If a, b, c, and d are constants such that .2 ax + sin bx + sin cx + sin dx lim 8 %3D 3x2 + 5x + 7x° 4

Q: Find ди ds if w = sin(xyz), x = 1 - 3t, y=e¹-t, and z = 4t, find o

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Q: 1. AB and AC are tangent to OP. Find AB. 4 3y +4 B 1ly

A: here we will find AB,

Q: If z= asen(xy)cos(xy), with a > 0, then the result of simplifying the expression: az əz *əx ây…

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Q: 1.Suppose that (ax+b)cos x dx=6.Then the values of a equals a) c) 4 -4 b) з d) -3

A: The solution of the problem is given in the next step.

Q: Given that the characteristic equation has the following roots , what is the complementary solution?…

A: Given are the roots of a characteristic equation    1±3i,1±3i⏟,  2,2,2,2,4⏟       Repeated…

Q: If y=C,cos2x +C,sin2x+2sinx is the general solution of a certain nonhomogegeous LDE, which of the…

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Q: 10. y = C, cos 4x + C2 sin 4x + C3xcos 4x + C4xsin x + C5; C, to C5 are arbitrary constants

A: Since their are 5 arbitrary constants so the differential Equations will be of order 5. We find the…

Q: az and dy az Ql:- Find the if Z = x* sin x y.

A: As per our company guidelines we are supposed to answer only one question.Kindly repost other…

Q: The values of C, and C2 so that y(x) = C, sin x + C2 cos x satisfies the following conditions: y(0)…

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Q: Ex(30) and fYx show that of - Ix Exlz0)& Lekf:Xy be fIxYbe be it is

A: Introduction: The function f(g(x)) or (f ∘g) represents the combination of functions f(x) and g(x),…

Q: Evalate (ay) cos ( w) Evauate Cos ( x3) D

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Q: Which of the following is linearly independent? (a) 2sin?x & 1– sin?x (b) 4e2* & e-2x (c) 3sec?x –…

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Q: If R = {(x, y) : 0 ≤ x ≤ 1,0 ≤ y ≤ 1}, then find (²+1) +2 0 1 arctan O 2√2 3 0 √2 3 O √2 3 (√³/₂2)…

A: Please see the below picture for detailed solution.

Q: A GIVEN: AB 1 BC, DC 1 BC, DE 1 AC. PROVE: X1 = X2. C DI

A: Given that:…

Q: Determine the solutions of the following diffe- rential eguations. X-y リー× Ae dx + e dy %3D

A: Given:- ex-y dx + ey-x dy =0 To find:- General solution of given differential equation

Q: If g(x, y) = exy + sin(ax – y), with a E R. The result of 8x – ag, is thefollowing: A) 2a cos(ax –…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x…

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Q: where D C 0 find amatrix 2 Irand d I is identity 3 -1 1

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Q: If D=d and Y= Cost The Cos X =

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Q: The values of C, and C2 so that y(x) = C, sin x + C, cos x satisfies the following conditions: y(0)…

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Q: Find (t), given 7(t) = (– 5t* – 1, 4 sin(2t), 4e*). = (?),

A: Given,

Q: 6. y = C, cos x + C2 sin x + C3 cos 3x + C4 sin 4x ; C1, C2, C3 and C4 are arbitrary constants

A: The given equation is, y=C1 cos x+C2 sin x+ C3cos 3x+C4sin 4x Differentiate this equation up to the…

Q: Given that the characteristic equation has the following roots, what is the complementary solution?…

A: We will find out the required complementary function.

Q: c) If f(x, y)= e" cos 2x, then show that = 0.

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Q: If y=C,cos2x + C ,sin2x + 2sinx is the general solution of a certain nonhomogegeous LDE, which of…

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Q: If y = tanh"( k /x) and vx (1 - 9x) y'=A Then A =... Answer:

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Q: If so be solvet using atgebrate 3/2 /2 Substitufion, give the substitution for X and dx.

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Q: If Z + i sin) then Z²-Z+1=.. = cos 2 b 2- -2

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Q: If z = x2 + y? x = e' cos(s) and et sin(s y = ), then

A: ∂z∂s=∂z∂x∂x∂s+∂z∂y∂y∂s Lets find out each derivative z=x2+y2∂z∂x =2xx=etcos(s) ∂x∂s=et…

Q: az If z? = y sin(xy), find ду at the point (-1, ", 1) a) - 0.5 b) +1 c) - 2 d) -- 1 f) 1 e) 0 g)…

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Q: If f(x) = cos (-x) + 3x + 2, xE [0,1], then f"(5) = %3D A) cos + 17. B) cos()+17" (Sm C) 0. D) 2. E)…

A: Solution of question as follows

Q: If u(x, y) = e-2* sin(2y) and f(x) = %3D Select one: O a. -2e-2* cos(2y) O b. -e-2x cos(2y) • c.…

A: There are some possibilities in the answers. If we want to find first derivative with respect to y,…

Q: If Z = sE) +i sin) . then Z-Z+1=.. = cos -2 2 -2i

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Q: 1 de, where a, b, and d are real and a² + b² < d² a cos e + bsin 0+d

A: The given integral is: ∫02π1acosθ+bsinθ+ddθ Also given that: a2+b2&lt;d2.

Q: A. Find y' if 1. y = x² cos² 3x

A: y=x2cos23xApply product rule to differentiate the given function y with respect to…

Q: Given that (-) x sin-1 -1 = COS eya. dy in the terms of x and y. dx Find

A: Given: xsin−1⁡1y=cos−1⁡eyx Since, dsin-1xdx=11-x2 and dcos-1xdx=-11-x2

Q: The values of C, and C, so that y(x) = C, sin (2x) + C2 cos (2x) satisfies the following conditions:…

A: Solution:

Q: A GIVEN: AB I BD, ED I BD. PROVE: XA = XE. C

A: We will use these three concept here  1- perpendicular makes an angle of 90° 2- vertical angle are…

Q: az az and ду Ql:- Find the if Z = x4 sin x y³. Əx

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Q: If P = 2 sin(10t + x − π/4)ay and Qs = ejx (ax − az)sin πy, determine the phasor form of P and the…

A: Given- If P = 2sin10t + x - π4ay and Qs = ejxax - azsinπy To find- Determine the phasor form of P…

Q: If y = (x – a)/2ax – x² + a² sin¬'(÷ prove that y' = 2/2ax – x² a is constant.

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Q: Exe: dy 2x-el shly) ex. 65ly)+|

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Q: If So I; (x² + y²)sin(x)dædy = fo ,2 Sa(x² + y² ) sin(x) dydx then a, b are

A: if  ∫01∫y1x2+y2sinx dx dy =∫01∫abx2+y2sinx dy dx then find the value of a ,b

Q: If So S, (x² + y² ) sin(x)dxdy= f L (2²² + y?) sin(x) dydæ a , then a, b are

A: Solution is below.

Q: (a) Let m and n be positive integers. Show that T if m = n, sin mæ sin næ dx 0 if m + n.

A: We know  Sin^2x= (1-cos2x)/2

Q: S(1,9) =2Inc* + y° )• 3y° tan"), then prove that B.(i) If дхду дудх

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Q: If f(x, y) = e“ sin(4y) then: 4 sin (4) 4 cos( 4) V f( – 1, 1) . el el

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Q: If r(t) = (VE – 1, ln(10 – t), sin(2t)) then the domain of r is

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Q: DISCUSS TThe Conlinuilyf メ<。 Losx Xラィ Sin

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Q: Show that, for any constants k' and 'a', u = sin(kx) sin(akt) is a solution of the equation Ut =…

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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.