that Find flz)= r°cos20 + ir?sin po Such %3D is analytic-

Q: Show that the graph of the equation r = 2a sin θ, a > 0, is acircle of radius a with center at…

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Q: For long cirular cfinder of Re two halves maintained at temprature U1 and Vi respectively, Show that…

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Q: Plot along with its tangent r = -6ecos0 + 8 cos 40 in %3D 4

A: We knowx = rcosθy = rsinθGiven: r = -6ecosθ+8cos4θ                     Where θ∈0,2π     Hence, x =…

Q: The arc length of y=In(cos x), 0<x<• is 3 ○A In (√2-1) A. ○ B. In (1+√3) C. In (2+√√3) D. In…

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Q: Find all angles between 0 and 2r satisfying the condition V3 sin x = Separate your answers with…

A: Given: sinx=32

Q: Two waves travelling in the same directio are given by: y1 = 0.2 sin(2ttx-20t+0) and

A: Given,  two waves travilling in the direction are                     y1=0.2sin(2πx-20t+φ)…

Q: Find all angles between 0 and 2n satisfying the condition V2 COS T = Separate your answers with…

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Q: A beam whose centre of gravity divides it into two portions, a and b. is placed inside a smooth…

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Q: Given: In (sin² 3t) = e = arc cot (w) Find: dw dt O(1+w²) (6cot (36) e) [ Oet+w²et - 6tan (3t) - 6w²…

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Q: A cantilever beam of length L is embedded at its left end. Find the deflection of the beam when w(x)…

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Q: Find the cubic root of z = v27+ 3i in the form of r cis 0. (Hint: tan- = 6.

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Q: Evaluate the 2 intergrals attached as images with the question.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: The circles r = (3)^1/2 cos u and r = sin u intersect at the point (((3)^1/2)/2, pi/3) . Show that…

A: We have given circles equation r=3cosu and r=sinu For intersection point of these circles…

Q: Sketch the solid described by the given inequalities: 0&lt;=r&lt;=2, -pi/2&lt;=theta&lt;=pi/2,…

A: First draw the first two inequality 0&lt;= r &lt;=2 and –pi/2&lt;= theta &lt;= pi/2 in the…

Q: Given show =5 how dy %3D

A: differentiate y with respect to x .

Q: Given that 3x - tan y = 4, what is dy in terms of y? A 3sin y

A: I have provided solution in step2

Q: Find the length of are リ-Jx-2+ Sa'z) + Sin

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Q: let Po)- tar'c) + tant (L). show that Plx)=C,where cis a constant and then Aind C

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Q: as Let ĝ +sinh (z?) - ji = 27 where w=f (x,y,2)- %3D Find 2 nd JW and au

A: In the given question we have to find the partial derivatives of with respect to x ,y and z. here we…

Q: Express 1+ cos a + i sin a in the modulus amplitude form.

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Q: Find the length of the hypocycloid defined by the equations x = a cos° (0), y = a sin° (0), 0 < 0 <…

A: Here we have to find the length of the hypocycloid defined by the equation x=acos3(θ) , y=asin3(θ)

Q: has at least one solu Prove that the equation r+ sin(x) = VI +3 %3D (0, т).

A: Here we have to prove that,  x+sinx=1x+3⇒f(x)=1x+3-x-sinx has at least one solution in the interval…

Q: a²z a2z If z = arctan (2), find ду?

A: It is given that z=arctanyx z=tan-1yx

Q: Graph the limaçon. Cardioids r = -1 + sin u

A: Given- r=-1+sinu To Draw- The graph of the above equation of the limaçon.

Q: التاريخ اليوم موضوع الدرس A) Discuss the conrergence of facx) %3D on A = Co,0)

A: Convergence of the sequence

Q: Find the length of one arch of the cycloid 2(t – sin(t)), y = 2(1 – cos(t). х

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Q: 5Tt in standard position. 6. Sketch 0 %3D

A: Given: Angleθ=5π6, To sketch: The given angle in standard position.

Q: Find the area of the intersection of the circles r = 3 sin(0) and r = 3 cos(0).

A: Given the equation of curves r=3sinθr=3cosθ

Q: Given the cardioid r= 3(1+cosθ) 0 ≤ θ ≤ 2π Determine in wich points the cardiod has vertical…

A: Differentiate the equations r=31+cosθ and x=rcosθ with respect to θ, to find drdθ and dxdθ.…

Q: If the area inside both the cardioid r 6 + 6 sin 0 and the circle r = 6 is A + B-, then what is %3D…

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Q: Find the area inside the oval limaçon r = 6 + sin 0.

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Q: Find the conjugate harmonic of v(r,9) = r² cos 20-rcose+2. Show that vis harmonic.

A: Given vr,θ=r2cos2θ-rcosθ+2

Q: Classify the Stries as nbsolurehy linvergen ti Condibinally lonvergent, divergent 18 K Sin

A: First we  recall some definition-1)  p-test for convergence of series ∑k=1∞1(ak±b)p :     A series…

Q: Find the areas of the regions in Exercises : 1. Shared by the circlesr=2 cos 0 and r = 2 sin 0

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: The integral of the right hand member of the first order LDE A B C с D -2sin³0 3 COS 2 2sin³0 3 sin…

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Q: Under what conditions for the contants a,b, k,e =) is (aa+by) da + (ka + ly) dy = 0 exact? Solve the…

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Q: Find the are of the sector on the specified interval  r= sqrt*tan theta  0 less than equal to theta…

A: Find the area

Q: ..... The area of the surface generated by revolving the curve x = 1 cos (2t), y = 7+ -sin (2t) on…

A: Follow 2nd and 3rd step.

Q: Use an appropriate local linear approximation to estimate the value of cos(59°). cos(59°) ~

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Q: Consider the curve C parametrized by(x, y) = (5 cos (−12t), 5 sin(−12t)), for −π/2 ≤ t ≤ π/2 What is…

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Q: Given that cos 0 = v2, and the terminal arm i %3D nteasure of the angle in standard position?

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Q: 213 If cot 0+ tan = and sece - sece = y, Prove that (x'y)° (xy²)*° = %3D

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Q: A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth…

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Q: Find the area of the intersection of the circles r = 3 sin(0) andr = 3 cos(0).

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Q: Show that 8r units is the length, L, of one arch of the cycloid described parametrically by: x (0) =…

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Q: Use the Arc Length Theorem to calculate the length S of the given path over the given interval.…

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Q: Consider the given curve: R(f) = (2 cos f, 12f +3,-2 sin f) Reparametrize the curve using arclength…

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Q: The area of the rotational surface resulting from rotating the arc of the curve x=cos^3 t, y=sin^3 t…

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.