -7 3 -4-3-2-2 च ষ -4-3-2 -3 2 M -2 -4-3-2-1 4- 3 2 83…

A: Given :- (a) r=1+2sin(θ) Graph of this equation is:-

Q: Describe the given region in polar coordinates. ww. -10 AY 10- -10 10

A: The given graph is:

Q: Convert the Cartesian coordinate (2,-5) to polar coordinates, 0≤θ0 r= Enter exact value Theta=

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Q: 5. Evaluate [[ (x² + y²)³dzdy where is the region enclosed by the cardioid r = 1 + cos(0)

A: given,  ∬(x2+y2)2dxdy  =∫02π∫01+cosθ(r2)2.rdrdθ=∫02π∫01+cosθr5.drdθ =∫02πr6601+cosθdθ…

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Q: 1. Find feit dt.

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Q: Use the graph to evaluate the limit. im 10x)

A: limx→a-f(x)=limx→a+f(x)=limx→af(x)

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Q: Find the area of the region inside: r = 9 sin but outside: r = 2

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A: Given: The cost C(x), where x is the number of miles driven, of renting a car for a day is $53 plus…

Q: suppose u = f(x,y) and v = g(x,y) with xy+2xu+3xv+uv-1=0 and 2xy+3yu-2xv+2uv+2=0 find jacobian…

A: The given system of equations is: u=f(x,y).    and     v=g(x,y)  with xy+2xu+3xv+vu−1=0…

Q: Change the Cartesian integral Change the Cartesian integral into an equivalent polar integral. PA dr…

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Q: of each rational expression. 1 x (x² + 1) x² (x − 1)²(x + 1) x² 19. 23. 27. (x − 1)²(x + 1)² - +4

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Q: Find the integral of 12 sin x cos 5x dx if lower limit= 0 and upper limit = π/2. A. 0.2 B. 0.3 C.…

A: As per guidelines, Only one question can be answered out of multiple different questions. Please…

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Q: What is the integral of sinx cos x dx if the lower limit is zero and the upper limit is T/27 A.…

A: As per guideline, At a time only one question can be answered. Please repost for other questions.…

Q: (ir, cos³e day+ycosx тусова = Sinz

A: The given differential equation is: cos3x dydx+y cos x=sin x

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Q: *P₁² (1+h) = Rph (1+₁2) (1)

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Q: 4 '6 6x√x + 1 dx

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Q: Find the area of the region that lies above the x-axis, below the curve I = t²+2t +9, y=et with 0…

A: The given curve is:x(t)=t2+2t+9,    y(t)=e-t       with  0≤t≤1

Q: Consider the function f(x) = 3 - 3x²/³ on the interval [-1, 1]. Which of the three hypotheses of…

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Q: 10 -3e -3e* sin(t-s) ds

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Q: Find div F and curl F if F(x, y, z) = 14yºz5i – 7x³z¹ºj – 5xy¹k. div F= curl F=

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Q: The function f(x) = 3x + 7x¹ has one local minimum and one local maximum. This function has a local…

A: We have given a function fx=3x+7x-1, and we need to find the maximum and minimum values of the…

Q: Find the minimum and maximum of f(x, y, z)= y + 4z subject to two constraints, 5x + z = 2 and x² +…

A: To solve the following

Q: Consider the following graph of a polynomial: -6 -4 2- 1 0 -1- 2 X 4 Maple plot 6 Write the factored…

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