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Mathematics, 15.12.2021 04:50 valenzueladomipay09u

Quickly! Please solve all correctly! Will give 100 points! 1. If 4x^2+y^2=100, ,then what is \frac{d^2y}{dx^2} at (3, 8)?
2. If f(x)=2x^\frac{5}{3} , what is the instantaneous rate of change of f(x) at x = 8?
3. Let f(x)=log_2(2x) . Which of the following is the value of \frac{d}{dx}(f^-^1(3)) ?
4. The position of a particle moving along a coordinate plane is s=\sqrt{1+5t}, with s in meters and t ins seconds. What is the particle's velocity when t= 3 sec ?
5. If f(x)=e^2^x+e^1^-^x, what is the slope of the tangent line of f(x) at x=0?
6. Let x^2+4y^2=16 . Which expression represents \frac{d^2y}{dx^2}?
7. If y=2^{x^2+2}, which of the following gives the slope of the tangent line for all values of x?
8. Let f(x)=log_2(4x+8x ln(2)) . For all values a for which the function is defined, what is the instantaneous rate of change at x=a ?
9. Let f(x)=x^3+x+1 . Which expression gives \frac{d}{dx}(f^-^1(x)) ?

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Quickly! Please solve all correctly! Will give 100 points! 1. If ,then what is at (3, 8)?
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