1) Let f(x,y) = e^2x/(x^2 +y^2) find 2f/2y (that weird derivate symbol is the 2) and find 2f/2x.

Q: 9. for f(x)=3x-5 and g(x)=3x^2-3, find the following functions  a.(f o g)(x)  b. (g o f)(x) c.(f o…

A: Consider the function, To calculate the (f o g) (x),   Substitute the value of g(x) in function…

Q: Evaluate I = = / x*(x² + 4)³/ª dz

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Q: Carry out the following steps. a. Use implicit differentiation to find dy/dx .b. Find the slope of…

A: Given:             sin y=5x4-5 ; 1, π Find dydx using implicit differentiation            ddxsin…

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

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

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Q: The value of (-1+v3 i)^(1/3)

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Q: Find the value of a and b in the function f(x)=ab^x, if f(-1)=15 and f(2)=5/9

A: Given function,                               f(x)=abx                               And  f(-1)=15…

Q: The height of an adult can be predicted from their height as a child. If a child is i inches tall at…

A: Any values for i and w can be substituted in the function, H(i,w) = 150 iw to calculate the value of…

Q: If P(t) = 2 and h(t) = 1+3t, compute the following functions and values. If your answer is a number,…

A: Given that : P(t) = 2t and h(t) = 1 + 3t

Q: Find the value of n(A) if n(B)=32, n(A^B)=17, and n(AUB)=49.

A: Given information:The value of n(B) is 32.The value of n(A∩B) is 17.The value of n(AUB) is 49.

Q: The number of bacteria in a culture is modeled by the function n(t)=30e^rt where t is in hours.…

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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: There is a bacteria cell in a Petri dish that is reproducing at a rate of              r(t) = 2t^2+1…

A: Solution:

Q: An investment earned interest of $380 during the 10th unit period. If a(t) = 1 + t^2 , find the…

A: Accumulated function: A(t) =k×a(t) Where k=A(0) is initial amount A(t) is accumulated amount a(t) is…