". standard deviation is always positive

Q: Select ALL statements true about the function whose graph is shown below. A. The function is defined...

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A: Given, y=f(x)= tan(x) We know that, asymptote of a curve is a line such that the distance between th...

Q: (x² +3y² +5)dx +(6xy+ 6y+3)dy = 0 Identify the exactness of the differential equation. Calculate the...

A:

Q: Evaluate the given limits numerically (using table of values) and graphically 1. lim2 X-2 x-2 f(x)

A: x 1.9 1.99 1.99 1.999 2.001 2.01 2.11 f(x) 3.9 3.99 3.999 4.001 4.01 4.1 4.11     limx→2x2-4x-2...

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A:

Q: Estimate the slope f'(3.5) for f (x) = sin(3x) using: a. Forward difference approximation with h = 0...

A: f(x)= sin3x x y y1 y2 y3 y4 3.3 -0.1557             -0.193       3.5 -0.3507   0.0139     ...

Q: F(x, y) = x²yi + 3y³x²j Find the integral curves for the vector field -6y + 1 C 6ху? a. ob. -6ху —1 ...

A: Apply integral form 

Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2* Calcula...

A:

Q: x+1 x-x-2

A:

Q: Evaluate the integral. 1/2 3 sin 2nx dx 2.3 16 16 3 8

A:

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y = 2x – y ...

A: We need to solve the D.E.

Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

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A:

Q: Using bisection method with [a1, b1] = [1,2] , estimate the root of x – 2 + Inx = 0 such that the to...

A: Given: fx=x-2+lnx a1, b1=1,2tolerance=fxi+1-fxi tolerance=0.01-------------------- Bisection Method:...

Q: Write as a decimal. (Type a decimal.)

A:

Q: 1. This problem is designed to help you understand that definite integrals rep- resent the area unde...

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Q: Evaluate the definite integral. 4. 2x/x3 + 1 dx

A:

Q: Identify the type of generalized integral +00 fx'e* dx- and in continuity (if converging) to be calc...

A: According to question,Given Integral,Let I= ∫0+∞ x2ex3 dx

Q: For items 20-24, consider the following data set which shows the time recorded, in seconds, it took ...

A: 22) Mode of a data set is that value which occurs most frequently in the data set. Since the value 3...

Q: y = xV 64 – x² + arcsin 5.

A:

Q: Find all the values of a such that the given series would converge. (– 1)"9"x" Σ n=1 (Vn+ 5) The ser...

A: Here we have to find the values of x such that the given series would converge.

Q: Sx V1 – x² dx 3.

A:

Q: What is the slope of the tangent line passing through y = x^2 - 3x - 5 at (-1, - 1)? Kindly show you...

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Q: Given the differential equation y" - 4y' + 4y = - 3x2 e-5x Find the Differential Operator for the Le...

A:

Q: Use Simpson's rule with n = 4 to approximate 11 3Va? + ædx Keep at least 2 decimal places accuracy i...

A: ∫abf(x)dx=∫3113x2+x dx where   a=3,b=11 and n=4then h=b-an=11-34         h=2 Simpsons Formula is giv...

Q: 5. A wooden block is made as shown in the diagram. The ends are right-angled triangles having sides ...

A: Given Total surface area = 7.200 cm2

Q: 1 -1 1 -1 1!' 3! ' 5!' 7! 9!

A: The nth term is given below

Q: Let f(x,y) = ln(100 − x^2 − y^2). a. Find the domain of this function. b. Find the boundary of the d...

A: We know domain of log(x) is (0, infinity)

Q: Evaluate the expression using the order of operations. (22 - 9+ 3) - (42+3•5) (22 -9 + 3) - (42 +3•5...

A: We know that BODMASThat is Bracket-Division-Multiplication-Addition-Subtraction.Given (22-9÷3)-(42÷3...

Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: As per guidelines we can solve only three subparts at a time, so the first three subparts of the que...

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximat...

A: Revenue function is given R(x,y) = 19+162x+210y-3x2-5y2-6xy  , it is function of two variable  Findi...

Q: Let f(x, y) = e^(y/x). Describe a typical level curve. Sketch two specific level curves.

A:

Q: 5) ( 3 tan x – 4 cos? x dx cos x

A: To evaluate the given integral.∫3 tan x-4 cos2 xcos x dx  

Q: Operators. Unlike with the Left Side of the differential equation, we will not be able to factor, bu...

A:

Q: A. How do you define Differentiation? B. Explain the principle of derivative with a given function, ...

A: Differentiation 

Q: Find the derivative of: – 8e-8* cos( – 3x). [Hint: use product rule and chain rule!] Use e^x for eª....

A:

Q: x + 1 dx x,

A:

Q: Which of the following is not in the domain of cot(x)? Select all correct answers. Select all that a...

A: We can answer the question as below.

Q: A. Evaluate the following integrals by substitution. 1. Sx(2x? + 3)®dx

A: Put (2x2+3)= t  Differentiating both sides  4x dx= dt    

Q: 3x°+x*+2x³+3x²+18 f(x)= x2-24 Solve for the lim f (x) Using the following methods: x→5 a. Table of v...

A: solution given below

Q: Find the inverse function of  f.​ f(x)=8x-1/3x-4 x cant equal 4/3

A:

Q: Determine if the given functions f(x) are continuous or not at the given value of x. Show your compl...

A:

Q: n (n+1) (2n +1) 2. Find the sum (k+4)2, hint use use this formula and subtract out the 1, 2 ,3, and ...

A: Explanation of the answer is as follows

Q: evaluate the trigonometric function of the quadrantal angle, if possible. 38. csc

A: Given,            csc3π2

Q: 2. is the branch of science that deals with the collection, organization, analysis, interpretation, ...

A: Given; ? is the branch of science that deals with the collection, organization, analysis, interpreta...

Q: dx 1 3. xVx6 – 1 3 sec-(x³ ) + C

A: Let I=∫1xx6-1dxPut x6-1=u(squaring on both sidex6-1=u2x6=u2+1)differentiate 12x6-1ddx(x6-1)=du12x6-1...

Q: Given the differential equation y" - 3y' - 28 = 6x e2 + sin(8x) Find the Differential Operator for t...

A: This problem can be solved as follows

Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6, i...

A: Hair we are given that the function is continuous at every point. we use the concept of limit for fi...

Q: Find the values of c that make f continuous everywhere: x? – c2 if x 8 smaller c = larger c = Use a...

A:

Q: Compute fx, fy: f (x, y) = arctan(xy)

A: