If X has hazard rate function Ax(t), compute the hazard rate function of aX where a is a positive constant.

Q: Find the equation of the normal line of f(x) = x⁴ + 2x at x = 1 using the limits definition.

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Q: Let f(x, y) = x4 + y4 + x²y?. Use the dropdown menus to choose the option that makes each of the…

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Q: Show that the function f(x) = e¯*/2 has inflection points x = f1. at

A: We have the given function as fx=e-x22              ⋯⋯1 As we know that, a point of inflection of…

Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Q3/(A) The relationship between stress T and the shear strain rate y can be expressed by the…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: The integrating factor of y= 2x' is dx

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Q: If the average value of f(x) = x³ + 3x2 + bx - 2 over the interval [0, 2] is 8, solve for b.

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Q: Let f(z) = 10z + 6 %3D f (z) = Submit Question

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Q: Let f(x) = 3e7x+3 +e². ƒ'(0) = Enter the exact value.

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Q: Let f(x) = ax + b/x. What are the critical points of f(x)? i

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Q: C Chain Rule 7) f (x )> (2x +5)

A: To determine the derivative using chain rule.

Q: Solve X(Inx - Iny)dy - ydx = 0 %3D

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: Let F(x) =Cx41D, fCx)=X,and gox)=x+1 True or fals e (gof)(x) = FCX).

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Q: du _ dv dy dx If f(z) =z²+z - ,2

A: Take z= X+iY and proceed

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: Calculate the 5-unit moving average of the given function. (x) = 2x 3 a. 6 7«) = 25 (s - x) + Ob. 2…

A: To calculate the 5-unit moving average of the below function.

Q: If y = xsinx then prove that y''+y=2cosx

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Q: Show that Var (Y) = Var(ε₁) = 0².

A: Let us consider a simple linear regression. The equation of a simple linear regression model is:…

Q: Find the differentiate

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Q: If X~BET(1,2) then E(X)= (1 2/B (1/B

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Q: Let f(x) = In(5æ² - 4x + 9) f'(x) =

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Q: Find an antiderivative of (3x3+9x5)/x6 in the variable x where x does not equal 0.

A: From the given problem:   3x3+9x5x6   So,    3x3+9x5x6=∫3x3+9x5x6dx   We can simply write as:…

Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: Suppose X and Y are independent variables such that E[X] = 2, E[Y] = 3, E[X^2] = 9 and E[Y^2] = 15.…

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Q: 6. Find an equation of the tangent line to y = f(x) : = tan¬(2x) at x = 7

A: Given,