Let f(x) = cx + In(cos(x)). For what value of c is f' = 4? %3D 4 C =

Q: dy B) Find for all the following dx 1) y = sin-13x 2) y = In(5x) 3) y = Vtanhx

A: Solution: As per our guideline we are supposed to answer only first three question please repost…

Q: Find the differential of the given functions. a) f(x) = sin(cos(22)) CoS %3D 2x b) g(x) x3 – 7x

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Q: and Suppose z is a function of a and y, and tan Vy2 + x² = z*e6y. Solve for dx dy

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Q: Find for the following function: dx 1- y = sin-1 V2x + 3 2- y = 3cot(cosx) 3- y = x*y at x = 1

A: We have to find the derivative of the following functions.

Q: Q1: A. Find of four of the following: dx 1. y = x sin-1 x +v1– x² 2. y = (x2 + 2x) tanh(x + 1) 3. y…

A: See the details solution in below

Q: Let z= sin (y2 – 4x), Find the rate of change of z with respect to y at the point (2, 1) with x held…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: The integrating factor of the linear DE dy - 8y = 5 cos x, dx is the function µ(x) = e-8z Select…

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Q: xdx x²+6x+18 7. f cos(lnx)dx 8. fest sin(at) dt 6. f

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Q: Find for the following function. dx 5 cos x y= 6-7 cos x dx

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Q: Find if y = In x5 + e¯cos2x – lIn e?. dx | dy_5, esin²x-cos²x 4 sinx cos x dy 5 %3D dx e cos²x-sin²x…

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Q: Q3 Find and show the work for (x+3)(3x+2) dx. (a) х (b) F (sin(2x) – cos x) dx. (c) S(3x² + 2x +…

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Q: f(x, y) = log, (3x) fe dy In(3x)/(yln(y)2)^2 ||

A: Topic- partial differential

Q: Consider the following function and express the relationship between a small change in x and the…

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Q: If y = In(x² + 5) + sinx function then ay at x = 0 is ? dx 11 10 1 10 O 1 O 5

A: Given, y=lnx2+5+sinx  We have to find  dydx at  x =0

Q: dw H.W: Use the chain rule to find the derivative dt with x = cos x = cos² t, y = sin² == and…

A: Given :w=xz+yzx=cos2t    and y=sin2t   z=1t

Q: (d) a sin 0 d0 + (x³ – 2x2 cos 0) dx = 0 - %3D (e) x dy - [y + xy°(1+ ln x)] dx = 0 %3D

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Q: Find the differential of the function. z = e ** cos(8nt)

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Q: Find dx/dt: x = 2[cos (t/2)]^2

A: x=2cost22

Q: xdx ax + b cos ln x dx X S 2, A = 0

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Which of the following is the integrating factor for dy + 2xy = cos²x. dx О а. 2 O b. 2x O c. Inx -2…

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Q: 3. x cos x dx

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Q: If f(x) = x^2 sin(3x), find the differential dy

A: Consider the given: fx=x2sin3xy=x2sin3x Differentiate w.r.t. "x", dydx=ddxx2sin3xApply the Product…

Q: Find the antiderivative of f(x)=cos(3x)

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Q: of

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Q: x dx = e* + cos x e* + sin x O a. In(e* +sin x)+C O b. In(e* + cos x)+C О с. - In(e* + cos x) + C…

A: To evaluate  ∫ex + cos xex + sin x dx

Q: 5. y = l 1- co s x 1+co s x

A: We have to find out dy/dx for given y

Q: Let y = tan x. (a) Find the differential dy. (b) Evaluate dy and Δy if x = π/3 and dx = -0.2…

A: Let,  y=fanxa To find differential dy, differentiate y       with respect to x,        dy=sec2x dx

Q: dx 2а — У dt fip dt x + 2 cos(t)

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Q: Q2: Suppose the electric potential at (x, y) is given by f(x, y) = 0.5 Ln(x² + y²) estimate the…

A: In this question, we have to find the error in f(x,y) and percent relative error for the given value…

Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

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Q: Given x +2xy– y² +x= 2. Find dy at (1,2) using implicit differentiation. dx

A: We need to use simple  differenciation

Q: Find the differential of the function. z = e-5x cos(9xt) dz = dx + dt

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Q: find ƒx , ƒy  . 1.ƒ(x, y) = e^(xy) ln y 2. ƒ(x, y) = cos^2 (3x - y2 )

A: Hi! You have uploaded multiple questions. As per norms, we will be solving only the first question…

Q: dx + 3x dt cos(5t) %3D with x(0) = 1. x(t) = %3D

A: The given initial value problem is: dxdt+3x=cos(5t) ;         x(0)=1

Q: Find . dy dx e 4x, = sin (x + 8y) %3D O In sin (x + 8y) 4e4x -1 S cos (x + Sv) S cos (x + Sv) 4ex -…

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Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: 2. 2メ dy dx for y = Cos (ln x + e put lに

A: y = cos2(ln(x) + e2x)

Q: Find the differential dy of the given function. (LUse "cx" for dx.) x +3 3x

A: We will solve the problem

Q: xy = In (2y) – e

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Q: Find the total differential df to the function f(x, y) = x²y – xy? when x decreases from -2 to -2.01…

A: We will find out the required value.

Q: Find the differential dy of the given function. y = x(1 − cos x)

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Q: 10 cos(x) Evaluate the improper integral: / dx Vsin(x) а) 30 b) O20 40 c) 3 d) Odiverges e) 10

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Q: Find the antiderivatives |x In(x²) dx + sec? x dx CO X dx sin5

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Q: Let -sin (y-4x) Find the rate of change of z with respect to y at the point (2, 1) with x held…

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Q: 3 dy Find dx if y = cos vx + 4sin x – log 3(3x + 1)ž. إضافة ملف

A: We will solve the following

Q: In the given DE, cos x + In y + ( + ev = 0, integrating the coefficient of dx, M (x, y), with…

A: We will find the g(y) as shown below

Q: A-The derivative is y = In Vsin 0 cos 0 1 + 2 ln 0

A: Let's find derivative of given  function.