Use differentials to approximate the value of V32.03.

Q: Find the differential of the function y = (√1 + x)/(x − 1) and use it to estimate: The value of y…

A: Given query is to find the differential of y.

Q: Find the approximate value of √0.95 using differential

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Q: Use differentials to estimate the value of 7+(1.02) correct to four decimal places.

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Q: What is the derivative of =pt? y=e eki?

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Q: Givenf(x) = x°, use differential to estimate the value of (4.003). Give your answer correct to two…

A: Here we have to make linear approximation of the given function at a specific point suitable for the…

Q: Find the derivative of h(t) = 15€ + - VE + 6 %3D

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Q: write a differential formula that estimates the given change in volume or surface area. The change…

A: The volume of a right circular cylinder is,

Q: What is the derivative of p(aE - bE2)?

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Q: 4. Compute the derivative, r'(t), of r(t) = (2t°, v2t, 2 –t=2).

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: In the integration What is the implicit derivative of u? V9-4x² a. du = 2dx %3D b. du = * c. du =-…

A: dx9-4x2=dx32-2x2 Put, u=2x⇒dudx=21⇒du=2 dx

Q: Use a linear approximation (or differentials) to estimate the given number. V 99.4

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Q: What is the derivative of y = V(x? V(a2 – 1) (x + 1) ? -

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Q: Use the Power Rule to compute the derivative.

A: To compute the derivative using using power rule: ddtt-3t=4. Solution: Power rule of differentiation…

Q: Evaluate the derivative dt for the function y = 4Vt cosh vt – sinh(t?). 4.

A: Given:y=4t cosht - sinht2

Q: Find the differential of the function. z = 3t - = zp

A: Differentiate the function: - Differentiation is that the quantitative relation of a small amendment…

Q: Which of these is the differential of y = x· cos x ?

A: From the given data:

Q: Verify the statement by showing that the derivative of the right side is equal to the integrand on…

A: We will find the derivative of right side. By showing this derivative equal to integrand the…

Q: Find the indicated derivative. dp for p q² + 2 5q – 3 %3D dq dp dq II

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Q: Use a linear approximation (or differentials) to estimate the given number. 99.8 9.9

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Q: · F(x) = 5* (S₁²¹6 (√₁+ u²) du) dt

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Q: calculate the derivative indicated r,(0), r(t) = (e2t, e−4t2, e6t)

A: It is given that, rt=e2t,e-4t2,e6t. Note that, If  rt=ft,gt,ht where f, g and h are differentiable…

Q: Find the differential of the function. y = (5 - v^2) / (5 + v^2)

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Q: Find the approximate root of y = 3x? 12x – 15 when x 0.02 using differentials.

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Q: Use a linear approximation (or differentials) to estimate the given number. (8.09)2/3

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

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Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: S 3p? tan p dp

A: To integrate.

Q: Use differentials to approximate the value of tan 46°. 90+7 90 180+ /2a 180 45+ 45 47 45

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Q: Find the differential of the function. 7 + uvw Da + | Dov•([ Daw dT =

A: Given function is By using quotient rule of differentiation

Q: la y is not measurable. Wan

A: Given a statement

Q: Find the differential of the function  p = 5q − 6q3/2

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Q: Does the differential dy represent the change in f or the change inthe linear approximation to f ?…

A: Given the differential is dy.

Q: In the integration What is the implicit derivative of u? V9-4x* a. du = 2dx b. du = * c. du =– 2dx…

A: Implicit differentiation of integral

Q: Find the differential of y=x^4-2x^2

A: Given query is to find the differential of the expression.

Q: Use differentials to approximate the value of (3.01)2 + 2(0.99) – 3 in four decimal places.

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Q: Evaluate the derivative So (3t² – 2t +1) dt. -

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Q: Find the differential of the function.

A: Differentials are infinitely small quantities. We usually write differentials dx, dy, dt (and so…

Q: Find the 127th derivative of (1 t a*) 16 at r 0.

A: we need to find 127 derivative of given f(x) so we need to apply product rule

Q: Find the total differential.

A: w=3x+y4z-9y

Q: Use differentials to approximate the value of tan 46°. 180+ /2x 180 45+ 45 90+ 90 47 45

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Q: Use a linear approximation (or differentials) to estimate the given number. e0.01

A: We use linear approximation to find e0.01 By linear approximation f(x)=f(a)+f'(a)(x-a) we take a=0…

Q: Find the differential of the function. = e dy =

A: y= e^(2x) dy = 2 e^(2x) dx

Q: Find the second of the finchion, ç x) = cos e derivative f (x) (x %3D %3D

A: Consider the given function: f(x)=xcosx The first derivative is calculated using the product rule.…

Q: Use linear approximation or differentials (but not both) to estimate: V7.98

A: We will use linear approximation to estimate the given term   the given expression is   7.983

Q: Calculate the differential of the following function. Z = 2x³ex? + In(x+y²)

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Q: f(1, у) — Зх + 2у;

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Q: Find the approximate value of V0.95 using differential

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Q: Use forward-difference formula to evaluate the first derivative of y = x² + 4x – 5 at a = 0 using a…

A: The forward difference formula is : f'(x)=f(x+h)-f(x)hWe have to find the first derivative of…