1)A wire's mass is distributed as λ ( x ) = λ 0 e − | x |, where λ 0 = 4.46.  Calculate the mass to the left of x = 0.

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A: Find the tangent line

Q: 2. Given the function -a Show that

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

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A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k

Q: that f(−4)=5, f'(−4)=−2, g(−4)=3,

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A: Given function is

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A: Given; g'(x) = cos x and g(π/2) = 4.

Q: 4. Find the second derivative for the following function a) )* 22 y3(x+ (an b) f(x)=/2x + at x= 2 c)…

A: See the attachment

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A: The given function is .To find the value of .Derivative formula:

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Q: Suppose that ()=-6 and ()-4, and let g(x) f(x) sin cos x and h(x) = Answer the following questions.…

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Q: ) Given the function f(x) derivative f"(1) with h, h/2 and h/4. 5. e Vx cos (Tx), approximate the…

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Q: Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' =…

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