If x=t² - 5t and y=1-61² , then dy at t =1 is dx Oa. 4 O b. -1 - 4 d. 4

Q: 7. Find dy dx (a) y = (x* + 5x) cos 5x, %3D

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Q: Given x 19 In(t) and Y 361 t2 then find dy dx dy dx?

A: To find: The value of dydx and d2ydx2. Given: The values are x=19 ln t and y=361t2. Formula used:…

Q: Q22. If y=tan x+ tan dy is: -then dx 2 (d) 1+x (a) 0 (b) 1

A: Given function is                                          y=tan-1x+tan-11x we have to find…

Q: If x = t+1 and y = t2- 2t + 3, then find t- 1 dx A -(t- 1)3 1 (t – 1)2 1 t-1 1 D (t – 1)² B

A: x=t+1t-1 and y=t2-2t+3, find dydx

Q: If x? + y? = 100 and dy 8, find dt dx when y = 6. (Enter your answers as a comma-separated list.) dt…

A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate…

Q: dy If dx = COS s 2x, then what is y?

A: The derivative is given by dydx = cos2x                         ........(1)

Q: Ɔ) = 1, the solu %D dy + 4 + 4 dx

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Q: Solve the following DE: dy - 5y = 0 dx

A: The given differential equation is  a first order linear differential equation in variable separable…

Q: j) S (2 cos a – e) dx

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Q: dy at t= T is dx If x=t+sin 2t , y = 3t – cos 2t, then O a. -1 O b. 1 O C. -2 O d. 2

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Q: Find the general solution of the given Attached equation

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Q: find the dy/dx of the following {(x=√1-t),(y=√1+t)

A: To find: The value of dydx. Given information: x=1-t,y=1+t

Q: The solution of the DE dy + (y – 1) dx =0

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Q: (9cosx+y°cosx) dx +2ysinx dy = 0, y(5)= -4 the value of the constant (c) of this D.E will be:

A: Solution is written in below steps.

Q: Solve the following D-E dx 5) dy 2y

A: Answer:-  Given differential equation                        dxdy-x2y=-12cosy x3→             i…

Q: Solve the following DE: -y dx +(x+/xy) dy=0

A: Given  -y dx+(x-xy)dy=0

Q: Given x 13 In(t) and y = 169 t² then find dy dx

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Q: dy/dx= 4 cos 4x

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Q: Given z 13t 9 and y- 169 sin : dy dx d²y da?

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Q: d²y Solve the following DE : dy + 2 dx + y = cos²x dx2

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Q: e Given to 9. Ila,b)=)-0∞ 3(ax?)dx e

A: I could not find what to do after your steps. So I thought of a different process. I hope this…

Q: Solve the following D.E.s d'y dy 4 + 12 у %3D бх — 2 е* (1) - dx2 dx

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

Q: Find dy/dx at the given point. (2t + 9, 7t − 9), t = 1

A: We have to find dy/dx at the given point - (2t + 9, 7t − 9), t = 1

Q: Suppose a E R, where a>0, a + 1. What is dx A a* B xa*-1. In(a) ха xa*- a*. In(a)

A: The objective of the question is derivative of given function.

Q: Find dy : (a) y = cos(1 Ix + 5x) dx

A: Topic:- calculus

Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

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Q: If x = 4t +5 and y = 2t² + 6 , then find dy at t =1. dx O a. 0.22 O b. 0.11 O C. 0.33 d. 0.44

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Q: Solve the following DE: -y dx + (x+xy) dy=0

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Q: e'dx+ cosx dy 2. t.

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Q: Find the general solution of the following exact differentia (e + 2ry)dx + (cos y +2a y)dy = 0.

A: As it is given the differential equation is exact si we can directly use the formula of exact…

Q: i. S(e** cos(2x)) dx

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Q: Find dy of the expression (xy)* = e %3D dx

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Q: -T/6 T So Soo S xy sin(yz) dx dz dy.

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Q: Find dx implicitly, if e*(e♥ – 1) + sin(2x+ 5y) = In(v7) – dy 5 ·cot(2x - y+2

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Q: if y=u, u=v -1/2 and v=lnx, what is the value of dy/dx at x=e

A: Calculate the value of dy/dx and then put x=e .

Q: t+1 If x = and y = t2 - 2t + 3, then find t- 1 dy dx

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Q: If x = 2 sin* t and y = 3 cos* t, then find dy at t = %3D dx 4 а. 1.5 b. -2.5 с. -1.5 d. 2.5

A: Solution:

Q: b) ſ cos (Inx)dx=?

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Q: If x = 1 + t3 and y = 5t – t² then dy at t = 1 is : dx 2 3 None 3

A: Find the derivative of y with respect to x using chain rule

Q: If x = 5t +4 and y = 3t-7 , then find dy at t = 2. dx а. 1 O b. 2

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Q: dy If x = 3 sin t and y = 2 cos"t, then find at /= dx Oa0.76 Ob.0.86 OC 0.67 Od.0.56

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Q: Given x = 13t – 6 and y = 169 sin t dy dx d²y dx? ||

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Q: If sin2y = (8/3)x° then dy/dx at a point (0.5, T/2) is

A: take derivative

Q: dy = 4 cos 4x dx

A: The given differential equation is dydx=4cos4x. We can solve this differential equation using…

Q: Evaluate the dy/dx of the equation x2 + 3y? – 2x + 5y – 12 = 0. Evaluate the dy/dx of the equation…

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Q: Given z = 5 ln(t) and y= 25 t then find dy dx d'y |3| 一

A: We can solve the given problem using the concept of chain rule of derivative in order to solve the…

Q: Given æ = 15 In(t) and y = 225 t² then find dy dx dy dx?

A: Given that       x = 15 ln(t)      and   y = 225t2 Here we have to find        dy/dx       and…