determine f(t). Q. f(t −3)=te−(t−3).

Q: dz Use an appropriate form of the chain rule to find dt z = 9x10y%; x = t10, y = t6 Enter the answer…

A:

Q: If f(z)=u(x,y)+iv(x,y), how do I determine dz? I have that the answer is dz=dx+idy, but I don't…

A: It's nothing to do with f(z)=u(x,y)+iv(x,y). Here z be complex independent variable. Hence , z could…

Q: 1 (a) 3.98 By using the differential, approximate (b) v17.02

A: Topic = Algebra

Q: Find the gradient Vf of the function f given the differential. df = (342 + 1) ve" da + a° e® dy Vf =

A:

Q: Find the antiderivative F(x) that satisfies the given condition. dF dx = 4e* + 4x²; F(0) = -5

A: Given query is to solve the differential equation.

Q: Answer part D.

A: As we consider the approximation of function have already done in  above parts,(D) When change in x…

Q: Show that g(t) = t / ( t+1 ) takes on the value 0.499 for some tin [0, l].

A: To show that g(t)=tt+1takes on the value 0.499 for some t in [0, 1]. We use intermediate value…

Q: Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

A: Find the differential of function

Q: T(E) = N= T'(4) Evoluate (t) NG) for t=L,

A: First we find r'(t) then put t=1

Q: Let y = f(x), where f(x) = 5x² + 5. Find the differential of the function. dy = X

A:

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

A:

Q: Evaluate the derivative of the function r(t)=⟨lnt,3t+1,t2⟩ at t=1.

A:

Q: af dy of f(x, y) = tan (x²y³ + 2xy)? What is the

A: Given:     To determine:

Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: Q#3: Find the total derivative dy/dw. Y=3x+2w+5z? x=4 In(w³) z=e+3x³

A: Given,           y=3x+2w+5z2 , x=4 lnw2 , z=e-z+3x-3

Q: Differentiate the function y = e0.4t. dy dt

A:

Q: Q9/ use the chain rule to express dy/dx in terms of x and y and choose correct answer. 1 x = t2 at t…

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Q: dy/dt= 2e-t/8, t is greater than or equal to 0

A:

Q: f(x) = 9x3 + 4x.   Find the differential of the function.   dy =?

A: Given , y=fx where fx=9x3+4xwe have to find the differential dy

Q: Find dy if x=t+6f and y= dx 2 5 at t=1 +

A: We have to find dy/dx

Q: Find the differential of the function y = f(x) . f(x) = (5x² + 7)/3 dy =

A:

Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

A: Solution:-  given that  dsdt=5t(2t2-1)3 now  using identity (a-b)3=a3-b3-3ab(a-b)

Q: Use the Quotient Rule to compute the following: t2 +1 d at t = 2 dt t2 The derivative is:

A:

Q: Let y = f(x), where f(x) = (x-4)/(x^2+4).   Find the differential of the function.

A: Calculation: The first derivative of f(x) is given by

Q: Solve the initial-value problem for x as a function of t. da (2t3 – 2t? +t – 1) 9, x(2) = 0 %3D dt

A:

Q: Evaluate the second derivative of e22.1.png а f(x) acos(b/x) x2 if a = 345 and b = 0.6 at x = 5…

A: Given: Let us consider the given, fx=acosbxx2 where a=345 & b=0.6 at x=5 using BDA with ∆x=0.06.…

Q: Let y = f(x), where f(x) = X - 6 Find the differential of the function. dy =

A: Diffrential is just put function of y and x separate and then just find f'(x). Now put the value of…

Q: Find the differential of the function. y = V6 - t8 dy %3D

A: Solution: The objective is to find the derivative of the given function

Q: 2. In each case, find the derivative d (a) z = x* + y and r(t) = In (t) and y(t) = e24, (b) z = 5xy…

A:

Q: Find the derivative of the function. s = t In |t| ds dt 11

A: The objective is to find the derivative.

Q: Find f. (Use C for the constant of the first antiderivative, D for the constant of the second…

A:

Q: (a)Differentiate t + 3t* – 2t with respect to t. (b) 4 (x³ – - * +) with respect to x. (c) Find when…

A:

Q: 크(F(a+) e dt dx 19

A: We have to evaluate, ddxFx4=ddx∫10x4  e-t2 dt

Q: Let y = f(x), where f(x) = x4 − 5x. Find the differential of the function.

A:

Q: Obtain dy from the following function y= e v*

A:

Q: Find the differential of the function. .6 y = V 3 – t

A: giveny=3-t6

Q: Find the differential d3y of the function y=x2ex.

A:

Q: Find f. (Use C for the constant of the first antiderivative, D for the con f'(t) = Vt - 6 cos(t)

A:

Q: Let y = f(x), where   f(x) = 4x2 + 6.   Find the differential of the function.   dy =?

A: Given: y=fx=4x2+6 now differentiating given function with respect to x

Q: Find the total differential. z = 10x4y5 dz = (No Response)

A:

Q: B) Find Sx e2x dx, at h = 0.2, use Simpson's 1/3 rule. J0.4

A:

Q: Evaluate: L{t f -t e2t Cos t dt}.

A: Evaluate: Lt∫0te2t costtdt First of all we find    L(cost)=ss2+1L(e2tcost) =…

Q: Let y = f(x), where   f(x) = 5x3/2 + x1/2.   Find the differential of the function.

A: The given function is

Q: Solve the initial-value problem for x as a function of t. dx (t – 12t + 35) dt 1, (t > 7, x(9) = 0)…

A: The given initial value problem is as below.

Q: dw Q11- express by using the chain rule: dt w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

A: We have to express dwdtby using the chain rule:

Q: Given the function y = x3 + 7x, find the differential dy.

A:

Q: The population of a city (in millions) at time t (in years) is P(t)=2.8e0.008t, where t=0 is the…

A: Given data:   The expression for the given population at any time t is: P(t)=2.8e0.008t.     The…

Q: 3. For x= In /t y=t2, find y'-y"when x=0.

A: To find: The value of y'-y" when x=0 . Given: The value of function are x=ln(t) and y=t2. Formula…

Q: Find the antiderivative of the given derivative. ds = 14t(5t2 – 1)3 dt S=

A:

Q: Find the third derivative of f (z) = T2x +I. fll! (z) =

A: Explanation of the answer is as follows