Q6/ Calculate mean, variance and standard deviation of following table: classes frequency 1-10 11 10-20 29 20-30 18 30-40 40-50 5 50-60 3 4-

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 sin(x) + 3 cos(x), 0...

A: Solution: f(x)=3sin(x)+3cos(x)       on the interval: [0, 2pi] Take the derivative to both sides of ...

Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb....

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Q: y=2 x=1+y e) (2y+5x) dx dy answer: 31 y=0 X=0 2x (2xy - 1)dy dx answer: 3 -1 y2

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Q: 2. for the augmanted matrix

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Q: Given: (-8, 6) sine = 3/5 4/5 -4/5 -3/5

A: We know that Sin(theta)=y/r r=√(x^2+y^2)

Q: A function f has the form f(x) = a + b In(x). Find fif it is known that f(1) decimal places.) = 4 an...

A: Given query is to find the function f.

Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

A: We have to find radius of convergence.

Q: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26...

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Q: 6 3 Consider the function f(x) x2 = 0. Let F(x) be the antiderivative of f(x) with F(1) = Then F(x)

A: We can find the antiderivative of the given function by using the following formula.

Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

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Q: 6. yi+ yž = 1, when x = 0, y = 4 dx

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Q: y = f(x) 2r 2r cross-section y = g(x) base view The base of a certain solid is an equilateral triang...

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Q: Solve the initial value problem: y' = – 0.05y + 20 y(0) = 40 y(t) =

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Q: 4+7 sinn Σ 5/4 +7 cosn n=1 2n

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Q: Hint: The rate of change of temperature is proportional to the difference in the temperature and the...

A: Question: a) what is its temperature after 45 minutes  b) when will the turkey cool to 100 ° F    

Q: Show

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Q: 13 A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the ...

A: We can solve by cosine law as follows

Q: Suppose an object in circular orbit stops in a 3 The terminal point is 7 position where sin(0) locat...

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Q: dx а) Зx2 x3 + dy 8(у + 1) — 0 - у+1

A: Based on the general formula of differential equation we will solve the question. First by substitut...

Q: QUESTION 5 For the following function, find the value of (a) f(-3) and (b) f(5), if possible. x²- 3 ...

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Q: For the function f(x) = cos(x), write Newton's formula f(xn) F(xn) for solving as xn+1 = = Xn f(x) 0...

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Q: 1. Use the function g(x) a. Use a calculator to graph g(x). Make sure you have a window that is larg...

A: The given function,       gx=2x2-4xx2-9

Q: a. The line x=7

A: Follow the procedure given below.

Q: (2, -3) ånd is parallel to the y-axis. 5. Equation of the line that passes through (3, -1) and is pa...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: of a drug in a person's system t hours after the drug is administered, what is the peak concentratio...

A: topic- application of derivatives

Q: 3. Equation of the line that passes through the points (2, 3) and (4, 1).

A: Given points (2,3) and (4,1) We have to find equation  

Q: 50. x = f(p) = 875 - p- 0.05p (A) p = 50 (B) p = 70 (C) p = 100

A: Let's find. 

Q: Suppose A and B are non-zero vectors. Then AxB is perpendicular to A+B. True O False

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Q: Given z=. Find z z„= -2x , = 2x*3 Option 1 Option 2 z„- -2x Option 3 none of the above

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Q: The distance (in km) of an airplane departing from Toronto Pearson Airport t seconds into flight is ...

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Q: Consider function f graphed below. (a) Find the Net Change of f between x =-1 and x = (b) Find the A...

A: Given query is to find net change and average rate of change bfir the function.

Q: d two positive numbers such that the sum of the first number and twice the second is 108 and ir prod...

A: Given query is to find indicated unknown number.

Q: Find the volume of the solid generated when the region enclosed by y = root(x+3), y = root(3x+1), x=...

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Q: Show that each series below is convergent using a test of your choosing. Besure you clearly state wh...

A: As per the guidelines I am supposed to do the first question among multiple question. So here I am d...

Q: 1² – 1 f(r) : 1² + 4°

A: We have to sketch the curve of given f(x)

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: This question is related to application of derivatives.

Q: Find the derivative of the trigonometric function. y = 6 sin(3nx)

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Q: y 3.0f (1, e) 2.5 2.아 y-e* 1.5 1.0 /y = xe² 0.5 -1.0 -0.5 0.5 1.0 1.5 2.0

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Q: Consider the function y = -x3 + 3x² – 2. a) Find the critical points. b) Use the 2nd Derivative Test...

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Q: Öz Use implicit differentiation to find and 3yz? – x In(yz) = z. dx dy

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Q: Integrals. Find the indefinite integral. | (7 - 6)(6t + 12) dt = + C

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Q: A tank, shaped like a cone has height.10 meters and base radius 3 meters long. It is placed so that ...

A: We have to find work done  to pull out all water from tank.

Q: visitor is staying in an inn that is 10 miles west of the closest point on a shoreline to a coral re...

A: Please follow step 2nd . 

Q: evaluate f(x)=-4x^4-4x^3-3x^2+1 to find f(-5), using synthetic division with table work. Thanks

A: Given query is to find the value of the function usinge synthetic division.

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A: First I have written Ratio test, then use it to the given series and find that series CONVERGES.

Q: JA large cube of ice melts such that it maintains its shape. The surface area is decreasing at the r...

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Q: 1. The Average Rate of Change ("ARC") to. Given that f(x) = -2x² +4, what is the ARC: 1) From 0 to 2...

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please ...

Q: siven X(z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

A: In this question we have to find the value of x(1).