Show that la mn bm =Ø.

Q: Then show that Their G.M is equal to the A.M and H.M lie e=dAXH - CM of their

A: First we determine A.M, G.M and H.M of positive numbers a and b.

Q: (D² + 2D- 3)y = si %3D

A: Here we use auxlary equation to find complimentary  solution.

Q: If --kr, show that d? dr %3D dt

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Q: Sketch and evaluate the reverse in tegral 9/x dy dz

A: Consider the provided integral,

Q: use the disTance Formula to Find the distonce between (e)and(3,2)

A: We use the distance formula to answer the given question.

Q: ecimals is fin

A: Here we have to find the approximation of    With n=4 subintervals.

Q: Q3/ By using definition, proof that cot x = - csc? x. dx %3D

A: In this question we will use basic of calculus i.e concept of differentability. Solution of the…

Q: For itema (1) To (4) , the opinen nectos r: (1) ,1 de (2) | dř の at db

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Q: ue of the det e 16 is

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Q: A mus seum un T1 throughout its c represents an ac The model of th model of Earth. actual distance,

A: The scale used in the model: 1 mile = 400, 000, 000 miles  (1 mile in the model represents the…

Q: The work W (in N • m) in winding up a 60-m cable is W = (1600 – 7x)dx. Evaluate W.

A: The given integral is ∫0601600-7xdx

Q: are cot y dy y³

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Q: In ADEF, C is the centroid. E If DM = 39, find DC and CM DC = units CM = units

A: Centroid cuts the line segments through it in the ratio 2:1  Where Larger part is that from the…

Q: Sub: Date: Find Laplace Trans forner

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Q: of Use the definiion Çaplace to determine the fessz e

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Q: Find the ins. freed. in Hz for: 中(t)=l6 0ss [Tt (はに)] att:100sec.

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Q: by first- shifting find L(e-tt)= %3D

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Q: (e*) L (t) =Arccot eArc cot (t²). -

A: Given: L(t)=Arccotet2-eArccot(t2)

Q: dr Let A be the area of a circle with radius r. If dt dA when r = dt 5, find 1.

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Q: A technique is set at 40 mAs, 200 cm SID using 10:1 grid and produces 200 mR Find the new intensity…

A: The intensity is related by SID (Source to image Distance) Now,  I∝d-1I1I2=d2d12 Given that I1=200…

Q: The de Broglie wavelength (in nanometer) for an electron moving with 9.24 x 10" m/s is:

A: We will find out the required value.

Q: Calculate the arc length of MN in terms of n. 150 12 t

A: Arc length of some arc subtended from the center of the circle (of radius r) and having a measure of…

Q: Prove Ĵ Ha (as) th(x) e che = Hm (x) Hn(x) e^ dx = √x 2.11.8mm

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Q: In kite JKLM, JMN 25°, and ZLKN = 43°. J M K

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Q: Sheet No (1) 1- Evaluate (a) 1+4xy dxdy (ь) rsin'e dedr | dydx

A: Double integral is used to integrate the function of two variable over two-dimensional region.…

Q: Let FG)=LHH) where Find Fa)

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Q: Find k so that dx = ke" + C.

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Q: ds 4. Evaluate s = In cot 20 in tems of de

A: Topic:- Derivative

Q: With reference to this equation, distinguish between classification and regres- sion, and give an…

A: Given          y= f(x)  What is mean by prediction ? In prediction we predict value of variable by…

Q: Given LM tangent to OC at point L, which is an expression to represent mJK ? K a° M

A: We have the given figure as The inscribed angle theorem states that an angle θ inscribed in a…

Q: f(z) =e? is contiuous in C

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Q: Use this rule to differentiate xP. d P = (Type an exact answer.) dx

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Q: Evaluate SSS 12z dV E where E is enclosed by z = x? + y? and z = 1

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Q: The value of cos jn is equal to O a. sinh 7 O b. jcosh 7 Oc jsinh 7 O d. cosh 7

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Q: Show thet Pmle) Palx) dx = o for -1 Note: Legendre equotion ll-x) Pm Lx) -2x Pim lx) + mlmeD Pm…

A: Give :  Legendre Polynomials for m≠n To  find : ∫-11Pmx  Pnx dx =0

Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt 5, find

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Q: dr Let A be the area of a circle with radius r. If dt dA when r = dt 5, find = 4.

A: Given, drdt=5 and r=4

Q: b) sol v e in e Iknear di tteren tiaı hrst oroer equanon dy 2. り = n2 cosh cen), when り (1)

A: The given differential equation: dydx-2xy=x2 coshex ;          y(1)=0

Q: f(z) = e? is contiuous in C

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Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt = 3, find

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Q: Consider the figure. J 8. What is JL? 身

A: Two right angle triangle   ∆JKL  and  ∆KML KM = 6  And  JM = 8

Q: a²z If z = arctan ), find ( ay?

A: Given,           z=arctanyx= tan-1yxTo find           ∂2z∂x2+∂2z∂y2=?

Q: Find the Laplaće Trans forh 3) f()=1 cosh(at)

A: Given: ft=t coshat   As we know from the property of the Laplace transform. Ltnft=-1ndndsnLft   And…

Q: Determine how large the number a has to be so that dx

A: Given that: ∫a∞1x2+1dx<0.005

Q: Locate point E such that AE = DE = AB.

A: The Solution is given below-

Q: The volume of a cylinder with height h and base diameter dis given by V= Describe the relationship…

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Q: A circle, with area A = Tr2, is expanding with time. dr If = 6 cm 2/s, what is dt dA when r= 2? dt…

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