A rod has a temperature distribution according to function f(x) on it initially. The boundary conditions for temperature is as follows:, du - (0,t) = 0 and -(2,t)=0, u(x,0) =f(x), 0

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Q: 19. Let f(x): (0,00) f'(1) = 2. Let g(x) = xf(x²). Find g'(x) and cvaluate g(1) and g'(1). - (0, 0)…

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Q: 3. a.) Find the partial derivative of the function f(x, y) = x² tan y + In( sin xy) 1 b.) IF ƒ(x, y)…

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Q: 4. A 45 N weight is projected downward with an initial speed of 4.6 m/s. If the air resistance is…

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Q: Find i) Partial derivative. tii) of the function i Z= 200+xy Level Sur face エエ

A: Given z=200+x2y2 i) Partial derivative zx=0+2xy2=2xy2zy=0+2x2y=2x2y ii) Level surface of the…

Q: Let f(x) and g(x) be differentiable functions and that h(x) = f(x)g(x). Consider the following…

A: Explanation of the answer is as follows

Q: Consider a population of marine fish in a reef with and intrinsic growth rate of 0.5 per year and a…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Find all second order partial derivative with respect to variable x and y. F(x,y)= x cosxy + y sinx…

A: We have to find all second order partial derivative with respect to variable x and y: Given:

Q: Let f and g be differentiable functions such that f(1) = 2, g(1) = 2, f'(1) = 3, g'(1) = -3 f'(2) =…

A: uv'=u'v-uv'v2

Q: Find the approximate value for f(r, y) = sin(x7xy + ln(y)) at (0.03, 1.04). Take a = 3. %3D

A: We have to do two variable linear approximation here and find the required expression first.

Q: Find df / dx and ðf / dy. f(x,y) = e(x + y + 8)

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Q: 1. Find the derivative of the following function. 4. f(w) = 3D 6w* +3w +2w f'(w) = %3D

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: du Find and by using the chain rule. ar ' do u = x² + y? + 22; x = r sin o cos 0; y = r sin o sin 6;…

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Q: The derivative of f(t) = 21° · h(t), where fand h are differentiable functions is: A. 10° · h(t) +…

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Q: Find partial derivative of dx for the function f(x.y) given below exp 2x. siny .(at the point (In2,…

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Q: Assume that f(x) and g(x) are both differentiable functions. Given f(3) = -2, %3D g(3) = -4, f'(3) =…

A: f(x) and g(x) are both differentiable functionf(3)=-2, g(3)=-4, f'(3)=8 and g'(3)=2h(x)=3f(x)g(x)+2

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: If f(x) is a function such that f'(-1)= 0 and f'(x) is given below, then f(x) has -3 O c. Select…

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Q: Let f(x) and g(x) be differentiable functions such that • f(3) = 1, f(0) = f'(3) = 2. • g(1) = 0,…

A: Given, fx and gx be differentiable functions such thatf3=1f0=2f'3=2g1=0g'1=2 Used differentiation…

Q: Let f be a function with first derivative given by f' (x) = r(x –5)? (x + 1). At what values of z…

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Q: Q1: Find partial derivatives of the function with respect with each variable 4) f(x, y) = Vx² + y²…

A: We find the partial derivatives of the given function f(x, y)=x2+y2, by using the definition of…