cos 2x If y = find y" when x = n: a) -1 b) o c) 1 d) v2

Q: Find əw/ar and aw/as when r = n and s = 0 if w = sin(2x – y), x = r + sin s, y = rs.

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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: 1. In the following diagram, PA is tangent to 00 at A. If mBC = 50' , m/BEC=60', mBD=x and mAC = 2x+…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: S (x, y) = sen (r² – 0²) + In(r® + 0), con Vr? + y? A r = = arctan

A: Given that, f(x, y)=sen2r2-θ2+lnrθ+θfor r=x2+y2and θ=arctanyx

Q: If x = e" tan v, y = e" sec v, then the value of y%3D X +y X- +y is

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Q: Tan Be Xe O de d Bo find

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Q: If f(x,y,z)=sin(xy)+x2lny, then fxy at (0,pi/2) is equal to 1 FO

A:

Q: B. Evaluate sin z z²+j2z dz, C the boundary of the square with vertices ±1, tj clockwise.

A:

Q: дz əs дz at || 11 z = e cos(8), r = st, 8 8 = √ S6 + 56

A: Solution is done in step 2,3

Q: If z = f(x, y), where x = r cos 0 and y = r sin 0, show that a²z 1 a°z 1 əz r дr дх? dy? дr?

A:

Q: If z= r +y, I= e' cos(s) and y= e' sin(s), then %3D 8z as at (t, s) = (1,0) is O-2e O 4e O 2e? 2e

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Q: In AXYZ with a right angle at Y, the cosine ratio can be used to find the length of XZ as O a) XY…

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Q: If y(u) J5 COs v9 dv then cos(9u eIu y'(u) = %3D e4

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Q: If z = cos (r + cos y), show that az Fz ar ərðy dy dr

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Q: find dy ny the Chaenin Rult yz tan u and UzJxz+5

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Q: dw when r= 3 and s = - ar 3 if w = (x+ y + z)“, x=r-s, y= cos (r + s), z= sin (r + s). Find

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Q: (y – x)dx + (2x – y)dy or the given path. C: x = 2 cos(8), y = sin(8), o se s 27

A: This is a problem of vector calculus.

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: If f(x, y) = cos (xy) – 7y, then fx(0, x) = 0. %3D Select one: True O False

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

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 y=sin(x), z=cos(x), v=exp(x), where ( -5 ≤ x ≤4) could you plot x,y, z, v as shown below:

A: Graph of y = sin(x): Graph of z = cos(x):

Q: If u = tan- the value of x2 +y? +xy du du at x = 1 and y = 3 is

A:

Q: Convert the ! √ √4-1² 2 0 following to rectangular 32 r³z² sino cos o dz dv do dz dx dy

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: if z sin とこ3r'+25 , Y=4イ-ス3 Z = 2r-35* W= Z Sin %3D * find aw,w ar me' me as

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Q: If y = sin(msinx) then show that (1– x)' y, – xy, + m² y =0.

A: Given: Given y=sinmsin-1x We want to show that 1-x2y2-xy1+m2y=0

Q: if y=sin(x), z=cos(x), v=y+x, where (-100 ≤x≤ 100) could you plot y, z, v

A: Given:- we are provided with three functions y,z and v where y=sin(x)z=cos(x)v=y+x=sin(x)+xNow, we…

Q: U is y= cosx. A

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Q: Given y = cos(3x), find O O 3 2- * N O √3 3√3 dy at x = 5

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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: a) Find dz, if z = e' sin e %3D b) Verify uxy = uyx , if u = In /x² + y² . %3D

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: az If z? = y sin(xy), find ду at the point (-1, .1) d) --1 %3D b) + c) - 2 а) - 0.5 e) 0 f) 1 g)…

A: We will find the partial derivative with respect to y and then evaluate at the given point.

Q: 3. In the diagram below, AB = BD = 5 and AD = 7. %3D %3D Is BD tangent to OC? Explain.

A: Given,      AB=BD=5 and AD =7 We need to explain is BD tangent to C?

Q: Find ∂w/∂r and ∂w/∂s when r = π and s = 0 if w = sin (2x - y), x = r + sin s, y = rs.

A: Given w = sin (2x - y), x = r + sin s, y = rs

Q: = Vu, dw y = e-2vu, z = vCosu, then ди If w = x. Tan-1(zy),x

A: First of all substitute the value of x that is u in the the equation of w that is w=x×tan-1zy and…

Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

A:

Q: 5. Evaluate (y +tan x)dx+(x -2ry+y)dy, where C is the circler +y' =4 and is oriented in a positive…

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Q: -41 sin tZ dz, c: 1Z-il=2 z4 ans: 3. coshz dz ,C: IZ1=1 27T ans :

A:

Q: B. Evaluate sin z z²+j2z dz, C the boundary of the square with vertices +1, tj clockwise.

A: Evaluate the integral ∮Csin zz2+j 2z dz, where the path C represents the boundary of the square with…

Q: Given, a(x,y,2) = 23x3 tan (y) + x*29 %3D Find the expression for Izyz and Caleulate it at the point…

A:

Q: If y= tan x, prove that y 2(y² +1)(3y² +1).

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If x=sin8,y=0 ,y=cosp0,Prove that (1-x') y,-xy,+p°y=0 where y2 d'y dy and y,- dx? dx

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Q: Given that sin x+y3=ax2y, express y' in terms of x and y.

A: Objective is to find y'.

Q: For u = ex cos y,(a) verify that ∂2u/∂x∂y = ∂2u/∂y∂x;(b) verify that ∂2u/∂x2 + ∂2u/∂y2 = 0.

A: The given  function is, u=excosy (a) To verify ∂2u∂x∂y=∂2u∂y∂x Solution: We have u=excosy…

Q: dy _ 2y 4. If tan(ry) + 5= ry then show that dr?

A: We have to do differentiate with respect to x.

Q: dy let y = (z sin z)² then is da

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Let C be the line segment connecting 0 to ni. Then . 1-e2z dz = %3D a. 0 b. -0.5 + ni C. Ti d. None…

A: I am going to calculate the given problem by integrating over the given limits.

Q: Evalnete Sin z da - Cos x dy + sin y dz. C is rectangle. o< e <Tt,0<y<], Final answer: 2 2 = 3

A:

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.