S(«,9) =7+3y Also, find the total differential of the function.

Q: Estimate f(2.98, –1.99) given that f(3, –2) = 2, f«(3, –2) -3 and fy(3, –2) = -4. = f(2.98, –1.99)

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Evaluate I = = / x*(x² + 4)³/ª dz

A:

Q: y=3+1/x^2, compressed horizontally by a factor of 2

A: Given query is to apply the Indicated transformation.

Q: Question 3.5: Calculate o dz. Question 3.6: Calculate o 1 - dz .

A:

Q: Water flows into a reservoir at a rate of 500 + 7t2 gallons/hour. There is a hole in the reservoir…

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Q: S= 2rh + 2r^2 , for h Please show steps

A: Do the mathematical operations such that only h remains one side and other all shifted to others…

Q: The speed of a viral post is modeled by the function, Γ ( t ) = 3 squareoot 2t + 8e^t. If t is the…

A:

Q: On which interval(s) is the function h(t) = (−t^3) + 3(t^2) + 24t − 11 decreasing?

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Q: Find h(-2)         h(t)=t^2-4t+2

A: The given function, h is,

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

A:

Q: y=(x+1)/(x^3+x-2) differetiative

A: Given function y=x+1x3+x-2. The objective is to differentiate the function.

Q: F(x)=32-2x^2, [1,4]

A: Given, f(x)=32-2x2

Q: y=(x+5)^x Differentiate

A: Solution: y=(x+5)^x dydx=ddx((x+5)x)