Q5. In the following diagram: H: μ-4; Η: μ = 1. (X) Ho H XD Rejection region Non-rejection region

Q: dA Calmilate Je= JJ Jxtxyz behween ay?sl6, x?ey?s1 and unde y=2.

A: See the attachment

Q: Find the equation of the normal at (1,2) for the function 2x - 3xy+ y +x+2y+12%3D0.

A: Equation of normal for a  curve at a point (a,b) is given by, y-b = m(x-a) Where m is the slope of…

Q: 4. Approximate y(0,4); = x +y, y(0); find y(3); Step size: h = 0.4 %3D

A:

Q: At what point is the function in Exercise continuous?

A: Firstly, the expression can be thought as a combination of a linear function g(x)=x+2 and the other…

Q: 1. Given y=Vx-4. a. Evaluate dy when x= 13 and dx=0.2. %3D

A: Given y=x-4 x=13 and dx=0.2

Q: Let X - W(a, A). Determine VaRõ(X) and the PH premium with parameter p.

A: Given that For the variable X, We know that

Q: 4e) Sketch the araph of f, label the extrema, Infltction paints, and of concavity regione Wthat…

A:

Q: 5) Find the range of values of x for which given function is decreasing dy = 4x dx 10

A: We will find out the required value.

Q: Find, if they exist, the extrema of the function: f(x, y) = x² + 3y? + 4,

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Q: Y = w tan-1(uv), u = r + s, V = s + t, w = t + r when r = -1, s = 2, t = -1 1. as at ar as %3D

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Q: 6. If f(x)dx = 5, S f(x)dx = 2, and f f(x) dx = -1, find , f)dx. %3! %3D a. -2 b. 2 С. —3 d. 3

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Q: 1. (x + y)dx + xdy = 0

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Q: dy Given that y = (2æ + 3)²(5æ – 1). 5. Find dx? 6. Let y = (x + 1)²(x – 3). Find the average rate…

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Q: %3D

A: In this question, we use the composite trapezoidal and Simpson rule to find the IQ integral for the…

Q: The absolute Extrema of the function f(x) = -2x – cot x on the interval -, 2] a %3D Select one: a.…

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Q: If  z = 8x2 + y2  and  (x, y)  changes from  (1, 1)  to  (0.95, 0.9),  compare the values of Δz…

A:

Q: Suppose D is the shaded region in the picture below. Evaluate S y dA 1r=y-y' y= (x+ 1

A: Evaluate  ∫∫Dy dA=?

Q: 1. Graph the following lines on the graphs provided and indicate the slope and any x-intercepts…

A: We are to graph the line x+y= 6 We will indicate the slope , x- intercept, y- intercept .

Q: Let's examine the levels of levels of sodium in the blood. 20 people yield the following results (in…

A: Given  n= 20 y = 133.95 s = 2.544

Q: Q5: Differentiate the following: a. f (x) = In(3x + 2)5 b.y = (2x* + 1)tanx c. f(x) = etan(2x)

A:

Q: Zad. 1. Check if the function y is the solution to the given equation: a) y(t) =In(t+2), y' = e¯ in…

A: We have to check, whether the function y(t)=ln(t+2) is a solution to the given equation y'=e-y in…

Q: e midpoint rule (n = 5) to approximate S x -0.5

A: Here we have to calculate the approximate ∫-0.52.5x3 dx by midpoint rule (n=5)

Q: Find the area of the shaded region below

A: Given Data: From Graph, Equation 1: x=y2-4y Equation 2: x=2y-y2 Point 1: (x1, y1)=(0, 0) Point 2:…

Q: Consider a x²-curve with df = 15. Obtain the x²-value that has area 0.975 to its left. Click the…

A: The degrees of freedom is 15.